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  1. Ansatte

Språkvelger

English

Brynjulf Owren

Last ned pressefoto
Last ned pressefoto
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Brynjulf Owren

Professor
Institutt for matematiske fag

brynjulf.owren@ntnu.no
73593518 93021641 Sentralbygg 2, 1350, Gløshaugen, Alfred Getz vei 1
Om Publikasjoner Undervisning Formidling

Om

CV

Brynjulf Owren er professor ved Institutt for matematiske fag. Han tilhører forskningsgruppen for Differensiallikninger og numerisk analyse.

Se engelsk side for mer informasjon.

Publikasjoner

  • Kronologisk
  • Etter kategori
  • Alle publikasjoner i Nasjonalt vitenarkiv (NVA)

2026

  • Jasa, Hajg; Bergmann, Ronny; Owren, Brynjulf Rustad. (2026) Algorithms for Nonsmooth Optimization on Riemannian Manifolds, and Applications. Norges teknisk-naturvitenskapelige universitet
    Doktoravhandling

2025

  • Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Leyendecker, Sigrid; Murari, Davide; Owren, Brynjulf Rustad; Almagro, Rodrigo T Sato Martín de; Stavole, Martina. (2025) Neural networks for the approximation of Euler’s elastica. Computer Methods in Applied Mechanics and Engineering
    Vitenskapelig artikkel
  • Celledoni, Elena; Jackaman, James; Murari, Davide; Owren, Brynjulf Rustad. (2025) Predictions based on pixel data: Insights from PDEs and finite differences. Journal of Computational Physics
    Vitenskapelig artikkel

2024

  • Arnold, Martin; Celledoni, Elena; Cokaj, Ergys; Owren, Brynjulf Rustad; Tumiotto, Denise. (2024) B-STABILITY OF NUMERICAL INTEGRATORS ON RIEMANNIAN MANIFOLDS. Journal of Computational Dynamics
    Vitenskapelig artikkel
  • Celledoni, Elena; Munthe-Kaas, Hans Zanna; Owren, Brynjulf Rustad; Munthe-Kaas, Antonella Zanna. (2024) PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART II. Journal of Computational Dynamics
    Fagartikkel
  • Celledoni, Elena; Munthe-Kaas, Hans Zanna; Owren, Brynjulf Rustad; Munthe-Kaas, Antonella Zanna. (2024) PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART I. Journal of Computational Dynamics
    Fagartikkel
  • Sherry, Ferdia; Celledoni, Elena; Ehrhardt, Matthias J.; Murari, Davide; Owren, Brynjulf Rustad; Schönlieb, Carola-Bibiane. (2024) Designing stable neural networks using convex analysis and ODEs. Physica D : Non-linear phenomena
    Vitenskapelig artikkel

2023

  • Bogfjellmo, Geir; Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf Rustad; Quispel, Gilles Reinout Willem. (2023) Using aromas to search for preserved measures and integrals in Kahan’s method. Mathematics of Computation
    Vitenskapelig artikkel
  • Celledoni, Elena; Murari, Davide; Owren, Brynjulf Rustad; Schonlieb, Carola-Bibiane; Sherry, Ferdia. (2023) DYNAMICAL SYSTEMS - BASED NEURAL NETWORKS. SIAM Journal on Scientific Computing
    Vitenskapelig artikkel

2022

  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.; Tapley, Benjamin Kwanen. (2022) DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS. Journal of Computational Dynamics
    Vitenskapelig artikkel
  • Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics
    Vitenskapelig artikkel
  • Celledoni, Elena; Cokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf Rustad. (2022) Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators. Mathematics in Industry
    Vitenskapelig artikkel
  • Tapley, Benjamin Kwanen; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2022) Computational geometric methods for preferential clustering of particle suspensions. Journal of Computational Physics
    Vitenskapelig artikkel
  • Murari, Davide; Celledoni, Elena; Owren, Brynjulf Rustad; Sherry, Ferdia; Schönlieb, Carola-Bibiane. (2022) Structure preserving neural networks based on ODEs. NeurIPS 2022 Workshop DLDE homepage
    Forskningsrapport

2021

  • Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Equivariant neural networks for inverse problems. Inverse Problems
    Vitenskapelig artikkel
  • Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2021) Lie Group integrators for mechanical systems. International Journal of Computer Mathematics
    Vitenskapelig artikkel
  • Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; McLachlan, Robert I.; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Structure preserving deep learning. European journal of applied mathematics
    Vitenskapelig artikkel
  • Andersson, Helge Ingolf; Celledoni, Elena; Ohm, Laurel; Owren, Brynjulf; Tapley, Benjamin. (2021) An integral model based on slender body theory, with applications to curved rigid fibers. Physics of Fluids
    Vitenskapelig artikkel

2020

  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2020) The Magnus expansion and post-Lie algebras. Mathematics of Computation
    Vitenskapelig artikkel

2019

  • Celledoni, Elena; McLaren, David; Owren, Brynjulf; Quispel, Reinout. (2019) Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals. Journal of Physics A: Mathematical and Theoretical
    Vitenskapelig artikkel
  • Kamp, Peter H. van der; Celledoni, Elena; Mclachlan, Robert, i; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem. (2019) 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
    Vitenskapelig artikkel
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.; Tapley, Benjamin. (2019) Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps. arXiv.org
    Vitenskapelig artikkel
  • Ohm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons.
    Vitenskapelig kapittel
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; Kamp, Peter H. van der. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org
    Vitenskapelig artikkel
  • Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. (2019) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Numerical Algorithms
    Vitenskapelig artikkel
  • Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation
    Vitenskapelig artikkel
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; Kamp, Peter H. van der. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. Journal of Physics A: Mathematical and Theoretical
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Owren, Brynjulf. (2019) Variable step size commutator free Lie group integrators. Numerical Algorithms
    Vitenskapelig artikkel
  • Zanna, Antonella; Owren, Brynjulf. (2019) Holmboeprisen 2018. Tangenten - Tidsskrift for matematikkundervisning
    Populærvitenskapelig artikkel
  • Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane. (2019) Deep learning as optimal control problems: models and numerical methods. Journal of Computational Dynamics
    Vitenskapelig artikkel
  • Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf. (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org
    Vitenskapelig artikkel

2018

  • Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. (2018) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. arXiv.org
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2018) The Magnus expansion and Post-Lie algebras. arXiv.org
    Vitenskapelig artikkel
  • Ringholm, Torbjørn; Owren, Brynjulf; Celledoni, Elena. (2018) Discrete gradient methods in image processing and partial differential equations on moving meshes. Norges teknisk-naturvitenskapelige universitet
    Doktoravhandling
  • Haugen, Kjetil K.; Owren, Brynjulf. (2018) Predicting football tables by a maximally parsimonious model. Mathematics for applications
    Vitenskapelig artikkel
  • Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2018) Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows. SIAM Journal on Scientific Computing
    Vitenskapelig artikkel
  • Owren, Brynjulf. (2018) Holmboeprisen 2017. Tangenten - Tidsskrift for matematikkundervisning
    Populærvitenskapelig artikkel

2017

  • Owren, Brynjulf. (2017) Holmboeprisvinneren 2016. Tangenten - Tidsskrift for matematikkundervisning
    Populærvitenskapelig artikkel
  • Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. Advances in Computational Mathematics
    Vitenskapelig artikkel

2016

  • Marthinsen, Håkon; Owren, Brynjulf. (2016) Geometric integration of non-autonomous linear Hamiltonian problems. Advances in Computational Mathematics
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Quispel, Reinout. (2016) Two classes of quadratic vector fields for which the Kahan discretization is integrable. MI Lecture Note, Kyushu University
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Owren, Brynjulf. (2016) A Computationally Inexpensive Coordinate Map for Lie Group Integrators. MI Lecture Note, Kyushu University
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2016) Two classes of quadratic vector fields for which the Kahan discretization is completely integrable MI Lecture Note Vol.74 : Kyushu University. MI Lecture Note, Kyushu University
    Vitenskapelig artikkel

2015

  • Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Quispel, Reinout. (2015) Discretization of polynomial vector fields by polarization. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
    Vitenskapelig artikkel
  • Amaya, Manuel; Owren, Brynjulf. (2015) High-order optimization methods for large-scale 3D CSEM data inversion. Norges teknisk-naturvitenskapelige universitet
    Doktoravhandling
  • Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2015) Adaptive Energy Preserving Methods for Partial Differential Equations. arXiv.org
    Forskningsrapport
  • Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.. (2015) Discretization of polynomial vector fields by polarization. arXiv.org
    Forskningsrapport

2014

  • Celledoni, Elena; Owren, Brynjulf. (2014) Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems. Series A
    Vitenskapelig artikkel
  • Marthinsen, Håkon; Owren, Brynjulf. (2014) Geometric integration of non-autonomous Hamiltonian problems. arxiv
    Forskningsrapport
  • Marthinsen, Håkon; Owren, Brynjulf. (2014) On symplectic integration in Lie groups and manifolds. Norges teknisk-naturvitenskapelige universitet
    Doktoravhandling
  • Celledoni, Elena; Marthinsen, Håkon; Owren, Brynjulf. (2014) An introduction to Lie group integrators - basics, new developments and applications. Journal of Computational Physics
    Vitenskapelig artikkel
  • Celledoni, Elena; Owren, Brynjulf; Sun, Yajuan. (2014) The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method. Mathematics of Computation
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, Robert I.; McLaren, David; Owren, Brynjulf; Quispel, G. R. W.. (2014) Integrability properties of Kahanʼs method. Journal of Physics A: Mathematical and Theoretical
    Vitenskapelig artikkel

2013

  • Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf; Quispel, G.R.W.. (2013) Geometric properties of Kahan's method. Journal of Physics A: Mathematical and Theoretical
    Vitenskapelig artikkel

2012

  • Celledoni, Elena; Grimm, Volker; McLachlan, Robert I.; McLaren, David; O'Neale, Dion; Owren, Brynjulf; Quispel, G.R.W. (2012) Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method. Journal of Computational Physics
    Vitenskapelig artikkel

2011

  • Dahlby, Morten; Owren, Brynjulf. (2011) A General Framework for Deriving Integral Preserving Numerical Methods for PDEs. SIAM Journal on Scientific Computing
    Vitenskapelig artikkel
  • Christiansen, Snorre H; Munthe-Kaas, Hans; Owren, Brynjulf. (2011) Topics in structure-preserving discretization. Acta Numerica
    Vitenskapelig oversiktsartikkel
  • Owren, Brynjulf. (2011) Werner Romberg: "Vereinfachte numerische Integration''. Skrifter
    Populærvitenskapelig artikkel
  • Dahlby, Morten; Owren, Brynjulf; Yaguchi, Takaharu. (2011) Preserving multiple first integrals by discrete gradients. Journal of Physics A: Mathematical and Theoretical
    Vitenskapelig artikkel

2010

  • Dahlby, Morten Lien; Owren, Brynjulf; Yaguchi, Takaharu. (2010) Preserving multiple first integrals by discrete gradients. NTNU, Department of Mathematical Sciences
    Forskningsrapport
  • Dahlby, Morten Lien; Owren, Brynjulf. (2010) A general framework for deriving integral preserving numerical methods for PDEs. NTNU, Department of Mathematical Sciences
    Forskningsrapport
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) On conjugate B-series and their geometric structure. Journal on Numerical Analysis Industrial and Applied Mathematics
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) Energy-Preserving Integrators and the Structure of B-series. Foundations of Computational Mathematics
    Vitenskapelig artikkel

2009

  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Energy-preserving integrators and the structure of B-series. IMF, NTNU
    Forskningsrapport
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Structure of B-series for some classes of Geometric Integrators. AIP Conference Proceedings
    Vitenskapelig artikkel
  • Dahlby, Morten Lien; Owren, Brynjulf. (2009) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. Modélisation mathématique et analyse numérique
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Reinout, Quispel; Wright, Will. (2009) Energy-preserving Runge-Kutta methods. Modélisation mathématique et analyse numérique
    Vitenskapelig artikkel
  • Celledoni, Elena; Grimm, V; McLachlan, I. Robert; McLaren, David; O'Neale, Dion; Owren, Brynjulf; Quispel, Reinout. (2009) Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method. Institutt for matematiske fag, NTNU
    Forskningsrapport

2008

  • Cohen, David; Owren, B; Raynaud, X. (2008) Symplectic integration of the Carnassa-Holm equation. Journal of Computational Physics
    Vitenskapelig artikkel
  • Dahlby, Morten Lien; Owren, Brynjulf. (2008) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. Institutt for matematiske fag
    Forskningsrapport
  • Munthe-Kaas, Hans; Owren, Brynjulf. (2008) Mathematics and Computation, a Contemporary View: The Abel Symposium 2006. Springer
    Antologi
  • Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving Runge-Kutta methods. NTNU Institutt for matematiske fag
    Forskningsrapport
  • Cohen, David; Owren, Brynjulf; Raynaud, Xavier. (2008) Multi-symplectic integration of the Camassa–Holm equation. Journal of Computational Physics
    Vitenskapelig artikkel
  • Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series.
    Vitenskapelig kapittel
  • Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2008) Symmetric exponential integrators for the nonlinear Schroedinger equation. Foundations of Computational Mathematics
    Vitenskapelig artikkel

2006

  • Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2006) Symmetric exponential integrators for the cubic Schroedinger equation. Institutt for Matematiske fag, NTNU
    Forskningsrapport
  • Berland, Håvard; Owren, Brynjulf; Skaflestad, Bård. (2006) Solving the nonlinear Schrodinger equation using exponential integrators. MIC Journal: Modeling, Identification and Control
    Vitenskapelig artikkel
  • Owren, Brynjulf. (2006) Order conditions for commutator-free Lie group methods. Journal of Physics A: Mathematical and General
    Vitenskapelig artikkel

2005

  • Berland, Håvard; Owren, Brynjulf; Skaflestad, Bård. (2005) B-series and order conditions for exponential integrators. SIAM Journal on Numerical Analysis
    Vitenskapelig artikkel

2004

  • Kværnø, Anne; Kozlov, Roman; Owren, Brynjulf. (2004) The behaviour of the local error in splitting methods applied to stiff problems. Journal of Computational Physics
    Vitenskapelig artikkel

2003

  • Casas, F; Owren, Brynjulf. (2003) Cost efficient Lie group integrators in the RKMK class. Applied Numerical Mathematics
    Vitenskapelig artikkel
  • Berland, Håvard; Owren, Brynjulf. (2003) Algebraic Structures on Ordered Rooted Trees and Their Significance to Lie Group Integrators. Institutt for matematiske fag, Norges teknisk-naturvitenskapelige univ
    Forskningsrapport
  • Owren, Brynjulf; Kværnø, Anne; Kozlov, Roman. (2003) The behaviour of the local error in splitting methods applied to stiff problems. Institutt for matematiske fag, NTNU
    Forskningsrapport
  • Casas, Fernando; Owren, Brynjulf. (2003) Cost Efficient Lie Group Integrators in the RKMK Class. BIT Numerical Mathematics
    Vitenskapelig artikkel
  • Celledoni, Elena; Owren, Brynjulf. (2003) Lie group methods for rigid body dynamics and time integration on manifolds. Computer Methods in Applied Mechanics and Engineering
    Vitenskapelig artikkel
  • Celledoni, Elena; Owren, Brynjulf. (2003) On the Implementation of Lie Group Methods on the Stiefel Manifold. Numerical Algorithms
    Vitenskapelig artikkel
  • Celledoni, Elena; Marthinsen, Arne; Owren, Brynjulf. (2003) Commutator-free Lie group methods. Future Generation Computer Systems
    Vitenskapelig artikkel

2002

  • Casas, Fernando; Owren, Brynjulf. (2002) Cost efficient Lie group integrators in the RKMK class. [Mangler utgivernavn]
    Forskningsrapport
  • Celledoni, Elena; Owren, Brynjulf. (2002) A class of intrinsic schemes for orthogonal integration. SIAM Journal on Numerical Analysis
    Vitenskapelig artikkel

2001

  • Celledoni, Elena; Owren, Brynjulf. (2001) A class of low complexity intrinsic schemes for orthogonal integration. Institutt for matematiske fag, NTNU.
    Forskningsrapport
  • Owren, Brynjulf. (2001) Quadrature methods based on the Cayley transform. Applied Numerical Mathematics
    Vitenskapelig artikkel
  • Marthinsen, Arne; Owren, Brynjulf. (2001) A note on the construction of Crouch-Grossman methods. BIT Numerical Mathematics
    Vitenskapelig artikkel
  • Owren, Brynjulf; Marthinsen, Arne. (2001) Integration methods based on canonical coordinates of the second kind. Numerische Mathematik
    Vitenskapelig artikkel

2000

  • Jackiewicz, Zdzislaw; Marthinsen, Arne; Owren, Brynjulf. (2000) Construction of Runge-Kutta methods of Crouch-Grossman type of high order. Advances in Computational Mathematics
    Vitenskapelig artikkel
  • Owren, Brynjulf; Welfert, Bruno. (2000) The Newton Iteration on Lie Groups. BIT Numerical Mathematics
    Vitenskapelig artikkel

1999

  • Munthe-Kaas, Hans; Owren, Brynjulf. (1999) Computations in a Free Lie Algebra. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
    Vitenskapelig artikkel
  • Owren, Brynjulf; Marthinsen, Arne. (1999) Runge-Kutta methods adapted to manifolds and based on rigid frames. BIT Numerical Mathematics
    Vitenskapelig artikkel
  • Marthinsen, Arne; Owren, Brynjulf. (1999) Quadrature Methods Based on the Cayley Transform. Institutt for matematiske fag, NTNU.
    Forskningsrapport
  • Kozlov, Roman; Owren, Brynjulf. (1999) Order reduction in operator splitting methods. Institutt for matematiske fag, NTNU
    Forskningsrapport
  • Jackiewicz, Zdzislaw; Marthinsen, Arne; Owren, Brynjulf. (1999) Construction of Runge-Kutta Methods of Crouch-Grossman Type of High Order. Institutt for matematiske fag, NTNU
    Forskningsrapport

1998

  • Jackiewicz, Zdzislaw; Owren, Brynjulf; Welfert, Bruno D.. (1998) Pseudospectra of waveform relaxation operators. Computers and Mathematics with Applications
    Vitenskapelig artikkel
  • Ekeland, Kersti; Owren, Brynjulf; Øines, Eivor. (1998) Stiffness detection and estimation of dominant spectra with explicit Runge-Kutta methods. ACM Transactions on Mathematical Software
    Vitenskapelig artikkel
  • Munthe-Kaas, Hans; Owren, Brynjulf. (1998) Computations in a free Lie algebra. Institutt for informatikk
    Forskningsrapport

1997

  • Marthinsen, Arne; Marthinsen, Arne; Munthe-Kaas, Hans; Munthe-Kaas, Hans; Owren, Brynjulf. (1997) Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications. MIC Journal: Modeling, Identification and Control
    Vitenskapelig artikkel

1996

  • Nørsett, Syvert Paul; Kværnø, Anne; Owren, Brynjulf. (1996) Runge-Kutta research in Trondheim. Applied Numerical Mathematics
    Vitenskapelig artikkel

1994

  • Enright, Wayne H.; Higham, Desmond J.; Owren, Brynjulf; Sharp, Philip W.. (1994) A Survey of the Explicit Runge-Kutta Method. Department of Computer Science, University of Toronto
    Forskningsrapport

1993

  • Landrø, Martin; Zaalberg-Metselaar, Gitta; Owren, Brynjulf; Vaage, Svein. (1993) Modeling of water-gun signatures. Geophysics
    Vitenskapelig artikkel
  • Muir, Paul; Owren, Brynjulf. (1993) Order Barriers and characterizations for continuous mono-implicit Runge-Kutta schemes. Mathematics of Computation
    Vitenskapelig artikkel

1992

  • Owren, Brynjulf; Zennaro, Marino. (1992) Derivation of efficient, continuous explicit Runge-Kutta methods. SIAM Journal of Scientific and Statistical Computing
    Vitenskapelig artikkel

1991

  • Owren, Brynjulf; Zennaro, Marino. (1991) Order barriers for continuous explicit Runge-Kutta methods. Mathematics of Computation
    Vitenskapelig artikkel
  • Owren, Brynjulf; Seip, Kristian. (1991) A uniqueness result related to the stability of explicit Runge-Kutta methods. BIT Numerical Mathematics
    Vitenskapelig artikkel

1990

  • Owren, Brynjulf; Seip, Kristian. (1990) Some stability results for explicit Runge-Kutta methods. BIT Numerical Mathematics
    Vitenskapelig artikkel

Tidsskriftspublikasjoner

  • Celledoni, Elena; McLaren, David; Owren, Brynjulf; Quispel, Reinout. (2019) Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals. Journal of Physics A: Mathematical and Theoretical
    Vitenskapelig artikkel
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.; Tapley, Benjamin Kwanen. (2022) DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS. Journal of Computational Dynamics
    Vitenskapelig artikkel
  • Kamp, Peter H. van der; Celledoni, Elena; Mclachlan, Robert, i; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem. (2019) 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
    Vitenskapelig artikkel
  • Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. (2018) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. arXiv.org
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2018) The Magnus expansion and Post-Lie algebras. arXiv.org
    Vitenskapelig artikkel
  • Marthinsen, Arne; Marthinsen, Arne; Munthe-Kaas, Hans; Munthe-Kaas, Hans; Owren, Brynjulf. (1997) Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications. MIC Journal: Modeling, Identification and Control
    Vitenskapelig artikkel
  • Cohen, David; Owren, B; Raynaud, X. (2008) Symplectic integration of the Carnassa-Holm equation. Journal of Computational Physics
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Quispel, Reinout. (2015) Discretization of polynomial vector fields by polarization. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
    Vitenskapelig artikkel
  • Owren, Brynjulf. (2017) Holmboeprisvinneren 2016. Tangenten - Tidsskrift for matematikkundervisning
    Populærvitenskapelig artikkel
  • Casas, F; Owren, Brynjulf. (2003) Cost efficient Lie group integrators in the RKMK class. Applied Numerical Mathematics
    Vitenskapelig artikkel
  • Celledoni, Elena; Owren, Brynjulf. (2014) Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems. Series A
    Vitenskapelig artikkel
  • Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics
    Vitenskapelig artikkel
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.; Tapley, Benjamin. (2019) Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps. arXiv.org
    Vitenskapelig artikkel
  • Munthe-Kaas, Hans; Owren, Brynjulf. (1999) Computations in a Free Lie Algebra. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
    Vitenskapelig artikkel
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; Kamp, Peter H. van der. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org
    Vitenskapelig artikkel
  • Haugen, Kjetil K.; Owren, Brynjulf. (2018) Predicting football tables by a maximally parsimonious model. Mathematics for applications
    Vitenskapelig artikkel
  • Dahlby, Morten; Owren, Brynjulf. (2011) A General Framework for Deriving Integral Preserving Numerical Methods for PDEs. SIAM Journal on Scientific Computing
    Vitenskapelig artikkel
  • Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. (2019) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Numerical Algorithms
    Vitenskapelig artikkel
  • Marthinsen, Håkon; Owren, Brynjulf. (2016) Geometric integration of non-autonomous linear Hamiltonian problems. Advances in Computational Mathematics
    Vitenskapelig artikkel
  • Bogfjellmo, Geir; Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf Rustad; Quispel, Gilles Reinout Willem. (2023) Using aromas to search for preserved measures and integrals in Kahan’s method. Mathematics of Computation
    Vitenskapelig artikkel
  • Celledoni, Elena; Grimm, Volker; McLachlan, Robert I.; McLaren, David; O'Neale, Dion; Owren, Brynjulf; Quispel, G.R.W. (2012) Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method. Journal of Computational Physics
    Vitenskapelig artikkel
  • Cohen, David; Owren, Brynjulf; Raynaud, Xavier. (2008) Multi-symplectic integration of the Camassa–Holm equation. Journal of Computational Physics
    Vitenskapelig artikkel
  • Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation
    Vitenskapelig artikkel
  • Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2018) Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows. SIAM Journal on Scientific Computing
    Vitenskapelig artikkel
  • Kværnø, Anne; Kozlov, Roman; Owren, Brynjulf. (2004) The behaviour of the local error in splitting methods applied to stiff problems. Journal of Computational Physics
    Vitenskapelig artikkel
  • Arnold, Martin; Celledoni, Elena; Cokaj, Ergys; Owren, Brynjulf Rustad; Tumiotto, Denise. (2024) B-STABILITY OF NUMERICAL INTEGRATORS ON RIEMANNIAN MANIFOLDS. Journal of Computational Dynamics
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Structure of B-series for some classes of Geometric Integrators. AIP Conference Proceedings
    Vitenskapelig artikkel
  • Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Leyendecker, Sigrid; Murari, Davide; Owren, Brynjulf Rustad; Almagro, Rodrigo T Sato Martín de; Stavole, Martina. (2025) Neural networks for the approximation of Euler’s elastica. Computer Methods in Applied Mechanics and Engineering
    Vitenskapelig artikkel
  • Celledoni, Elena; Cokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf Rustad. (2022) Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators. Mathematics in Industry
    Vitenskapelig artikkel
  • Nørsett, Syvert Paul; Kværnø, Anne; Owren, Brynjulf. (1996) Runge-Kutta research in Trondheim. Applied Numerical Mathematics
    Vitenskapelig artikkel
  • Dahlby, Morten Lien; Owren, Brynjulf. (2009) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. Modélisation mathématique et analyse numérique
    Vitenskapelig artikkel
  • Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Equivariant neural networks for inverse problems. Inverse Problems
    Vitenskapelig artikkel
  • Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2021) Lie Group integrators for mechanical systems. International Journal of Computer Mathematics
    Vitenskapelig artikkel
  • Owren, Brynjulf; Zennaro, Marino. (1991) Order barriers for continuous explicit Runge-Kutta methods. Mathematics of Computation
    Vitenskapelig artikkel
  • Landrø, Martin; Zaalberg-Metselaar, Gitta; Owren, Brynjulf; Vaage, Svein. (1993) Modeling of water-gun signatures. Geophysics
    Vitenskapelig artikkel
  • Muir, Paul; Owren, Brynjulf. (1993) Order Barriers and characterizations for continuous mono-implicit Runge-Kutta schemes. Mathematics of Computation
    Vitenskapelig artikkel
  • Owren, Brynjulf; Zennaro, Marino. (1992) Derivation of efficient, continuous explicit Runge-Kutta methods. SIAM Journal of Scientific and Statistical Computing
    Vitenskapelig artikkel
  • Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; McLachlan, Robert I.; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Structure preserving deep learning. European journal of applied mathematics
    Vitenskapelig artikkel
  • Andersson, Helge Ingolf; Celledoni, Elena; Ohm, Laurel; Owren, Brynjulf; Tapley, Benjamin. (2021) An integral model based on slender body theory, with applications to curved rigid fibers. Physics of Fluids
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2020) The Magnus expansion and post-Lie algebras. Mathematics of Computation
    Vitenskapelig artikkel
  • Celledoni, Elena; Owren, Brynjulf. (2002) A class of intrinsic schemes for orthogonal integration. SIAM Journal on Numerical Analysis
    Vitenskapelig artikkel
  • Owren, Brynjulf; Seip, Kristian. (1991) A uniqueness result related to the stability of explicit Runge-Kutta methods. BIT Numerical Mathematics
    Vitenskapelig artikkel
  • Owren, Brynjulf; Seip, Kristian. (1990) Some stability results for explicit Runge-Kutta methods. BIT Numerical Mathematics
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Quispel, Reinout. (2016) Two classes of quadratic vector fields for which the Kahan discretization is integrable. MI Lecture Note, Kyushu University
    Vitenskapelig artikkel
  • Owren, Brynjulf; Marthinsen, Arne. (1999) Runge-Kutta methods adapted to manifolds and based on rigid frames. BIT Numerical Mathematics
    Vitenskapelig artikkel
  • Jackiewicz, Zdzislaw; Owren, Brynjulf; Welfert, Bruno D.. (1998) Pseudospectra of waveform relaxation operators. Computers and Mathematics with Applications
    Vitenskapelig artikkel
  • Ekeland, Kersti; Owren, Brynjulf; Øines, Eivor. (1998) Stiffness detection and estimation of dominant spectra with explicit Runge-Kutta methods. ACM Transactions on Mathematical Software
    Vitenskapelig artikkel
  • Celledoni, Elena; Munthe-Kaas, Hans Zanna; Owren, Brynjulf Rustad; Munthe-Kaas, Antonella Zanna. (2024) PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART II. Journal of Computational Dynamics
    Fagartikkel
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; Kamp, Peter H. van der. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. Journal of Physics A: Mathematical and Theoretical
    Vitenskapelig artikkel
  • Celledoni, Elena; Munthe-Kaas, Hans Zanna; Owren, Brynjulf Rustad; Munthe-Kaas, Antonella Zanna. (2024) PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART I. Journal of Computational Dynamics
    Fagartikkel
  • Curry, Charles Henry Alexander; Owren, Brynjulf. (2016) A Computationally Inexpensive Coordinate Map for Lie Group Integrators. MI Lecture Note, Kyushu University
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Owren, Brynjulf. (2019) Variable step size commutator free Lie group integrators. Numerical Algorithms
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2016) Two classes of quadratic vector fields for which the Kahan discretization is completely integrable MI Lecture Note Vol.74 : Kyushu University. MI Lecture Note, Kyushu University
    Vitenskapelig artikkel
  • Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. Advances in Computational Mathematics
    Vitenskapelig artikkel
  • Celledoni, Elena; Marthinsen, Håkon; Owren, Brynjulf. (2014) An introduction to Lie group integrators - basics, new developments and applications. Journal of Computational Physics
    Vitenskapelig artikkel
  • Celledoni, Elena; Owren, Brynjulf; Sun, Yajuan. (2014) The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method. Mathematics of Computation
    Vitenskapelig artikkel
  • Celledoni, Elena; Murari, Davide; Owren, Brynjulf Rustad; Schonlieb, Carola-Bibiane; Sherry, Ferdia. (2023) DYNAMICAL SYSTEMS - BASED NEURAL NETWORKS. SIAM Journal on Scientific Computing
    Vitenskapelig artikkel
  • Casas, Fernando; Owren, Brynjulf. (2003) Cost Efficient Lie Group Integrators in the RKMK Class. BIT Numerical Mathematics
    Vitenskapelig artikkel
  • Celledoni, Elena; Owren, Brynjulf. (2003) Lie group methods for rigid body dynamics and time integration on manifolds. Computer Methods in Applied Mechanics and Engineering
    Vitenskapelig artikkel
  • Jackiewicz, Zdzislaw; Marthinsen, Arne; Owren, Brynjulf. (2000) Construction of Runge-Kutta methods of Crouch-Grossman type of high order. Advances in Computational Mathematics
    Vitenskapelig artikkel
  • Christiansen, Snorre H; Munthe-Kaas, Hans; Owren, Brynjulf. (2011) Topics in structure-preserving discretization. Acta Numerica
    Vitenskapelig oversiktsartikkel
  • Berland, Håvard; Owren, Brynjulf; Skaflestad, Bård. (2006) Solving the nonlinear Schrodinger equation using exponential integrators. MIC Journal: Modeling, Identification and Control
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Reinout, Quispel; Wright, Will. (2009) Energy-preserving Runge-Kutta methods. Modélisation mathématique et analyse numérique
    Vitenskapelig artikkel
  • Celledoni, Elena; Owren, Brynjulf. (2003) On the Implementation of Lie Group Methods on the Stiefel Manifold. Numerical Algorithms
    Vitenskapelig artikkel
  • Celledoni, Elena; Marthinsen, Arne; Owren, Brynjulf. (2003) Commutator-free Lie group methods. Future Generation Computer Systems
    Vitenskapelig artikkel
  • Zanna, Antonella; Owren, Brynjulf. (2019) Holmboeprisen 2018. Tangenten - Tidsskrift for matematikkundervisning
    Populærvitenskapelig artikkel
  • Owren, Brynjulf. (2001) Quadrature methods based on the Cayley transform. Applied Numerical Mathematics
    Vitenskapelig artikkel
  • Celledoni, Elena; Jackaman, James; Murari, Davide; Owren, Brynjulf Rustad. (2025) Predictions based on pixel data: Insights from PDEs and finite differences. Journal of Computational Physics
    Vitenskapelig artikkel
  • Berland, Håvard; Owren, Brynjulf; Skaflestad, Bård. (2005) B-series and order conditions for exponential integrators. SIAM Journal on Numerical Analysis
    Vitenskapelig artikkel
  • Sherry, Ferdia; Celledoni, Elena; Ehrhardt, Matthias J.; Murari, Davide; Owren, Brynjulf Rustad; Schönlieb, Carola-Bibiane. (2024) Designing stable neural networks using convex analysis and ODEs. Physica D : Non-linear phenomena
    Vitenskapelig artikkel
  • Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2008) Symmetric exponential integrators for the nonlinear Schroedinger equation. Foundations of Computational Mathematics
    Vitenskapelig artikkel
  • Marthinsen, Arne; Owren, Brynjulf. (2001) A note on the construction of Crouch-Grossman methods. BIT Numerical Mathematics
    Vitenskapelig artikkel
  • Owren, Brynjulf. (2018) Holmboeprisen 2017. Tangenten - Tidsskrift for matematikkundervisning
    Populærvitenskapelig artikkel
  • Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane. (2019) Deep learning as optimal control problems: models and numerical methods. Journal of Computational Dynamics
    Vitenskapelig artikkel
  • Owren, Brynjulf; Marthinsen, Arne. (2001) Integration methods based on canonical coordinates of the second kind. Numerische Mathematik
    Vitenskapelig artikkel
  • Owren, Brynjulf; Welfert, Bruno. (2000) The Newton Iteration on Lie Groups. BIT Numerical Mathematics
    Vitenskapelig artikkel
  • Tapley, Benjamin Kwanen; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2022) Computational geometric methods for preferential clustering of particle suspensions. Journal of Computational Physics
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, Robert I.; McLaren, David; Owren, Brynjulf; Quispel, G. R. W.. (2014) Integrability properties of Kahanʼs method. Journal of Physics A: Mathematical and Theoretical
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf; Quispel, G.R.W.. (2013) Geometric properties of Kahan's method. Journal of Physics A: Mathematical and Theoretical
    Vitenskapelig artikkel
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) On conjugate B-series and their geometric structure. Journal on Numerical Analysis Industrial and Applied Mathematics
    Vitenskapelig artikkel
  • Owren, Brynjulf. (2011) Werner Romberg: "Vereinfachte numerische Integration''. Skrifter
    Populærvitenskapelig artikkel
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) Energy-Preserving Integrators and the Structure of B-series. Foundations of Computational Mathematics
    Vitenskapelig artikkel
  • Dahlby, Morten; Owren, Brynjulf; Yaguchi, Takaharu. (2011) Preserving multiple first integrals by discrete gradients. Journal of Physics A: Mathematical and Theoretical
    Vitenskapelig artikkel
  • Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf. (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org
    Vitenskapelig artikkel
  • Owren, Brynjulf. (2006) Order conditions for commutator-free Lie group methods. Journal of Physics A: Mathematical and General
    Vitenskapelig artikkel

Bøker

  • Munthe-Kaas, Hans; Owren, Brynjulf. (2008) Mathematics and Computation, a Contemporary View: The Abel Symposium 2006. Springer
    Antologi

Del av bok/rapport

  • Ohm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons.
    Vitenskapelig kapittel
  • Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series.
    Vitenskapelig kapittel

Rapport

  • Dahlby, Morten Lien; Owren, Brynjulf. (2008) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. Institutt for matematiske fag
    Forskningsrapport
  • Marthinsen, Håkon; Owren, Brynjulf. (2014) Geometric integration of non-autonomous Hamiltonian problems. arxiv
    Forskningsrapport
  • Casas, Fernando; Owren, Brynjulf. (2002) Cost efficient Lie group integrators in the RKMK class. [Mangler utgivernavn]
    Forskningsrapport
  • Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving Runge-Kutta methods. NTNU Institutt for matematiske fag
    Forskningsrapport
  • Berland, Håvard; Owren, Brynjulf. (2003) Algebraic Structures on Ordered Rooted Trees and Their Significance to Lie Group Integrators. Institutt for matematiske fag, Norges teknisk-naturvitenskapelige univ
    Forskningsrapport
  • Owren, Brynjulf; Kværnø, Anne; Kozlov, Roman. (2003) The behaviour of the local error in splitting methods applied to stiff problems. Institutt for matematiske fag, NTNU
    Forskningsrapport
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Energy-preserving integrators and the structure of B-series. IMF, NTNU
    Forskningsrapport
  • Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2006) Symmetric exponential integrators for the cubic Schroedinger equation. Institutt for Matematiske fag, NTNU
    Forskningsrapport
  • Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2015) Adaptive Energy Preserving Methods for Partial Differential Equations. arXiv.org
    Forskningsrapport
  • Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.. (2015) Discretization of polynomial vector fields by polarization. arXiv.org
    Forskningsrapport
  • Celledoni, Elena; Owren, Brynjulf. (2001) A class of low complexity intrinsic schemes for orthogonal integration. Institutt for matematiske fag, NTNU.
    Forskningsrapport
  • Enright, Wayne H.; Higham, Desmond J.; Owren, Brynjulf; Sharp, Philip W.. (1994) A Survey of the Explicit Runge-Kutta Method. Department of Computer Science, University of Toronto
    Forskningsrapport
  • Marthinsen, Arne; Owren, Brynjulf. (1999) Quadrature Methods Based on the Cayley Transform. Institutt for matematiske fag, NTNU.
    Forskningsrapport
  • Kozlov, Roman; Owren, Brynjulf. (1999) Order reduction in operator splitting methods. Institutt for matematiske fag, NTNU
    Forskningsrapport
  • Jackiewicz, Zdzislaw; Marthinsen, Arne; Owren, Brynjulf. (1999) Construction of Runge-Kutta Methods of Crouch-Grossman Type of High Order. Institutt for matematiske fag, NTNU
    Forskningsrapport
  • Dahlby, Morten Lien; Owren, Brynjulf; Yaguchi, Takaharu. (2010) Preserving multiple first integrals by discrete gradients. NTNU, Department of Mathematical Sciences
    Forskningsrapport
  • Dahlby, Morten Lien; Owren, Brynjulf. (2010) A general framework for deriving integral preserving numerical methods for PDEs. NTNU, Department of Mathematical Sciences
    Forskningsrapport
  • Munthe-Kaas, Hans; Owren, Brynjulf. (1998) Computations in a free Lie algebra. Institutt for informatikk
    Forskningsrapport
  • Celledoni, Elena; Grimm, V; McLachlan, I. Robert; McLaren, David; O'Neale, Dion; Owren, Brynjulf; Quispel, Reinout. (2009) Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method. Institutt for matematiske fag, NTNU
    Forskningsrapport
  • Murari, Davide; Celledoni, Elena; Owren, Brynjulf Rustad; Sherry, Ferdia; Schönlieb, Carola-Bibiane. (2022) Structure preserving neural networks based on ODEs. NeurIPS 2022 Workshop DLDE homepage
    Forskningsrapport

Studentoppgave eller avhandling

  • Jasa, Hajg; Bergmann, Ronny; Owren, Brynjulf Rustad. (2026) Algorithms for Nonsmooth Optimization on Riemannian Manifolds, and Applications. Norges teknisk-naturvitenskapelige universitet
    Doktoravhandling
  • Ringholm, Torbjørn; Owren, Brynjulf; Celledoni, Elena. (2018) Discrete gradient methods in image processing and partial differential equations on moving meshes. Norges teknisk-naturvitenskapelige universitet
    Doktoravhandling
  • Marthinsen, Håkon; Owren, Brynjulf. (2014) On symplectic integration in Lie groups and manifolds. Norges teknisk-naturvitenskapelige universitet
    Doktoravhandling
  • Amaya, Manuel; Owren, Brynjulf. (2015) High-order optimization methods for large-scale 3D CSEM data inversion. Norges teknisk-naturvitenskapelige universitet
    Doktoravhandling

Undervisning

Emner

  • TMA4125 - Matematikk 4N
  • TMA4413 - Matematikk 2D: Lineær algebra og differensialligninger
  • MA8404 - Numerisk integrasjon av tidsavhengige differensialligninger
  • INGT1002 - Programmering, numerikk og sikkerhet
  • TMA4320 - Introduksjon til vitenskapelige beregninger

Formidling

2022

  • Aviskronikk
    Haugen, Kjetil K.; Solberg, Harry Arne; Sætre, Irene Lange; Kringstad, Morten; Gammelsæter, Hallgeir; Vik, Erlend; Heen, Knut Peder; Loktu, Morten; Halse, Lise Lillebrygfjeld; Strandhagen, Jan Ola. (2022) Fra toppen av Haugen : historien gjentar seg for tabelltipping-kongen.
  • Aviskronikk
    Haugen, Kjetil K.; Solberg, Harry Arne; Sætre, Irene Lange; Loktu, Morten; Guvåg, Bjørn; Owren, Brynjulf; Kringstad, Morten; Halse, Lise Lillebrygfjeld; Hansson, Lisa; Vik, Erlend. (2022) Fra toppen av Haugen : årets vinner er fra NTNU.

2020

  • Aviskronikk
    Haugen, Kjetil K.; Strandhagen, Jan Ola; Solberg, Harry Arne; Kringstad, Morten; Owren, Brynjulf; Hansson, Lisa; Halse, Lise Lillebrygfjeld; Sætre, Irene Lange; Heen, Knut Peder; Gammelsæter, Hallgeir. (2020) Fra toppen av Haugen : svensk norgesmester i verdensklasse.

2019

  • Aviskronikk
    Haugen, Kjetil K.; Owren, Brynjulf; Strandhagen, Jan Ola; Kringstad, Morten; Solberg, Harry Arne; Guvåg, Bjørn; Hauge, Olav; Gammelsæter, Hallgeir; Heen, Knut Peder; Hvattum, Lars Magnus. (2019) Fra toppen av Haugen : tabelltips 2019: stadig norgesmester fra Molde.
  • Konferanseforedrag
    Ohm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons. 10th National Conference on Computational Mechanics

2018

  • Konferanseforedrag
    Owren, Brynjulf. (2018) Numerical methods that conserve or dissipate energy on Riemannian manifolds. Modern Numerical Methods for Quantum Mechanics II
  • Konferanseforedrag
    Owren, Brynjulf. (2018) Structure preserving time integration schemes in computational mechanics. ASME 2018 IDETC/CIE
  • Konferanseforedrag
    Owren, Brynjulf; Curry, Charles Henry Alexander. (2018) Adaptive time-stepping in commutator-free Lie group integrators. NUMDIFF-15
  • Aviskronikk
    Haugen, Kjetil K.; Heen, Knut Peder; Hauge, Olav; Gammelsæter, Hallgeir; Guvåg, Bjørn; Kringstad, Morten; Solberg, Harry Arne; Owren, Brynjulf; Strandhagen, Jan Ola. (2018) Fra toppen av Haugen : dobbelt norgesmester.
  • Konferanseforedrag
    Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. (2018) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Auckland Numerical Ordinary Differential Equations Conference
  • Konferanseforedrag
    Owren, Brynjulf. (2018) Discrete gradient methods on Riemannian manifolds. ANODE 2018

2017

  • Konferanseposter
    Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Ohm, Laurel; Owren, Brynjulf; Zhao, Lihao. (2017) Splitting method integration of non-spherical particles in shear flow. FoCM 2017
  • Konferanseforedrag
    Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Energy preserving moving mesh methods for PDEs. SciCADE 2017
  • Aviskronikk
    Haugen, Kjetil K.; Hauge, Olav; Guvåg, Bjørn; Gammelsæter, Hallgeir; Heen, Knut Peder; Owren, Brynjulf; Strandhagen, Jan Ola; Kringstad, Morten; Solberg, Harry Arne. (2017) Fra toppen av Haugen : norgesmester fra Molde.
  • Konferanseforedrag
    Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. Manifolds and Geometric Integration Colloqium
  • Konferanseforedrag
    Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Energy preserving moving mesh methods for PDEs. CHiPS (Challenges in the Preservation of Structure) Workshop 2017
  • Konferanseforedrag
    Owren, Brynjulf; Eidnes, Sølve; Ringholm, Torbjørn. (2017) Integral preserving methods on moving grids. Connections in Geometric Numerical Integration and Structure-Preserving Discretization
  • Konferanseforedrag
    Owren, Brynjulf; Celledoni, Elena; Parks, Helen; Kjer, Vanje Rebni. (2017) Model reduction in Lie group integration. SciCADE 2017
  • Konferanseforedrag
    Owren, Brynjulf; Celledoni, Elena; Parks, Helen; Kjer, Vanje Rebni. (2017) Structure preserving model reduction on manifolds. From computation to information: recent advances in numerical analysis
  • Konferanseforedrag
    Owren, Brynjulf; Curry, Charles Henry Alexander. (2017) Coordinate maps on Lie groups and their relation to root systems. MaGIC 2017
  • Konferanseforedrag
    Owren, Brynjulf; Celledoni, Elena; Parks, Helen; Kjer, Vanje Rebni. (2017) Structure preserving model reduction on Lie groups. ChiPS kickoff meeting
  • Konferanseforedrag
    Owren, Brynjulf; Eidnes, Sølve; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. FoCM 2017

2016

  • Konferanseforedrag
    Owren, Brynjulf. (2016) Structure preserving model reduction on Lie groups. Geometric integration
  • Konferanseforedrag
    Owren, Brynjulf. (2016) Geometric integration methods in model reduction. MaGIC
  • Konferanseforedrag
    Owren, Brynjulf; Eidnes, Sølve; Ringholm, Torbjørn. (2016) Energy preserving methods for PDEs on moving meshes. SDIDE 2016

2015

  • Konferanseforedrag
    Owren, Brynjulf; Celledoni, Elena. (2015) Structure-preserving discretization of differential equations. AARMS-PIMS Summer School in Differential Equations and Numerical Analysis
  • Konferanseforedrag
    Owren, Brynjulf. (2015) Structure preserving model reduction on Lie groups. International Conference on Scientific Computation And Differential Equations 2015
  • Konferanseforedrag
    Owren, Brynjulf. (2015) Energy preserving integrators for PDEs on moving meshes. Bluenose Applied and Computational Math Days Workshop
  • Konferanseforedrag
    Owren, Brynjulf. (2015) Energy preserving methods for PDEs on moving meshes. NATW seminar, KU Leuven
  • Konferanseforedrag
    Owren, Brynjulf. (2015) Discretization of polynomial vector fields by polarization. MaGIC
  • Konferanseforedrag
    Owren, Brynjulf. (2015) An introduction to Lie group integrators. Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series

2014

  • Konferanseforedrag
    Owren, Brynjulf; Marthinsen, Håkon. (2014) A new look at geometric integrators for nonautonomous linear systems. AIMS 2014
  • Konferanseforedrag
    Owren, Brynjulf; Marthinsen, Håkon. (2014) On canonical integrators for nonautonomous systems. KCNADE 2014
  • Konferanseforedrag
    Owren, Brynjulf. (2014) Integral preserving numerical integrators for PDEs on moving meshes. FoCM'2014

2013

  • Konferanseforedrag
    Owren, Brynjulf; Celledoni, Elena; McLachlan, Robert I.; Quispel, G.R.W.. (2013) Kahan's integrator for quadratic problems and its geometric properties. Magic 2013
  • Konferanseforedrag
    Celledoni, Elena; Owren, Brynjulf. (2013) Lie group methods for numerical simulation of mechanical systems. Nordic seminar in Computational Mechanics
  • Konferanseforedrag
    Celledoni, Elena; Owren, Brynjulf. (2013) Lie group integrators and preservation of first integrals. MAGiC
  • Konferanseforedrag
    Owren, Brynjulf; Celledoni, Elena. (2013) Kahan's method and its geometric properties. Equadiff 2013
  • Konferanseforedrag
    Owren, Brynjulf. (2013) Integral preserving methods on moving grids. SciCADE 2013
  • Konferanseforedrag
    Celledoni, Elena; Owren, Brynjulf. (2013) Integral preserving Lie group integrators. TNADE

2012

  • Konferanseforedrag
    Owren, Brynjulf; Celledoni, Elena. (2012) Lie group integrators and the preservation of first integrals. Structured Matrix Computations in non-Euclidean Geometries: Algorithms and Applications
  • Konferanseforedrag
    Celledoni, Elena; Owren, Brynjulf. (2012) The Kahan's method and its geometric properties. Structured Matrix Computations in non-Euclidean Geometries: Algorithms and Applications

2011

  • Konferanseforedrag
    Owren, Brynjulf. (2011) On the preservation of first integrals in numerical integrators. 9th International Conference of Numerical Analysis and Applied Mathematics
  • Konferanseforedrag
    Owren, Brynjulf. (2011) On energy preserving Runge-Kutta methods for polynomial Hamiltonian systems. Foundations of Computational Mathematics

2010

  • Konferanseforedrag
    Owren, Brynjulf; Dahlby, Morten Lien. (2010) Integral preserving numerical integrators for PDEs. New geometric and numeric tools for the analysis of differential equations
  • Konferanseforedrag
    Owren, Brynjulf. (2010) Linearly implicit conservative numerical integrators for PDEs. TRAGIC 2010, Tasmanian Rigorous Analysis and Geometric Integration Conference

2009

  • Konferanseforedrag
    Owren, Brynjulf. (2009) On the construction and behavior of semi-explicit, conservative finite difference schemes for Hamiltonian PDEs. International Conference on Spectral and High Order Methods
  • Konferanseforedrag
    Owren, Brynjulf; Celledoni, Elena; McLachlan, I. Robert; Quispel, Reinout. (2009) Structure of B-series for some classes of geometric integrators. 7th International Conference of Numerical Analysis and Applied Mathematics
  • Konferanseforedrag
    Owren, Brynjulf. (2009) The Averaged Vector Field Method and its Applications to Hamiltonian PDEs. SciCADE 2009
  • Konferanseforedrag
    Owren, Brynjulf. (2009) Numerical computation of motion in Lie groups and subriemannian geometries. International Conference of sub-Riemannian Geometry and Vision
  • Konferanseforedrag
    Owren, Brynjulf; Dahlby, Morten Lien. (2009) On Conservative, Linearly Implicit Difference Schemes for Hamiltonian PDEs. Workshop on Structure-Preserving Methods for Partial Differential Equations
  • Konferanseforedrag
    Owren, Brynjulf; Dahlby, Morten Lien. (2009) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. MAGIC 2009

2008

  • Konferanseforedrag
    Owren, Brynjulf. (2008) Geometric integrators for the Camassa-Holm equation. Workshop ved Tsinghuauniversitetet, Beijing
  • Konferanseforedrag
    Owren, Brynjulf. (2008) Exponential integrators for second order systems. Instituttseminar ved Institutt for matematikk, Universitetet i Geneve
  • Konferanseforedrag
    Owren, Brynjulf. (2008) Energy preserving methods for Hamiltonian problems. Instituttseminar ved Institutt for matematikk, Universitetet i Basel
  • Konferanseforedrag
    Owren, Brynjulf. (2008) Lie Group Integrators -- an introduction. Workshop, Chinese Academy of Science
  • Konferanseforedrag
    Owren, Brynjulf. (2008) Numerics, Renormalization, and Noncommutative Geometry -- it's an ART. Seminar ved Institutt for Matematikk, Massey University
  • Konferanseforedrag
    Owren, Brynjulf. (2008) Geometric Integration of Differential Equations on Manifolds. 13th International Congress on Computational and Applied Mathematics
  • Konferanseforedrag
    Owren, Brynjulf. (2008) Energy preserving methods for Hamiltonian problems. Numerical Modelling of Complex Dynamical Systems
  • Konferanseforedrag
    Owren, Brynjulf. (2008) Energy conserving integrators. International Conference of Numerical Analysis and Applied Mathematics 2008

2007

  • Konferanseforedrag
    Owren, Brynjulf. (2007) Preserving first integrals in LS-series integrators. International Conference on SCIentific Computation And Differential Equations

2005

  • Konferanseforedrag
    Owren, Brynjulf. (2005) Geometric Integrators for the Nonlinear Schr¨odinger Equation. Foundations of Computational Mathematics
  • Konferanseforedrag
    Owren, Brynjulf. (2005) Geometric Integrators for the Nonlinear Schr¨odinger Equation. International Conference on Scientific Computation and Differential Equations

2003

  • Konferanseforedrag
    Owren, Brynjulf. (2003) Algebraic structures on ordered rooted trees and their significance to Lie group integrators. International Conference on SCIentific Computation And Differential Equations

2002

  • Konferanseforedrag
    Owren, Brynjulf. (2002) Lie group methods and their expansions. CSC02 -- Conference on Scientific Computation

2001

  • Konferanseforedrag
    Owren, Brynjulf. (2001) Lie group integrators. Geometry Symmetry and Mechanics I
  • Konferanseforedrag
    Owren, Brynjulf. (2001) Numerical integration methods using Lie group actions. Australasian Research Symposium on Lie Groups, Algebraic Groups, Quantum Groups, and Their Representations (LAQ'2001)
  • Konferanseforedrag
    Owren, Brynjulf. (2001) Commutator free Lie group methods. International Workshop on Structure-Preserving Algorithms
  • Konferanseforedrag
    Owren, Brynjulf. (2001) Tree expansions of Lie group methods. International Conference on Scientific Computation and Differential Equations

2000

  • Konferanseforedrag
    Owren, Brynjulf. (2000) A Lie algebraic approach to analysing the error in splitting methods. LMS Durham Symposium, Geometric Integration.
  • Konferanseforedrag
    Owren, Brynjulf. (2000) Lie Group Integrators. Research Symposium on Geometric Integration

1999

  • Konferanseforedrag
    Owren, Brynjulf. (1999) Are Lie Group Methods Affordable?. FoCM'99

1997

  • Foredrag
    Marthinsen, Arne; Owren, Brynjulf. (1997) Integration of dynamical systems on manifolds. 4th U.S. National Congress on Computational Mechanics

1992

  • Konferanseforedrag
    Owren, Brynjulf; Zennaro, Marino. (1992) Continuous explicit Runge-Kutta methods. Computational Ordinary Differential Equations

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