Muhammad Amir Ali and Elisabeth Anna Sophia Köbis
Some new Q-Hermite-Hadamard-Mercer Inequalities And Related Estimates in Quantum Calculus
Journal of Nonlinear and Variational Analysis

Muhammad Amir Ali, Hüseyin Budak Budak and Elisabeth Anna Sophia Köbis
Some new and general versions of q-Hermite-Hadamard-Mercer inequalities
Filomat

Martin Arnold, Maren Hantke, Raphael Kruse, Helmut Podhaisky, Elena Celledoni, Jason Frank and Jens Lang
Numerical solution of differential and differential-algebraic equations. Selected papers from NUMDIFF-16
Journal of Computational and Applied Mathematics

Seth D. Axen, Mateusz Baran, Ronny Bergmann and Krzysztof Rzecki
Manifolds.jl: An Extensible Julia Framework for Data Analysis on Manifolds
ACM Transactions on Mathematical Software

Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt and José Vidal-Núñez
Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging
SIAM Journal of Imaging Sciences

Mohammed Ayalew Belay, Sindre Stenen Blakseth, Adil Rasheed and Pierluigi Salvo Rossi
Unsupervised Anomaly Detection for IoT-Based Multivariate Time Series: Existing Solutions, Performance Analysis and Future Directions
Sensors

Sindre Stenen Blakseth, Leif Erik Andersson, Rubén Mocholí Montañés and Marit Jagtoyen Mazzetti
Hybrid Dynamic Surrogate Modelling for a Once-Through Steam Generator
Computer-aided chemical engineering

Krzysztof Bogdan, Damian Fafuła and Artur Jakub Rutkowski
The Douglas formula in L^p
NoDEA. Nonlinear differential equations and applications (Printed ed.)

Matteo Bonforte and Jørgen Endal
Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities
Journal of Functional Analysis

Karl Kristian Brustad, Erik Kristian Lindgren and Peter Lindqvist
The infinity-Laplacian in smooth convex domains and in a square
Mathematics in Engineering

Elena Celledoni, Helge Glöckner, Jørgen Nilsen Riseth and Alexander Schmeding
Deep neural networks on diffeomorphism groups for optimal shape reparametrization
BIT Numerical Mathematics

Jiawei Chen, Ruixi Yang, Elisabeth Anna Sophia Köbis and Tao Zhang
Robust duality and saddle point characterizations for nonconvex multiobjective optimization with data uncertainty
Journal of Nonlinear and Convex Analysis

Joscha Diehl, Kurusch Ebrahimi-Fard and Nikolas Tapia
Generalized iterated-sums signatures
Journal of Algebra

Nguyen Huynh Vu Duy, Hung Nguyen Van, Elisabeth Anna Sophia Köbis and Jen-Chih Yao
Levitin-Polyak well-posedness for symmetric weak vector quasi-equilibrium problems
Journal of Nonlinear and Convex Analysis

Kurusch Ebrahimi-Fard, Adrián Celestino, Leon Witzman, Daniel Perales and Alexandru Nica
Multiplicative and semi-multiplicative functions on non-crossing partitions, and relations to cumulants
Advances in Applied Mathematics

Kurusch Ebrahimi-Fard, Frédéric Patra, Lorenzo Zambotti and Nikolas Tapia
Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability
SIGMA. Symmetry, Integrability and Geometry

Mats Ehrnstrom, Samuel Walsh and Chongchun Zeng
Smooth stationary water waves with exponentially localized vorticity
Journal of the European Mathematical Society (Print)

Jørgen Endal, Liviu I. Ignat and Fernando Quirós
Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection
Journal des Mathématiques Pures et Appliquées

Katrin Grunert and Audun Reigstad
A regularized system for the nonlinear variational wave equation
SN Partial Differential Equations and Applications (SN PDE)

Christian Günther, Elisabeth Anna Sophia Köbis, Paul Schmoelling and Christiane Tammer
Vectorial penalisation in vector optimisation in real linear-topological spaces
Journal of Nonlinear and Variational Analysis

Fredrik Hildrum and Jun Xue
Periodic Hölder waves in a class of negative-order dispersive equations
Journal of Differential Equations

Elisabeth Anna Sophia Köbis and Christiane Tammer
Optimality conditions in optimization under uncertainty
Journal of Nonlinear and Variational Analysis

Marco Leonardi, Martin Ludvigsen, Annette Stahl and Edmund Førland Brekke
UVS: underwater visual SLAM—a robust monocular visual SLAM system for lifelong underwater operations
Autonomous Robots

Zakari Midjiyawa, Jon Vegard Venås, Trond Kvamsdal, Arne Morten Kvarving, Knut Helge Midtbø and Adil Rasheed
Nested computational fluid dynamic modeling of mean turbulent quantities estimation in complex topography using AROME-SIMRA
Journal of Wind Engineering and Industrial Aerodynamics

Ola Isaac Høgåsen Mæhlen, Kristoffer Varholm and Mats Ehrnstrom
On the precise cusped behaviour of extreme solutions to Whitham-type equations
Annales de l'Institut Henri Poincare. Analyse non linéar

Douglas Ramalho Queiroz Pacheco and Ernesto Castillo
Consistent splitting schemes for incompressible viscoelastic flow problems
International Journal for Numerical Methods in Engineering

Ilija Samardžija, Knut Vilhelm Høyland, Bernt Johan Leira and Arvid Næss
Consolidated layer thickness in probabilistic simulation of first-year ice ridges
Cold Regions Science and Technology

Florian Stadtmann, Adil Rasheed, Trond Kvamsdal, Kjetil Andre Johannessen, Omer San, Konstanze Kölle, John Olav Giæver Tande, Idar Barstad, Alexis Benhamou, Thomas Brathaug, Tore Christiansen, Anouk-Letizia Firle, Alexander Fjeldly, Lars Frøyd, Alexander Gleim, Alexander Høiberget, Catharine Meissner, Guttorm Nygård, Jørgen Olsen, Håvard Paulshus, Tore Rasmussen, Elling Rishoff, Francesco Scibilia and John Olav Skogås
Digital Twins in Wind Energy: Emerging Technologies and Industry-Informed Future Directions
IEEE Access

Tale Bakken Ulfsby, André Jürgen Massing and Simon Sticko
Stabilized cut discontinuous Galerkin methods for advection–reaction problems on surfaces
Computer Methods in Applied Mechanics and Engineering

Siyuan Yu, Wenhua Wu and Arvid Næss
Extreme value prediction with modified Enhanced Monte Carlo method based on tail index correction
Journal of Sea Research

Zhiang Zhou, Ming Huang and Elisabeth Anna Sophia Köbis
Globally proper efficiency of set optimization problems based on the certainly set less order relation
Applicable Analysis

Félix del Teso, Jørgen Endal, Espen Robstad Jakobsen and Juan Luis Vázquez
Evolution driven by the infinity fractional Laplacian
Calculus of Variations and Partial Differential Equations

Mahdi J. Hasan Al-Kaabi, Kurusch Ebrahimi-Fard and Dominique Manchon
Post-Lie Magnus Expansion and BCH-Recursion
SIGMA. Symmetry, Integrability and Geometry

Maximilian Balmus, Johan Hoffman, André Massing and David A. Nordsletten
A stabilized multidomain partition of unity approach to solving incompressible viscous flow
Computer Methods in Applied Mechanics and Engineering

Yared Worku Bekele, Eivind Fonn, Trond Kvamsdal, Arne Morten Kvarving and Steinar Nordal
Mixed Method for Isogeometric Analysis of Coupled Flow and Deformation in Poroelastic Media
Applied Sciences

Fred Espen Benth and Luca Galimberti
Stochastic integrals and Gelfand integration in Fréchet spaces
Infinite Dimensional Analysis Quantum Probability and Related Topics

Fred Espen Benth, Nils Detering and Luca Galimberti
Neural networks in Fréchet spaces
Annals of Mathematics and Artificial Intelligence

Ronny Bergmann
Manopt.jl: Optimization on Manifolds in Julia
Journal of Open Source Software (JOSS)

Ronny Bergmann, Roland Herzog, Julian Ortiz López and Anton Schiela
First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints
Journal of Optimization Theory and Applications

Sindre Stenen Blakseth, Adil Rasheed, Trond Kvamsdal and Omer San
Deep neural network enabled corrective source term approach to hybrid analysis and modeling
Neural Networks

Sindre Stenen Blakseth, Adil Rasheed, Trond Kvamsdal and Omer San
Combining physics-based and data-driven techniques for reliable hybrid analysis and modeling using the corrective source term approach
Applied Soft Computing

Alberto Bressan, Sondre Tesdal Galtung, Katrin Grunert and Khai Tien Nguyen
Shock interactions for the Burgers-Hilbert equation
Communications in Partial Differential Equations

Alberto Bressan, Sondre Tesdal Galtung and Qing Sun
Optimal shapes for tree roots
SIAM Journal on Mathematical Analysis

Erik Burman, Stefan Frei and André Massing
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains
Numerische Mathematik

José A. Carrillo, Helge Holden and Susanne Solem
Noise-driven bifurcations in a neural field system modelling networks of grid cells
Journal of Mathematical Biology

Elena Celledoni, Andrea Leone, Davide Murari and Brynjulf Owren
Learning Hamiltonians of constrained mechanical systems
Journal of Computational and Applied Mathematics

Elena Celledoni, Charalambos Evripidou, David I. McLaren, Brynjulf Owren, G.R.W. Quispel and Benjamin Kwanen Tapley
DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS
Journal of Computational Dynamics

Elena Celledoni, Ergys Cokaj, Andrea Leone, Davide Murari and Brynjulf Rustad Owren
Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators
Mathematics in Industry

Indranil Chowdhury, Olav Ersland and Espen Robstad Jakobsen
On Numerical Approximations of Fractional and Nonlocal Mean Field Games
Foundations of Computational Mathematics

Joscha Diehl, Kurusch Ebrahimi-Fard and Nikolas Tapia
Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions
SIAM Journal on applied algebra and geometry

Mats Ehrnstrom and Yuexun Wang
Enhanced existence time of solutions to evolution equations of Whitham type
Discrete and Continuous Dynamical Systems. Series A

Mats Ehrnstrom, Dag Nilsson and Mark D Groves
Existence of Davey–Stewartson type solitary waves for the fully dispersive Kadomtsev–Petviashvilii equation
SIAM Journal on Mathematical Analysis

Mats Ehrnstrom, Katerina Nik and Christoph Walker
A direct construction of a full family of Whitham solitary waves
Proceedings of the American Mathematical Society

Oleg Gaidai, Yihan Xing, Fang Wang, Shuaishuai Wang, Ping Yan and Arvid Næss
Improving Extreme Anchor Tension Prediction of a 10-MW Floating Semi-Submersible Type Wind Turbine, Using Highly Correlated Surge Motion Record
Frontiers in Mechanical Engineering

Oleg Gaidai, Gaute Storhaug, Fang Wang, Ping Yan, Arvid Næss, Yu Wu, Yihan Xing and Jiayao Sun
On-Board Trend Analysis for Cargo Vessel Hull Monitoring Systems
ISOPE - International Offshore and Polar Engineering Conference. Proceedings

Sondre Tesdal Galtung and Katrin Grunert
Stumpons are non-conservative traveling waves of the Camassa–Holm equation
Physica D : Non-linear phenomena

Bouza Allende Gemayqzel, Elisabeth Anna Sophia Köbis, Christiane Tammer and Jen-Chih Yao
Editorial: A Special Issue on the theory and numerical methods for vector optimization problems with respect to variable domination structures
Journal of Nonlinear and Variational Analysis

Markus Grasmair and Esten Nicolai Wøien
A PDE-Based Method for Shape Registration
SIAM Journal of Imaging Sciences

Katrin Grunert and Helge Holden
Uniqueness of conservative solutions for the Hunter–Saxton equation
Research in the Mathematical Sciences

Katrin Grunert and Matthew Tandy
Lipschitz stability for the Hunter-Saxton equation
Journal of Hyperbolic Differential Equations

Martin Grötschel, Harald Hanche-Olsen, Helge Holden and Michael P. Krystek
On angular measures in axiomatic Euclidean planar geometry
Measurement Science Review

Helge Holden, Kenneth Aksel Hvistendahl Karlsen and Ho Cheung Pang
Strong solutions of a stochastic differential equation with irregular random drift
Stochastic Processes and their Applications

Helge Holden, Kenneth Aksel Hvistendahl Karlsen and Ho Cheung Pang
Global well-posedness of the viscous Camassa–Holm equation with gradient noise
Discrete and Continuous Dynamical Systems. Series A

Eirik Keilegavlen, Eivind Fonn, Kjetil Andre Johannessen, Kristoffer Eikehaug, Jakub Wiktor Both, Martin Fernø, Trond Kvamsdal, Adil Rasheed and Jan Martin Nordbotten
PoroTwin: A Digital Twin for a FluidFlower Rig
Transport in Porous Media

Elisabeth Anna Sophia Köbis and Christiane Tammer
An existence principle of Takahashi's type for vector optimization problems and applications
Journal of Nonlinear and Convex Analysis

Elisabeth Anna Sophia Köbis and Markus Arthur Köbis
Approximate elements for set optimization problems with respect to variable domination structures
Journal of Nonlinear and Variational Analysis

Elisabeth Anna Sophia Köbis, Markus Arthur Köbis and Christiane Tammer
A FIRST BIBLIOGRAPHY ON SET AND VECTOR OPTIMIZATION PROBLEMS WITH RESPECT TO VARIABLE DOMINATION STRUCTURES
Journal of Nonlinear and Variational Analysis

Elisabeth Anna Sophia Köbis, Andrey Sarychev, Tatiana Tchemisova and Gerhard Wilhelm-Weber
Editorial: International Conference "Dynamical Control and Optimization"
Optimization

Geir Severin Rakh Elvatun Langberg, Jan Franz Nygård, Vinay Chakravarthi Gogineni, Mari Nygård, Markus Grasmair and Valeriya Naumova
Towards a data-driven system for personalized cervical cancer risk stratification
Scientific Reports

Geir Severin Rakh Elvatun Langberg, Mikal Solberg Stapnes, Jan Franz Nygård, Mari Nygård, Markus Grasmair and Valeriya Naumova
Matrix factorization for the reconstruction of cervical cancer screening histories and prediction of future screening results
BMC Bioinformatics

Suraj Pawar, Omer San, Prakash Vedula, Adil Rasheed and Trond Kvamsdal
Multi-fidelity information fusion with concatenated neural networks
Scientific Reports

Ludwig Rahm
An operadic approach to substitution in Lie-Butcher series
Forum of Mathematics, Sigma

Douglas Ramalho Queiroz Pacheco and Olaf Steinbach
On the initial higher-order pressure convergence in equal-order finite element discretizations of the Stokes system
Computers and Mathematics with Applications

Douglas Ramalho Queiroz Pacheco
On the numerical treatment of viscous and convective effects in relative pressure reconstruction methods
International Journal for Numerical Methods in Biomedical Engineering

Douglas Ramalho Queiroz Pacheco and Richard Schussnig
Consistent pressure Poisson splitting methods for incompressible multi-phase flows: eliminating numerical boundary layers and inf-sup compatibility restrictions
Computational Mechanics

Richard Schussnig, Douglas Ramalho Queiroz Pacheco, Manfred Kaltenbacher and Thomas-Peter Fries
Semi-implicit fluid–structure interaction in biomedical applications
Computer Methods in Applied Mechanics and Engineering

Richard Schussnig, Douglas Ramalho Queiroz Pacheco and Thomas-Peter Fries
Efficient split-step schemes for fluid–structure interaction involving incompressible generalised Newtonian flows
Computers & structures

Maurício Silva Louzeiro, Ronny Bergmann and Roland Herzog
Fenchel Duality and a Separation Theorem on Hadamard Manifolds
SIAM Journal on Optimization

Chana Sinsabvarodom, Arvid Næss, Bernt Johan Leira and Wei Chai
Extreme Value Estimation of Beaufort Sea Ice Dynamics Driven by Global Wind Effects
China Ocean engineering

Chana Sinsabvarodom, Wei Chai, Bernt Johan Leira, Knut Vilhelm Høyland and Arvid Næss
Ice rose diagrams for probabilistic characterization of the ice drift behavior in the Beaufort Sea
Ocean Engineering

Jiayao Sun, Oleg Gaidai, Fang Wang, Arvid Næss, Yu Wu, Yihan Xing, Eric-Jan van Loon, Ausberto Rivera Medina and Junlei Wang
Extreme riser experimental loads caused by sea currents in the Gulf of Eilat
Probabilistic Engineering Mechanics

Mandar Tabib, Vasileios Tsiolakis, Suraj Pawar, Shady E. Ahmed, Adil Rasheed, Trond Kvamsdal and Omer San
Hybrid deep-learning POD-based parametric reduced order model for flow around wind-turbine blade
Journal of Physics: Conference Series (JPCS)

Benjamin Kwanen Tapley, Helge Ingolf Andersson, Elena Celledoni and Brynjulf Owren
Computational geometric methods for preferential clustering of particle suspensions
Journal of Computational Physics

Jon Vegard Venås and Trond Kvamsdal
Isogeometric analysis of acoustic scattering with perfectly matched layers (IGAPML)
Computer Methods in Applied Mechanics and Engineering

Yihan Xing, Oleg Gaidai, Yucong Ma, Arvid Næss and Fang Wang
A novel design approach for estimation of extreme responses of a subsea shuttle tanker hovering in ocean current considering aft thruster failure
Applied Ocean Research

Xiaosen Xu, Fang Wang, Oleg Gaidai, Arvid Næss, Yihan Xing and Junlei Wang
Bivariate statistics of floating offshore wind turbine dynamic response under operational conditions
Ocean Engineering

Félix del Teso, Jørgen Endal and Espen Robstad Jakobsen
Uniform tail estimates and Lp(RN)-convergence for finite-difference approximations of nonlinear diffusion equations
Discrete and Continuous Dynamical Systems. Series A

Helge Ingolf Andersson, Elena Celledoni, Laurel Ohm, Brynjulf Owren and Benjamin Tapley
An integral model based on slender body theory, with applications to curved rigid fibers
Physics of Fluids

Martin Arnold, Helmut Podhaisky, Rüdiger Weiner, Elena Celledoni, Jason Frank and Jens Lang
Numerical Solution of Differential and Differential–Algebraic Equations. Selected Papers from NUMDIFF-15
Journal of Computational and Applied Mathematics

Ronny Bergmann, Roland Herzog, Maurício Silva Louzeiro, Daniel Tenbrinck and José Vidal-Núñez
Fenchel duality for Convex Optimization and a Primal Dual Algorithm on Riemannian Manifolds
Foundations of Computational Mathematics

Alex Bihlo, James Jackaman and Francis Valiquette
Invariant variational schemes for ordinary differential equations
Studies in applied mathematics (Cambridge)

Adrian de Jesus Celestino Rodriguez, Kurusch Ebrahimi-Fard, Frédéric Patras and Daniel Perales
Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion
Foundations of Computational Mathematics

Elena Celledoni, Matthias J. Ehrhardt, Christian Etmann, Robert I. McLachlan, Brynjulf Owren, Carola-Bibiane Schönlieb and Ferdia Sherry
Structure preserving deep learning
European journal of applied mathematics

Elena Celledoni and James Jackaman
Discrete conservation laws for finite element discretisations of multisymplectic PDEs
Journal of Computational Physics

Elena Celledoni, Matthias J. Ehrhardt, Christian Etmann, Brynjulf Owren, Carola-Bibiane Schönlieb and Ferdia Sherry
Equivariant neural networks for inverse problems
Inverse Problems

Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari and Brynjulf Owren
Lie Group integrators for mechanical systems
International Journal of Computer Mathematics

Giuseppe Maria Coclite, Helge Holden and Nils Henrik Risebro
Singular diffusion with Neumann boundary conditions
Nonlinearity

Kristian Debrabant, Anne Kværnø and Nicky Cordua Mattson
Runge-Kutta Lawson schemes for stochastic differential equations
BIT Numerical Mathematics

Kristian Debrabant, Anne Kværnø and Nicky Cordua Mattson
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants
BIT Numerical Mathematics

Kurusch Ebrahimi-Fard, Frédéric Patras, Nikolas Tapia and Lorenzo Zambotti
Wick polynomials in non-commutative probability: A group-theoretical approach
Canadian Journal of Mathematics (CJM)

Kurusch Ebrahimi-Fard, Adrian de Jesus Celestino Rodriguez and Daniel Perales Anaya
Relations between Infinitesimal Non-Commutative Cumulants
Documenta Mathematica

Kurusch Ebrahimi-Fard and Frederic Patras
From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras
Algebra and Applications 2: Combinatorial Algebra and Hopf Algebras

Olav Ersland and Espen Robstad Jakobsen
On fractional and nonlocal parabolic Mean Field Games in the whole space
Journal of Differential Equations

Luca Galimberti and Kenneth H. Karlsen
Renormalization of stochastic continuity equations on Riemannian manifolds
Stochastic Processes and their Applications

Sondre Tesdal Galtung and Katrin Grunert
A numerical study of variational discretizations of the Camassa–Holm equation
BIT Numerical Mathematics

Sondre Tesdal Galtung and Xavier Raynaud
A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa–Holm system
Nonlinearity

Vinay Chakravarthi Gogineni, Geir Severin Rakh Elvatun Langberg, Valeriya Naumova, Jan Franz Nygård, Mari Nygård, Markus Grasmair and Stefan Werner
Data-Driven Personalized Cervical Cancer Risk Prediction: A Graph-Perspective
2021 IEEE Statistical Signal Processing Workshop (SSP)

Vinay Chakravarthi Gogineni, Geir Severin Rakh Elvatun Langberg, Valeriya Naumova, Jan Franz Nygård, Nygård, Mari, Markus Grasmair and Stefan Werner
Recurrent Time-Varying Multi-Graph Convolutional Neural Network for Personalized Cervical Cancer Risk Prediction
IEEE 55th Asilomar Conference on Signals, Systems & Computers

Markus Grasmair and Valeriya Naumova
Multiparameter Approaches in Image Processing
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging

W. Steven Gray and Kurusch Ebrahimi-Fard
Generating series for networks of Chen–Fliess series
Systems & control letters (Print)

Katrin Grunert, Anders Samuelsen Nordli and Susanne Solem
Numerical conservative solutions of the Hunter–-Saxton equation
BIT Numerical Mathematics

Katrin Grunert, Helge Holden, Espen Robstad Jakobsen and Nils Christian Stenseth
Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model
Proceedings of the National Academy of Sciences of the United States of America

Katrin Grunert, Helge Holden, Espen Robstad Jakobsen and Nils Christian Stenseth
Reply to Best and Ashby: The concept of evolutionarily stable strategies (ESS) helps link ecology and evolution
Proceedings of the National Academy of Sciences of the United States of America

Katrin Grunert and Audun Reigstad
Traveling waves for the nonlinear variational wave equation
SN Partial Differential Equations and Applications (SN PDE)

César Gutiérrez, Lidia Huerga, Elisabeth Anna Sophia Köbis and Christiane Tammer
A scalarization scheme for binary relations with applications to set-valued and robust optimization
Journal of Global Optimization

Saeed Gheisari Hasnijeh, Arvid Naess, Mehrdad Poursina and Hossein Karimpour
Stochastic dynamical response of a gear pair under filtered noise excitation
International Journal of Non-Linear Mechanics

Helge Holden, Kenneth Hvistendahl Karlsen and Ho Cheung Pang
The Hunter-Saxton equation with noise
Journal of Differential Equations

Elisabeth Anna Sophia Köbis and Markus Arthur Köbis
The Weighted Set Relation: Characterizations in the Convex Case
Journal of Nonlinear and Variational Analysis

Elisabeth Anna Sophia Köbis, Jinlu Li, Adrian Petruşel and Jen-Chih Yao
Recent development in nonlinear and variational analysis and optimization
Optimization

Peter Lindqvist and Erik Kristian Lindgren
The gradient flow of infinity-harmonic potentials
Advances in Mathematics

Suraj Pawar, Omer San, Aditya Nair, Adil Rasheed and Trond Kvamsdal
Model fusion with physics-guided machine learning: Projection-based reduced-order modeling
Physics of Fluids

Douglas Ramalho Queiroz Pacheco, Richard Schussnig and Thomas-Peter Fries
An efficient split-step framework for non-Newtonian incompressible flow problems with consistent pressure boundary conditions
Computer Methods in Applied Mechanics and Engineering

Douglas Ramalho Queiroz Pacheco and Olaf Steinbach
A continuous finite element framework for the pressure Poisson equation allowing non-Newtonian and compressible flow behavior
International Journal for Numerical Methods in Fluids

Douglas Ramalho Queiroz Pacheco, Richard Schussnig, Olaf Steinbach and Thomas-Peter Fries
A global residual-based stabilization for equal-order finite element approximations of incompressible flows
International Journal for Numerical Methods in Engineering

Audun Reigstad, Katrin Grunert, Peter Lindqvist and Helge Holden
A Regularized System for the Nonlinear Variational Wave Equation
Doctoral Dissertation

Malte Rolf-Pissarczyk, Maximilian P. Wollner, Douglas Ramalho Queiroz Pacheco and Gerhard Holzapfel
Efficient computational modelling of smooth muscle orientation and function in the aorta
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences

Carlos Renan dos Santos, Douglas Ramalho Queiroz Pacheco, Haithem E. Taha and Mohamed Y. Zakaria
Nonlinear modeling of electro-aeroelastic dynamics of composite beams with piezoelectric coupling
Composite structures

Richard Schussnig, Douglas Ramalho Queiroz Pacheco and Thomas-Peter Fries
Robust stabilised finite element solvers for generalised Newtonian fluid flows
Journal of Computational Physics

Chana Sinsabvarodom, Bernt Johan Leira, Wei Chai and Arvid Næss
Short-term extreme mooring loads prediction and fatigue damage evaluation for station-keeping trials in ice
Ocean Engineering

Chana Sinsabvarodom, Bernt Johan Leira, Wei Chai and Arvid Næss
Probabilistic Fatigue Assessment of a Mooring Line Based on Station-Keeping Trials in Ice
ASME 2021 40th International Conference on Ocean, Offshore and Arctic Engineering Volume 7: Polar and Arctic Sciences and Technology

Mandar Tabib, Knut Helge Midtbø, Adil Rasheed, Trond Kvamsdal and Tor Skaslien
A nested multi-scale model for assessing urban wind conditions : Comparison of Large Eddy Simulation versus RANS turbulence models when operating at the finest scale of the nesting
Journal of Physics: Conference Series (JPCS)

Vasileios Tsiolakis, Trond Kvamsdal, Adil Rasheed, Eivind Fonn and Harald van Brummelen
Reduced order models for finite-volume simulations of turbulent flow around wind-turbine blades
Journal of Physics: Conference Series (JPCS)

Siyuan Yu, Wenhua Wu and Arvid Næss
Current profile extreme prediction in the south china sea based on the eof-acer method, by considering current directions
International Journal of Offshore and Polar Engineering

Aoudou Midjiyawa Zakari, Etienne Cheynet, Heinrich Joachim Reuder, Hálfdán Ágústsson and Trond Kvamsdal
Potential and challenges of wind measurements using met-masts in complex topography for bridge design: Part I - Integral flow characteristics
Journal of Wind Engineering and Industrial Aerodynamics

Aoudou Midjiyawa Zakari, Etienne Cheynet, Joachim Reuder, Hálfdán Ágústsson and Trond Kvamsdal
Potential and challenges of wind measurements using met-masts in complex topography for bridge design: Part II – Spectral flow characteristics
Journal of Wind Engineering and Industrial Aerodynamics

Nathael Alibaud, Félix del Teso, Jørgen Endal and Espen Robstad Jakobsen
The Liouville theorem and linear operators satisfying the maximum principle.
Journal des Mathématiques Pures et Appliquées

José Antonio Carrillo, Katrin Grunert and Helge Holden
A Lipschitz metric for the Camassa-Holm equation
Forum of Mathematics, Sigma

Maximilian Balmus, André Massing, Johan Hoffman, Reza Razavi and David Nordsletten
A partition of unity approach to fluid mechanics and fluid–structure interaction
Computer Methods in Applied Mechanics and Engineering

Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt and José Vidal-Núñez
Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems
Inverse Problems

Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt and José Vidal-Núñez
Total variation of the normal vector field as shape prior
Inverse Problems

Ronny Bergmann and Dennis Merkert
FFT-based homogenization on periodic anisotropic translation invariant spaces
Applied and Computational Harmonic Analysis

Alberto Bressan, Sondre Tesdal Galtung, Audun Reigstad and Johanna Ridder
Competition models for plant stems
Journal of Differential Equations

Alberto Bressan and Sondre Tesdal Galtung
A 2-dimensional shape optimization problem for tree branches
Networks and Heterogeneous Media

Karl K. Brustad, Peter Lindqvist and Juan J. Manfredi
A discrete stochastic interpretation of the dominative p-laplacian
Differential and Integral Equations

Erik Burman, Peter Hansbo, Mats Larson and Andre Massing
A stable cut finite element method for partial differential equations on surfaces: The Helmholtz–Beltrami operator
Computer Methods in Applied Mechanics and Engineering

Erik Burman, Peter Hansbo, Mats Larson, André Massing and Sara Zahedi
A stabilized cut streamline diffusion finite element method for convection--diffusion problems on surfaces
Computer Methods in Applied Mechanics and Engineering

Lu-Chuan Ceng, Elisabeth Anna Sophia Köbis and Xiaopeng Zhao
On General Implicit Hybrid Iteration Method for Triple Hierarchical Variational Inequalities with Hierarchical Variational Inequality Constraints
Optimization

Wei Chai, Bernt Johan Leira, Arvid Næss, Knut Vilhelm Høyland and Sören Ehlers
Development of environmental contours for first-year ice ridge statistics
Structural Safety

Rinaldo M Colombo, Helge Holden and Francesca Marcellini
On the microscopic modeling of vehicular traffic on general networks
SIAM Journal on Applied Mathematics

Charles Henry Alexander Curry, Kurusch Ebrahimi-Fard, Dominique Manchon and Hans Zanna Munthe-Kaas
Planarly branched rough paths and rough differential equations on homogeneous spaces
Journal of Differential Equations

Charles Henry Alexander Curry, Kurusch Ebrahimi-Fard and Brynjulf Owren
The Magnus expansion and post-Lie algebras
Mathematics of Computation

Joscha Diehl, Kurusch Ebrahimi-Fard and Nikolas Tapia
Time-warping invariants of multidimensional time series
Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications

Jørgen Dokken, August Johansson, André Massing and Simon Wolfgang Funke
A multimesh finite element method for the Navier–Stokes equations based on projection methods
Computer Methods in Applied Mechanics and Engineering

Kurusch Ebrahimi-Fard, Frédéric Patras, Nikolas Tapia and Lorenzo Zambotti
Hopf-algebraic deformations of products and Wick polynomials
International Mathematics Research Notices (IMRN)

Kurusch Ebrahimi-Fard, Loïc Foissy, Joachim Kock and Frédéric Patras
Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations
Advances in Mathematics

Kurusch Ebrahimi-Fard, W. Steven Gray and Dominique Manchon
Evaluating Generating Functions for Periodic Multiple Polylogarithms via Rational Chen–Fliess Series
Springer Proceedings in Mathematics & Statistics

Mats Ehrnstrom, Samuel Walsh and Chongchun Zeng
Smooth stationary water waves with exponentially localized vorticity
Journal of the European Mathematical Society (Print)

Eivind Fonn, Harald van Brummelen, Trond Kvamsdal and Adil Rasheed
Fast divergence-conforming reduced basis methods for stationary and transient flow problems
Journal of Physics: Conference Series (JPCS)

Oleg Gaidai, Xiaosen Xu, Arvid Næss, Yong Cheng, Renchuan Ye and Junlei Wang
Bivariate statistics of wind farm support vessel motions while docking
Ships and Offshore Structures

Sondre Tesdal Galtung, Helge Holden, Katrin Grunert and Xavier Raynaud
Discretizations of Wave Equations and Applications of Variational Principles
Doctoral Dissertation

Markus Grasmair
Source Conditions for Non-Quadratic Tikhonov Regularization
Numerical Functional Analysis and Optimization

Ceren Gurkan, Simon Sticko and André Massing
Stabilized Cut Discontinuous Galerkin Methods for Advection-Reaction Problems
SIAM Journal on Scientific Computing

Fredrik Hildrum
Solitary waves in dispersive evolution equations of Whitham type with nonlinearities of mild regularity
Nonlinearity

Nguyen Van Hung, Le Xuan Dai, Elisabeth Anna Sophia Köbis and Jen-Chih Yao
The generic stability of solutions for vector quasi-equilibrium problems on Hadamard manifolds
Journal of Nonlinear and Variational Analysis

Elisabeth Anna Sophia Köbis, Markus Arthur Köbis and Xiaolong Qin
An Inequality Approach to Approximate Solutions of Set Optimization Problems in Real Linear Spaces
Mathematics

Erik Lindgren and Peter Lindqvist
On a comparison principle for Trudinger's equation
Advances in Calculus of Variations

Suraj Pawar, Omer San, Burak Aksoylu, Adil Rasheed and Trond Kvamsdal
Physics guided machine learning using simplified theories
Physics of Fluids

Adil Rasheed, Omer San and Trond Kvamsdal
Digital Twin: Values, Challenges and Enablers from a modelling perspective
IEEE Access

Muhammad Salman Siddiqui, Adil Rasheed and Trond Kvamsdal
Numerical assessment of RANS turbulence models for the development of data driven Reduced Order Models
Ocean Engineering

Chana Sinsabvarodom, Wei Chai, Bernt Johan Leira, Knut Vilhelm Høyland and Arvid Næss
Uncertainty assessments of structural loading due to frst year ice based on the ISO standard by using Monte-Carlo simulation
Ocean Engineering

Chana Sinsabvarodom, Bernt Johan Leira, Wei Chai and Arvid Næss
Extreme Value Estimation of Mooring Loads Based on Station-Keeping Trials in Ice
ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering - Volume 7: Polar and Arctic Sciences and Technology

Duy Tan Tran, Haakon Robinson, Adil Rasheed, Omer San, Mandar Tabib and Trond Kvamsdal
GANs enabled super-resolution reconstruction of wind field
Journal of Physics: Conference Series (JPCS)

Kristoffer Varholm, Erik Wahlén and Samuel Walsh
On the Stability of Solitary Water Waves with a Point Vortex
Communications on Pure and Applied Mathematics

Kristoffer Varholm
Global bifurcation of waves with multiple critical layers
SIAM Journal on Mathematical Analysis

Xiaosen Xu, Oleg Gaidai, Arvid Næss and Prasanta Sahoo
Extreme loads analysis of a site-specific semi-submersible type wind turbine
Ships and Offshore Structures

Siyuan Yu, Wenhua Wu, Bin Xie, Shisheng Wang and Arvid Næss
Extreme value prediction of current profiles in the South China Sea based on EOFs and the ACER method
Applied Ocean Research

Siyuan Yu, Wenhua Wu, Ji Yao and Arvid Næss
Current profile extreme prediction in the south china sea based on the eof and acer method, by considering current directions
ISOPE - International Offshore and Polar Engineering Conference. Proceedings

Félix del Teso, Jørgen Endal and Juan Luis Vázquez
On the two-phase fractional Stefan problem
Advanced Nonlinear Studies

Qamrul Hasan Ansari, Elisabeth Anna Sophia Köbis and Pradeep Kumar Sharma
Characterizations of Multiobjective Robustness via Oriented Distance Function
Journal of Optimization Theory and Applications

Jose Antonio Carrillo, Katrin Grunert and Helge Holden
A Lipschitz metric for the Hunter–Saxton equation
Communications in Partial Differential Equations

Alemayehu Adugna Arara, Kristian Debrabant and Anne Kværnø
Stochastic B-series and order conditions for exponential integrators
Lecture Notes in Computational Science and Engineering

Martin Benning, Elena Celledoni, Matthias J. Ehrhardt, Brynjulf Owren and Carola-Bibiane Schönlieb
Deep learning as optimal control problems: models and numerical methods
Journal of Computational Dynamics

Ronny Bergmann and Roland Herzog
Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds
SIAM Journal on Optimization

Imran Habib Biswas, Indranil Chowdhury and Espen Robstad Jakobsen
On the rate of convergence for monotone numerical schemes for nonlocal Isaacs equations
SIAM Journal on Numerical Analysis

Yvain Bruned, Charles Henry Alexander Curry and Kurusch Ebrahimi-Fard
Quasi-shuffle algebras and renormalisation of rough differential equations
Bulletin of the London Mathematical Society

Erik Burman, Peter Hansbo, Mats Larson, Larsson Karl and André Massing
Finite element approximation of the Laplace–Beltrami operator on a surface with boundary
Numerische Mathematik

Elena Celledoni, Sølve Eidnes, Brynjulf Owren and Torbjørn Ringholm
Energy-preserving methods on Riemannian manifolds
Mathematics of Computation

Elena Celledoni, David McLaren, Brynjulf Owren and Reinout Quispel
Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals
Journal of Physics A: Mathematical and Theoretical

Elena Celledoni, Marta Farre Puiggali, Eirik Hoel Høiseth and David Martin de Diego
Energy-Preserving Integrators Applied to Nonholonomic Systems
Journal of nonlinear science

Elena Celledoni, Charalambos Evripidou, David I. McLaren, Brynjulf Owren, Gilles Reinout Willem Quispel, Benjamin Tapley and Peter H. van der Kamp
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps
Journal of Physics A: Mathematical and Theoretical

Elena Celledoni and I. Robert McLachlan
Preface. Special issue in honour of Reinout Quispel
Journal of Computational Dynamics

Elena Celledoni, Pål Erik Lystad and Nikolas Tapia
Signatures in Shape analysis: An efficient approach to motion identification
Lecture Notes in Computer Science (LNCS)

Elena Celledoni, Halvor Snersrud Gustad, Nikita Kopylov and Henrik Sperre Sundklakk
Predicting bending moments with machine learning
Lecture Notes in Computer Science (LNCS)

Jiawei Chen, Xingxing Ju, Elisabeth Anna Sophia Köbis and Yeong-Cheng Liou
Tikhonov Type Regularization Methods for Inverse Mixed Variational Inequalities
Optimization

Jiawei Chen, Elisabeth Anna Sophia Köbis and Jen-Chih Yao
Optimality Conditions and Duality for Robust Nonsmooth Multiobjective Optimization Problems with Constraints
Journal of Optimization Theory and Applications

Charles Henry Alexander Curry and Brynjulf Owren
Variable step size commutator free Lie group integrators
Numerical Algorithms

Charles Henry Alexander Curry, Kurusch Ebrahimi-Fard and Hans Munthe-Kaas
What is a post-Lie algebra and why is it useful in geometric integration
Lecture Notes in Computational Science and Engineering

Charles Henry Alexander Curry, Kurusch Ebrahimi-Fard and Frederic Patras
On non-commutative stochastic exponentials
Lecture Notes in Computational Science and Engineering

Charles Henry Alexander Curry, Kurusch Ebrahimi-Fard, Simon J. A. Malham and Anke Wiese
Algebraic structures and stochastic differential equations driven by Levy processes
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences

Charles Henry Alexander Curry and Alexander Schmeding
Convergence of Lie group integrators
Numerische Mathematik

Charles Henry Alexander Curry, Stephen Marsland and Robert I. McLachlan
Principal symmetric space analysis
Journal of Computational Dynamics

Kurusch Ebrahimi-Fard and W. Steven Gray
The Faá di Bruno Hopf algebra for multivariable feedback recursions in the center problem for higher order Abel equations
Abel Symposia

Kurusch Ebrahimi-Fard and Frederic Patras
Shuffle group laws: applications in free probability
Proceedings of the London Mathematical Society

Mats Ehrnstrom and Yuexun Wang
Enhanced existence time of solutions to the fractional Korteweg de Vries equation
SIAM Journal on Mathematical Analysis

Mats Ehrnstrom and Erik Wahlén
On Whitham's conjecture of a highest cusped wave for a nonlocal dispersive equation
Annales de l'Institut Henri Poincare. Analyse non linéar

Mats Ehrnstrom, Filippo Remonato, Ola Isaac Høgåsen Mæhlen and Mathew A Johnson
On the Bifurcation Diagram of the Capillary–Gravity Whitham Equation
Water Waves

Eivind Fonn, Harald van Brummelen, Trond Kvamsdal and Adil Rasheed
Fast divergence-conforming reduced basis methods for steady Navier–Stokes flow
Computer Methods in Applied Mechanics and Engineering

Oleg Gaidai, Arvid Næss, Xiaosen Xu and Yong Cheng
Improving extreme wind speed prediction based on a short data sample, using a highly correlated long data sample
Journal of Wind Engineering and Industrial Aerodynamics

Oleg Gaidai, Arvid Næss, Oleh Karpa, Xiaosen Xu, Yong Cheng and Renchuan Ye
Improving extreme wind speed prediction for North Sea offshore oil and gas fields
Applied Ocean Research

Oleg Gaidai, Peng Dou, Arvid Næss, Michael Dimentberg, Yong Cheng and Renchuan Ye
Nonlinear 6D response statistics of a rotating shaft subjected to colored noise by path integration on GPU
International Journal of Non-Linear Mechanics

Oleg Gaidai, Gaute Storhaug, Arvid Næss, Renchuan Ye, Yong Cheng and Xiaosen Xu
Efficient fatigue assessment of ship structural details
Ships and Offshore Structures

Luca Galimberti and Kenneth Hvistendahl Karlsen
Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds
Journal of Hyperbolic Differential Equations

Ceren Gurkan and Andre Massing
A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems
Computer Methods in Applied Mechanics and Engineering

Niklas Hebestreit, Akhtar Khan, Elisabeth Anna Sophia Köbis and Christiane Tammer
Existence Theorems and Regularization Methods for Non-coercive Vector Variational and Vector Quasi-Variational Inequalities
Journal of Nonlinear and Convex Analysis

Helge Holden and Nils Henrik Risebro
Models for dense multilane vehicular traffic
SIAM Journal on Mathematical Analysis

Gao Hui, Oleg Gaidai, Arvid Næss, Gaute Storhaug and Xiaosen Xu
Improving container ship panel stress prediction, based on another highly correlated panel stress measurement
Marine Structures

Espen Robstad Jakobsen, Athena Picarelli and Christoph Reisinger
Improved order 1/4 convergence for piecewise constant policy approximation of stochastic control problems
Electronic Communications in Probability

Øystein Strengehagen Klemetsdal, Knut-Andreas Lie, Olav Møyner, Xavier Raynaud and Helge Holden
Efficient Solvers for Field-Scale Simulation of Flow and Transport in Porous Media
Doctoral Dissertation

Trond Kvamsdal, Knut Morten Okstad, Mukesh Kumar, Arne Morten Kvarving and Kjell Magne Mathisen
Adaptive Isogeometric Methods for Thin Plates
MekIT’19 - 10th National Conference on Computational Mechanics (Trondheim, Norway, 3-4 June 2019)

Elisabeth Anna Sophia Köbis, Markus Arthur Köbis and Xiaolong Qin
Nonlinear Separation Approach to Inverse Variational Inequalities in Real Linear Spaces
Journal of Optimization Theory and Applications

Lu Li and Elena Celledoni
Krylov projection methods for linear Hamiltonian systems
Numerical Algorithms

Erik Lindgren and Peter Lindqvist
Infinity-harmonic potentials and their streamlines
Discrete and Continuous Dynamical Systems. Series A

Ming Liu, Siyuan Yu, Wenhua Wu and Arvid Næss
Current models for strength and dynamic design of underwater structures
Ocean Engineering

Hung Nguyen Van, Elisabeth Anna Sophia Köbis and Vo Minh Tam
Existence of Solutions and Iterative Algorithms for Weak Vector Quasi-Equilibrium Problems
Journal of Nonlinear and Convex Analysis

Hung Nguyen Van, Elisabeth Anna Sophia Köbis and Vo Minh Tam
Existence Conditions for Set-Valued Vector Quasi-Equilibrium Problems on Hadamard Manifolds with Variable Domination Structure and Applications
Journal of Nonlinear and Convex Analysis

Hung Nguyen Van, Vo Minh Tam, Elisabeth Anna Sophia Köbis and Jen-Chih Yao
Existence of Solutions and Algorithm for Generalized Vector Quasi-complementarity Problems with Application to Traffic Network Problems
Journal of Nonlinear and Convex Analysis

Lars Hov Odsæter, Trond Kvamsdal and Mats Larson
A simple embedded discrete fracture-matrix model for a coupled flow and transport problem in prous media
Computer Methods in Applied Mechanics and Engineering

Laurel Ohm, Benjamin Tapley, Helge Ingolf Andersson, Elena Celledoni and Brynjulf Owren
A slender body model for thin rigid fibers: validation and comparisons
MekIT’19 - 10th National Conference on Computational Mechanics (Trondheim, Norway, 3-4 June 2019)

Douglas Ramalho Queiroz Pacheco and Olaf Steinbach
On the pressure Poisson equation for the Stokes system
Proceedings in Applied Mathematics and Mechanics : PAMM

Muhammad Salman Siddiqui, Adil Rasheed, Mandar Tabib and Trond Kvamsdal
Numerical investigation of modeling frameworks and geometric approximations on NREL 5 MW wind turbine
Renewable Energy

Muhammad Salman Siddiqui, Eivind Fonn, Trond Kvamsdal and Adil Rasheed
Finite-Volume High-Fidelity Simulation Combined with Finite-Element-Based Reduced-Order Modeling of Incompressible Flow Problems
Energies

Muhammad Salman Siddiqui, Trond Kvamsdal and Adil Rasheed
High Fidelity Computational Fluid Dynamics Assessment of Wind Tunnel Turbine Test
Journal of Physics: Conference Series (JPCS)

Muhammad Salman Siddiqui, Adil Rasheed and Trond Kvamsdal
Validation of the numerical simulations of flow around a scaled-down turbine using experimental data from wind tunnel
Wind and Structures

Chana Sinsabvarodom, Wei Chai, Bernt Johan Leira, Knut Vilhelm Høyland and Arvid Næss
Probabilistic assessment of ice rose diagrams for ice drift in the beaufort sea
Proceedings - International Conference on Port and Ocean Engineering under Arctic Conditions

Mandar Tabib, Adil Rasheed and Trond Kvamsdal
High-Resolution Cfd Modelling and Prediction of Terrain-Induced Wind Shear and Turbulence for Aviation Safety.
MekIT’19 - 10th National Conference on Computational Mechanics (Trondheim, Norway, 3-4 June 2019)

Benjamin Tapley, Elena Celledoni, Brynjulf Owren and Helge Ingolf Andersson
A novel approach to rigid spheroid models in viscous flows using operator splitting methods
Numerical Algorithms

Felix del Teso, Jørgen Endal and Espen Robstad Jakobsen
Robust numerical methods for nonlocal (and local) equations of porous medium type. Part I: Theory
SIAM Journal on Numerical Analysis

Jon Vegard Venås and Trond Kvamsdal
Isogeometric boundary element method for acoustic scattering by a submarine
Computer Methods in Applied Mechanics and Engineering

Xiaosen Xu, Oleg Gaidai, Arvid Næss and Prasanta Sahoo
Improving the prediction of extreme FPSO hawser tension, using another highly correlated hawser tension with a longer time record
Applied Ocean Research

Peter H. van der Kamp, Elena Celledoni, Robert, i Mclachlan, David I. McLaren, Brynjulf Owren and Gilles Reinout Willem Quispel
Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation
Journal of Physics A: Mathematical and Theoretical

Ronny Bergmann, Jan Henrik Fitschen, Johannes Persch and Gabriele Steidl
Priors with coupled first and second order differences for manifold-valued image processing
Journal of Mathematical Imaging and Vision

Ronny Bergmann and Daniel Tenbrinck
A graph framework for manifold-valued data
SIAM Journal of Imaging Sciences

Ronny Bergmann and Dennis Merkert
A framework for FFT-based homogenization on anisotropic lattices
Computers and Mathematics with Applications

Ronny Bergmann and Pierre-Yves Gousenbourger
A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve
Frontiers in Applied Mathematics and Statistics

Erik Burman, Peter Hansbo, Mats Larson and André Massing
Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
Mathematical Modelling and Numerical Analysis

Elena Celledoni, Sølve Eidnes and Alexander Schmeding
Shape analysis on homogeneous spaces: a generalised SRVT framework
Abel Symposia

Elena Celledoni, Eirik Hoel Høiseth and Nataliya Ramzina
Passivity-preserving splitting methods for rigid body systems
Multibody system dynamics

Elena Celledoni, Sølve Eidnes, Brynjulf Owren and Torbjørn Ringholm
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows
SIAM Journal on Scientific Computing

Wei Chai, Arvid Næss and Bernt Johan Leira
Long-term extreme response and reliability of a vessel rolling in random beam seas
Journal of Offshore Mechanics and Arctic Engineering

Wei Chai, Bernt Johan Leira and Arvid Næss
Probabilistic methods for estimation of the extreme value statistics of ship ice loads
Cold Regions Science and Technology

Wei Chai, Bernt Johan Leira and Arvid Næss
Short-term extreme ice loads prediction and fatigue damage evaluation for an icebreaker
Ships and Offshore Structures

Linghua Chen and Espen Robstad Jakobsen
L1 semigroup generation for Fokker-Planck operators associated with general Levy driven SDEs
Discrete and Continuous Dynamical Systems. Series A

Jiawei Chen, Elisabeth Anna Sophia Köbis, Markus Arthur Köbis and Jen-Chih Yao
Image Space Analysis for Constrained Inverse Vector Variational Inequalities via Multiobjective Optimization
Journal of Optimization Theory and Applications

Kurusch Ebrahimi-Fard and Frederic Patras
Monotone, free, and boolean cumulants: a shuffle algebra approach
Advances in Mathematics

Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Singer and Jianqang Zhao
Renormalisation group for multiple zeta values
Communications in Number Theory and Physics

Mats Ehrnstrom and Long Pei
Classical well-posedness in dispersive equations with nonlinearities of mild regularity, and a composition theorem in Besov spaces
Journal of evolution equations (Printed ed.)

Mats Ehrnstrom, Mathew A Johnson and Kyle M Claassen
Existence of a Highest Wave in a Fully Dispersive Two-Way Shallow Water Model
Archive for Rational Mechanics and Analysis

Mats Ehrnstrom and Mark D Groves
Small-amplitude fully localised solitary waves for the full-dispersion Kadomtsev-Petviashvili equation
Nonlinearity

Donghui Fang, Elisabeth Anna Sophia Köbis and Xiaopeng Zhao
Zero Duality Gap Property for Convex Composite Optimization Problems
Journal of Nonlinear and Convex Analysis

Oleg Gaidai, Michael Dimentberg and Arvid Næss
Rotating shaft's non-linear response statistics under biaxial random excitation, by path integration
International Journal of Mechanical Sciences

Oleg Gaidai, Gaute Storhaug and Arvid Næss
Statistics of extreme hydroelastic response for large ships
Marine Structures

Sondre Tesdal Galtung
A Convergent Crank–Nicolson Galerkin Scheme for the Benjamin–Ono Equation
Discrete and Continuous Dynamical Systems. Series A

Sondre Tesdal Galtung
Convergence Rates of a Fully Discrete Galerkin Scheme for the Benjamin–Ono Equation
Theory, Numerics and Applications of Hyperbolic Problems I

Markus Grasmair, Housen Li and Axel Munk
Variational multiscale nonparametric regression: Smooth functions
Annales de l'I.H.P. Probabilites et statistiques

Markus Grasmair, Timo Klock and Valeriya Naumova
Adaptive multi-penalty regularization based on a generalized Lasso path
Applied and Computational Harmonic Analysis

Katrin Grunert and Anders Samuelsen Nordli
Existence and Lipschitz stability for α-dissipative solutions of the two-component Hunter–Saxton system
Journal of Hyperbolic Differential Equations

Katrin Grunert, Helge Holden and Markus Grasmair
On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System
Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg

Harald Hanche-Olsen, Helge Holden and Eugenia Malinnikova
An improvement of the Kolmogorov?Riesz compactness theorem
Expositiones mathematicae

Kjetil K. Haugen and Brynjulf Owren
Predicting football tables by a maximally parsimonious model
Mathematics for applications

Niklas Hebestreit and Elisabeth Anna Sophia Köbis
Representation of Set Relations in Real Linear Spaces
Journal of Nonlinear and Convex Analysis

Helge Holden and Nils Henrik Risebro
Continuum limit of Follow-the-Leader models – a short proof
Discrete and Continuous Dynamical Systems. Series A

Helge Holden and Nils Henrik Risebro
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow
Networks and Heterogeneous Media

Fredrik Arbo Høeg and Peter Lindqvist
Regularity of solutions of the parabolic normalized p-Laplace equation
Advances in Nonlinear Analysis

Juha Kinnunen, Pekka Lehtela, Peter Lindqvist and Mikko Parviainen
Supercaloric functions for the porous medium equation
Journal of evolution equations (Printed ed.)

Elisabeth Anna Sophia Köbis and Markus Arthur Köbis
Overshoot Optimized Newmark-Type Methods
Investigacion Operacional

Elisabeth Anna Sophia Köbis and Markus Arthur Köbis
Overshoot Optimized Newmark-Type Methods
Investigacion Operacional

Elisabeth Anna Sophia Köbis, Thanh Tam Le and Christiane Tammer
A Generalized Scalarization Method in Set Optimization with Respect to Variable Domination Structures
Vietnam Journal of Mathematics

Peter Lindqvist and Diego Ricciotti
Regularity for an anisotropic equation in the plane
Nonlinear Analysis

Peter Lindqvist and Mikko Parviainen
A remark on infinite initial values for quasilinear parabolic equations
Nonlinear Analysis

Ming Liu, Wenhua Wu, Da Tang, Hongyan Ma and Arvid Næss
Current profile analysis and extreme value prediction in the LH11-1 oil field of the South China Sea based on prototype monitoring
Ocean Engineering

André Massing, Benedikt Schott and Wolfgang Wall
A stabilized Nitsche cut finite element method for the Oseen problem
Computer Methods in Applied Mechanics and Engineering

Arvid Næss and Harald Svandal Bo
Reliability of Technical Systems Estimated by Enhanced Monte Carlo Simulation
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems. Part A: Civil Engineering

Douglas Ramalho Queiroz Pacheco, Flávio Donizeti Marques and Antonio J.M. Ferreira
Finite element analysis of fluttering plates reinforced by flexible beams: An energy-based approach
Journal of Sound and Vibration

Douglas Ramalho Queiroz Pacheco, Flávio Donizeti Marques and Antonio J.M. Ferreira
Panel flutter suppression with nonlinear energy sinks: Numerical modeling and analysis
International Journal of Non-Linear Mechanics

Douglas Ramalho Queiroz Pacheco, Antonio J.M. Ferreira and Flávio Donizeti Marques
On the effects of structural coupling on the supersonic flutter and limit cycle oscillations of transversely reinforced panels
Journal of Fluids and Structures

Xavier Raynaud and Katrin Grunert
Symmetries and multipeakon solutions for the modified two-component Camassa-Holm system
Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume

Torbjørn Ringholm, Brynjulf Owren and Elena Celledoni
Discrete gradient methods in image processing and partial differential equations on moving meshes
Doctoral Dissertation

Ilija Samardžija, Knut Vilhelm Høyland, Bernt Johan Leira and Arvid Næss
Probabilistic Assessment of Ice Environment and Ridge Loads for the Norströmsgrund Lighthouse
Proceedings of the 24th IAHR International Symposium on Ice Vladivostok, Russia June 4-9, 2018

Pradeep Kumar Sharma, Elisabeth Anna Sophia Köbis and Qamrul Hasan Ansari
Characterizations of Set Relations with Respect to Variable Domination Structures via Oriented Distance Function
Optimization

Chana Sinsabvarodom, Wei Chai, Bernt Johan Leira, Knut Vilhelm Høyland and Arvid Næss
Probabilistic analysis of ice and sloping structure interaction based on ISO standard by using Monte-Carlo simulation
Marine Design XIII, Volume 2: Proceedings of the 13th International Marine Design Conference (IMDC 2018), June 10-14, 2018, Helsinki, Finland

Felix del Teso, Jørgen Endal and Espen Robstad Jakobsen
On the well-posedness of solutions with finite energy for nonlocal equations of porous medium type
Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume

Felix del Teso, Jørgen Endal and Espen Robstad Jakobsen
Robust numerical methods for nonlocal (and local) equations of porous medium type. Part II: Schemes and experiments
SIAM Journal on Numerical Analysis

Jon Vegard Venås, Trond Kvamsdal and Trond Jenserud
Isogeometric Analysis of Acoustic Scattering using Infinite Elements
Computer Methods in Applied Mechanics and Engineering

Markus Winter, Benedikt Schott, André Massing and Wolfgang Wall
A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions
Computer Methods in Applied Mechanics and Engineering

Yuwang Xu, Ole Øiseth, Torgeir Moan and Arvid Næss
Prediction of long-term extreme load effects due to wave and wind actions for cable-supported bridges with floating pylons
Engineering structures

Frits de Prenter, Christoph Lehrenfeld and André Massing
A note on the stability parameter in Nitsche’s method for unfitted boundary value problems
Computers and Mathematics with Applications

Sverre Anmarkrud and Anne Kværnø
Order conditions for stochastic Runge–Kutta methods preserving quadratic invariants of Stratonovich SDEs
Journal of Computational and Applied Mathematics

Sverre Anmarkrud, Kristian Debrabant and Anne Kværnø
General order conditions for stochastic partitioned Runge–Kutta methods
BIT Numerical Mathematics

Martin Bauer, Markus Eslitzbichler and Markus Grasmair
Landmark-guided elastic shape analysis of human character motions
Inverse Problems and Imaging

Yared Worku Bekele, Hiroyuki Kyokawa, Arne Morten Kvarving, Trond Kvamsdal and Steinar Nordal
Isogeometric analysis of THM coupled processes in ground freezing
Computers and geotechnics

Ronny Bergmann, Jan Henrik Fitschen, Johannes Persch and Gabriele Steidl
Iterative multiplicative filters for data labeling
International Journal of Computer Vision

Jussi Berndt, Fritz Gesztesy, Helge Holden and Roger Nichols
On the index of meromorphic operator-valued functions and some applications
Functional Analysis and Operator Theory for Quantum Physics

Geir Bogfjellmo, Charles Henry Alexander Curry and Dominique Manchon
Hamiltonian B-series and a Lie algebra of non-rooted trees
Numerische Mathematik

Gabriele Bruell, Mats Ehrnstrom, Anna Geyer and Long Pei
Symmetric solutions of evolutionary partial differential equations
Nonlinearity

Gabriele Brüll, Mats Ehrnstrom and Long Pei
Symmetry and decay of traveling wave solutions to the Whitham equation
Journal of Differential Equations

Erik Burman, Peter Hansbo, Mats Larson and André Massing
A cut discontinuous Galerkin method for the Laplace–Beltrami operator
IMA Journal of Numerical Analysis

Daniel Cantero, Anders Rønnquist and Arvid Næss
Tension during parametric excitation in submerged vertical taut tethers
Applied Ocean Research

Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler and Alexander Schmeding
Shape analysis on lie groups and homogeneous spaces
Lecture Notes in Computer Science (LNCS)

Wei Chai, Leo Dostal, Arvid Næss and Bernt Johan Leira
Comparative Study of the Path Integration Method and the Stochastic Averaging Method for Nonlinear Roll Motion in Random Beam Seas
Procedia Engineering

Wei Chai, Leo Dostal, Arvid Næss and Bernt Johan Leira
A comparative study of the stochastic averaging method and the path integration method for nonlinear ship roll motion in random beam seas
Journal of Marine Science and Technology

Emmanuel Chasseigne and Espen Robstad Jakobsen
On nonlocal quasilinear equations and their local limits
Journal of Differential Equations

Linghua Chen, Espen Robstad Jakobsen and Arvid Næss
On numerical density approximations of solutions of SDEs with unbounded coefficients
Advances in Computational Mathematics

Kurusch Ebrahimi-Fard, Igor Mencattini and Hans Munthe-Kaas
Post-Lie algebras and factorization theorems
Journal of Geometry and Physics

Kurusch Ebrahimi-Fard, Frederic Fauvet and Dominique Manchon
A comodule-bialgebra structure for word-series substitution and mould composition
Journal of Algebra

Kurusch Ebrahimi-Fard and Steven Gray
Center problem, Abel equation and the Faa di Bruno Hopf algebra for output feedback
International Mathematics Research Notices (IMRN)

Kurusch Ebrahimi-Fard, Frederic Patras and Roland Speicher
ϵ-Noncrossing Partitions and Cumulants in Free Probability
International Mathematics Research Notices (IMRN)

Jonathan Eckhardt, Fritz Gesztesy, Helge Holden, Aleksey Kostenko and Gerald Teschl
Real-Valued Algebro-Geometric Solutions of the Two-Component Camassa–Holm Hierarchy
Annales de l'Institut Fourier

Sølve Eidnes, Brynjulf Owren and Torbjørn Ringholm
Adaptive energy preserving methods for partial differential equations
Advances in Computational Mathematics

Farzad Faridafshin, Bogdan Grechuk and Arvid Næss
Calculating exceedance probabilities using a distributionally robust method
Structural Safety

Farzad Faridafshin and Arvid Næss
Multivariate log-concave probability density class for structural reliability applications
Structural Safety

Eivind Fonn, Adil Rasheed, Mandar Tabib and Trond Kvamsdal
A Step Towards a Reduced Order Modelling of Flow Characterized by Wakes Using Proper Orthogonal Decomposition
ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering - Volume 1: Offshore Technology

Oleg Gaidai, Arvid Næss and Michael Dimentberg
Response statistics of rotating shaft with non-linear elastic restoring forces by path integration
Journal of Sound and Vibration

Steven Gray and Kurusch Ebrahimi-Fard
SISO Output Affine Feedback Transformation Group and Its Faa di Bruno Hopf Algebra
SIAM Journal of Control and Optimization

W Steven Gray, Luis A. Duffaut Espinosa and Kurusch Ebrahimi-Fard
Discrete-Time Approximations of Fliess Operators
Numerische Mathematik

Peter Hansbo, Mats Larson and André Massing
A stabilized cut finite element method for the Darcy problem on surfaces
Computer Methods in Applied Mechanics and Engineering

Elisabeth Anna Sophia Köbis
Set Optimization by Means of Variable Order Relations
Optimization

Elisabeth Anna Sophia Köbis
Variable Ordering Structures in Set Optimization
Journal of Nonlinear and Convex Analysis

Erik Kristian Lindgren and Peter Lindqvist
Regularity of the p-Poissson Equation in the Plane
Journal d'Analyse Mathematique

Erik Lindgren and Peter Lindqvist
Perron's Method and Wiener's Theorem for a Nonlocal Equation
Potential Analysis

Peter Lindqvist
The time derivative in a singular parabolic equation
Differential and Integral Equations

André Massing
A cut discontinuous Galerkin method for coupled bulk-surface problems
Geometrically Unfitted Finite Element Methods and Applications

Kjell Magne Mathisen, Yuri Bazilevs, Bjørn Haugen, Tore Andreas Helgedagsrud, Trond Kvamsdal, Knut Morten Okstad and Siv Bente Raknes
A comparative study of beam element formulations for nonlinear analysis: corotatinal vs. geometrically exact formulations
MekIT’17 - Ninth national conference on Computational Mechanics

Lars Hov Odsæter, Mary F. Wheeler, Trond Kvamsdal and Mats Larson
Postprocessing of non-conservative flux for compatibility with transport in heterogeneous media
Computer Methods in Applied Mechanics and Engineering

Douglas Ramalho Queiroz Pacheco, F.D. Marques, S. Natarajan and A.J.M. Ferreira
Nonlinear finite element post-flutter analysis of multibay composite panels in supersonic regime
Composite structures

Douglas Ramalho Queiroz Pacheco, F.D. Marques and A.J.M. Ferreira
Nonlinear finite element aeroelastic analysis of multibay panels in supersonic flow regime
Thin-walled structures

Anders Rønnquist and Arvid Næss
Global Buckling Reliability Analysis of Slender Network Arch Bridges: An Application of Monte Carlo-Based Estimation by Optimized Fitting
Springer Series in Reliability Engineering

Muhammad Salman Siddiqui, Adil Rasheed, Mandar Tabib and Trond Kvamsdal
Numerical Modeling Framework for Wind Turbine Analysis & Atmospheric Boundary Layer Interaction
35th Wind Energy Symposium, Grapevine, Texas, 9 - 13 January 2017

Muhammad Salman Siddiqui, Adil Rasheed, Trond Kvamsdal and Mandar Tabib
Influence of Tip Speed Ratio on Wake Flow Characteristics Utilizing Fully Resolved CFD Methodology
Journal of Physics: Conference Series (JPCS)

Muhammad Salman Siddiqui, Adil Rasheed, Mandar Tabib, Eivind Fonn and Trond Kvamsdal
On interactions between wind turbines and the marine boundary layer
ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering - Volume 10: Ocean Renewable Energy

Mandar Tabib, Muhammad Salman Siddiqui, Eivind Fonn, Adil Rasheed and Trond Kvamsdal
Near wake region of an industrial scale wind turbine: comparing LES-ALM with LES-SMI simulations using data mining (POD)
Journal of Physics: Conference Series (JPCS)

Kristoffer Varholm and Ailo Aasen
Traveling gravity water waves with critical layers
Journal of Mathematical Fluid Mechanics

Yuwang Xu, Ole Øiseth, Arvid Næss and Torgeir Moan
Prediction of long-term extreme load effects due to wind for cable-supported bridges using time-domain simulations
Engineering structures

Félix del Teso, Jørgen Endal and Espen Robstad Jakobsen
Uniqueness and properties of distributional solutions of nonlocal equations of porous medium type
Advances in Mathematics

Felix del Teso Mendez, Jørgen Endal and Espen Robstad Jakobsen
Sur des solutions distributionnelles de problemes locaux et non locaux de type milieux poreux
Comptes rendus. Mathematique

Tatiana Andreeva, Panagiotis Alevras, Arvid Næss and Daniil Yurchenko
Dynamics of a parametric rotating pendulum under a realistic wave profile
International Journal of Dynamics and Control

Miroslav Bačák, Ronny Bergmann, Gabriele Steidl and Andreas Weinmann
A second order non-smooth variational model for restoring manifold-valued images
SIAM Journal on Scientific Computing

Jussi Behrndt, Fritz Gesztesy, Helge Holden and Roger Nichols
Dirichlet-to-Neumann maps, abstract Weyl–Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions
Journal of Differential Equations

Ronny Bergmann, Raymond H. Chan, Ralf Hielscher, Johannes Persch and Gabriele Steidl
Restoration of manifold-valued images by half-quadratic minimization
Inverse Problems and Imaging

Ronny Bergmann and Andreas Weinmann
A second order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data
Journal of Mathematical Imaging and Vision

Ronny Bergmann, Johannes Persch and Gabriele Steidl
A parallel Douglas–Rachford algorithm for minimizing ROF-like functionals on images with values in symmetric Hadamard manifolds
SIAM Journal of Imaging Sciences

Erik Burman, Peter Hansbo, Mats Larson, André Massing and Sara Zahedi
Full gradient stabilized cut finite element methods for surface partial differential equations
Computer Methods in Applied Mechanics and Engineering

Daniel Cantero, Anders Rønnquist and Arvid Næss
Recent Studies of Parametrically Excited Mooring Cables for Submerged Floating Tunnels
Procedia Engineering

Elena Celledoni, Bawfeh Kingsley Kometa and Olivier Verdier
High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations
Journal of Scientific Computing

Elena Celledoni, Markus Eslitzbichler and Alexander Schmeding
Shape analysis on Lie groups with application in computer animation
Journal of Geometric Mechanics (JGM)

Elena Celledoni and Eirik Hoel Høiseth
The averaged Lagrangian method
Journal of Computational and Applied Mathematics

Wei Chai, Arvid Næss and Bernt Johan Leira
Stochastic nonlinear ship rolling in random beam seas by the path integration method
Probabilistic Engineering Mechanics

Wei Chai, Arvid Næss and Bernt Johan Leira
Stochastic roll response for a vessel with nonlinear damping models and steady heeling angles in random beam seas
Ocean Engineering

Wei Chai, Arvid Næss, Bernt Johan Leira and Gabriele Bulian
Efficient Monte Carlo simulation and Grim effective wave model for predicting the extreme response of a vessel rolling in random head seas
Ocean Engineering

Wei Chai, Arvid Næss and Bernt Johan Leira
Long-Term Extreme Response of a Vessel Rolling in Random Seas
ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering Volume 3: Structures, Safety and Reliability

Wei Chai, Arvid Næss and Bernt Johan Leira
Four-dimensional path integration method for estimating the stochastic roll response
Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2016)

Linghua Chen, Espen Robstad Jakobsen and Arvid Næss
The Numerical Path Integration Method for Stochastic Differential Equations
Doctoral Dissertation

Rinaldo Colombo and Helge Holden
On the Braess Paradox with Nonlinear Dynamics and Control Theory
Journal of Optimization Theory and Applications

Rinaldo M Colombo and Helge Holden
Isentropic fluid dynamics in a curved pipe
Zeitschrift für Angewandte Mathematik und Physik

Kristian Debrabant and Anne Kværnø
Cheap arbitrary high order methods for single integrand SDEs
BIT Numerical Mathematics

Luis Duffaut-Espinosa, Steven Gray and Kurusch Ebrahimi-Fard
Dendriform–Tree Setting for Fliess Operators
IMA Journal of Mathematical Control and Information

Rajib Dutta, Helge Holden, Ujjwal Koley and Nils Henrik Risebro
Convergence of finite difference schemes for the Benjamin–Ono equation
Numerische Mathematik

Oleg Gaidai, Gaute Storhaug and Arvid Næss
Extreme large cargo ship panel stresses by bivariate ACER method
Ocean Engineering

Oleg Gaidai, Gaute Storhaug and Arvid Næss
Extreme value statistics of large container ship roll
Journal of Ship Research

Fritz Gesztesy, Helge Holden and Roger Nichols
Erratum to: On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions
Integral equations and operator theory

Markus Grasmair and Valeriya Naumova
Conditions on optimal support recovery in unmixing problems by means of multi-penalty regularization
Inverse Problems

Katrin Grunert and Helge Holden
The general peakon-antipeakon solution for the Camassa-Holm equation
Journal of Hyperbolic Differential Equations

Katrin Grunert
Solutions of the Camassa-Holm equation with accumulating breaking times
Dynamics of Partial Differential Equations

Katrin Grunert and Khai Tien Nguyen
On the Burgers–Poisson equation
Journal of Differential Equations

Harald Hanche-Olsen and Helge Holden
Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394]
Expositiones mathematicae

Juha Kinnunen and Peter Lindqvist
Unbounded supersolutions of some quasilinear parabolic equations: A dichotomy
Nonlinear Analysis

Juha Kinnunen, Peter Lindqvist and Teemu Johannes Lukkari
Perron's method for the porous medium equation
Journal of the European Mathematical Society (Print)

Mukesh Kumar, Trond Kvamsdal and Kjetil Andre Johannessen
Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis
Computer Methods in Applied Mechanics and Engineering

Tuomo Kuusi, Peter Lindqvist and Mikko Parviainen
Shadows of Infinities
Annali di Matematica Pura ed Applicata

Bernt Johan Leira, Arvid Næss and Ole Erik Brandrud Næss
Reliability analysis of corroding pipelines by enhanced Monte Carlo simulation
International Journal of Pressure Vessels and Piping

Peter Lindqvist and Juan Manfredi
On the mean value property for the p-Laplace equation in the plane
Proceedings of the American Mathematical Society

Håkon Marthinsen and Brynjulf Owren
Geometric integration of non-autonomous linear Hamiltonian problems
Advances in Computational Mathematics

Olav Møyner, Helge Holden, Knut-Andreas Lie and Jostein Roald Natvig
Next Generation Multiscale Methods for Reservoir Simulation
Doctoral Dissertation

Knut Nordanger, Adil Rasheed, Knut Morten Okstad, Arne Morten Kvarving, Runar Holdahl and Trond Kvamsdal
Numerical benchmarking of fluid–structure interaction: An isogeometric finite element approach
Ocean Engineering

Antonie Oosterkamp, Tor Ytrehus and Sondre Tesdal Galtung
Effect of the choice of boundary conditions on modelling ambient to soil heat transfer near a buried pipeline
Applied Thermal Engineering

Muhammad Salman Siddiqui, Adil Rasheed, Mandar Tabib and Trond Kvamsdal
Numerical analysis of NREL 5MW wind turbine: a study towards a better understanding of wake characteristic and torque generation mechanism
Journal of Physics: Conference Series (JPCS)

Annette Stahl, Trond Kvamsdal and Christian Schellewald
Post-processing and visualization techniques for isogeometric analysis results
Computer Methods in Applied Mechanics and Engineering

Kristoffer Varholm
Solitary gravity-capillary water waves with point vortices
Discrete and Continuous Dynamical Systems. Series A

Timo Matteo van Opstal, Jinhui Yan, Christopher Coley, John Andrew Evans, Trond Kvamsdal and Yuri Bazilevs
Isogeometric divergence-conforming variational multiscale formulation of incompressible turbulent flows
Computer Methods in Applied Mechanics and Engineering

Manuel Amaya and Brynjulf Owren
High-order optimization methods for large-scale 3D CSEM data inversion
Doctoral Dissertation

Martin Bauer, Markus Grasmair and Clemens Kirisits
Optical Flow on Moving Manifolds
SIAM Journal of Imaging Sciences

Michael Beer, Ioannis A Kougioumtzoglou and Arvid Næss
Prologue
Probabilistic Engineering Mechanics

Yared Worku Bekele, Trond Kvamsdal, Arne Morten Kvarving and Steinar Nordal
Adaptive isogeometric finite element analysis of steady-state groundwater flow
International journal for numerical and analytical methods in geomechanics (Print)

Ronny Bergmann and Jürgen Prestin
Multivariate periodic wavelets of de la Vallée Poussin type
Journal of Fourier Analysis and Applications

Zerihun Kinfe Birhanu, Nils-Otto Kitterød, Harald E Krogstad and Anne Kværnø
Temperature boundary conditions for ATES systems
AIP Conference Proceedings

Zerihun Kinfe Birhanu, Nils-Otto Kitterød, Harald E Krogstad and Anne Kværnø
Numerical modeling of aquifer thermal energy efficiency under regional groundwater flow: a case study at Oslo Airport
Hydrology Research

Erik Burman, Susanne Claus, Peter Hansbo, Mats Larson and André Massing
CutFEM: Discretizing geometry and partial differential equations
International Journal for Numerical Methods in Engineering

Erik Burman, Susanne Claus and André Massing
A Stabilized Cut Finite Element Method for the Three Field Stokes Problem
SIAM Journal on Scientific Computing

Elena Celledoni, Roman Kozlov and Takayasu Matsuo
Preface of the “Symposium on structure-preserving integrators for differential equations”
AIP Conference Proceedings

Elena Celledoni, I. Robert McLachlan, David McLaren, Brynjulf Owren and Reinout Quispel
Discretization of polynomial vector fields by polarization
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences

Wei Chai, Arvid Næss and Bernt Johan Leira
Stochastic Dynamic Analysis and Reliability of a Vessel Rolling in Random Beam Seas
Journal of Ship Research

Wei Chai, Arvid Næss and Bernt Johan Leira
Filter models for prediction of stochastic ship roll response
Probabilistic Engineering Mechanics

Wei Chai, Bernt Johan Leira and Arvid Næss
Stochastic dynamic analysis and reliability evaluation for a heeling vessel rolling in random beam seas
Safety and Reliability of Complex Engineered Systems

Kai Erik Dahlen, Per Bjarte Solibakke, Sjur Westgaard and Arvid Næss
On the Estimation of Extreme Values for Risk Assessment and Management: The ACER Method
International journal of business

Rajib Dutta, Helge Holden, Ujjwal Koley and Nils Henrik Risebro
Operator splitting for the Benjamin-Ono equation
Journal of Differential Equations

Kurusch Ebrahimi-Fard and Frederic Patras
Cumulants, free cumulants and half-shuffles
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences

Mats Ehrnstrom, Joachim Escher and Long Pei
A note on the local well-posedness for the whitham equation
Springer Proceedings in Mathematics

Oleg Gaidai, Arvid Næss and Carl Trygve Stansberg
Airgap statistics for a tension leg platform
Journal of Offshore Mechanics and Arctic Engineering

Fritz Gesztesy, Helge Holden and Roger Nichols
On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions
Integral equations and operator theory

Katrin Grunert
Blow-up for the two-component Camassa-Holm system
Discrete and Continuous Dynamical Systems. Series A

Katrin Grunert, Helge Holden and Xavier Raynaud
A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system
Forum of Mathematics, Sigma

Katrin Grunert, Helge Holden and Xavier Raynaud
A continuous interpolation between conservative and dissipative solutions
Forum of Mathematics, Sigma

Helge Holden, Ujjwal Koley and Nils Henrik Risebro
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation
IMA Journal of Numerical Analysis

Eirik Hoel Høiseth, Elena Celledoni, Einar Gustafsson and Nataliya Ramzina
Splitting methods for controlled vessel offshore operations
AIP Conference Proceedings

Kjetil Andre Johannessen, Mukesh Kumar and Trond Kvamsdal
Divergence-conforming discretization for Stokes problem on locally refined meshes using LR B-splines
Computer Methods in Applied Mechanics and Engineering

Kjetil Andre Johannessen, Filippo Remonato and Trond Kvamsdal
On the similarities and differences between Classical Hierarchical, Truncated Hierarchical and LR B-splines
Computer Methods in Applied Mechanics and Engineering

Mukesh Kumar, Trond Kvamsdal and Kjetil Andre Johannessen
Simple a posteriori error estimators in adaptive isogeometric analysis
Computers and Mathematics with Applications

Dominique Küpper, Anne Kværnø and Andreas Rößler
Stability analysis and classification of Runge-Kutta methods for index 1 stochastic differential-algebraic equations with scalar noise
Applied Numerical Mathematics

André Massing, Mats Larson, Anders Bernard Logg and Marie Elisabeth Rognes
A Nitsche-based cut finite element method for a fluid-structure interaction problem
Communications in Applied Mathematics and Computational Science

Kjell Magne Mathisen, Knut Morten Okstad, Trond Kvamsdal and Siv Bente Raknes
Simulation of Contact Between Subsea Pipeline and Trawl Gear using Mortar-based Isogeometric Analysis
MARINE 2015 - Computational Methods in Marine Engineering VI, Rome, Italy, June 15–17, 2015

Knut Nordanger, Runar Holdahl, Arne Morten Kvarving, Adil Rasheed and Trond Kvamsdal
Implementation and comparison of three isogeometric Navier–Stokes solvers applied to simulation of flow past a fixed 2D NACA0012 airfoil at high Reynolds number
Computer Methods in Applied Mechanics and Engineering

Knut Nordanger, Runar Holdahl, Trond Kvamsdal, Arne Morten Kvarving and Adil Rasheed
Simulation of airflow past a 2D NACA0015 airfoil using an isogeometric incompressible Navier-Stokes solver with the Spalart-Allmaras turbulence model
Computer Methods in Applied Mechanics and Engineering

Arvid Næss and Oleh Ihorovych Karpa
Statistics of bivariate extreme wind speeds by the ACER method
Journal of Wind Engineering and Industrial Aerodynamics

Mandar Tabib, Adil Rasheed and Trond Kvamsdal
LES and RANS simulation of onshore Bessaker wind farm: analyzing terrain and wake effects on wind farm performance
Journal of Physics: Conference Series (JPCS)

P Alevras, D Yurchenko and Arvid Næss
Stochastic synchronization of rotating parametric pendulums
Meccanica (Milano. Print)

N Alibaud, Simone Cifani and Espen Robstad Jakobsen
Optimal Continuous Dependence Estimates for Fractional Degenerate Parabolic Equations
Archive for Rational Mechanics and Analysis

Guy Barles, Christine Georgelin and Espen Robstad Jakobsen
On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations
Journal of Differential Equations

Guy Barles, Emmanuel Chasseigne, Christine Georgelin and Espen Robstad Jakobsen
On Neumann type problems for nonlocal equations set in a half space
Transactions of the American Mathematical Society

Elena Beretta, Markus Grasmair, Monika Muszkieta and Otmar Scherzer
A variational algorithm for the detection of line segments
Inverse Problems and Imaging

Ronny Bergmann, Friederike Laus, Gabriele Steidl and Andreas Weinmann
Second order differences of cyclic data and applications in variational denoising
SIAM Journal of Imaging Sciences

Elena Celledoni and Brynjulf Owren
Preserving first integrals with symmetric Lie group methods
Discrete and Continuous Dynamical Systems. Series A

Elena Celledoni, Brynjulf Owren and Yajuan Sun
The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method
Mathematics of Computation

Elena Celledoni, Håkon Marthinsen and Brynjulf Owren
An introduction to Lie group integrators - basics, new developments and applications
Journal of Computational Physics

Elena Celledoni, Jesus Maria Sanz-Serna and Antonella Zanna
Guest editors' preface
Discrete and Continuous Dynamical Systems. Series A

Elena Celledoni, Robert I. McLachlan, David McLaren, Brynjulf Owren and G. R. W. Quispel
Integrability properties of Kahanʼs method
Journal of Physics A: Mathematical and Theoretical

Simone Cifani and Espen Robstad Jakobsen
On numerical methods and error estimates for degenerate fractional convection-diffusion equations
Numerische Mathematik

Kristian Debrabant and Espen Robstad Jakobsen
Semi-Lagrangian schemes for linear and fully non-linear Hamilton-Jacobi-Bellman equations
Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Fourteenth International Conference on Hyperbolic Problems held in Padova, June 25-29, 2012

Jerome Droniou and Espen Robstad Jakobsen
A Uniformly Converging Scheme for Fractal Conservation Laws
Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects

Mats Harald Andreas Ehrnström and E. Wahlén
Trimodal Steady Water Waves
Archive for Rational Mechanics and Analysis

Jørgen Endal and Espen Robstad Jakobsen
L1 contraction for bounded (nonintegrable) solutions of degenerate parabolic equations
SIAM Journal on Mathematical Analysis

Bruno Gaspar, Arvid Næss, Bernt Johan Leira and Carlos Guedes Soares
System Reliability Analysis by Monte Carlo Based Method and Finite Element Structural Models
Journal of Offshore Mechanics and Arctic Engineering

Katrin Grunert, Helge Holden and Xavier Raynaud
Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics
Nonlinear Analysis: Real world applications

Katrin Grunert, Helge Holden and Xavier Raynaud
Lipschitz metric for the two-component Camassa-Holm system
Hyperbolic Problems: Theory, Numerics, Applications

Helge Holden, Fabio Simone Priuli and Nils Henrik Risebro
On an inverse problem for scalar conservation laws
Inverse Problems

Helge Holden
Ville Abel fått Abelprisen? Om Abel og prisen hans
Årbok 2013

Kjetil Andre Johannessen, Trond Kvamsdal and Tor Dokken
Isogeometric analysis using LR B-splines
Computer Methods in Applied Mechanics and Engineering

Trond Kvamsdal and Kjetil Andre Johannessen
Isogeometric Analysis Using Locally Refined B-splines
Doctoral Dissertation

Arne Morten Kvarving, Runar Holdahl, Trond Kvamsdal and Adil Rasheed
Parallel computations of air flow around wind turbine blades
Parallel Computational Fluids Dynamics- PARALLEL CFD 2014, A book of extended abstracts of the 26th International Conference on Computational Fluid Dynamics held in Trondheim, Norway, 20-22 May, 2014

Anne Kværnø and Asif Mushtaq
Modified symplectic algorithms
Doctoral Dissertation

Bernt Johan Leira, Arvid Næss and Ole Erik Brandrud Næss
Reliability of Corroded Pipelines by Enhanced Monte Carlo Simulation
ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering Volume 4B: Structures, Safety and Reliability San Francisco, California, USA, June 8–13, 2014

Peter Lindqvist and Erik Kristian Lindgren
Fractional eigenvalues
Calculus of Variations and Partial Differential Equations

Peter Lindqvist and Li Qifan
Two results in Harmonic Analysis and PDEs
Doctoral Dissertation

Peter Lindqvist and Qifan Li
Two results in Harmonic Analysis and PDEs
Doctoral Dissertation

Håkon Marthinsen and Brynjulf Owren
On symplectic integration in Lie groups and manifolds
Doctoral Dissertation

Andre Massing, Anders Bernhard Logg, Mats Larson and Marie Elisabeth Rognes
A Stabilized Nitsche Fictitious Domain Method for the Stokes Problem
Journal of Scientific Computing

Andre Massing, Mats Larson, Anders Bernhard Logg and Marie Elisabeth Rognes
A Stabilized Nitsche Overlapping Mesh Method for the Stokes Problem
Numerische Mathematik

Asif Mushtaq, Anne Kværnø and Kåre Olaussen
Higher-order geometric integrators for a class of Hamiltonian systems
International Journal of Geometric Methods in Modern Physics (IJGMMP)

Asif Mushtaq, Anne Kværnø and Kåre Olaussen
Higher Order Integrators for Hamilton's Equations: Modified symplectic algorithms
Doctoral Dissertation

Knut Nordanger, Trond Kvamsdal, Runar Holdahl and Arne Morten Kvarving
Two-dimensional flow past NACA0015 airfoil
Parallel Computational Fluids Dynamics- PARALLEL CFD 2014, A book of extended abstracts of the 26th International Conference on Computational Fluid Dynamics held in Trondheim, Norway, 20-22 May, 2014

Syvert Paul Nørsett and Andreas Asheim
Regarding the absolute stability of Størmer-Cowell methods
Discrete and Continuous Dynamical Systems. Series A

Adil Rasheed and Trond Kvamsdal
Multiscale Wind Modeling
Parallel Computational Fluids Dynamics- PARALLEL CFD 2014, A book of extended abstracts of the 26th International Conference on Computational Fluid Dynamics held in Trondheim, Norway, 20-22 May, 2014

Nilanjan Saha, Zhen Gao, Torgeir Moan and Arvid Næss
Short-term extreme response analysis of a jacket supporting an offshore wind turbine
Wind Energy

P. Alevras, D. Yurchenko and Arvid Næss
Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation
Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures. Proceedings of the 11th International Conference on Structural Safety and Reliability, ICISSAR 2013, New York, 16-20 June, 2013

Martin Bauer, Thomas Fidler and Markus Grasmair
Local Uniqueness of the Circular Integral Invariant
Inverse Problems and Imaging

Ronny Bergmann
The fast Fourier transform and fast wavelet transform for patterns on the torus
Applied and Computational Harmonic Analysis

Elena Celledoni, Robert I. McLachlan, Brynjulf Owren and G.R.W. Quispel
Geometric properties of Kahan's method
Journal of Physics A: Mathematical and Theoretical

Ali Cetin, Arvid Næss and Gunnar Härkegård
A physically based extreme value characterization of material fatigue
International Journal of Fatigue

Ali Cetin, Gunnar Härkegård and Arvid Næss
The fatigue limit: An analytical solution to a Monte Carlo problem
International Journal of Fatigue

M. Condon, A Iserles and Syvert Paul Nørsett
Differential equations with general highly oscillatory forcing terms
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences

Kristian Debrabant and Espen Robstad Jakobsen
Semi-Lagrangian schemes for parabolic equations
Recent Developments in Computational Finance. Foundations, Algorithms and Applications

Kristian Debrabant and Espen Robstad Jakobsen
Semi-Lagrangian schemes for linear and fully non-linear diffusion equations
Mathematics of Computation

Guozhi Dong, Markus Grasmair, Sung Ha Kang and Otmar Scherzer
Scale and Edge Detection with Topological Derivatives
Lecture Notes in Computer Science (LNCS)

Mats Harald Andreas Ehrnström and Henrik Kalisch
Global bifurcation for the Whitham equation
Mathematical Modelling of Natural Phenomena

Mats Harald Andreas Ehrnström, Joachim Escher and Bogdan-Vasile Matioc
Steady-state fingering patterns for a periodic Muskat problem
Methods and Applications of Analysis

Giovanni Franzina and Peter Lindqvist
An eigenvalue problem with variable exponents
Nonlinear Analysis

Markus Grasmair, Otmar Scherzer and Anne Vanhems
Nonparametric instrumental regression with non-convex constraints
Inverse Problems

Markus Grasmair
Variational inequalities and higher order convergence rates for Tikhonov regularisation on Banach spaces
Journal of Inverse and Ill-Posed Problems

Markus Grasmair, Monika Muszkieta and Otmar Scherzer
An approach to the minimization of the Mumford-Shah functional using Gamma-convergence and topological asymptotic expansion
Interfaces and free boundaries (Print)

Katrin Grunert
Scattering theory for Schrodinger operators on steplike, almost periodic infinite-gap backgrounds
Journal of Differential Equations

Katrin Grunert, Helge Holden and Xavier Raynaud
LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE
Discrete and Continuous Dynamical Systems. Series A

Katrin Grunert, Helge Holden and Xavier Raynaud
Periodic conservative solutions for the two-component Camassa-Holm system
Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday

Helge Holden and Lars Holden
Optimal rebalancing of portfolios with transaction costs
Stochastics: An International Journal of Probability and Stochastic Processes

Helge Holden, Christian Lubich and Nils Henrik Risebro
Operator splitting for partial differential equations with Burgers nonlinearity
Mathematics of Computation

Helge Holden, Kenneth Hvistendahl Karlsen and Trygve Klovning Karper
OPERATOR SPLITTING FOR WELL-POSED ACTIVE SCALAR EQUATIONS
SIAM Journal on Mathematical Analysis

Helge Holden, Kenneth Hvistendahl Karlsen and Trygve Klovning Karper
Operator splitting for two-dimensional incompressible fluid equations
Mathematics of Computation

Espen Robstad Jakobsen and Simone Cifani
On the spectral vanishing viscosity method for periodic fractional conservation laws
Mathematics of Computation

Oleh Ihorovych Karpa and Arvid Næss
Extreme value statistics of wind speed data by the ACER method
Journal of Wind Engineering and Industrial Aerodynamics

Bernt Johan Leira, Arvid Næss and Ole Erik Brandrud Næss
Reliability analysis of corroding pipelines by enchanched Monte Carlo simulation
Research and applications in structural engineering, mechanics and computation : Proceedings of the 5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013

Marc Maes and Arvid Næss
Sequential selection of an optimal operating window
Civil Engineering and Environmental Systems

Andre Massing, Mats Larson and Anders Bernhard Logg
Efficient Implementation of Finite Element Methods on Nonmatching and Overlapping Meshes in Three Dimensions
SIAM Journal on Scientific Computing

Kjell Magne Mathisen, Knut Morten Okstad, Trond Kvamsdal and Siv Bente Raknes
Simulation of Large Deformation Frictionless Contact using Mortar-based Isogeometric Analysis
MekIT'13 Seventh National Conference on Computational Mechanics, Trondheim 13-14 May 2013

Kjell Magne Mathisen, Knut Morten Okstad, Trond Kvamsdal and Siv Bente Raknes
Isogeometric Analysis applied to Frictionless Large Deformation Elastoplastic Contact
Computational Plasticity XII Fundamentals and Applications Barcelona, Spain, 3 - 5 September 2013

Arvid Næss, Oleg Gaidai and Oleh Ihorovych Karpa
Estimation of Extreme Values by the Average Conditional Exceedance Rate Method
Journal of Probability and Statistics

Arvid Næss and Oleh Ihorovych Karpa
Statistics of extreme wind speeds and wave heights by the bivariate acer method
Proceedings of ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2013). Volume 2A: Structures, Safety and Reliability

Syvert Paul Nørsett and Andreas Asheim
REGARDING THE ABSOLUTE STABILITY OF STORMER-COWELL METHODS
Discrete and Continuous Dynamical Systems. Series A

Siv Bente Raknes, Xiaowei Deng, Yuri Bazilevs, David J. Benson, Kjell Magne Mathisen and Trond Kvamsdal
Isogeometric rotation-free bending-stabilized cables: Statics, dynamics, bending strips and coupling with shells
Computer Methods in Applied Mechanics and Engineering

Siv Bente Raknes, Kjell Magne Mathisen, Bjørn Haugen, Xiaowei Deng, Yuri Bazilevs and Trond Kvamsdal
Isogeometric Rotation-free Large-deformation Euler-Bernoulli Beam Formulation
MekIT'13 Seventh National Conference on Computational Mechanics, Trondheim 13-14 May 2013

Anders Rønnquist, Ole Øiseth, Arvid Næss and Svein N Remseth
Reliability analysis of submerged tunnel taught mooring elements subjected to parametric excitation
Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures. Proceedings of the 11th International Conference on Structural Safety and Reliability, ICISSAR 2013, New York, 16-20 June, 2013

Luis V. Sagrilo, FJM de Sousa, JAV Bazan, Zhen Gao and Arvid Næss
Long-term extreme response of marine structures considering the combination of first and second order wave effect
ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering Volume 2B: Structures, Safety and Reliability

M Skjong, Arvid Næss and Ole Erik Brandrud Næss
Statistics of Extreme Sea Levels for Locations along the Norwegian Coast
Journal of Coastal Research

D. Yurchenko, Arvid Næss and P. Alevras
Pendulum's rotational motion governed by a stochastic Mathieu equation
Probabilistic Engineering Mechanics

Ben Adcock, Arieh Iserles and Syvert Paul Nørsett
From high oscillation to rapid approximation II: expansions in Birkhoff series
IMA Journal of Numerical Analysis

N Alibaud, Simone Cifani and Espen Robstad Jakobsen
CONTINUOUS DEPENDENCE ESTIMATES FOR NONLINEAR FRACTIONAL CONVECTION-DIFFUSION EQUATIONS
SIAM Journal on Mathematical Analysis

Mark Brunk and Anne Kværnø
Positivity preserving discretization of time dependent semiconductor drift-diffusion equations
Applied Numerical Mathematics

Elena Celledoni, Volker Grimm, Robert I. McLachlan, David McLaren, Dion O'Neale, Brynjulf Owren and G.R.W Quispel
Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method
Journal of Computational Physics

Elena Celledoni and Takayasu Matsuo
Preface of the "Symposium on structure-preserving numerical methods for differential equations"
AIP Conference Proceedings

Ali Cetin and Arvid Næss
Toward a proper statistical description of defects
International Journal of Fatigue

Ali Cetin and Arvid Næss
Statistical Characterisation of Inclusions in Metals: from 2D to 3D
Materials Science and Technology

MF Dimentberg, A. Hera and Arvid Næss
Short-term instability in stochastic systems
Probabilistic Engineering Mechanics

MF Dimentberg, Arvid Næss and L Sperling
Response of a Rotating Shaft to Uniaxial Random Excitation
Journal of applied mechanics

Mats Harald Andreas Ehrnström, Mark Groves and E. Wahlén
On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type
Nonlinearity

Thomas Fidler, Markus Grasmair and Otmar Scherzer
Shape reconstruction with a priori knowledge based on integral invariants
SIAM Journal of Imaging Sciences

Klaus Frick and Markus Grasmair
Regularization of linear ill-posed problems by the augmented Lagrangian method and variational inequalities
Inverse Problems

Oleg Gaidai, Arvid Næss and Carl Trygve Stansberg
Airgap statistics for a tension leg platform
2012 Proceedings of the ASME 31st International Conference on Ocean, Offshore and Arctic Engineering (OMAE2012): Volume 2 Structures, Safety and Reliability

B. Gaspar, Arvid Næss, Bernt Johan Leira and C. Guedes Soares
System reliability analysis of a stiffened panel under combined uniaxial compression and lateral pressure loads
Structural Safety

Fritz Gesztesy, Jerome Goldstein, Helge Holden and Gerald Teschl
Abstract wave equations and associated Dirac-type operators
Annali di Matematica Pura ed Applicata

Katrin Grunert, Helge Holden and Xavier Marcel Raynaud
GLOBAL CONSERVATIVE SOLUTIONS TO THE CAMASSA-HOLM EQUATION FOR INITIAL DATA WITH NONVANISHING ASYMPTOTICS
Discrete and Continuous Dynamical Systems. Series A

Katrin Grunert, Helge Holden and Xavier Marcel Raynaud
Global Solutions for the Two-Component Camassa-Holm System
Communications in Partial Differential Equations

Anne Kværnø and James H Verner
Subquadrature expansions for TSRK methods
Numerical Algorithms

Dominique Küpper Küpper, Anne Kværnø and Andreas Rößler
A Runge-Kutta method for index 1 stochastic differential-algebraic equations with scalar noise
BIT Numerical Mathematics

Erik Kristian Lindgren and Peter Lindqvist
Stability for the infinity-Laplace equation with variable exponent
Differential and Integral Equations

Peter Lindqvist
Regularity of supersolutions
Regularity Estimates for Nonlinear Elliptic and Parabolic Problems

Peter Lindqvist
On the time derivative in an obstacle problem
Revista matemática iberoamericana

Peter Lindqvist and Mikko Parviainen
Irregular time dependent obstacles
Journal of Functional Analysis

Arvid Næss and Oleksandr Batsevych
Space-Time Extreme Value Statistics of Non-Gaussian Random Fields
Probabilistic Engineering Mechanics

Arvid Næss, Bernt Johan Leira and Oleksandr Batsevych
Reliability Analysis of Large Structural Systems
Probabilistic Engineering Mechanics

Arvid Næss and Eugen Mamontov
The physical, gain–loss model for the stochasticity of the phase velocity of a wind-driven water wave
Mathematical and computer modelling

Arvid Næss, Carl Trygve Stansberg and Oleksandr Batsevych
Prediction of Extreme Tether Tension for a TLP by the AUR and ACER Methods
Journal of Offshore Mechanics and Arctic Engineering

Arvid Næss, Marc Maes and Markus R. Dann
Enhanced Monte Carlo for Reliability-Based Design and Calibration
Computational Methods in Stochastic Dynamics: Volume 2

Luis V.S. Sagrilo, Arvid Næss and Zhen Gao
On the Extreme Value Analysis of the Response of a Turret Moored FPSO
Journal of Offshore Mechanics and Arctic Engineering

M.T. Sichani, S.R.K. Nielsen and Arvid Næss
Failure Probability Estimation of Wind Turbines by Enhanced Monte Carlo
Journal of Engineering Mechanics

Elena Celledoni and Bawfeh Kingsley Kometa
Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems
Journal of Computational Physics

Snorre H Christiansen, Hans Munthe-Kaas and Brynjulf Owren
Topics in structure-preserving discretization
Acta Numerica

Simone Cifani and Espen Robstad Jakobsen
Entropy solution theory for fractional degenerate convection-diffusion equations
Annales de l'Institut Henri Poincare. Analyse non linéar

Simone Cifani, Espen Robstad Jakobsen and Kenneth Hvistendahl Karlsen
The discontinuous Galerkin method for fractal conservation laws
IMA Journal of Numerical Analysis

Simone Cifani, Espen Robstad Jakobsen and Kenneth Hvistendahl Karlsen
The discontinuous Galerkin method for fractional degenerate convection-diffusion equations
BIT Numerical Mathematics

Morten Dahlby, Brynjulf Owren and Takaharu Yaguchi
Preserving multiple first integrals by discrete gradients
Journal of Physics A: Mathematical and Theoretical

Morten Dahlby and Brynjulf Owren
A General Framework for Deriving Integral Preserving Numerical Methods for PDEs
SIAM Journal on Scientific Computing

Kristian Debrabant and Anne Kværnø
Composition of stochastic B-series with applications to implicit Taylor methods
Applied Numerical Mathematics

Kristian Debrabant and Anne Kværnø
B-series analysis of iterated Taylor methods
BIT Numerical Mathematics

Michael F. Dimentberg, Adriana Hera and Arvid Næss
Marginal Instability and Intermittancy in Stochastic Systems
IUTAM Symposium on Nonlinear Stochastic Dynamics and Control

Mats Ehrnström
Steady water waves with critical layers
SIAM Journal on Applied Mathematics

Mats Ehrnström, J. Escher and G. Villari
Steady water waves with multiple critical layers: interior dynamics
Journal of Mathematical Fluid Mechanics

Mats Ehrnström, J. Escher and B.-V. Matioc
Well-posedness, instabilities, and bifurcation results for the flow in a rotating Hele-Shaw cell
Journal of Mathematical Fluid Mechanics

Mats Ehrnström, C.C. Tisdell and E. Wahlén
Asymptotic integration of second order nonlinear difference equations
Glasgow Mathematical Journal

Mats Ehrnström, J. Escher and E. Wahlén
Steady water waves with multiple critical layers
SIAM Journal on Mathematical Analysis

Hermano Frid, Helge Holden and Kenneth Hvistendahl Karlsen
L-infinity SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW
SIAM Journal on Mathematical Analysis

B. Gaspar, Arvid Næss, Bernt Johan Leira and C.G. Soares
Efficient System Reliability Analysis by Finite Element Structural Models (OMAE2011-49950)
30th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2011) - Vol. II

Fritz Gesztesy and Helge Holden
The damped string problem revisited
Journal of Differential Equations

Markus Grasmair, Markus Haltmeier and Otmar Scherzer
The residual method for regularizing ill-posed problems
Applied Mathematics and Computation

Markus Grasmair, Markus Haltmeier and Otmar Scherzer
Necessary and sufficient conditions for linear convergence of l1-regularization
Communications on Pure and Applied Mathematics

Markus Grasmair
Well-posedness classes for sparse regularization
Communications in Mathematical Sciences

Markus Grasmair
Linear convergence rates for Tikhonov regularization with positively homogeneous functionals
Inverse Problems

Katrin Grunert, Helge Holden and Xavier Marcel Raynaud
Lipschitz metric for the periodic Camassa-Holm equation
Journal of Differential Equations

Helge Holden and Xavier Marcel Raynaud
Global Semigroup of Conservative Solutions of the Nonlinear Variational Wave Equation
Archive for Rational Mechanics and Analysis

Helge Holden, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro and T Tao
OPERATOR SPLITTING FOR THE KdV EQUATION
Mathematics of Computation

Daan Huybrechs, Arieh Iserles and Syvert Paul Nørsett
From high oscillation to rapid approximation IV: accelerating convergence
IMA Journal of Numerical Analysis

Daan Huybrechs, Arieh Iserles and Syvert Paul Nørsett
From high oscillation to rapid approximation V: the equilateral triangle
IMA Journal of Numerical Analysis

Trond Kvamsdal, Kjetil Andre Johannessen, Kjell Magne Mathisen and Knut Morten Okstad
Adaptive Refinement of Isogeometric Plate Elements using LR-splines
Computational methods in Marine Engineering IV

Kjell Magne Mathisen, Knut Morten Okstad, Trond Kvamsdal and Siv Bente Raknes
Isogeometric Analysis of Finite Deformation Elastic and Elastoplastic Solid Problems
MekIT'11: Sixth National Conference on Computational Mechanics, Trondheim 23-24 May 2011

Kjell Magne Mathisen, Knut Morten Okstad, Trond Kvamsdal and Geir Skeie
Non-linear Isogeometric Analysis in Marine Applications
Computational methods in Marine Engineering IV

Kjell Magne Mathisen, Knut Morten Okstad, Trond Kvamsdal and Siv Bente Raknes
Isogeometric analysis of finite deformation nearly incompressible solids
Rakenteiden Mekaniikka

Arvid Næss, Daniil V. Iourtchenko and Oleksandr Batsevych
Reliability of systems with randomly varying parameters by the path integration method
Probabilistic Engineering Mechanics

Arvid Næss, Daniil Iourtchenko and Oleksandr Batsevych
Reliability of Linear and Nonlinear Dynamic Systems under Multiplicative and Additive Noise
IUTAM Symposium on Nonlinear Stochastic Dynamics and Control

Arvid Næss, Daniil V. Iourtchenko and Oleksandr Batsevych
Reliability of Linear and Nonlinear Dynamic Systems under Multiplicative and Additive Noise
IUTAM Bookseries

Arvid Næss and Oleh Karpa
Extreme value statistics of wind speed data by the ACER method
Proceedings of the 13th International Conference on Wind Engineering (ICWE)

Arvid Næss and Oleg Gaidai
Prediction of Airgap Statistics for Fixed Offshore Platforms (OMAE2011-49588)
30th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2011) - Vol. II

Syvert Paul Nørsett, Hermann Brunner and Arieh Iserles
The Computation of the Spectra of highly oscillatory Fredholm integral operators
Journal of Integral Equations and Applications

Luis V. Sagrilo, Arvid Næss and A.S Doria
On the Long-Term Response of Marine Structures
Applied Ocean Research

Luis V. Sagrilo, Zhen Gao, Arvid Næss and E.C.P. Lima
A Straightforward Approach for Using Single Time Domain Simulations to Assess Characteristic Extreme Responses
Ocean Engineering

Annette Stahl and Trond Kvamsdal
B-Spline Approximation for Visualisation of Isogeometric Analysis Results
MekIT'11: Sixth National Conference on Computational Mechanics, Trondheim 23-24 May 2011

Annette Stahl and Trond Kvamsdal
B-Spline Approximation for Visualisation of Isogeometric Analysis Results
MekIT'11: Sixth National Conference on Computational Mechanics, Trondheim 23-24 May 2011

Henrik Stensgaard Toft, Arvid Næss, Nilanjan Saha and John Dalsgaard Sørensen
Response Load Extrapolation for Wind Turbines during Operation Based on Average Conditional Exceedance Rates
Wind Energy

Theodore Alexandrov, Michael Becker, Sören-Oliver Deininger, Günther Ernst, Liane Wehder, Markus Grasmair, Ferdinand von Eggeling, Herbert Thiele and Peter Maass
Spatial segmentation of imaging mass spectrometry data with edge-preserving image denoising and clustering
Journal of Proteome Research

Yuri Bazilevs, M. C. Hsu, Y. Zhang, W. Wang, X Liang, Trond Kvamsdal, Reidar Brekken and Jørgen Gjernes Isaksen
A fully-coupled fluid-structure interaction simulation of cerebral aneurysms
Computational Mechanics

Yuri Bazilevs, M. C. Hsu, Y. Zhang, W. Wang, Trond Kvamsdal, S Hentschel and Jørgen Gjernes Isaksen
Computational vascular fluid-structure interaction: methodology and application to cerebral aneurysms
Biomechanics and Modeling in Mechanobiology

IH Biswas, Espen Robstad Jakobsen and KH Karlsen
Viscosity Solutions for a System of Integro-PDEs and Connections to Optimal Switching and Control of Jump-Diffusion Processes
Applied Mathematics and Optimization

Imran Habib Biswas, Espen Robstad Jakobsen and Kenneth Hvistendahl Karlsen
DIFFERENCE-QUADRATURE SCHEMES FOR NONLINEAR DEGENERATE PARABOLIC INTEGRO-PDE
SIAM Journal on Numerical Analysis

Alberto Bressan, Helge Holden and Xavier Raynaud
Lipschitz metric for the Hunter-Saxton equation
Journal des Mathématiques Pures et Appliquées

Elena Celledoni and Niklas Säfström
Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions
Computer Methods in Applied Mechanics and Engineering

Elena Celledoni and Antonella Zanna
Algorithm 903: FRB-Fortran Routines for the Exact Computation of Free Rigid Body Motions
ACM Transactions on Mathematical Software

Elena Celledoni, I. Robert McLachlan, Brynjulf Owren and Reinout Quispel
On conjugate B-series and their geometric structure
Journal on Numerical Analysis Industrial and Applied Mathematics

Elena Celledoni, I. Robert McLachlan, Brynjulf Owren and Reinout Quispel
Energy-Preserving Integrators and the Structure of B-series
Foundations of Computational Mathematics

Elena Celledoni and Niklas Säfström
A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions
Computer Methods in Applied Mechanics and Engineering

Giuseppe Maria Coclite and Helge Holden
Ground states of the Schrödinger-Maxwell system with Dirac mass: Existence and asymptotics
Discrete and Continuous Dynamical Systems. Series A

Kristian Debrabant and Anne Kværnø
Stochastic Taylor Expansions: Weight Functions of B-Series Expressed as Multiple Integrals
Stochastic Analysis and Applications

MF Dimentberg, A Hera and Arvid Næss
Short Term Instability in Stochastic Aeroelasticity
ASME 2010 : 3rd Joint US-European Fluids Engineering Summer Meeting and 8th International Conference on Nanochannels, Microchannels, and Minichannels (FEDSM-ICNMM2010) August 1-5, 2010, Montreal Canada

Tor Dokken, Trond Kvamsdal, Kjell Fredrik Pettersen and Vibeke Skytt
Isogeometric Analysis
Trita-MEK

Peter Elbau, Markus Grasmair, Frank Lenzen and Otmar Scherzer
Evolution by non-convex functionals
Numerical Functional Analysis and Optimization

Fritz Gesztesy, Helge Holden, Johanna Michor and Gerald Teschl
The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy
Discrete and Continuous Dynamical Systems. Series A

Marte Godvik and Harald Hanche-Olsen
CAR-FOLLOWING AND THE MACROSCOPIC AW-RASCLE TRAFFIC FLOW MODEL
Discrete and continuous dynamical systems. Series B

Markus Grasmair and Frank Lenzen
Anisotropic total variation filtering
Applied Mathematics and Optimization

Markus Grasmair
Generalized Bregman distances and convergence rates for non-convex regularization methods
Inverse Problems

Markus Grasmair
Non-convex sparse regularisation
Journal of Mathematical Analysis and Applications

Markus Grasmair, Markus Haltmeier and Otmar Scherzer
Sparsity in Inverse Geophysical Problems
Handbook of Geomathematics

Harald Hanche-Olsen and Helge Holden
The Kolmogorov-Riesz compactness theorem
Expositiones mathematicae

Helge Holden and Peter Sarnak
A survey of Peter D. Lax's contributions to mathematics
The Abel Prize 2003-2007. The First Five Years

H Holden, Lars Holden and S Holden
Contract adjustment under uncertainty
Journal of Economic Dynamics and Control

Helge Holden, Nils Henrik Risebro and Hilde Sande
Front tracking for a model of immiscible gas flow with large data
BIT Numerical Mathematics

Daniil Iourtchenko, Arvid Næss and Oleksandr Batsevych
Application of the path integration method to reliability problems of dynamic systems
Safety, reliability and risk of structures, infrastructures and engineering systems : proceedings of the Tenth International Conference on Structural Safety and Reliability (ICOSSAR2009), Osaka, Japan, 13-17 September 2009

Espen Robstad Jakobsen
Monotone schemes
Encyclopedia of Quantitative Finance

Anne Kværnø and H.G. ter Morsche
Minisymposium Topics in Learning Applied and Industrial Mathematics
Mathematics in Industry

Peter Lindqvist and Teemu Johannes Lukkari
A curious equation involving the infinity-Laplacian
Advances in Calculus of Variations

André Jürgen Massing, Mats Larson and Anders Bernhard Logg
Towards an Implementation of Nitsche's Method on Overlapping Meshes in 3D
ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010

Arvid Næss, Bernt Johan Leira and Oleksandr Batsevych
EFFICIENT RELIABILITY ANALYSIS OF STRUCTURAL SYSTEMS WITH A HIGH NUMBER OF LIMIT STATES
29th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2010) : Shanghai, China, June 6-11, 2010

Arvid Næss and Nilanjan Saha
Estimation of extreme deflection for a beam with uncetain parameters
Safety, reliability and risk of structures, infrastructures and engineering systems : proceedings of the Tenth International Conference on Structural Safety and Reliability (ICOSSAR2009), Osaka, Japan, 13-17 September 2009

Arvid Næss, Bernt Johan Leira and Oleksandr Batsevych
A Monte Carlo based method for system reliability
Safety, reliability and risk of structures, infrastructures and engineering systems : proceedings of the Tenth International Conference on Structural Safety and Reliability (ICOSSAR2009), Osaka, Japan, 13-17 September 2009

Arvid Næss, Oleg Gaidai and Oleksandr Batsevych
Prediction of Extreme Response Statistics of Narrow-Band Random Vibrations
Journal of Engineering Mechanics

Arvid Næss and Oleksandr Batsevych
Space-time extreme value statistics of a Gaussian random field
Probabilistic Engineering Mechanics

Arvid Næss and Even Haug
Extreme Value Statistics of Wind Speed Data by the POT and ACER Methods
Journal of Offshore Mechanics and Arctic Engineering

Syvert Paul Nørsett, Hermann Brunner and Arieh Iserles
The spectral problem for a class of highly oscillatory Fredholm integral operators
IMA Journal of Numerical Analysis

Syvert Paul Nørsett, Albrecht Böttcher, Hermann Brunner and Arieh Iserles
On the singular values and eigenvalues of the Fox-Li and related operators
New York journal of mathematics

Syvert Paul Nørsett, Daan Huybrechs and Arieh Iserles
From high oscillation to rapid approximation V: the equilateral triangle
IMA Journal of Numerical Analysis

Knut Morten Okstad, Kjell Magne Mathisen and Trond Kvamsdal
Isogeometric Finite Element Methods for Nonlinear Problems
Trita-MEK

Luis V. Sagrilo, Arvid Næss and Zhen Gao
EXTREME VALUE ANALYSIS OF THE RESPONSE OF A TURRET-MOORED FPSO
29th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2010) : Shanghai, China, June 6-11, 2010

Nilanjan Saha and Arvid Næss
A Monte Carlo Based Method for Predicting Extreme Value Statistics of Uncertain Structures
Journal of Engineering Mechanics

F Camilli and Espen Robstad Jakobsen
A FINITE ELEMENT LIKE SCHEME FOR INTEGRO-PARTIAL DIFFERENTIAL HAMILTON-JACOBI-BELLMAN EQUATIONS
SIAM Journal on Numerical Analysis

Elena Celledoni and Niklas Säfström
An elastic rod model and its Hamiltonian structure
AIP Conference Proceedings

Elena Celledoni, I. Robert McLachlan, Brynjulf Owren and Reinout Quispel
Structure of B-series for some classes of Geometric Integrators
AIP Conference Proceedings

Elena Celledoni and Bawfeh Kingsley Kometa
Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems
Journal of Scientific Computing

Elena Celledoni, I. Robert McLachlan, David McLaren, Brynjulf Owren, Quispel Reinout and Will Wright
Energy-preserving Runge-Kutta methods
Mathematical Modelling and Numerical Analysis

Elena Celledoni and Trond Kvamsdal
Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium
International Journal for Numerical Methods in Engineering

Morten Lien Dahlby and Brynjulf Owren
Plane wave stability of some conservative schemes for the cubic Schrödinger equation
Mathematical Modelling and Numerical Analysis

MF Dimentberg, Oleg Gaidai and Arvid Næss
Random vibrations with Strongly Inelastic Impacts: Response PDF by the Path Integration Method
International Journal of Non-Linear Mechanics

MF Dimentberg, A. Hera and Arvid Næss
Marginal Instability and Intermittency in Stochastic Systems-Part II: Systems With Rapid Random Variations in Parameters
Journal of applied mechanics

Michael f. Dimentberg, Oleg Gaidai and Arvid Næss
Random Vibrations with Inelastic Impacts
Vibro-Impact Dynamics of Ocean Systems and Related Problems,

Mats Ehrnstrom, Helge Holden, Xavier Raynaud and Mats Ehrnström
Symmetric waves are traveling waves
International Mathematics Research Notices (IMRN)

Mats Ehrnstrom and Gabriele Villari
Recent progress on particle trajectories in steady water waves
Discrete and Continuous Dynamical Systems. Series A

Mats Ehrnstrom and Henrik Kalisch
Traveling waves for the Whitham equation
Differential and Integral Equations

Markus Grasmair
Well-posedness and convergence rates for sparse regularization with sublinear l^q penalty term
Inverse Problems and Imaging

Markus Grasmair
Locally Adaptive Total Variation Regularization
Lecture Notes in Computer Science (LNCS)

Helge Holden, Nils Henrik Risebro and Hilde Sande
Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases
Hyperbolic Problems: Theory, Numerics and Applications

Helge Holden, Nils Henrik Risebro and Hilde Sande
Convergens of front tracking and the Glimm scheme for a model of the flow of immiscible gases
Hyperbolic Problems: Theory, Numerics and Applications

Helge Holden, Kenneth Hvistendahl Karlsen and D Mitrovic
Zero diffusion-dispersion-smoothing limits for scalar conservation law with discontinuous flux function
International Journal of Differential Equations

Helge Holden, Kenneth Hvistendahl Karlsen, Darko Mitrovic and Evgueni Yu Panov
Strong compactness of approximated solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function
Acta Mathematica Scientia

Helge Holden, KH Karlsen and N.H. Risebro
A convergent finite-difference method for a nonlinear variational wave equation
IMA Journal of Numerical Analysis

Helge Holden, Kenneth Hvistendahl Karlsen and Darko Mitrovic
Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function
International Journal of Differential Equations

Helge Holden and Xavier Raynaud
Dissipative solutions for the Camassa-Holm equation
Discrete and Continuous Dynamical Systems. Series A

Helge Holden, Nils H. Risebro and Hilde Sande
THE SOLUTION OF THE CAUCHY PROBLEM WITH LARGE DATA FOR A MODEL OF A MIXTURE OF GASES
Journal of Hyperbolic Differential Equations

Helge Holden, Giuseppe Maria Coclite and Kenneth Hvistendahl Karlsen
Well-posedness of higher-order Camassa-Holm equations
Journal of Differential Equations

A Iserles and Syvert Paul Nørsett
From high oscillation to rapid approximation III: multivariate expansions
IMA Journal of Numerical Analysis

Trond Kvamsdal
Adaptive Mesh Refinement Applied at Transverse Flow on Ship Hulls in Shallow Water
Computational Methods in Marine Engineering III Marine 2009

Peter Lindqvist and Petri Juutinen
Pointwise Decay for the Solutions of Degenerate and Singular Parabolic Equations
Advances in Differential Equations

Eugen Mamontov and Arvid Næss
The sea-wave elevation and multistability in a non-autonomous nonlinear Itô's stochastic differential equation for the rolling angle of ship
Applied Mathematical Modelling

Eugen Mamontov and Arvid Næss
An analytical–numerical method for fast evaluation of probability densities for transient solutions of nonlinear Itô’s stochastic differential equations
International Journal of Engineering Science

Eirik Mo and Arvid Næss
Nonsmooth Dynamics by Path Integration: An Example of Stochastic and Chaotic Response of a Meshing Gear Pair
Journal of Computational and Nonlinear Dynamics

Arvid Næss, Bernt Johan Leira and Oleksandr Batsevych
System reliability analysis by enhanced Monte Carlo simulation
Structural Safety

Arvid Næss, CT Stansberg, O Gaidai and RJ Baarholm
Statistics of Extreme Events in Airgap Measurements
Journal of Offshore Mechanics and Arctic Engineering

Arvid Næss and Oleg Gaidai
Estimation of extreme values from sampled time series
Structural Safety

Arvid Næss, Oleg Gaidai and Oleksandr Batsevych
Extreme value statistics of combined load effect processes
Structural Safety

Knut Morten Okstad, Trond Kvamsdal and Runar Holdahl
Parallel CFD Simulations of Flow Through Fishing Nets
Computational Methods in Marine Engineering III Marine 2009

Yongjie Zhang, Wenyan Wang, Xinghua Liang, Yuri Bazilevs, Ming-Chen Hsu, Trond Kvamsdal, Reidar Brekken and Jørgen Gjernes Isaksen
High-Fidelity Tetrahedral Mesh Generation from Medical Imaging Data for Fluid-Structure Interaction Analysis of Cerebral Aneurysms
CMES - Computer Modeling in Engineering & Sciences

Imran Habib Biswas, Espen Robstad Jakobsen, C La Chioma and Kenneth h. Karlsen
Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions
Numerische Mathematik

Imran Habib Biswas, Espen Robstad Jakobsen and Kenneth h. Karlsen
Error estimates for a class of finite difference-quadrature schemes for fully nonlinear degenerate parabolic integro-PDEs
Journal of Hyperbolic Differential Equations

Elena Celledoni, Francesco Fasso, Niklas Sævstrøm and Antonella Zanna
The exact computation of the free rigid body motion and its use in splitting methods
SIAM Journal on Scientific Computing

Elena Celledoni, David Cohen and Brynjulf Owren
Symmetric exponential integrators for the nonlinear Schroedinger equation
Foundations of Computational Mathematics

Elena Celledoni and Simone Fiori
Descent methods for optimization on homogeneous manifolds
Mathematics and Computers in Simulation

David Cohen, B Owren and X Raynaud
Symplectic integration of the Carnassa-Holm equation
Journal of Computational Physics

David Cohen, Brynjulf Owren and Xavier Raynaud
Multi-symplectic integration of the Camassa–Holm equation
Journal of Computational Physics

MF Dimentberg, A Hera and Arvid Næss
Marginal Instability and Intermittency in Stochastic Systems - Part I: Systems with Slow Random Variations of Parameters
Journal of applied mechanics

Michael f. Dimentberg and Arvid Næss
Nonlinear vibrations of a rotating shaft with broadband random variations of internal damping
Nonlinear dynamics

Thomas Fidler, Markus Grasmair and Otmar Scherzer
Identifiability and reconstruction of shapes from integral invariants
Inverse Problems and Imaging

Oleg Gaidai and Arvid Næss
Extreme response statistics for drag dominated offshore structures
Probabilistic Engineering Mechanics

Oleg Gaidai and Arvid Næss
Non-linear Effects on Fatigue Analysis for Fixed Offshore Structures
Journal of Offshore Mechanics and Arctic Engineering

Oleg Gaidai, Arvid Næss and Kazimierz Sobczyk
The effect of fatigue-induced crack propagation on the stochastic dynamics of a nonlinear structure
Probabilistic Engineering Mechanics

Fritz Gesztesy, Gerald Teschl and Helge Holden
The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data
Revista matemática iberoamericana

F Gesztesy, Helge Holden, J Michor and G Teschl
Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy
Studies in applied mathematics (Cambridge)

F Gesztesy and Helge Holden
Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Marte Godvik and Harald Hanche-Olsen
Existence of solutions for the Aw–Rascle traffic flow model with vacuum
Journal of Hyperbolic Differential Equations

Markus Grasmair and Andreas Obereder
Generalizations of the taut string method
Numerical Functional Analysis and Optimization

Markus Grasmair, Markus Haltmeier and Otmar Scherzer
Sparse regularization with l^q penalty term
Inverse Problems

Harald Hanche-Olsen
On Goursat's proof of Cauchy's integral theorem
The American Mathematical Monthly

Helge Holden, Fritz Gesztesy, Johanna Michor and Gerald Teschl
The Ablowitz--Ladik hierarchy revisited
Methods of Spectral Analysis in Mathematical Physics

Helge Holden, Kenneth Hvistendahl Karlsen and Giuseppe Maria Coclite
Global weak solutions for a shallow water equation
Hyperbolic Problems: Theory, Numerics, Applications

Helge Holden and X Raynaud
Global Dissipative Multipeakon Solutions of the Camassa-Holm Equation
Communications in Partial Differential Equations

Helge Holden and X Raynaud
Periodic conservative solutions of the Camassa-Holm equation
Annales de l'Institut Fourier

Helge Holden and Giuseppe Maria Coclite
Erratum to: The Schrödinger-Maxwell system with Dirac mass
Annales de l'Institut Henri Poincare. Analyse non linéar

Daniil Iourtchenko, Eirik Mo and Arvid Næss
Reliability of Strongly Nonlinear Single Degree of Freedom Dynamic Systems by the Path Integration Method
Journal of applied mechanics

Jørgen Gjernes Isaksen, Yuri Bazilevs, Trond Kvamsdal, Yongjie Zhang, Jon H Kaspersen, Knut Waterloo, Bertil Romner and Tor Ingebrigtsen
Determination of Wall Tension in Cerebral Artery Aneurysms by Numerical Simulation
Stroke

Espen Robstad Jakobsen and Christine Georgelin
Continuous dependence results for non-linear Neumann type boundary value problems
Journal of Differential Equations

Kenneth Hvistendahl Karlsen, Giuseppe Maria Coclite and Helge Holden
Global weak solutions for a shallow water equation
Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Eleventh International Conference on Hyperbolic Problems held in Ecole Normale Supérieure, Lyon, July 17-21, 2006

Anne Kværnø and Kristian Debrabant
B-series analysis of stochastic Runge-Kutta methods that use an iterative scheme to compute their internal stage values
SIAM Journal on Numerical Analysis

Peter Lindqvist
A nonlinear eigenvalue problem
Topics in Mathematical Analysis

Peter Lindqvist
On the Time Derivative in a Quasilinear Equation
Skrifter

Peter Lindqvist and Juha Kinnunen
Definition and properties of supersolutions to the porous medium equation
Journal für die Reine und Angewandte Mathematik

Peter Lindqvist and JJ Manfredi
Note on a remarkable superposition for a nonlinear equation
Proceedings of the American Mathematical Society

Arvid Næss and E. Mo
A numerical study of the existence and stability of some chaotic attractors by path integration
Journal of Vibroengineering

Arvid Næss and Oleg Gaidai
A Monte Carlo Approach to Prediction of of Extreme Response Statistics of Drag Dominated Offshore Structures
Journal of Offshore Mechanics and Arctic Engineering

Arvid Næss and Oleg Gaidai
Monte Carlo methods for estimating the extreme response of dynamical systems
Journal of Engineering Mechanics

Syvert Paul Nørsett and Arieh Iserles
From high oscillation to rapid approximation I: modified Fourier expansions
IMA Journal of Numerical Analysis

Syvert Paul Nørsett and Arieh Iserles
From high oscillation to rapid approximation III: multivariate expansions
IMA Journal of Numerical Analysis

Xavier Raynaud and Helge Holden
A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation
Hyperbolic Problems: Theory, Numerics, Applications

Nils Henrik Risebro, Kenneth Hvistendahl Karlsen and Helge Holden
A convergent finite difference method for a variational wave equation
IMA Journal of Numerical Analysis

Solomon C. S. Yim, Dongjun Yuk, Arvid Næss and I-Ming Shih
Stochastic Analysis of Nonlinear Responses of a Moored Structure Under Narrow Band Excitations
Journal of Offshore Mechanics and Arctic Engineering

Guy Barles and Espen Robstad Jakobsen
Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations
Mathematics of Computation

Imran Habib Biswas, Espen Robstad Jakobsen and Kenneth Hvistendahl Karlsen
Error estimates for finite difference-quadrature schemes for a class of nonlocal Bellman equations with variable diffusion
Contemporary Mathematics

Imran Habib Biswas, Espen Robstad Jakobsen and Kenneth h. Karlsen
Error estimates for finite difference-quadrature schemes for a class of nonlocal Bellman equations with variable diffusion
Contemporary Mathematics

Elena Celledoni, Francesco Fasso, Niklas Säfström and Antonella Zanna
The exact computation of the free rigid body motion and its use in splitting methods
SIAM Journal on Scientific Computing

Michael f. Dimentberg, Eirik Mo and Arvid Næss
Probability Density and Excursions of Structural Response to Imperfectly Periodic Excitation
Journal of Engineering Mechanics

Michael f. Dimentberg and Arvid Næss
Short-term flutter-type instability of undamped TDOF system with randomly varying bifurcation parameter
Journal of Sound and Vibration

Markus Grasmair
The equivalence of the taut string algorithm and BV-regularization
Journal of Mathematical Imaging and Vision

Helge Holden, Fritz Gesztesy, Johanna Michor and Gerald Teschl
Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy
International Mathematics Research Notices (IMRN)

Helge Holden and Giuseppe M. Coclite
The Schrodinger-Maxwell system with Dirac mass
Annales de l'Institut Henri Poincare. Analyse non linéar

Helge Holden and Xavier Raynaud
Global conservative solutions of the Camassa-Holm equation - a Lagrangian point of view
Communications in Partial Differential Equations

Helge Holden and Fritz Gesztesy
Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Helge Holden, Kenneth Hvistendahl Karlsen and Nils Henrik Risebro
Convergent difference schemes for the Hunter-Saxton equation
Mathematics of Computation

Helge Holden and Xavier Raynaud
Global conservative solutions of the generalized hyperelastic-rod wave equation
Journal of Differential Equations

Helge Holden and Xavier Raynaud
Global conservative multipeakon solutions of the Camassa-Holm equation
Journal of Hyperbolic Differential Equations

Peter Lindqvist and Juan J. Manfredi
Viscosity supersolutions of the evolutionary p-Laplace equation
Differential and Integral Equations

Eirik Mo and Arvid Næss
Efficient path integrations by FFT
Proceedings of the 10th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2007

Arvid Næss and Oleg Gaidai
Estimation of extreme response of dynamic structural systems subjected to stochastic loading by direct Monte Carlo simulation
Proceedings of the 10th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2007

Arvid Næss, Oleg Gaidai and Per Teigen
Extreme response prediction for nonlinear floating offshore structures by Monte Carlo simulation
Applied Ocean Research

Arvid Næss and Oleg Gaidai
The Asymptotic Behaviour of Second Order Stochastic Volterra Series Models of Slow Drift Response
Probabilistic Engineering Mechanics

Arvid Næss, Oleg Gaidai and Sverre Haver
Efficient Estimation of Extreme Response of Drag Dominated Offshore Structures by Monte Carlo Simulation
Ocean Engineering

Arvid Næss, Finn Erik Kolnes and Eirik Mo
Stochastic spur gear dynamics by numerical path integration
Journal of Sound and Vibration

A Olsen and Arvid Næss
An importance sampling procedure for estimating failure probabilities of non-linear dynamic systems subjected to random noise
International Journal of Non-Linear Mechanics

Christian Skaug and Arvid Næss
Fast and accurate pricing of discretely monitored barrier options by numerical path integration
Computational Economics

Dongjun Yuk, Solomon C. Yim, Arvid Næss and I-Ming Shih
Global and local nonlinear system responses under narrowband random excitations. 2: Prediction, simulation and comparison
Journal of Engineering Mechanics

Dongjun Yuk, Solomon C. Yim, Arvid Næss and I-Ming Shih
Global and local nonlinear system responses under narrowband random excitations. 1: Semianalytical method
Journal of Engineering Mechanics

Håvard Berland, Brynjulf Owren and Bård Skaflestad
Solving the nonlinear Schrodinger equation using exponential integrators
MIC Journal: Modeling, Identification and Control

Elena Celledoni and Niklas Sævstrøm
A symmetric splitting method for rigid body dynamics
MIC Journal: Modeling, Identification and Control

Elena Celledoni and Niklas Sævstrøm
Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions
Journal of Physics A: Mathematical and General

M Dimentberg, D Iourtchenko and Arvid Næss
Short-term structural instability under random dynamic loads
Journal of Engineering Mechanics

MF Dimentberg and Arvid Næss
Short-term dynamic instability of a system with randomly varying damping
Journal of Vibration and Control

MF Dimentberg, DV Iourtchenko and Arvid Næss
Coherence function of transverse random vibrations of a rotating shaft
Journal of Sound and Vibration

Oleg Gaidai and Arvid Næss
Non-linear Fatigue Analysis for Jacket Offshore Structures
Proceedings 25th International Conference on Offshore Mechanics and Arctic Engineering

Harald Hanche-Olsen
On the uniform convexity of L^p
Proceedings of the American Mathematical Society

Helge Holden and Fritz Gesztesy
Local conservation laws and the Hamiltonian formalism for the Toda hierarchy revisited
Skrifter

Helge Holden and Xavier Raynaud
Convergence of a finite difference scheme for the Camassa-Holm equation
SIAM Journal on Numerical Analysis

Helge Holden and Xavier Raynaud
A convergent numerical scheme for the Camassa-Holm equation based on multipeakons
Discrete and Continuous Dynamical Systems. Series A

Helge Holden, Kenneth Hvistendahl Karlsen and Giuseppe Maria Coclite
Global weak solutions to a generalized hyperelastic-rod wave equation
SIAM Journal on Mathematical Analysis

DV Iourtchenko, Eirik Mo and Arvid Næss
Response probability density functions of strongly non-linear systems by the path integration method
International Journal of Non-Linear Mechanics

Arieh Iserles and Syvert Paul Nørsett
Quadrature methods for multivariate highly oscillatory integrals using derivatives
Mathematics of Computation

A. Iserles and Syvert Paul Nørsett
On the computation of highly oscillatory multivariate integrals with stationary points
BIT Numerical Mathematics

Anna Ivanova and Arvid Næss
Estimation of failure probabilities of linear dynamic systems by importance sampling
Sādhanā (Bangalore)

Espen Robstad Jakobsen
On error bounds for monotone approximation schemes for multi-dimensional Isaacs equations
Asymptotic Analysis

Espen R. Jakobsen and Kenneth Hvistendahl Karlsen
A "maximum principle for semicontinuous functions" applicable to integro-partial differential equations
NoDEA. Nonlinear differential equations and applications (Printed ed.)

Juha Kinnunen and Peter Lindqvist
Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation
Annali di Matematica Pura ed Applicata

Peter Lindqvist and Bernd Kawohl
Positive eigenfunctions for the p-Laplace operator revisited
Analysis: International Mathematical Journal of Analysis and its Applications

Arvid Næss, Hans Christian Karlsen and Per Teigen
Numerical methods for calculating the crossing rate of high and extreme response levels of compliant offshore structures subjected to random waves
Applied Ocean Research

Brynjulf Owren
Order conditions for commutator-free Lie group methods
Journal of Physics A: Mathematical and General

Per Teigen, Oleg Gaidai and Arvid Næss
Springing Response Statistics of Tethered Platforms in Random Waves
Proceedings 25th International Conference on Offshore Mechanics and Arctic Engineering

Solomon C. Yim, Dongjun Yuk, Arvid Næss and I-Ming Shi
Stochastic Analysis of Nonlinear Response of a Moored Structural System Under Narrow-Band Excitations
Proceedings 25th International Conference on Offshore Mechanics and Arctic Engineering

Guy Barles and Espen Robstad Jakobsen
Error bounds for monotone approximation schemes for Hamilton-Jacobi-Bellman equations
SIAM Journal on Numerical Analysis

Håvard Berland, Brynjulf Owren and Bård Skaflestad
B-series and order conditions for exponential integrators
SIAM Journal on Numerical Analysis

Elena Celledoni and Niklas Sævstrøm
A symmetric splitting method for rigid body dynamics
SIMS 2005 46th Conference on Simulation and Modeling

GM Coclite, Helge Holden and KH Karlsen
Wellposedness for a parabolic-elliptic system
Discrete and Continuous Dynamical Systems. Series A

GM Coclite and Helge Holden
Stability of solutions of quasilinear parabolic equations
Journal of Mathematical Analysis and Applications

Markus Grasmair and Otmar Scherzer
Relaxation of nonlocal singular integrals
Numerical Functional Analysis and Optimization

Markus Grasmair, Frank Lenzen, Andreas Obereder, Otmar Scherzer and Matthias Fuchs
A non-convex PDE scale space
Lecture Notes in Computer Science (LNCS)

Helge Holden, Fritz Gesztesy and Jeffrey Geronimo
Algebro-geometric solutions of the Baxter-Szego difference equation
Communications in Mathematical Physics

Espen Robstad Jakobsen and Kenneth Hvistendahl Karlsen
Continuous dependence estimates for viscosity solutions of integro-PDEs
Journal of Differential Equations

Espen Robstad Jakobsen and Kenneth h. Karlsen
Convergence rates for semi-discrete splitting approximations fordegenerate parabolic equations with source terms
BIT Numerical Mathematics

Petri Juutinen and Peter Lindqvist
Removability of a level set for solutions of quasilinear equations
Communications in Partial Differential Equations

Hans Christian Karlsen and Arvid Næss
Statistical response predictions for a nonlinearly moored large volume structure in random seas
Applied Ocean Research

Peter Lindqvist and Petri Juutinen
On the higher eigenvalues for the infinity-eigenvalue problem
Calculus of Variations and Partial Differential Equations

Peter Lindqvist and Juha Kinnunen
Summability of semicontinuous supersolutions to a quasilinear parabolic equation
Annali della Scuola Normale Superiore di Pisa (Classe Scienze), Serie V

Arvid Næss and Torgeir Moan
Probabilistic Design of Offshore Structures
Handbook of Offshore Engineering - Vol. 1

Arvid Næss, Hans Christian Karlsen and Per Teigen
Accurate Numerical Methods for Calculating the Response Statistics of Compliant Offshore Structures
Proceedings 24th International Conference on Offshore Mechanics and Arctic Engineering

Syvert Paul Nørsett and A. Iserles
Efficient quadrature of highly oscillatory integrals using derivatives
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences

Andreas Sandvik, Erling Østby, Arvid Næss, Gudfinnur Sigurdsson and Christian Thaulow
Fracture Control - Offshore Pipelines: Probabilistic Fracture Assessment of Surface Cracked Ductile Pipelines Using Analytical Equations
Proceedings 24th International Conference on Offshore Mechanics and Arctic Engineering

Elena Celledoni and Simone Fiori
Neural Learning by Geometric Integration of Reduced 'Rigid Body' Equations
Journal of Computational and Applied Mathematics

Helge Holden, Fritz Gesztesy, Radu Cascaval and Yuri Latushkin
Spectral analysis of Darboux transformations for the focusing NLS hierarchy
Journal d'Analyse Mathematique

Espen Robstad Jakobsen
W-2,W-infinity regularizing effect in a nonlinear, degenerate parabolic equation in one space dimension
Proceedings of the American Mathematical Society

Espen Robstad Jakobsen
On error bounds for approximation schemes for non-convex degenerate<BR/>elliptic equations
BIT Numerical Mathematics

Petri Juutinen and Peter Lindqvist
A theorem of Rado&apos;s type for the solutions of a quasi-linear equation
Mathematical Research Letters

Anne Kværnø, Roman Kozlov and Brynjulf Owren
The behaviour of the local error in splitting methods applied to stiff problems
Journal of Computational Physics

Anne Kværnø
Singly Diagonally Implicit Runge�Kutta Methods with an Explicit First Stage
BIT Numerical Mathematics

Peter Lindqvist, Abdelouahed El Khalil and Abdelfattah Touzani
On the stability of the first eigenvalue of .....with varying p
Rendiconti di Matematica e delle sue Applicazioni. Serie VII

Arvid Næss and Hans Christian Karlsen
Numerical calculation of the level crossing rate of second order stochastic Volterra systems
Probabilistic Engineering Mechanics

Syvert Paul Nørsett and A. Iserles
On quadrature methods for highly oscillatort integrals and their implementation
BIT Numerical Mathematics

Fernando Casas and Brynjulf Owren
Cost Efficient Lie Group Integrators in the RKMK Class
BIT Numerical Mathematics

F Casas and Brynjulf Owren
Cost efficient Lie group integrators in the RKMK class
Applied Numerical Mathematics

Elena Celledoni and Brynjulf Owren
On the Implementation of Lie Group Methods on the Stiefel Manifold
Numerical Algorithms

Elena Celledoni, Arne Marthinsen and Brynjulf Owren
Commutator-free Lie group methods
Future generations computer systems

Elena Celledoni and Brynjulf Owren
Lie group methods for rigid body dynamics and time integration on manifolds
Computer Methods in Applied Mechanics and Engineering

Helge Holden, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro and Nils Henrik Risebro
On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic systems
Electronic Journal of Differential Equations

Helge Holden, Kenneth Hvistendahl Karlsen and Nils Henrik Risebro
On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations
Electronic Journal of Differential Equations

Helge Holden and Fritz Gesztesy
Algebro-geometric solutions of the Camassa-Holm hierarchy
Revista matemática iberoamericana

Helge Holden, Kenneth Hvistendahl Karlsen and Nils Henrik Risebro
On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations
Electronic Journal of Differential Equations

Espen Robstad Jakobsen
On the rate of convergence of approximation schemes for Bellman equations associated with optimal stopping time problems
Mathematical Models and Methods in Applied Sciences

Arvid Næss and Per Steinar Teigen
Extreme Response of Floating Structures in Combined Wind and Waves
Journal of Offshore Mechanics and Arctic Engineering

Guy Barles and Espen Robstad Jakobsen
On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations
Mathematical Modelling and Numerical Analysis

Elena Celledoni, Arieh Iserles, Syvert P. Nørsett and Bojan Orel
Complexity Theory for Lie-Group Solvers
Journal of Complexity

Elena Celledoni and Brynjulf Owren
A class of intrinsic schemes for orthogonal integration
SIAM Journal on Numerical Analysis

Helge Holden, Nils Henrik Risebro and Harald Hanche-Olsen
The Riemann problem for an elastic string with a linear Hooke's law
Quarterly of Applied Mathematics

Helge Holden and Fritz Gesztesy
Dubrovin equations and integrable systems on hyperelliptic curves
Mathematica Scandinavica

Espen Robstad Jakobsen and Kenneth Hvistendahl Karlsen
Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations
Electronic Journal of Differential Equations

Espen Robstad Jakobsen and Kenneth Hvistendahl Karlsen
Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations
Journal of Differential Equations

Trond Kvamsdal, Knut Morten Okstad and Shahriar Abtahi
EXTRUD: A Coupled Heat and Flow Solver for 3D Simulation of Aluminium Extrusion
International Journal of Applied Mechanics and Engineering

Peter Lindqvist
En determinantregel
Normat

Arvid Næss
Representation of the response process of quadratic filters subjected to Gaussian noise
Stochastic Analysis and Applications

Arvid Næss and Pål Harald Clausen
The Impact of Data Accuracy on the POT Estimates of Long Return Period Design Values
Journal of Offshore Mechanics and Arctic Engineering

Arvid Næss and Bjørnar Hungnes
Estimating Confidence Intervals of Long Return Period Design Values by Bootstrapping
Journal of Offshore Mechanics and Arctic Engineering

Elena Celledoni, Geir Johannessen and Trond Kvamsdal
Parallelisation of a CFD Code: The use of Aztec Library in the Parallel Numerical Simulation of Extrusion of Aluminium
Proceedings of the Parallel CFD conference, Trondheim 2000

Elena Celledoni and Arieh Iserles
Methods for the approximation of the matrix exponential in a Lie-algebraic setting
IMA Journal of Numerical Analysis

Elena Celledoni
A note on the numerical integration of the KdV equation via isospectral deformations
Journal of Physics A: Mathematical and General

Michael Günther, Anne Kværnø and Peter Rentrop
Multirate Partitioned Runge-Kutta Methods
BIT Numerical Mathematics

Espen Robstad Jakobsen, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro and Nils Henrik Risebro
On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms
SIAM Journal on Numerical Analysis

Espen R. Jakobsen, Kenneth Hvistendahl Karlsen and Nils Henrik Risebro
On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms
SIAM Journal on Numerical Analysis

Peter Lindqvist and Jaak Peetre
Two Remarkable Identities, Called Twos, for Inverses to Some Abelian Integrals
The American Mathematical Monthly

Peter Lindqvist, Petri Juutinen and Juan J. Manfredi
ON THE EQUIVALENCE OF VISCOSITY SOLUTIONS AND WEAK SOLUTIONS FOR A QUASI-LINEAR EQUATION
SIAM Journal on Mathematical Analysis

Arne Marthinsen and Brynjulf Owren
A note on the construction of Crouch-Grossman methods
BIT Numerical Mathematics

Arvid Næss
Combination of the Peaks-Over-Threshold and Bootstrapping methods for extreme value prediction
Structural Safety

Arvid Næss
Crossing rate statistics of quadratic transformations of Gaussian processes
Probabilistic Engineering Mechanics

Syvert Paul Nørsett, Arieh Iserles and A. F. Rasmussen
Time symmetry and high-order Magnus methods
Applied Numerical Mathematics

Brynjulf Owren
Quadrature methods based on the Cayley transform
Applied Numerical Mathematics

Brynjulf Owren and Arne Marthinsen
Integration methods based on canonical coordinates of the second kind
Numerische Mathematik

Elena Celledoni and Arieh Iserles
Approximating the matrix exponential from a Lie algebra to a Lie group
Mathematics of Computation

Steve Clark, Fritz Gesztesy, Helge Holden and Boris M. Levitan
Borg-type theorems for matrix-valued Schrödinger operators
Journal of Differential Equations

Fritz Gesztesy and Helge Holden
Darboux-type transformations and hyperelliptic curves
Journal für die Reine und Angewandte Mathematik

Fritz Gesztesy and Helge Holden
The classical boussinesq hierarchy revisited
Skrifter

Helge Holden, Kenneth Hvistendahl Karlsen and Knut-Andreas Lie
Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation
Computational Geosciences

Helge Holden and Bernt Øksendal
A white noise approach to stochastic Neumann boundary-value problems
Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications

Helge Holden, Kenneth Hvistendahl Karlsen and Knut-Andreas Lie
Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates
CMS Conference Proceedings Series

Zdzislaw Jackiewicz, Arne Marthinsen and Brynjulf Owren
Construction of Runge-Kutta methods of Crouch-Grossman type of high order
Advances in Computational Mathematics

Tero Kilpeläinen and Peter Lindqvist
Nonlinear ground states in irregular domains
Indiana University Mathematics Journal

Anne Kværnø and Ben Leimkuhler
A time-reversible, regularized, switching integrator for the N-body problem
SIAM Journal on Scientific Computing

Peter Lindqvist, Juan Manfredi and Eero Saksman
Superharmonicity of nonlinear ground states
Revista matemática iberoamericana

Arvid Næss and Johannes Øvrelid Røyset
Extensions of Turkstra's Rule and their Application to Combination of Dependent Load Effects
Structural Safety

Arvid Næss, Pål Harald Clausen and Rune Sandvik
Gust factors for locations downstream of steep mountain ridges
Journal of Wind Engineering and Industrial Aerodynamics

Arvid Næss and Vibeke Moe
Efficient path integration methods for nonlinear dynamic systems
Probabilistic Engineering Mechanics

Arvid Næss
Chaos and nonlinear stochastic dynamics
Probabilistic Engineering Mechanics

Syvert Paul Nørsett, Arieh Iserles, Hans Munthe-Kaas and A. Zanna
Lie-group methods
Acta Numerica

Brynjulf Owren and Bruno Welfert
The Newton Iteration on Lie Groups
BIT Numerical Mathematics

Runar Holdahl, Helge Holden and Knut Andreas Lie
Unconditionally stable splitting methods for the shallow water equations
BIT Numerical Mathematics

Runar Holdahl, Helge Holden and Knut-Andreas Lie
Unconditionally stable splitting methods for the shallow water equations
BIT Numerical Mathematics

Helge Holden and Bernt Øksendal
"A white noise approach to stochastic differential equations driven by Wiener and Poisson processes"
"Nonlinear Theory of Generalized Functions"

Helge Holden, Kenneth Hvistendahl Karlsen and Nils Henrik Risebro
Operator splitting methods for generalized Korteweg-De Vries equations
Journal of Computational Physics

Helge Holden, Kenneth Hvistendahl Karlsen and Nils Henrik Risebro
Operator splitting methods for generalized Korteweg-De Vries equations
Journal of Computational Physics

Helge Holden and Nils Henrik Risebro
Riemann problems with a kink
SIAM Journal on Mathematical Analysis

Helge Holden, Knut-Andreas Lie and N.H. Risebro
An Unconditionally Stable Method for the Euler Equations
Journal of Computational Physics

Helge Holden, Knut-Andreas Lie and Nils Henrik Risebro
An unconditionally stable method for the Euler equations
Journal of Computational Physics

Petri Juutinen, Peter Lindqvist and Juan Manfredi
The Infinity - Eigenvalue Problem
Archive for Rational Mechanics and Analysis

Kenneth Hvistendahl Karlsen, Helge Holden and Nils Henrik Risebro
Operator splitting for generalized KdV equations
Journal of Computational Physics

Hans Munthe-Kaas and Brynjulf Owren
Computations in a Free Lie Algebra
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Arvid Næss
Extreme Response of Nonlinear Structures with Low Damping Subjected to Stochastic Loading
Journal of Offshore Mechanics and Arctic Engineering

Arvid Næss and Per Teigen
Stochastic Response Analysis of Deepwater Structures in Short Crested Random Seas
Journal of Offshore Mechanics and Arctic Engineering

Syvert Paul Nørsett, Arieh Iserles and Arne Marthinsen
On the implementation of the method of Magnus series for linear differential equations
BIT Numerical Mathematics

Knut Morten Okstad and Trond Kvamsdal
Superconvergent Patch Recovery for Plate Problems using Statically Admissible Stress Resultant Fields
International Journal for Numerical Methods in Engineering

Knut Morten Okstad and Trond Kvamsdal
Object-Oriented Programming in Field Recovery and Error Estimation
Engineering with Computers

Brynjulf Owren and Arne Marthinsen
Runge-Kutta methods adapted to manifolds and based on rigid frames
BIT Numerical Mathematics

Kyrre Bratvedt, Erik Bølviken, Tore Gimse, Helge Holden, Lars Holden and Ragnar Knarud
Comment on Special Issue on Geostatistics with Guest Editor A. G. Journel
Mathematical Geology

Elena Celledoni
Discrete QMR and BCG in the numerical solution od linear systems of ODEs
Journal of Computational and Applied Mathematics

Kersti Ekeland, Brynjulf Owren and Eivor Øines
Stiffness detection and estimation of dominant spectra with explicit Runge-Kutta methods
ACM Transactions on Mathematical Software

Zdzislaw Jackiewicz, Brynjulf Owren and Bruno D. Welfert
Pseudospectra of waveform relaxation operators
Computers and Mathematics with Applications

Juha Kinnunen and Peter Lindqvist
The derivative of the maximal function
Journal für die Reine und Angewandte Mathematik

Trond Kvamsdal and Knut Morten Okstad
Error Estimation based on Superconvergent Patch Recovery using Statically Admissible Stress Fields
International Journal for Numerical Methods in Engineering

Peter Lindqvist and Kristian Seip
Note on some greatest common divisor matrices
Acta Arithmetica

Arvid Næss
The load effect combination problem for the linear and quadratic springing response of a LTP
Risk and reliability in marine technology

Arvid Næss
Statistical extrapolation of extreme value data based on the peaks over treshold method
Journal of Offshore Mechanics and Arctic Engineering

Arvid Næss
Estimation of long return period design values for wind speeds
Journal of Engineering Mechanics

Elena Celledoni
Metodi di Krylov per sistemi lineari di equazioni differenziali ordinarie
Doctoral Dissertation

Elena Celledoni and Igor Moret
A Krylov projection method for systems of ODEs
Applied Numerical Mathematics

Kari Hag and Peter Lindqvist
Elizabeth Stephansen : a pioneer
Skrifter

Håkan Hedenmalm, Peter Lindqvist and Kristian Seip
A Hilbert space of Dirichlet series and systems of dilated functions in L%2(0,1)
Duke mathematical journal

Helge Holden and N.H. Risebro
Conservation laws with a random source
Applied Mathematics and Optimization

Peter Lindqvist and Jaak Peetre
On the remainder in a series of Mertens
Expositiones mathematicae

Peter Lindqvist and Jaak Peetre
Erik Lundberg och de hypergoniometriska funktionerna
Normat

Arne Marthinsen, Arne Marthinsen, Hans Munthe-Kaas, Hans Munthe-Kaas and Brynjulf Owren
Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications
MIC Journal: Modeling, Identification and Control

Arvid Næss
Clumping effect approximations for narrow-band random vibration
Uncertainty modeling in vibration, control and fuzzy analys is of structural systems

Arvid Næss and A.A. Pisano
Frequency domain analysis of dynamic response of drag dominated offshore structures
Applied Ocean Research

Arvid Næss
A state of the art report on computational stochastic mechanics. Section 3.2, Path integral methods
Probabilistic Engineering Mechanics

Arvid Næss, L.J. Høegh Krohn and A.A. Pisano
An alternative stochastic representation of drag forces on offshore structures for dynamic analyses
Journal of Offshore Mechanics and Arctic Engineering

Syvert Paul Nørsett and Arieh Iserles
Biorthogonal polynomials and zero-mapping transformations
Computers and Mathematics with Applications

Syvert Paul Nørsett, Anne Kværnø and Brynjulf Owren
Runge-Kutta research in Trondheim
Applied Numerical Mathematics

Syvert Paul Nørsett, Anne Kværnø and Ken R. Jackson
An Analysis of the order of Runge-Kutta methods that use an iterative scheme to compute their internal stage values
BIT Numerical Mathematics

Syvert Paul Nørsett, K. Burrage, Z. Jackiewicz and R.A. Renaut
Preconditioning waveform relaxatoion iterations for differential systems
BIT Numerical Mathematics

Syvert Paul Nørsett
Dual-orthogonal polynomials
Numerical Algorithms

Helge Holden, Nils Henrik Risebro and Aslak Tveito
Maximum principles for a class of conservation laws
SIAM Journal on Applied Mathematics

Arvid Næss
Prediction of extreme response of nonlinear structures by extended stochastic linearization
Probabilistic Engineering Mechanics

Syvert Paul Nørsett and Arieh Iserles
Explicit representations of biorthogonal polynomials
Numerical Algorithms

Syvert Paul Nørsett and Ken R. Jackson
The potential for parallelism in Runge-Kutta methods. Part 1: RK Formulas in standard form
SIAM Journal on Numerical Analysis

Frode Bratvedt, Kyrre Bratvedt, Christian Buchholz, Tore Gimse, Helge Holden, Lars Holden, Rudi Olufsen and Nils Henrik Risebro
Three-dimensional reservoir simulation based on front tracking
North Sea Oil & Gas Reservoirs - III

Helge Holden
The Burgers equation with a noisy force and the stochastic heat equation
Communications in Partial Differential Equations

Peter Lindqvist
Vad kan man h@øra - en aktuell fråga om egenv@ærden
Normat

Arvid Næss
Statistics of combined linear and quadratic springing response of a TLP in random waves
Journal of Offshore Mechanics and Arctic Engineering

Arvid Næss
Prediction of extreme response of nonlinear oscillators subjected to random loading using the path integral solution technique
Journal of research of the National Institute of Standards and Technology

Syvert Paul Nørsett, Ken R. Jackson and Anne Kværnø
The use of Butcher series in the analysis of Newton-like iterations in Runge-Kutta formulas
Applied Numerical Mathematics

Martin Landrø, Gitta Zaalberg-Metselaar, Brynjulf Owren and Svein Vaage
Modeling of water-gun signatures
Geophysics

Peter Lindqvist
Global integrability and degenerate quasilinear elliptic equations
Journal d'Analyse Mathematique

Paul Muir and Brynjulf Owren
Order Barriers and characterizations for continuous mono-implicit Runge-Kutta schemes
Mathematics of Computation

Jan Ubøe, Helge Holden, Tom Louis Lindstrøm, Bernt Øksendal and Tusheng Zhang
Stochastic boundary value problems. A white noise functional approach
Probability theory and related fields

Frode Bratvedt, Kyrre Bratvedt, Christian Buchholz, Helge Holden, Lars Holden and Nils Henrik Risebro
A new front-tracking method for reservoir simulation, SPE 19805-PA
SPE Reservoir Evaluation and Engineering

Helge Holden and Lars Holden
On scalar conservation laws in one-dimension
Ideas and methods in mathematical analysis, stochastics and applications

Arvid Næss
Second-order, sum-frequency response statistics of tethered platforms in random waves
Applied Ocean Research

Syvert Paul Nørsett and Arieh Iserles
Parallel Runge-Kutta methods
Computational Ordinary Differential Equations

Tatsuhiro Okada, Signe Kjelstrup Ratkje and Harald Hanche-Olsen
Water Transport in Cation Exchange Membranes
Journal of Membrane Science

Syvert Paul Nørsett, Arieh Iserles, P. E. Koch and J. M. Sanz-Serna
On polynomials orthogonal with respect to certain Sobolev inner products
Journal of Approximation Theory

Syvert Paul Nørsett, Arieh Iserles and E. B. Saff
On transformations and zeroes of polynomials
Rocky Mountain Journal of Mathematics

Brynjulf Owren and Marino Zennaro
Order barriers for continuous explicit Runge-Kutta methods
Mathematics of Computation

Brynjulf Owren and Kristian Seip
A uniqueness result related to the stability of explicit Runge-Kutta methods
BIT Numerical Mathematics

Syvert Paul Nørsett and Arieh Iserles
On the theory of parallel Runge-Kutta methods
SIAM Journal on Numerical Analysis

Syvert Paul Nørsett and Arieh Iserles
Zeros of transformed polynomials
SIAM Journal on Mathematical Analysis

Brynjulf Owren and Kristian Seip
Some stability results for explicit Runge-Kutta methods
BIT Numerical Mathematics

Helge Holden and Lars Holden
On the Riemann problem for a prototype of a mixed type conservation law II
Contemporary Mathematics

Syvert Paul Nørsett and Ivar Lie
Superconvergence for multistep collocation
Mathematics of Computation

Syvert Paul Nørsett and Arieh Iserles
Christoffel-Darboux-type formulas and a recurrence for biorthogonal polynomials
Constructive approximation

Syvert Paul Nørsett and Arieh Iserles
Order stars and rational approximants to $\exp(z)$
Applied Numerical Mathematics

Helge Holden, Lars Holden and Raphael Høegh-Krohn
A numerical method for first order nonlinear scalar hyperbolic conservation laws in one dimension
Computers and Mathematics with Applications

Syvert Paul Nørsett, Ken R. Jackson, P. G. Thomsen and W. H. Enright
Effective solution of discontinuous IVP's using a Runge-Kutta formula pair with interpolants
Applied Mathematics and Computation

Syvert Paul Nørsett and Arieh Iserles
On the theory of bi-orthogonal polynomials
Transactions of the American Mathematical Society

Syvert Paul Nørsett
Aspects of parallel Runge-Kutta methods
Lecture notes in mathematics

Syvert Paul Nørsett and Arieh Iserles
Bi-orthogonality and zeroes of transformed polynomials
Journal of Computational and Applied Mathematics

Syvert Paul Nørsett and Arieh Iserles
Two-step methods and bi-orthogonality
Mathematics of Computation

Syvert Paul Nørsett
Exponential fitting of restricted rational approximation to the exponential function
Rational Approximation and Interpolation

Syvert Paul Nørsett and P. G. Thomsen
Local error control in SDIRK
BIT Numerical Mathematics

Syvert Paul Nørsett, P. G. Thomsen, W. H. Enright and K. R. Jackson
Interpolants for Runge-Kutta formulas
ACM Transactions on Mathematical Software

Syvert Paul Nørsett and Arieh Iserles
Error control of rational approximations to the exponential function
Constructive approximation

Syvert Paul Nørsett and P. G. Thomsen
Switching between modified Newton and fix-point iteration for implicit ODE-solvers
BIT Numerical Mathematics

Syvert Paul Nørsett and S. R. Trickett
Order-constrained uniform approximations to the exponential based on estricted rationals
Constructive approximation

Syvert Paul Nørsett and Arieh Iserles
Bi-orthogonal polynomials
Lecture notes in mathematics

Syvert Paul Nørsett, N. Houbak and P. G. Thomsen
Displacement or residual test in the application of implicit methods for stiff problems
SIAM Journal on Numerical Analysis

Syvert Paul Nørsett, Ernst Hairer and Arieh Iserles
Rational approximations to the exponential function with two complex conjugate interpolation points
SIAM Journal on Mathematical Analysis

Syvert Paul Nørsett
The numerical solution of differential and differential/algebraic systems
Proceedings of the IASTED International Conference on Modelling, Identification, and Control (MIC)

Syvert Paul Nørsett and Arieh Iserles
A-acceptability of derivatives of rational approximations to $\exp(z)$
Journal of Approximation Theory

Harald Hanche-Olsen and Uffe Haagerup
Tomita–Takesaki Theory for Jordan Algebras
Journal of operator theory

Syvert Paul Nørsett
Splines and collocation for ordinary initial value problems
Approximation Theory and Spline Functions

Syvert Paul Nørsett and P. G. Thomsen
Embedded SDIRK-methods of basic order three
BIT Numerical Mathematics

Harald Hanche-Olsen
On the Structure and Tensor Products of JC-Algebras
Canadian Journal of Mathematics (CJM)

Syvert Paul Nørsett and Arieh Iserles
Frequency fitting of rational approximations to the exponential function
Mathematics of Computation

Syvert Paul Nørsett, Ernst Hairer and Christian Lubich
Order of convergence of one-step methods for Volterra integral equations of the second kind
SIAM Journal on Numerical Analysis

Harald Hanche-Olsen
Split Faces and Ideal Structure of Operator Algebras
Mathematica Scandinavica

Syvert Paul Nørsett
Superconvergence of collocation methods for Volterra and Abel equations of the second kind
Journal of Numerical Mathematics

Syvert Paul Nørsett and Gerhard Wanner
Perturbed collocation and Runge--Kutta methods
Journal of Numerical Mathematics

Erik Alfsen, Harald Hanche-Olsen and Frederic W Shultz
State Spaces of C*-Algebras
Acta Mathematica

Harald Hanche-Olsen
A Note on the Bidual of a JB-Algebra
Mathematische Zeitschrift

David E. Evans and Harald Hanche-Olsen
The Generators of Positive Semigroups
Journal of Functional Analysis

Syvert Paul Nørsett
Collocation and perturbed collocation methods
Lecture notes in mathematics

Syvert Paul Nørsett and Arne Wolbrandt
Order conditions for Rosenbrock type methods
Journal of Numerical Mathematics

Syvert Paul Nørsett and Gerhard Wanner
The real-pole sandwich for rational approximations and oscillation equations
BIT Numerical Mathematics

Syvert Paul Nørsett, Ernst Hairer and Gerhard Wanner
Order stars and stability theorems
BIT Numerical Mathematics

Syvert Paul Nørsett
Restricted Padé approximations to the exponential function
SIAM Journal on Numerical Analysis

Syvert Paul Nørsett and Wolbrandt Arne
Attainable order of rational approximations to the exponential function with real poles
BIT Numerical Mathematics

Syvert Paul Nørsett
Runge--Kutta methods with a multiple real eigenvalue only
BIT Numerical Mathematics

Syvert Paul Nørsett
A note on local Galerkin and collocation methods for ordinary differential equations
Utilitas mathematica

Syvert Paul Nørsett
C-polynomials for rational approximation to the exponential function
Journal of Numerical Mathematics

Syvert Paul Nørsett
One-step methods of Hermite type for numerical integration of stiff systems
BIT Numerical Mathematics

Syvert Paul Nørsett
A-stable modification of the Adams-Bashforth methods
Lecture notes in mathematics

Syvert Paul Nørsett
A criterion for A(\alpha)-stability of linear multistep method
BIT Numerical Mathematics