# Publications - DNA - Mathematical Sciences

# 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**

Olav Møyner, Odd Andersen and Halvor Møll Nilsen

**Multi-Model Hybrid Compositional Simulator with Application to Segregated flow**

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**

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**

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**

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**

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**

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**

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**

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**

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**

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**

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**

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'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.