Publications (DNA)

Publications

2020

John Inge Asperheim, Prerana Das, Björnar Grande, Dietmar Josef Hömberg and Thomas Petzold
Three-dimensional numerical study of heat-affected zone in induction welding of tubes
Compel

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

Erik Burman, Mats Larson, Peter Hansbo 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

Marine Collignon, Øystein Strengehagen Klemetsdal, Olav Møyner, Marion Alcanié, Antonio Pio Rinaldi, Halvor Møll Nilsen and Matteo Lupi
Evaluating thermal losses and storage capacity in high-temperature aquifer thermal energy storage (HT-ATES) systems with well operating limits: insights from a study-case in the Greater Geneva Basin, Switzerland
Geothermics

Håvard Heitlo Holm, André R. Brodtkorb and Martin Lilleeng Sætra
GPU Computing with Python: Performance, Energy Efficiency and Usability
Computation

Håvard Heitlo Holm, André R. Brodtkorb, Gøran Brostrøm, Kai Håkon Christensen and Martin Lilleeng Sætra
Evaluation of selected finite-difference and finite-volume approaches to rotational shallow-water flow
Communications in Computational Physics

Håvard Heitlo Holm, André R. Brodtkorb and Martin Lilleeng Sætra
Performance and Energy Efficiency of CUDA and OpenCL for GPU Computing using Python
Advances in Parallel Computing

Øystein Strengehagen Klemetsdal and Knut-Andreas Lie
Dynamic Coarsening and Local Reordered Nonlinear Solvers for Simulating Transport in Porous Media
SPE Journal

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

2019

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

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

Mathias Nikolai Arnesen
Non-uniform dependence on initial data for equations of Whitham type
Advances in Differential Equations

Moncorgé Arthur, Olav Møyner, Hamdi Tchelepi and Patrick Jenny
Consistent upwinding for sequential fully implicit multiscale compositional simulation
Computational Geosciences

James Benn, Stephen Marsland, Robert I. McKachlan, Klas Modin and Olivier Verdier
Currents and finite elements as tools for shape space
Journal of Mathematical Imaging and Vision

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

Geir Bogfjellmo
Algebraic structure of aromatic B-series
Journal of Computational Dynamics

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

Massimo Carraturo, Elisabetta Rocca, Elena Bonetti, Dietmar Josef Hömberg, Alessandro Reali and Ferdinando Auricchio
Graded-material design based on phase-field and topology optimization
Computational Mechanics

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

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)

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

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 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

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
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

Sølve Eidnes, Lu Li and Shun Sato
Linearly implicit structure-preserving schemes for Hamiltonian systems
Journal of Computational and Applied Mathematics

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

Alexandre Nicolas Guion, Bård Skaflestad, Knut-Andreas Lie and Xiao-Hui Wu
Validation of a non-uniform coarsening and upscaling framework
SPE Reservoir Simulation Conference, 10-11 April, Galveston, Texas, USA

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

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

Dietmar Josef Hömberg, Klaus Krumbiegel and Nataliya Togobytska
Optimal control of multiphase steel production
Journal of Mathematics in Industry

Fredrik Arbo Høeg and Eero Ruosteenoja
A control problem related to the parabolic dominative p-Laplace equation
Nonlinear Analysis

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 Klemetsdal, Olav Møyner and Knut-Andreas Lie
Robust nonlinear Newton solver with adaptive interface-localized trust regions
SPE Journal

Øystein Klemetsdal, Olav Møyner and Knut-Andreas Lie
Implicit high-resolution compositional simulation with optimal ordering of unknowns and adaptive spatial refinement.
SPE Reservoir Simulation Conference, 10-11 April, Galveston, Texas, USA

Øystein Klemetsdal, Olav Møyner and Knut-Andreas Lie
Accelerating multiscale simulation of complex geomodels by use of dynamically adapted basis functions
Computational Geosciences

Øystein Strengehagen Klemetsdal, Atgeirr Flø Rasmussen, Olav Møyner and Knut-Andreas Lie
Efficient reordered nonlinear Gauss–Seidel solvers with higher order for black-oil models
Computational Geosciences

Øystein Klemetsdal, Olav Møyner and Knut-Andreas Lie
Robust Nonlinear Newton Solver With Adaptive Interface-Localized Trust Regions
SPE Journal

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

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

Knut-Andreas Lie, Trine Solberg Mykkeltvedt and Olav Møyner
A fully implicit WENO scheme on stratigraphic and unstructured polyhedral grids
Computational Geosciences

Knut-Andreas Lie
Executive summary
SPE Journal

Knut-Andreas Lie
Executive summary
SPE Journal

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

Hassan Ali Marefat, Muhammad A Ashjari Aghdam and Knut-Andreas Lie
Preserving vorticity improves the accuracy of multiscale solvers
Journal of Petroleum Science and Engineering

Robert I. McLachlan, Christian Offen and Benjamin Tapley
Symplectic integration of PDEs using Clebsch variables
Journal of Computational Dynamics

Olav Møyner and A Moncorge
Nonlinear domain decomposition scheme for sequential fully implicit formulation of compositional multiphase flow
Computational Geosciences

Dag Viktor Nilsson and Yuexun Wang
Solitary wave solutions to a class of Whitham?Boussinesq systems
Zeitschrift für Angewandte Mathematik und Physik

Dag Viktor Nilsson
Three-dimensional internal gravity-capillary waves in finite depth
Mathematical methods in the applied sciences

Morten Andreas Nome and Tor Sørevik
Discrete fourier analysis on lattice grids
Lecture Notes in Computer Science (LNCS)

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

Ozan Oktem, Camille Pouchol and Olivier Verdier
Spatiotemporal PET Reconstruction Using ML-EM with Learned Diffeomorphic Deformation
Lecture Notes in Computer Science (LNCS)

Adrian Montgomery Ruf, Espen Sande and Susanne Solem
The Optimal Convergence Rate of Monotone Schemes for Conservation Laws in the Wasserstein Distance
Journal of Scientific Computing

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

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

Susanne Solem
Convergence and convergence rates of numerical methods for conservation laws
Doctoral Dissertation

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

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

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

2018

Rebecca Allen, Halvor Møll Nilsen, Knut-Andreas Lie, Olav Møyner and Odd Andersen
Using simplified methods to explore the impact of parameter uncertainty on CO2 storage estimates with application to the Norwegian Continental Shelf
International Journal of Greenhouse Gas Control

Runar Lie Berge, Øystein Klemetsdal and Knut-Andreas Lie
Unstructured Voronoi grids conforming to lower-dimensional objects
Computational Geosciences

Geir Bogfjellmo, Klas Modin and Olivier Verdier
A Numerical Algorithm for C2-splines on Symmetric Spaces
SIAM Journal on Numerical Analysis

Geir Bogfjellmo and Alexander Schmeding
The geometry of characters of hopf algebras
Abel Symposia

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

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

Vincent Duchene, Dag Viktor Nilsson and Erik Wahlén
Solitary wave solutions to a class of modified Green-Naghdi systems
Journal of Mathematical Fluid Mechanics

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

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

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

Dietmar Josef Hömberg, Shuai Lu and Masahiro Yamamoto
Uniqueness for an inverse problem for a nonlinear parabolic system with an integral term by one-point Dirichlet data
Journal of Differential Equations

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.)

Øystein Klemetsdal, Atgeirr Flø Rasmussen, Olav Møyner and Knut-Andreas Lie
Nonlinear Gauss-Seidel solvers with higher order for black-oil models
ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain

Øystein Klemetsdal, Olav Møyner and Knut-Andreas Lie
Use of dynamically adapted basis functions to accelerate multiscale simulation of complex geomodels
ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain

Knut-Andreas Lie
Executive summary
SPE Journal

Knut-Andreas Lie
On Holden's seven guidelines for scientific computing and development of open-source community software
Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume

Knut-Andreas Lie
Executive summary
SPE Journal

Knut-Andreas Lie, Trine Solberg Mykkeltvedt and Olav Møyner
Fully implicit WENO schemes on stratigraphic and fully unstructured grids
ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain

Knut-Andreas Lie
Executive summary
SPE Journal

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

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

Olav Møyner and Halvor Møll Nilsen
Multiresolution coupled vertical equilibrium model for fast flexible simulation of CO2 storage
Computational Geosciences

Olav Møyner and Hamdi Tchelepi
A Mass-Conservative Sequential Implicit Multiscale Method for General Compositional Problems
SPE Journal

Olav Møyner and Moncorgé Arthur
Nonlinear Domain Decomposition Scheme for Sequential Fully Implicit Formulation of Compositional Multiphase Flow
ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain

Olav Møyner, Odd Andersen and Halvor Møll Nilsen
Multi-Model Hybrid Compositional Simulator with Application to Segregated flow
ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain

Dag Viktor Nilsson and Mark D Groves
Spatial Dynamics Methods for Solitary Waves on a Ferrofluid Jet
Journal of Mathematical Fluid Mechanics

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

Susanne Solem
Convergence Rates of the Front Tracking Method for Conservation Laws in the Wasserstein Distances
SIAM Journal on Numerical Analysis

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

Raymond Toft, Knut-Andreas Lie and Olav Møyner
Full Approximation Scheme for Reservoir Simulation
NIK: Norsk Informatikkonferanse

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

Olivier Verdier
Extension of matrix pencil reduction to abelian categories
Journal of Algebra and its Applications

Olivier Verdier
Full affine equivariance and weak natural transformations in numerical analysis - the case of B-Series
Springer Proceedings in Mathematics & statistics

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

Masoud Ghaderi Zefreh, Halvor Møll Nilsen, Knut-Andreas Lie, Xavier Raynaud and Florian Doster
Streamline simulation of a reactive advective flow with discontinuous flux function
Computational Geosciences

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

2017

Rebecca Allen, Halvor Møll Nilsen, Odd Andersen and Knut-Andreas Lie
On obtaining optimal well rates and placement for CO2 storage
Computational Geosciences

Rebecca Allen, Halvor Møll Nilsen, Odd Andersen and Knut-Andreas Lie
Ranking and categorizing large-scale saline aquifer formations based on optimized CO2 storage potentials and economic factors
International Journal of Greenhouse Gas Control

Odd Andersen, Halvor Møll Nilsen and Xavier Raynaud
Virtual element method for geomechanical simulations of reservoir models
Computational Geosciences

Odd Andersen, Halvor Møll Nilsen and Xavier Raynaud
Coupled geomechanics and flow simulation on corner-point and polyhedral grids
SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA

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

Kai Bao, Knut-Andreas Lie, Olav Møyner and Ming Liu
Fully implicit simulation of polymer flooding with MRST
Computational Geosciences

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

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 and Alexander Schmeding
The Lie Group Structure of the Butcher Group
Foundations of Computational Mathematics

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

Karl Kristian Brustad
Superposition in the p-Laplace equation
Nonlinear Analysis

Karl Kristian Brustad
Superposition of p-superharmonic functions
Advances in Calculus of Variations

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

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

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
Journal of Geometry and Physics

Kurusch Ebrahimi-Fard, Frederic Fauvet and Dominique Manchon
Journal of Algebra

Kurusch Ebrahimi-Fard and Steven Gray
International mathematics research notices

Kurusch Ebrahimi-Fard, Frederic Patras and Roland Speicher
International mathematics research notices

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

Sølve Eidnes and Torbjørn Ringholm
Energy preserving moving mesh methods applied to the BBM equation
MekIT’17 - Ninth national conference on Computational Mechanics

Mohammed Hassan Farshbaf Shaker, Rene Henrion and Dietmar Josef Hömberg
Chance constraints in PDE constrained optimization
Set-Valued and Variational Analysis

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

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

Håvard Heitlo Holm, Volkan Gezer, Setia Hermawati, Christian Altenhofen and Jon M. Hjelmervik
The CloudFlow Infrastructure for Multi-Vendor Engineering Workflows: Concept and Validation
International Journal On Advances in Internet Technology

Dietmar Josef Hömberg, Francresco Saverio Patacchini, Kenichi Sakamoto and Johannes Zimmer
Revisited Johnson-Mehl-Avrami-Kolmogorov model and the evolution of grain-size distributions in steel
IMA Journal of Applied Mathematics

Dietmar Josef Hömberg, Francresco Saverio Patacchini and Kenichi Sakamoto
A revisited Johnson--Mehl--Avrami--Kolmogorov model and the evolution of grain-size distributions in steel
IMA Journal of Applied Mathematics

Henrik Kalisch, Daulet Moldabayev and Olivier Verdier
A numerical study of nonlinear dispersive wave models with spectravvave
Electronic Journal of Differential Equations

Øystein Klemetsdal, Runar Lie Berge, Knut-Andreas Lie, Halvor Møll Nilsen and Olav Møyner
Unstructured Gridding and Consistent Discretizations for Reservoirs with Faults and Complex Wells
SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA

Øystein Klemetsdal, Olav Møyner and Knut-Andreas Lie
Non-linear Newton Solver for a Polymer Two-phase System Using Interface-localized Trust Regions
19th European Symposium on Improved Oil Recovery/IOR Norway 2017

Stein Krogstad, Knut-Andreas Lie, Halvor Møll Nilsen, Carl Fredrik Berg and Vegard Kippe
Efficient flow diagnostics proxies for polymer flooding
Computational Geosciences

Knut-Andreas Lie, Olav Møyner and Jostein Roald Natvig
A Feature-Enriched Multiscale Method for Simulating Complex Geomodels
SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA

Knut-Andreas Lie, Kushal Kedia, Bård Skaflestad, Xioachen Wang, Yahan Yang, Xiao-Hui Wu and Nazish Hoda
A General Non-Uniform Coarsening and Upscaling Framework for Reduced-Order Modeling
SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA

Knut-Andreas Lie, Olav Møyner, Jostein Roald Natvig, Antonina Kozlova, Kyrre Bratvedt, Shingo Watanabe and Zhuoyi Li
Successful application of multiscale methods in a real reservoir simulator environment
Computational Geosciences

Knut-Andreas Lie
Executive summary
SPE Journal

Knut-Andreas Lie, Olav Møyner and Jostein Roald Natvig
Use of multiple multiscale operators to accelerate simulation of complex geomodels
SPE Journal

Knut-Andreas Lie
Executive summary
SPE Journal

Knut-Andreas Lie
Executive summary
SPE Journal

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

Robert I. McLachlan, Klas Modin and Olivier Verdier
A minimal-variable symplectic integrator on spheres
Mathematics of Computation

Trine Solberg Mykkeltvedt, Xavier Raynaud and Knut-Andreas Lie
Fully implicit higher-order schemes applied to polymer flooding
Computational Geosciences

Olav Møyner and Hamdi Tchelepi
A Multiscale Restriction-Smoothed Basis Method for Compositional Models
SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA

Olav Møyner
Nonlinear Solver for Three-Phase Transport Problems Based on Approximate Trust Regions
Computational Geosciences

Halvor Møll Nilsen, Idar Larsen and Xavier Raynaud
Combining the modified discrete element method with the virtual element method for fracturing of porous media
Computational Geosciences

Halvor Møll Nilsen, Jan Martin Nordbotten and Xavier Raynaud
Comparison between cell-centered and nodal-based discretization schemes for linear elasticity
Computational Geosciences

Dag Viktor Nilsson
Internal gravity–capillary solitary waves in finite depth
Mathematical methods in the applied sciences

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

Jeffrey Shragge and Benjamin Tapley
Solving the Tensorial 3D Acoustic Wave Equation: A Mimetic Finite-Difference Time-Domain Approach
Geophysics

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

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

Susanne Solem and Steinar Evje
Relaxation limit of a compressible gas–liquid model with well–reservoir interaction
Zeitschrift für Angewandte Mathematik und Physik

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

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

2016

Rebecca Allen, Halvor Møll Nilsen, Odd Andersen and Knut-Andreas Lie
On Obtaining Optimal Well Rates and Placement for CO2 Storage
ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016

Mathias Nikolai Arnesen
Existence of solitary-wave solutions to nonlocal equations
Discrete and Continuous Dynamical Systems. Series A

Kai Bao, Knut-Andreas Lie, Olav Møyner and Ming Liu
Fully Implicit Simulation of Polymer Flooding with MRST
ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016

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

Geir Bogfjellmo and Håkon Marthinsen
High-Order Symplectic Partitioned Lie Group Methods
Foundations of Computational Mathematics

Geir Bogfjellmo and Alexander Schmeding
The tame Butcher group
Journal of Lie theory

Geir Bogfjellmo, Rafael Dahmen and Alexander Schmeding
Character groups of Hopf algebras as infinite-dimensional Lie groups
Annales de l'Institut Fourier

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

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

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

David Cohen and Olivier Verdier
Multisymplectic discretization of wave map equations
SIAM Journal on Scientific Computing

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
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

Ulrik Skre Fjordholm and Susanne Solem
Second-order convergence of monotone schemes for conservation laws
SIAM Journal on Numerical Analysis

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

Yukun Guo, Dietmar Josef Hömberg, Guanghui Hu, Jingzhi Li and Hongyu Liu
A time domain sampling method for inverse acoustic scattering problems
Journal of Computational Physics

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

Sindre Tonning Hilden, Olav Møyner, Knut-Andreas Lie and Kai Bao
Multiscale simulation of polymer flooding with shear effects
Transport in Porous Media

Sindre Tonning Hilden, Halvor Møll Nilsen and Xavier Raynaud
Study of the Well-Posedness of Models for the Inaccessible Pore Volume in Polymer Flooding
Transport in Porous Media

Håvard Heitlo Holm, Jon M. Hjelmervik and Volkan Gezer
CloudFlow - An Infrastructure for Engineering Workflows in the Cloud
UBICOMM 2016 The Tenth International Conference on Mobile Ubiquitous Computing, Systems, Services and Technologies, October 9 - 13, 2016 Venice, Italy

Dietmar Josef Hömberg, Qingzhe Liu, Jonathan Montalvo-Urquizo, Dawid Nadolski, Thomas Petzold, Alfred Schmidt and Alwin Schulz
Simulation of multi-frequency-induction-hardening including phase transitions and mechanical effects
Finite elements in analysis and design

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)

Stein Krogstad, Xavier Raynaud and Halvor Møll Nilsen
Reservoir management optimization using well-specific upscaling and control switching
Computational Geosciences

Stein Krogstad, Knut-Andreas Lie, Halvor Møll Nilsen, Carl Fredrik Berg and Vegard Kippe
Flow diagnostics for optimal polymer injection strategies
ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016

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

Knut-Andreas Lie
SPE Journal

Knut-Andreas Lie
Executive summary
SPE Journal

Knut-Andreas Lie, Trine Solberg Mykkeltvedt and Xavier Raynaud
Fully Implicit Higher-order Schemes Applied to Polymer Flooding
ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016

Knut-Andreas Lie, Olav Møyner, Jostein Roald Natvig, Kozlova Antonina, Kyrre Bratvedt, S Watanabe and Z Li
Successful Application of Multiscale Methods in a Real Reservoir Simulator Environment
ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016

Knut-Andreas Lie
Executive summary
SPE Journal

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

Robert I. McLachlan, Klas Modin and Olivier Verdier
Geometry of discrete-time spin systems
Journal of nonlinear science

Robert I. McLachlan, Klas Modin and Olivier Verdier
Symmetry reduction for central force problems
European journal of physics

Hans Munthe-Kaas and Olivier Verdier
Integrators on homogeneous spaces: Isotropy choice and connections
Foundations of Computational Mathematics

Olav Møyner and Knut-Andreas Lie
A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids
Journal of Computational Physics

Olav Møyner and Knut-Andreas Lie
A multiscale restriction-smoothed basis method for compressible black-oil models
SPE Journal

Olav Møyner
Nonlinear Solver for Three-phase Transport Problems Based on Approximate Trust Regions
ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016

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

Halvor Møll Nilsen, Xavier Raynaud and Idar Larsen
Combining the Modified Discrete Element Method with the Virtual Element Method for Fracturing of Porous Media
ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016

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

Xavier Raynaud, Knut-Andreas Lie, Halvor Møll Nilsen and Atgeirr Flø Rasmussen
The single-cell transport problem for two-phase flow with polymer
Computational Geosciences

Xavier Raynaud, Halvor Møll Nilsen and Odd Andersen
Virtual Element Method for Geomechanical Simulations of Reservoir Models
ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016

Swej Shah, Olav Møyner, Matei Tene, Knut-Andreas Lie and Hadi Hajibeygi
The multiscale restriction smoothed basis method for fractured porous media (F-MsRSB)
Journal of Computational Physics

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

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

Tor Sørevik and Morten Nome
Trigonometric interpolation on lattice grids
BIT Numerical Mathematics

Olivier Verdier, Huiyan Xue and Antonella Zanna
A classification of volume preserving generating forms in R^3
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

2015

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

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)

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

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

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

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

Dietmar Josef Homberg, Thomas Petzold and Elisabetta Rocca
Analysis and simulations of multifrequency induction hardening
Nonlinear Analysis: Real world applications

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
Computer Methods in Applied Mechanics and Engineering

Kjetil Andre Johannessen, Filippo Remonato and Trond Kvamsdal
Computer Methods in Applied Mechanics and Engineering

Sven Kaulmann, Bernd Flemisch, Bernard Haasdonk, Knut-Andreas Lie and Mario Ohlberger
The localized reduced basis multiscale method for two-phase flows in porous media
International Journal for Numerical Methods in Engineering

Stein Krogstad, Knut-Andreas Lie, Olav Møyner, Halvor Møll Nilsen, Xavier Raynaud and Bård Skaflestad
MRST-AD: an open-source framework for rapid prototyping and evaluation of reservoir simulation problems
SPE Reservoir Simulation Symposium, 23-25 February 2015, Houston, Texas, USA

Mukesh Kumar, Trond Kvamsdal and Kjetil Andre Johannessen
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

Knut-Andreas Lie, Olav Møyner and Stein Krogstad
Application of Flow Diagnostics and Multiscale Methods for Reservoir Management
SPE Reservoir Simulation Symposium, 23-25 February 2015, Houston, Texas, USA

Knut-Andreas Lie, Halvor Møll Nilsen, Odd Andersen and Olav Møyner
A simulation workflow for large-scale CO2 storage in the Norwegian North Sea
Computational Geosciences

Knut-Andreas Lie
Hyperbolic Conservation Laws: Computation
Encyclopedia of Applied and Computational Mathematics

Knut-Andreas Lie and Bradley T. Mallison
Mathematical models for oil reservoir simulation
Encyclopedia of Applied and Computational 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

Robert I. McLachlan, Klas Modin and Olivier Verdier
Collective Lie–Poisson integrators on ℝ3
IMA Journal of Numerical Analysis

Robert I. McLachlan, Klas Modin, Hans Munthe-Kaas and Olivier Verdier
B-series methods are exactly the affine equivariant methods
Numerische Mathematik

Hans Munthe-Kaas and Olivier Verdier
Aromatic Butcher Series
Foundations of Computational Mathematics

Olav Møyner and Knut-Andreas Lie
A multiscale method based on restriction-smoothed basis functions suitable for general grids in high contrast media
SPE Reservoir Simulation Symposium, 23-25 February 2015, Houston, Texas, USA

Halvor Møll Nilsen, Knut Andreas Lie, Olav Møyner and Odd Andersen
Spill-point analysis and structural trapping capacity in saline aquifers using MRST-co2lab
Computers & Geosciences

Halvor Møll Nilsen, Knut-Andreas Lie and Odd Andersen
Analysis of CO2 trapping capacities and long-term migration for geological formations in the Norwegian North Sea using MRST-co2lab
Computers & Geosciences

Halvor Møll Nilsen, Knut-Andreas Lie and Odd Andersen
Fully-implicit simulation of vertical-equilibrium models with hysteresis and capillary fringe
Computational Geosciences

Halvor Møll Nilsen, Knut-Andreas Lie and Odd Andersen
Robust simulation of sharp-interface models for fast estimation of CO2 trapping capacity in large-scale aquifer systems
Computational Geosciences

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

Mayur Pal, Sadok Lamine, Knut Andreas Lie and Stein Krogstad
Validation of the multiscale mixed finite-element method
International Journal for Numerical Methods in Fluids

Xavier Raynaud, Magne André Nordaas, Knut Petter Dæhlin Lehre and Niels Christian Danbolt
Well-posedness of a model equation for neurotransmitter diffusion with reactive boundaries
Mathematical Models and Methods in Applied Sciences

Susanne Solem, Peder Aursand and Tore Flåtten
The dispersive wave dynamics of a two-phase flow relaxation model
Mathematical Modelling and Numerical Analysis

Susanne Solem, Peder Aursand and Tore Flåtten
Wave dynamics of linear hyperbolic relaxation systems
Journal of Hyperbolic Differential Equations

Martin Lilleeng Sætra, André R. Brodtkorb and Knut Andreas Lie
Efficient GPU-Implementation of Adaptive Mesh Refinement for the Shallow-Water Equations
Journal of Scientific Computing

Tor Sørevik and Morten Nome
Trigonometric interpolation on lattice grids
BIT Numerical Mathematics

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

2014

Kristian Alfsnes, Xavier Raynaud, Tone Tonjum and Ole Herman Ambur
Mathematical and live meningococcal models for simple sequence repeat dynamics - Coherent predictions and observations
PLOS ONE

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

Odd Andersen, Halvor Møll Nilsen and Knut-Andreas Lie
Reexamining CO2 Storage Capacity and Utilization of the Utsira Formation
ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014

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

Wolfgang Bleck, Dietmar Josef Homberg, Ulrich Prahl, Piyada Suwanpinij and Nataliya Togobytska
Optimal control of a cooling line for production of hot rolled dual phase steel
Steel Research International

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

David Cohen, Takayasu Matsuo and Xavier Raynaud
A multi-symplectic numerical integrator for the two-component Camassa-Holm equation
Journal of Nonlinear Mathematical Physics

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

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

Sindre Kristensen Hilden, Knut-Andreas Lie and Xavier Raynaud
Steady State Upscaling of Polymer Flooding
ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014

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

Dietmar Josef Homberg, Shuai Lu, Kenichi Sakamoto and Masahiro Yamamoto
Parameter identification in non-isothermal nucleation and growth processes
Inverse Problems

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

Stein Krogstad, Halvor Møll Nilsen and Xavier Raynaud
Reservoir management optimization using calibrated transmissibility upscaling
ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014

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

Knut Andreas Lie, Jostein Roald Natvig, Stein Krogstad, Yahan Yang and Xiao-Hui Wu
Grid adaptation for the Dirichlet-Neumann representation method and the multiscale mixed finite-element method
Computational Geosciences

Knut Andreas Lie, Halvor Møll Nilsen, Atgeirr Flø Rasmussen and Xavier Raynaud
Fast Simulation of Polymer Injection in Heavy-Oil Reservoirs on the Basis of Topological Sorting and Sequential Splitting
SPE Journal

Knut-Andreas Lie, Halvor Møll Nilsen, Odd Andersen and Olav Møyner
A Simulation Workflow for Large-scale CO2 Storage in the Norwegian North Sea
ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 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

Robert I. McLachlan, Klas Modin and Olivier Verdier
Collective symplectic integrators
Nonlinearity

Robert I. McLachlan, Klas Modin, Olivier Verdier and M. Wilkins
Geometric Generalisations of shake and rattle
Foundations of Computational Mathematics

Klas Modin and Olivier Verdier
Integrability of nonholonomically coupled oscillators
Discrete and Continuous Dynamical Systems. Series A

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

Trine Mykkeltvedt, Ivar Aavatsmark and Knut-Andreas Lie
Numerical Aspects of Polymer Flood Modeling
ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014

Olav Møyner and Knut Andreas Lie
The Multiscale Finite-Volume Method on Stratigraphic Grids
SPE Journal

Olav Møyner and Knut Andreas Lie
A multiscale two-point flux-approximation method
Journal of Computational Physics

Olav Møyner, Stein Krogstad and Knut-Andreas Lie
The application of flow diagnostics for reservoir management
SPE Journal

Olav Møyner
Construction of Multiscale Preconditioners on Stratigraphic Grids
ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014

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

Atgeirr Flø Rasmussen and Knut-Andreas Lie
Discretization of Flow Diagnostics on Stratigraphic and Unstructured Grids
ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014

Xavier Raynaud, Knut-Andreas Lie, Halvor Møll Nilsen and Atgeirr Flø Rasmussen
Well-posedness of the Single-cell Transport Problem for Two-phase Flow with Polymer
ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014

Sølve Selstø, Xavier Raynaud, Aleksander Simonsen and Morten Førre
Distinction between sequential and direct ionization in two-photon double ionization of helium
Physical Review A. Atomic, Molecular, and Optical Physics (PRA)

Olivier Verdier
Reductions of operator pencils
Mathematics of Computation

2013

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

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

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

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
Computational Plasticity XII Fundamentals and Applications Barcelona, Spain, 3 - 5 September 2013

Robert I. McLachlan, K Modin, Olivier Verdier and M. Wilkins
Symplectic Integrators for Index 1 Constraints
SIAM Journal on Scientific Computing

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

2012

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

Faruk Omer Alpak, Mayur Pal and Knut-Andreas Lie
A Multiscale Adaptive Local-Global Method for Modeling Flow in Stratigraphically Complex Reservoirs
SPE Journal

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

David Cohen and Xavier Marcel Raynaud
Convergent numerical schemes for the compressible hyperelastic rod wave equation
Numerische Mathematik

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

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

Vera Louise Hauge, Knut-Andreas Lie and Jostein Roald Natvig
Flow-based coarsening for multiscale simulation of transport in porous media
Computational Geosciences

Stein Krogstad, Knut-Andreas Lie and Bård Skaflestad
Mixed multiscale methods for compressible flow
ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB

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

Knut-Andreas Lie, Jostein Roald Natvig and Halvor Møll Nilsen
Discussion of dynamics and operator splitting techniques for two-phase flow with gravity
International Journal of Numerical Analysis & Modeling

Knut-Andreas Lie, Stein Krogstad, Ingeborg S Ligaard, Jostein Roald Natvig, Halvor Møll Nilsen and Bård Skaflestad
Open-source MATLAB implementation of consistent discretisations on complex grids
Computational Geosciences

Knut-Andreas Lie, Halvor Møll Nilsen, Atgeirr Flø Rasmussen and Xavier Marcel Raynaud
An unconditionally stable splitting method using reordering for simulating polymer injection
ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB

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

Jostein Roald Natvig, Knut-Andreas Lie, Stein Krogstad, Yahan Yang and Xiao-Hui Wu
Grid adaption for upscaling and multiscale methods
ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB

Halvor Møll Nilsen, Anne Randi Syversveen, Knut-Andreas Lie, Jan Tveranger and Jan Martin Nordbotten
Impact of top-surface morphology on CO2 storage capacity
International Journal of Greenhouse Gas Control

Halvor Møll Nilsen, Jostein Roald Natvig and Knut-Andreas Lie
Accurate Modeling of Faults by Multipoint, Mimetic, and Mixed Methods
SPE Journal

Halvor Møll Nilsen, Knut Andreas Lie and Jostein Roald Natvig
Accurate modelling of faults by multipoint, mimetic, and mixed methods
SPE Journal

Mayur Pal, Sadok Lamine, Knut-Andreas Lie and Stein Krogstad
Multiscale methods for two and three-phase flow simulation in subsurface petroleum reservoirs
ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB

Anne Randi Syversveen, Halvor Møll Nilsen, Knut-Andreas Lie, Jan Tveranger and Petter Abrahamsen
A Study on How Top-Surface Morphology Influences the Storage Capacity of CO2 in Saline Aquifers
Geostatistics Oslo 2012

2011

Faruk Omer Alpak, Mayur Pal and Knut-Andreas Lie
A Multiscale Method for Modeling Flow in Stratigraphically Complex Reservoirs
SPE Reservoir Simulation Symposium 2011 : 21-23 February 2011, The Woodlands, Texas, USA

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

David Cohen and Xavier Marcel Raynaud
Geometric finite difference schemes for the generalized hyperelastic-rod wave equation
Journal of Computational and Applied 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

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

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

Marcin Krotkiewski, Ingeborg S Ligaard, Knut-Andreas Lie and Daniel Walter Schmid
On the importance of the Stokes-Brinkman equations for computing effective permeability in karst reservoirs
Communications in Computational Physics

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

Jostein Roald Natvig, Bård Skaflestad, Frode Bratvedt, Kyrre Bratvedt, Knut-Andreas Lie, Vsevolod Laptev and Sanjoy Khataniar
Multiscale Mimetic Solvers for Efficient Streamline Simulation of Fractured Reservoirs
SPE Journal

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

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

2010

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

Seyed Meisam Ashraf, Knut Andreas Lie, Halvor Møll Nilsen, Arne Skorstad and Jan M. Nordbotten
Impact of geological heterogeneity on early-stage CO2 plume migration
Conference Proceedings ECMOR XII

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

Bernt Andre Brodtkorb, Trond Runar Hagen, Knut-Andreas Lie and Jostein Roald Natvig
Simulation and visualization of the Saint-Venant system using GPUs
Computing and Visualization in Science

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

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

Magnus Fontes and Oliver Verdier
Simplified apriori Estimate for the Time Periodic Burgers Equation
Academy Journal

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

Astrid Fossum Gulbransen, Vera Louise Hauge and Knut-Andreas Lie
A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs
SPE Journal

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

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

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

2009

JE Aarnes, Knut-Andreas Lie, V Kippe and Stein Krogstad
Multiscale methods for subsurface flow.
Multiscale Modeling and Simulation in Science

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

Mats Ehrnstrom, Helge Holden, Xavier Raynaud and Mats Ehrnström
Symmetric waves are traveling waves
International mathematics research notices

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

Birgitte Eikemo, Knut-Andreas Lie, Geir Terje Eigestad and Helge Ketil Dahle
Discontinuous Galerkin methods for advective transport in single-continuum models of fractured media
Advances in Water Resources

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)

Astrid Fossum Gulbransen, Vera Louise Hauge and Knut-Andreas Lie
A Multiscale Mixed Finite-Element Method for Vuggy and Naturally-Fractured Reservoirs
SPE Reservoir Simulation Symposium, 2-4 February 2009, The Woodlands, Texas, USA

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

Halvor Møll Nilsen and Knut-Andreas Lie
Front-tracking methods for use in streamline simulation of compressible flow
SPE Reservoir Simulation Symposium, 2-4 February 2009, The Woodlands, Texas, USA

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

Vegard Røine Stenerud, KA Lie and V Kippe
Generalized travel-time inversion on unstructured grids
Journal of Petroleum Science and Engineering

Oliver Verdier
Differential equations with constraints
Doctoral Dissertation

Oliver Verdier
Time-Periodic Solutions of the Burgers Equation
Journal of Mathematical Fluid Mechanics

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

2008

Jørg Espen Aarnes, Knut-Andreas Lie, Vegard Kippe and Stein Krogstad
Multiscale methods for subsurface flow
Multiscale Modeling and Simulation in Science

Jørg E. Aarnes, Stein Krogstad and Knut-Andreas Lie
Multiscale mixed/mimetic methods on corner-point grids
Computational Geosciences

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

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

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

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

Ruben Juanes and Knut-Andreas Lie
Numerical modeling of multiphase first-contact miscible flows. Part 2. Front-tracking/streamline simulation
Transport in Porous Media

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

Vegard Kippe, Jørg E. Aarnes and Knut-Andreas Lie
A comparison of multiscale methods for elliptic problems in porous media flow
Computational Geosciences

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

Jostein Roald Natvig and Knut-Andreas Lie
Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements
Journal of Computational Physics

Jostein Roald Natvig and Knut-Andreas Lie
On Efficient Implicit Upwind Schemes
Proceedings of the 11th European Conference on the Mathematics of Oil Recovery

Halvor Møll Nilsen and Knut-Andreas Lie
On Front Tracking for Compressible Flow
Proceedings of the 11th European Conference on the Mathematics of Oil Recovery

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

Vegard Røine Stenerud, Vegard Kippe, Knut-Andreas Lie and Akhil Datta-Gupta
Adaptive multiscale streamline simulation and inversion for high-resolution geomodels
SPE Journal

Vegard Røine Stenerud, Vegard Kippe, Knut-Andreas Lie and Akhil Datta-Gupta
Adaptive multiscale streamline simulation and inversion for high-resolution geomodels
SPE Journal

2007

Jørg E. Aarnes, Vegard Kippe, Knut-Andreas Lie and Alf Birger Rustad
Modelling of Multiscale Structures in Flow Simulations for Petroleum Reservoirs
Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF

Jørg E. Aarnes, Tore Gimse and Knut-Andreas Lie
An Introduction to the Numerics of Flow in Porous Media using Matlab
Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF

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

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

Trond Runar Hagen, Martin O. Henriksen, Jon M. Hjelmervik and Knut-Andreas Lie
How to Solve Systems of Conservation Laws Numerically Using the Graphics Processor as a High-Performance Computational Engine
Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF

Trond Runar Hagen, Martin O Henriksen, Jon M. Hjelmervik and Knut-Andreas Lie
How to solve systems of conservation laws numerically using the graphics processor as a high-performance computational engine
Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF

Helge Holden, Fritz Gesztesy, Johanna Michor and Gerald Teschl
Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy
International mathematics research notices

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

Håkon Hægland, Helge K. Dahle, G. T. Eigestad, Knut-Andreas Lie and Ivar Aavatsmark
Improved streamlines and time-of-flight for streamline simulation on irregular grids
Advances in Water Resources

Håkon Hægland, Helge Ketil Dahle, Geir Terje Eigestad, Knut-Andreas Lie and Ivar Aavatsmark
Improved streamlines and time-of-flight for streamline simulation on irregular grids
Advances in Water Resources

Ruben Juanes and Knut-Andreas Lie
Numerical modeling of multiphase first-contact miscible flows. Part 1. Analytical Riemann solver
Transport in Porous Media

Henrik Kalisch and Xavier Raynaud
On the rate of convergence of a collocation projection of the KdV equation
Mathematical Modelling and Numerical Analysis

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

Jostein R. Natvig, Knut-Andreas Lie, Birgitte Eikemo and Inga Berre
An efficient discontinuous Galerkin method for advective transport in porous media
Advances in Water Resources

2006

Jørg Aarnes, Stein Krogstad and Knut-Andreas Lie
A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids
Multiscale Modeling & simulation

Jørg Aarnes, V Kippe and Knut-Andreas Lie
Multiscale methods and streamline simulation for rapid reservoir performance prediction
Progress in Industrial Mathematics at ECMI 2004

Jørg Aarnes, Stein Krogstad, Knut-Andreas Lie and Jostein Roald Natvig
Fast sequential implicit porous media flow simulations using multiscale finite elements and reordering of cells for solution of nonlinear transport equation
10th European Conference on the Mathematics of Oil Recovery ECMOR X, 04 September 2006

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

Elena Celledoni and Niklas Sævstrøm
A symmetric splitting method for rigid body dynamics
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

Trond Runar Hagen, Knut-Andreas Lie and Jostein Roald Natvig
Solving the Euler equations on graphics processing units
Lecture Notes in Computer Science (LNCS)

Trond Runar Hagen, Knut-Andreas Lie and Jostein Roald Natvig
Solving the Euler equations on graphical processing units
Computational Science - ICCS 2006, Pt. 4, Proceedings

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

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

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.)

Henrik Kalisch and Xavier Raynaud
Convergence of a Spectral Projection of the Camassa-Holm Equation
Numerical Methods for Partial Differential Equations

Henrik Kalisch and Xavier Raynaud
Convergence of a spectral projection of the Camassa-Holm equation
Numerical Methods for Partial Differential Equations

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

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

2005

Jørg Espen Aarnes, Vegard Kippe and Knut-Andreas Lie
Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels
Advances in Water Resources

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

Inga Berre, Helge Ketil Dahle, Trond Mannseth and Knut-Andreas Lie
Fast Simulation of Transport and Adaptive Permeability Estimation in Porous Media
Doctoral Dissertation

Inga Berre, Kenneth Hvistendahl Karlsen, Knut-Andreas Lie and Jostein R. Natvig
Fast computation of arrival times in heterogeneous media
Computational Geosciences

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)

Trond R Hagen, Jon M. Hjelmervik, Knut-Andreas Lie, Jostein Roald Natvig and M. Henriksen
Visual simulation of shallow-water waves
Simulation modelling practice and theory

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

Knut-Andreas Lie and Ruben Juanes
A front-tracking method for the simulation of three-phase flow in porous media
Computational Geosciences

Knut-Andreas Lie, Jørg Espen Aarnes, Vegard Kippe and Stein Krogstad
Multiscale Methods for Flow in Porous Media
Rakenteiden Mekaniikka

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

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

2004

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

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

2003

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

Knut-Andreas Lie
On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws
SIAM Journal on Scientific Computing

Knut-Andreas Lie
An improved quadrature rule for the flux-computation in staggered central difference schemes in multidimensions
Journal of Scientific Computing

2002

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

Inga Berre, Helge Ketil Dahle, Kenneth H. Karlsen, Knut-Andreas Lie and Jostein R. Natvig
Time-of-flight + fast Marching + transport collapse: an alternative to streamlines for tow-phase porous media flow with capillary forces?
Developments in Water Science

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

2001

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

Vidar Haugse, Kenneth Hvistendahl Karlsen, Knut-Andreas Lie and Jostein Natvig
Numerical solution of the polymer system by front tracking
Transport in Porous Media

Vidar Haugse, Kenneth Hvistendahl Karlsen, Knut-Andreas Lie and Jostein Roald Natvig
Numerical solution of the polymer system by front tracking
Transport in Porous Media

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

Kenneth Hvistendahl Karlsen, Knut-Andreas Lie, Jostein Roald Natvig, Hans Fredrik Nordhaug and Helge Ketil Dahle
Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies
Journal of Computational Physics

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

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

2000

Raymond Bürger, Steinar Evje, Kenneth Hvistendahl Karlsen and Knut-Andreas Lie
Numerical methods for the simulation of the settling of flocculated suspensions
Chemical Engineering Journal

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

Steinar Evje, Kenneth Hvistendahl Karlsen, Knut-Andreas Lie and Nils Henrik Risebro
Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations
IMA Journal of Applied Mathematics

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

Kenneth Hvistendahl Karlsen, Knut-Andreas Lie and Nils Henrik Risebro
A fast marching method for reservoir simulation
Computational Geosciences

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

Knut-Andreas Lie
Front tracking for one-dimensional quasilinear hyperbolic equations with variable coefficients
Numerical Algorithms

Peter Lindqvist, Juan Manfredi and Eero Saksman
Superharmonicity of nonlinear ground states
Revista matemática iberoamericana

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

1999

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 and Knut-Andreas Lie
An unconditionally stable splitting for a class of nonlinear parabolicequations
IMA Journal of Numerical Analysis

Kenneth Hvistendahl Karlsen and Knut-Andreas Lie
An unconditionally stable splitting scheme for a class of nonlinear parabolic equations
IMA Journal of Numerical Analysis

Kenneth Hvistendahl Karlsen, Helge Holden and Nils Henrik Risebro
Operator splitting for generalized KdV equations
Journal of Computational Physics

Knut-Andreas Lie
A dimensional splitting method for quasilinear hyperbolic equations with variable coefficients
BIT Numerical Mathematics

Hans Munthe-Kaas and Brynjulf Owren
Computations in a Free Lie Algebra
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

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

1998

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

Kenneth Hvistendahl Karlsen, Kari Brusdal, Helge Ketil Dahle, S. Evje and K-A Lie
The corrected operator splitting approach applied to a nonlinear advection-diffusion problem
Computer Methods in Applied Mechanics and Engineering

Kenneth Hvistendahl Karlsen, Knut-Andreas Lie, Nils Henrik Risebro and Johnny Frøyen
A front-tracking approach to a two-phase fluid-flow model with capillary forces
In situ

Kenneth Hvistendahl Karlsen, Knut-Andreas Lie, Nils Henrik Risebro and Johnny Frøyen
A front-tracking approach to a two-phase fluid-flow model with capillary forces
In situ

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

1997

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
Modeling, Identification and Control

Syvert Paul Nørsett and Arieh Iserles
Biorthogonal polynomials and zero-mapping transformations
Computers and Mathematics with Applications

1996

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

1995

Helge Holden, Nils Henrik Risebro and Aslak Tveito
Maximum principles for a class of conservation laws
SIAM Journal on Applied Mathematics

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

1994

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

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

1993

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

1992

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

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

1991

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

1990

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

1989

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

1988

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

1987

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

1986

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

1985

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
IASTED International Conference Modelling, Identification, and Control : Proceedings

Syvert Paul Nørsett and Arieh Iserles
A-acceptability of derivatives of rational approximations to $\exp(z)$
Journal of Approximation Theory

1984

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

1983

Harald Hanche-Olsen
On the Structure and Tensor Products of JC-Algebras
Canadian Journal of Mathematics - Journal Canadien de Mathematiques

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

1981

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

1980

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

1979

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

1978

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

1977

Syvert Paul Nørsett and Wolbrandt Arne
Attainable order of rational approximations to the exponential function with real poles
BIT Numerical Mathematics

1976

Syvert Paul Nørsett
Runge--Kutta methods with a multiple real eigenvalue only
BIT Numerical Mathematics

1975

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

1974

Syvert Paul Nørsett
One-step methods of Hermite type for numerical integration of stiff systems
BIT Numerical Mathematics

1969

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

Publication list generated with data from Cristin 27. January 2020.