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English

Brynjulf Owren

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
  • Se alle publikasjoner i Cristin

2022

  • Haugen, Kjetil K.; Solberg, Harry Arne; Sætre, Irene Lange; Kringstad, Morten; Gammelsæter, Hallgeir; Vik, Erlend. (2022) Fra toppen av Haugen : historien gjentar seg for tabelltipping-kongen. Panorama : nettavis for Høgskolen i Molde
    Kronikk
  • 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
    Rapport
  • 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
  • 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
  • Haugen, Kjetil K.; Solberg, Harry Arne; Sætre, Irene Lange; Loktu, Morten; Guvåg, Bjørn; Owren, Brynjulf. (2022) Fra toppen av Haugen : årets vinner er fra NTNU. Panorama : nettavis for Høgskolen i Molde
    Kronikk

2021

  • 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
  • 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. (2021) Structure preserving deep learning. European journal of applied mathematics
    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
  • Haugen, Kjetil K.; Strandhagen, Jan Ola; Solberg, Harry Arne; Kringstad, Morten; Owren, Brynjulf; Hansson, Lisa. (2020) Fra toppen av Haugen : svensk norgesmester i verdensklasse. Panorama : nettavis for Høgskolen i Molde
    Kronikk

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
  • Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf. (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org
    Vitenskapelig artikkel
  • Zanna, Antonella; Owren, Brynjulf. (2019) Holmboeprisen 2018. Tangenten - Tidsskrift for matematikkundervisning
    Populærvitenskapelig 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
  • 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
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org
    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
  • Haugen, Kjetil K.; Owren, Brynjulf; Strandhagen, Jan Ola; Kringstad, Morten; Solberg, Harry Arne; Guvåg, Bjørn. (2019) Fra toppen av Haugen : tabelltips 2019: stadig norgesmester fra Molde. Panorama : nettavis for Høgskolen i Molde
    Kronikk
  • Ohm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons. International Center for Numerical Methods in Engineering (CIMNE)
    Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin. (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
  • van der Kamp, Peter H.; 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; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation
    Vitenskapelig artikkel

2018

  • Ringholm, Torbjørn; Owren, Brynjulf; Celledoni, Elena. (2018) Discrete gradient methods in image processing and partial differential equations on moving meshes. NTNU
    Doktorgradsavhandling
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2018) The Magnus expansion and Post-Lie algebras. arXiv.org
    Vitenskapelig artikkel
  • Haugen, Kjetil K.; Owren, Brynjulf. (2018) Predicting football tables by a maximally parsimonious model. Mathematics for applications
    Vitenskapelig artikkel
  • Haugen, Kjetil K.; Heen, Knut Peder; Hauge, Olav; Gammelsæter, Hallgeir; Guvåg, Bjørn; Kringstad, Morten. (2018) Fra toppen av Haugen : dobbelt norgesmester. Panorama : nettavis for Høgskolen i Molde
    Kronikk
  • Owren, Brynjulf. (2018) Holmboeprisen 2017. Tangenten - Tidsskrift for matematikkundervisning
    Populærvitenskapelig 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
  • 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

2017

  • Haugen, Kjetil K.; Hauge, Olav; Guvåg, Bjørn; Gammelsæter, Hallgeir; Heen, Knut Peder; Owren, Brynjulf. (2017) Fra toppen av Haugen : norgesmester fra Molde. Panorama : nettavis for Høgskolen i Molde
    Kronikk
  • Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. Advances in Computational Mathematics
    Vitenskapelig artikkel
  • Owren, Brynjulf. (2017) Holmboeprisvinneren 2016. Tangenten - Tidsskrift for matematikkundervisning
    Populærvitenskapelig artikkel

2016

  • 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
  • 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

2015

  • Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2015) Adaptive Energy Preserving Methods for Partial Differential Equations. arXiv.org
    Rapport
  • Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.. (2015) Discretization of polynomial vector fields by polarization. arXiv.org
    Rapport
  • 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. Doktoravhandlinger ved NTNU (273)
    Doktorgradsavhandling

2014

  • Marthinsen, Håkon; Owren, Brynjulf. (2014) On symplectic integration in Lie groups and manifolds. Doktoravhandlinger ved NTNU (332)
    Doktorgradsavhandling
  • 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
  • Marthinsen, Håkon; Owren, Brynjulf. (2014) Geometric integration of non-autonomous Hamiltonian problems. arxiv
    Rapport
  • 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; 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. (2014) Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems. Series A
    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. (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; Yaguchi, Takaharu. (2011) Preserving multiple first integrals by discrete gradients. Journal of Physics A: Mathematical and Theoretical
    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
  • Christiansen, Snorre H; Munthe-Kaas, Hans; Owren, Brynjulf. (2011) Topics in structure-preserving discretization. Acta Numerica
    Vitenskapelig oversiktsartikkel/review
  • Owren, Brynjulf. (2011) Werner Romberg: "Vereinfachte numerische Integration''. Skrifter
    Populærvitenskapelig artikkel

2010

  • Dahlby, Morten Lien; Owren, Brynjulf. (2010) A general framework for deriving integral preserving numerical methods for PDEs. NTNU, Department of Mathematical Sciences
    Rapport
  • Dahlby, Morten Lien; Owren, Brynjulf; Yaguchi, Takaharu. (2010) Preserving multiple first integrals by discrete gradients. NTNU, Department of Mathematical Sciences
    Rapport
  • 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
    Rapport
  • Celledoni, Elena; Grimm, V; McLachlan, I. Robert; McLaren, David; O'Neale, Dion; Owren, Brynjulf. (2009) Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method. Institutt for matematiske fag, NTNU
    Rapport
  • 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; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Reinout, Quispel; Wright, Will. (2009) Energy-preserving Runge-Kutta methods. Mathematical Modelling and Numerical Analysis
    Vitenskapelig artikkel
  • Dahlby, Morten Lien; Owren, Brynjulf. (2009) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. Mathematical Modelling and Numerical Analysis
    Vitenskapelig artikkel

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
    Rapport
  • Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving Runge-Kutta methods. NTNU Institutt for matematiske fag
    Rapport
  • Munthe-Kaas, Hans; Owren, Brynjulf. (2008) Mathematics and Computation, a Contemporary View: The Abel Symposium 2006. Springer Springer
    Vitenskapelig antologi/Konferanseserie
  • Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series.
    Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
  • Cohen, David; Owren, Brynjulf; Raynaud, Xavier. (2008) Multi-symplectic integration of the Camassa–Holm equation. Journal of Computational Physics
    Vitenskapelig artikkel
  • 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
    Rapport
  • Owren, Brynjulf. (2006) Order conditions for commutator-free Lie group methods. Journal of Physics A: Mathematical and General
    Vitenskapelig artikkel
  • Berland, Håvard; Owren, Brynjulf; Skaflestad, Bård. (2006) Solving the nonlinear Schrodinger equation using exponential integrators. MIC Journal: Modeling, Identification and Control
    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

  • 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
    Rapport
  • Owren, Brynjulf; Kværnø, Anne; Kozlov, Roman. (2003) The behaviour of the local error in splitting methods applied to stiff problems. Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
    Rapport
  • 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 generations computer systems
    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
  • Casas, F; Owren, Brynjulf. (2003) Cost efficient Lie group integrators in the RKMK class. Applied Numerical Mathematics
    Vitenskapelig artikkel
  • Casas, Fernando; Owren, Brynjulf. (2003) Cost Efficient Lie Group Integrators in the RKMK Class. BIT Numerical Mathematics
    Vitenskapelig artikkel

2002

  • Casas, Fernando; Owren, Brynjulf. (2002) Cost efficient Lie group integrators in the RKMK class. Preprint Numerics, Department of Mathematical Sciences, NTNU (5/2002)
    Rapport
  • 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. Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
    Rapport
  • Owren, Brynjulf. (2001) Quadrature methods based on the Cayley transform. Applied Numerical Mathematics
    Vitenskapelig artikkel
  • Owren, Brynjulf; Marthinsen, Arne. (2001) Integration methods based on canonical coordinates of the second kind. Numerische Mathematik
    Vitenskapelig artikkel
  • Marthinsen, Arne; Owren, Brynjulf. (2001) A note on the construction of Crouch-Grossman methods. BIT Numerical Mathematics
    Vitenskapelig artikkel

2000

  • Owren, Brynjulf; Welfert, Bruno. (2000) The Newton Iteration on Lie Groups. BIT Numerical Mathematics
    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

1999

  • Jackiewicz, Zdzislaw; Marthinsen, Arne; Owren, Brynjulf. (1999) Construction of Runge-Kutta Methods of Crouch-Grossman Type of High Order. Preprint Numerics, Department of Mathematical Sciences, NTNU (4)
    Rapport
  • Marthinsen, Arne; Owren, Brynjulf. (1999) Quadrature Methods Based on the Cayley Transform. Preprint series Numerics (1999/1)
    Rapport
  • Kozlov, Roman; Owren, Brynjulf. (1999) Order reduction in operator splitting methods. Preprint Numerics, Department of Mathematical Sciences, NTNU (6)
    Rapport
  • 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

1998

  • Munthe-Kaas, Hans; Owren, Brynjulf. (1998) Computations in a free Lie algebra. Reports in Informatics (148)
    Rapport
  • 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

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
    Rapport

1993

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

  • Haugen, Kjetil K.; Solberg, Harry Arne; Sætre, Irene Lange; Kringstad, Morten; Gammelsæter, Hallgeir; Vik, Erlend. (2022) Fra toppen av Haugen : historien gjentar seg for tabelltipping-kongen. Panorama : nettavis for Høgskolen i Molde
    Kronikk
  • 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
  • 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
  • Haugen, Kjetil K.; Solberg, Harry Arne; Sætre, Irene Lange; Loktu, Morten; Guvåg, Bjørn; Owren, Brynjulf. (2022) Fra toppen av Haugen : årets vinner er fra NTNU. Panorama : nettavis for Høgskolen i Molde
    Kronikk
  • 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
  • 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. (2021) Structure preserving deep learning. European journal of applied mathematics
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2020) The Magnus expansion and post-Lie algebras. Mathematics of Computation
    Vitenskapelig artikkel
  • Haugen, Kjetil K.; Strandhagen, Jan Ola; Solberg, Harry Arne; Kringstad, Morten; Owren, Brynjulf; Hansson, Lisa. (2020) Fra toppen av Haugen : svensk norgesmester i verdensklasse. Panorama : nettavis for Høgskolen i Molde
    Kronikk
  • 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
  • Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf. (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org
    Vitenskapelig artikkel
  • Zanna, Antonella; Owren, Brynjulf. (2019) Holmboeprisen 2018. Tangenten - Tidsskrift for matematikkundervisning
    Populærvitenskapelig 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
  • 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
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org
    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
  • Haugen, Kjetil K.; Owren, Brynjulf; Strandhagen, Jan Ola; Kringstad, Morten; Solberg, Harry Arne; Guvåg, Bjørn. (2019) Fra toppen av Haugen : tabelltips 2019: stadig norgesmester fra Molde. Panorama : nettavis for Høgskolen i Molde
    Kronikk
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin. (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
  • van der Kamp, Peter H.; 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; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2018) The Magnus expansion and Post-Lie algebras. arXiv.org
    Vitenskapelig artikkel
  • Haugen, Kjetil K.; Owren, Brynjulf. (2018) Predicting football tables by a maximally parsimonious model. Mathematics for applications
    Vitenskapelig artikkel
  • Haugen, Kjetil K.; Heen, Knut Peder; Hauge, Olav; Gammelsæter, Hallgeir; Guvåg, Bjørn; Kringstad, Morten. (2018) Fra toppen av Haugen : dobbelt norgesmester. Panorama : nettavis for Høgskolen i Molde
    Kronikk
  • Owren, Brynjulf. (2018) Holmboeprisen 2017. Tangenten - Tidsskrift for matematikkundervisning
    Populærvitenskapelig 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
  • 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
  • Haugen, Kjetil K.; Hauge, Olav; Guvåg, Bjørn; Gammelsæter, Hallgeir; Heen, Knut Peder; Owren, Brynjulf. (2017) Fra toppen av Haugen : norgesmester fra Molde. Panorama : nettavis for Høgskolen i Molde
    Kronikk
  • Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. Advances in Computational Mathematics
    Vitenskapelig artikkel
  • Owren, Brynjulf. (2017) Holmboeprisvinneren 2016. Tangenten - Tidsskrift for matematikkundervisning
    Populærvitenskapelig 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
  • 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
  • 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
  • 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; 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; 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. (2014) Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems. Series A
    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; Grimm, Volker; McLachlan, Robert I.; McLaren, David; O'Neale, Dion; Owren, Brynjulf. (2012) Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method. Journal of Computational Physics
    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
  • 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/review
  • Owren, Brynjulf. (2011) Werner Romberg: "Vereinfachte numerische Integration''. Skrifter
    Populærvitenskapelig 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
  • 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
  • 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; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Reinout, Quispel; Wright, Will. (2009) Energy-preserving Runge-Kutta methods. Mathematical Modelling and Numerical Analysis
    Vitenskapelig artikkel
  • Dahlby, Morten Lien; Owren, Brynjulf. (2009) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. Mathematical Modelling and Numerical Analysis
    Vitenskapelig artikkel
  • Cohen, David; Owren, B; Raynaud, X. (2008) Symplectic integration of the Carnassa-Holm equation. 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; Cohen, David; Owren, Brynjulf. (2008) Symmetric exponential integrators for the nonlinear Schroedinger equation. Foundations of Computational Mathematics
    Vitenskapelig artikkel
  • Owren, Brynjulf. (2006) Order conditions for commutator-free Lie group methods. Journal of Physics A: Mathematical and General
    Vitenskapelig artikkel
  • Berland, Håvard; Owren, Brynjulf; Skaflestad, Bård. (2006) Solving the nonlinear Schrodinger equation using exponential integrators. MIC Journal: Modeling, Identification and Control
    Vitenskapelig artikkel
  • Berland, Håvard; Owren, Brynjulf; Skaflestad, Bård. (2005) B-series and order conditions for exponential integrators. SIAM Journal on Numerical Analysis
    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
  • 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 generations computer systems
    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
  • Casas, F; Owren, Brynjulf. (2003) Cost efficient Lie group integrators in the RKMK class. Applied Numerical Mathematics
    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. (2002) A class of intrinsic schemes for orthogonal integration. SIAM Journal on Numerical Analysis
    Vitenskapelig artikkel
  • Owren, Brynjulf. (2001) Quadrature methods based on the Cayley transform. Applied Numerical Mathematics
    Vitenskapelig artikkel
  • Owren, Brynjulf; Marthinsen, Arne. (2001) Integration methods based on canonical coordinates of the second kind. Numerische Mathematik
    Vitenskapelig artikkel
  • Marthinsen, Arne; Owren, Brynjulf. (2001) A note on the construction of Crouch-Grossman methods. BIT Numerical Mathematics
    Vitenskapelig artikkel
  • Owren, Brynjulf; Welfert, Bruno. (2000) The Newton Iteration on Lie Groups. BIT Numerical Mathematics
    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
  • 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
  • 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
  • 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
  • Nørsett, Syvert Paul; Kværnø, Anne; Owren, Brynjulf. (1996) Runge-Kutta research in Trondheim. Applied Numerical Mathematics
    Vitenskapelig artikkel
  • Muir, Paul; Owren, Brynjulf. (1993) Order Barriers and characterizations for continuous mono-implicit Runge-Kutta schemes. Mathematics of Computation
    Vitenskapelig artikkel
  • Landrø, Martin; Zaalberg-Metselaar, Gitta; Owren, Brynjulf; Vaage, Svein. (1993) Modeling of water-gun signatures. Geophysics
    Vitenskapelig artikkel
  • Owren, Brynjulf; Zennaro, Marino. (1992) Derivation of efficient, continuous explicit Runge-Kutta methods. SIAM Journal of Scientific and Statistical Computing
    Vitenskapelig artikkel
  • 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
  • Owren, Brynjulf; Seip, Kristian. (1990) Some stability results for explicit Runge-Kutta methods. BIT Numerical Mathematics
    Vitenskapelig artikkel

Bøker

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

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. International Center for Numerical Methods in Engineering (CIMNE)
    Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
  • Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series.
    Vitenskapelig Kapittel/Artikkel/Konferanseartikkel

Rapport

  • 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
    Rapport
  • Ringholm, Torbjørn; Owren, Brynjulf; Celledoni, Elena. (2018) Discrete gradient methods in image processing and partial differential equations on moving meshes. NTNU
    Doktorgradsavhandling
  • Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2015) Adaptive Energy Preserving Methods for Partial Differential Equations. arXiv.org
    Rapport
  • Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.. (2015) Discretization of polynomial vector fields by polarization. arXiv.org
    Rapport
  • Amaya, Manuel; Owren, Brynjulf. (2015) High-order optimization methods for large-scale 3D CSEM data inversion. Doktoravhandlinger ved NTNU (273)
    Doktorgradsavhandling
  • Marthinsen, Håkon; Owren, Brynjulf. (2014) On symplectic integration in Lie groups and manifolds. Doktoravhandlinger ved NTNU (332)
    Doktorgradsavhandling
  • Marthinsen, Håkon; Owren, Brynjulf. (2014) Geometric integration of non-autonomous Hamiltonian problems. arxiv
    Rapport
  • Dahlby, Morten Lien; Owren, Brynjulf. (2010) A general framework for deriving integral preserving numerical methods for PDEs. NTNU, Department of Mathematical Sciences
    Rapport
  • Dahlby, Morten Lien; Owren, Brynjulf; Yaguchi, Takaharu. (2010) Preserving multiple first integrals by discrete gradients. NTNU, Department of Mathematical Sciences
    Rapport
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Energy-preserving integrators and the structure of B-series. IMF, NTNU
    Rapport
  • Celledoni, Elena; Grimm, V; McLachlan, I. Robert; McLaren, David; O'Neale, Dion; Owren, Brynjulf. (2009) Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method. Institutt for matematiske fag, NTNU
    Rapport
  • Dahlby, Morten Lien; Owren, Brynjulf. (2008) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. Institutt for matematiske fag
    Rapport
  • Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving Runge-Kutta methods. NTNU Institutt for matematiske fag
    Rapport
  • Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2006) Symmetric exponential integrators for the cubic Schroedinger equation. Institutt for Matematiske fag, NTNU
    Rapport
  • 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
    Rapport
  • Owren, Brynjulf; Kværnø, Anne; Kozlov, Roman. (2003) The behaviour of the local error in splitting methods applied to stiff problems. Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
    Rapport
  • Casas, Fernando; Owren, Brynjulf. (2002) Cost efficient Lie group integrators in the RKMK class. Preprint Numerics, Department of Mathematical Sciences, NTNU (5/2002)
    Rapport
  • Celledoni, Elena; Owren, Brynjulf. (2001) A class of low complexity intrinsic schemes for orthogonal integration. Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
    Rapport
  • Jackiewicz, Zdzislaw; Marthinsen, Arne; Owren, Brynjulf. (1999) Construction of Runge-Kutta Methods of Crouch-Grossman Type of High Order. Preprint Numerics, Department of Mathematical Sciences, NTNU (4)
    Rapport
  • Marthinsen, Arne; Owren, Brynjulf. (1999) Quadrature Methods Based on the Cayley Transform. Preprint series Numerics (1999/1)
    Rapport
  • Kozlov, Roman; Owren, Brynjulf. (1999) Order reduction in operator splitting methods. Preprint Numerics, Department of Mathematical Sciences, NTNU (6)
    Rapport
  • Munthe-Kaas, Hans; Owren, Brynjulf. (1998) Computations in a free Lie algebra. Reports in Informatics (148)
    Rapport
  • 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
    Rapport

Undervisning

Emner

  • TMA4125 - Matematikk 4N
  • MA8404 - Numerisk integrasjon av tidsavhengige differensialligninger
  • TMA4130 - Matematikk 4N

Formidling

2019

  • Vitenskapelig foredrag
    Ohm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons. Faculty of Engineering NTNU 10th National Conference on Computational Mechanics , Trondheim 2019-06-03 - 2019-06-04

2018

  • Vitenskapelig foredrag
    Owren, Brynjulf. (2018) Numerical methods that conserve or dissipate energy on Riemannian manifolds. University of Gdansk Modern Numerical Methods for Quantum Mechanics II , Gdansk 2018-06-27 - 2018-06-29
  • Vitenskapelig foredrag
    Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. (2018) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. University of Auckland Auckland Numerical Ordinary Differential Equations Conference , Auckland 2018-02-19 - 2018-02-23
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2018) Discrete gradient methods on Riemannian manifolds . University of Auckland ANODE 2018 , Auckland 2018-02-19 - 2018-02-23
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2018) Structure preserving time integration schemes in computational mechanics. ASME 2018 IDETC/CIE , Quebec 2018-08-26 - 2018-08-29
  • Vitenskapelig foredrag
    Owren, Brynjulf; Curry, Charles Henry Alexander. (2018) Adaptive time-stepping in commutator-free Lie group integrators. NUMDIFF-15 2018-09-03 - 2018-09-07

2017

  • Vitenskapelig foredrag
    Owren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Structure preserving model reduction on Lie groups. NTNU ChiPS kickoff meeting , Trondheim 2017-06-27 - 2017-06-30
  • Vitenskapelig foredrag
    Owren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Structure preserving model reduction on manifolds. From computation to information: recent advances in numerical analysis , Cambridge 2017-08-31 - 2017-09-01
  • Vitenskapelig foredrag
    Owren, Brynjulf; Eidnes, Sølve; Ringholm, Torbjørn. (2017) Integral preserving methods on moving grids. BIRS Connections in Geometric Numerical Integration and Structure-Preserving Discretization , Banff 2017-06-12 - 2017-06-16
  • Vitenskapelig foredrag
    Owren, Brynjulf; Curry, Charles Henry Alexander. (2017) Coordinate maps on Lie groups and their relation to root systems. Universitetet i Bergen MaGIC 2017 , Vatnahalsen 2017-03-02 - 2017-03-05
  • Vitenskapelig foredrag
    Owren, Brynjulf; Eidnes, Sølve; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. University of Barcelona FoCM 2017 2017-07-10 - 2017-07-19
  • Vitenskapelig foredrag
    Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. UiB Manifolds and Geometric Integration Colloqium , Vatnahalsen 2017-03-01 - 2017-03-05
  • Vitenskapelig foredrag
    Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Energy preserving moving mesh methods for PDEs. SciCADE 2017 , University of Bath 2017-09-11 - 2017-09-15
  • Poster
    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 , Barcelona 2017-07-10 - 2017-07-19
  • Vitenskapelig foredrag
    Owren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Model reduction in Lie group integration. University of Bath SciCADE 2017 , Bath 2017-09-11 - 2017-09-15
  • Vitenskapelig foredrag
    Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Energy preserving moving mesh methods for PDEs. NTNU CHiPS (Challenges in the Preservation of Structure) Workshop 2017 , NTNU, Trondheim 2017-06-27 - 2017-06-30

2016

  • Vitenskapelig foredrag
    Owren, Brynjulf; Eidnes, Sølve; Ringholm, Torbjørn. (2016) Energy preserving methods for PDEs on moving meshes. Universitet i Trieste SDIDE 2016 , Trieste 2016-06-21 - 2016-06-24
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2016) Geometric integration methods in model reduction. MaGIC , Ilsetra, Lillehammer 2016-02-18 - 2016-02-21
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2016) Structure preserving model reduction on Lie groups. MFO Geometric integration , Oberwolfach 2016-03-21 - 2016-03-25

2015

  • Vitenskapelig foredrag
    Owren, Brynjulf. (2015) Energy preserving integrators for PDEs on moving meshes. St. Mary's University Bluenose Applied and Computational Math Days Workshop , Halifax 2015-07-11 - 2015-07-12
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2015) An introduction to Lie group integrators. ICMAT, Universidad Autónoma de Madrid Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series , Madrid 2015-05-25 - 2015-05-28
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2015) Structure preserving model reduction on Lie groups. International Conference on Scientific Computation And Differential Equations 2015 , Potsdam University 2015-09-14 - 2015-09-18
  • Vitenskapelig foredrag
    Owren, Brynjulf; Celledoni, Elena. (2015) Structure-preserving discretization of differential equations. AARMS/PIMS AARMS-PIMS Summer School in Differential Equations and Numerical Analysis , Halifax 2015-07-06 - 2015-07-31
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2015) Energy preserving methods for PDEs on moving meshes. NATW seminar, KU Leuven 2015-05-13 - 2015-05-13
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2015) Discretization of polynomial vector fields by polarization. MaGIC 2015-02-26 - 2015-03-01

2014

  • Vitenskapelig foredrag
    Owren, Brynjulf; Marthinsen, Håkon. (2014) A new look at geometric integrators for nonautonomous linear systems. American Institute of Mathematical Sciences AIMS 2014 , Madrid 2014-07-07 - 2014-07-11
  • Vitenskapelig foredrag
    Owren, Brynjulf; Marthinsen, Håkon. (2014) On canonical integrators for nonautonomous systems. University of Tokyo KCNADE 2014 , Kyoto 2014-09-16 - 2014-09-19
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2014) Integral preserving numerical integrators for PDEs on moving meshes. FoCM'2014 , Montevideo 2014-12-11 - 2014-12-20

2013

  • Vitenskapelig foredrag
    Celledoni, Elena; Owren, Brynjulf. (2013) Lie group integrators and preservation of first integrals. NTNU and UiB MAGiC , Geilo 2013-02-26 - 2013-03-01
  • Vitenskapelig foredrag
    Celledoni, Elena; Owren, Brynjulf. (2013) Lie group methods for numerical simulation of mechanical systems. Nordic seminar in Computational Mechanics 2013-10-23 - 2013-10-25
  • Vitenskapelig foredrag
    Celledoni, Elena; Owren, Brynjulf. (2013) Integral preserving Lie group integrators. ICMAT K Ebrahimi-Fard TNADE , Madrid 2013-07-08 - 2013-07-12
  • Vitenskapelig foredrag
    Owren, Brynjulf; Celledoni, Elena. (2013) Kahan's method and its geometric properties. Equadiff 2013 2013-08-20 - 2013-08-30
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2013) Integral preserving methods on moving grids. Universitad de Valladolid SciCADE 2013 2013-09-16 - 2013-09-20
  • Vitenskapelig foredrag
    Owren, Brynjulf; Celledoni, Elena; McLachlan, Robert I.; Quispel, G.R.W.. (2013) Kahan's integrator for quadratic problems and its geometric properties. UiB, NTNU Magic 2013 , Geilo 2013-02-25 - 2013-03-01

2012

  • Vitenskapelig foredrag
    Celledoni, Elena; Owren, Brynjulf. (2012) The Kahan's method and its geometric properties. Ahmed SALAM et al. Structured Matrix Computations in non-Euclidean Geometries: Algorithms and Applications , CIRM, Lumini 2012-10-08 - 2012-10-12
  • Vitenskapelig foredrag
    Owren, Brynjulf; Celledoni, Elena. (2012) Lie group integrators and the preservation of first integrals. Ahmed SALAM et al. Structured Matrix Computations in non-Euclidean Geometries: Algorithms and Applications , CIRM, Lumini 2012-10-08 - 2012-10-12

2011

  • Vitenskapelig foredrag
    Owren, Brynjulf. (2011) On energy preserving Runge-Kutta methods for polynomial Hamiltonian systems. Foundations of Computational Mathematics , Budapest 2011-07-04 - 2011-07-14
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2011) On the preservation of first integrals in numerical integrators. 9th International Conference of Numerical Analysis and Applied Mathematics , Chalkidiki 2011-09-19 - 2011-09-25

2010

  • Vitenskapelig foredrag
    Owren, Brynjulf; Dahlby, Morten Lien. (2010) Integral preserving numerical integrators for PDEs. Banff International Research Station New geometric and numeric tools for the analysis of differential equations 2010-08-13 - 2010-08-15
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2010) Linearly implicit conservative numerical integrators for PDEs. La Trobe University, Victoria, Australia TRAGIC 2010, Tasmanian Rigorous Analysis and Geometric Integration Conference , Launceston, Tasmania 2010-12-13 - 2010-12-16

2009

  • Vitenskapelig foredrag
    Owren, Brynjulf; Dahlby, Morten Lien. (2009) On Conservative, Linearly Implicit Difference Schemes for Hamiltonian PDEs. The University of Tokyo Workshop on Structure-Preserving Methods for Partial Differential Equations , Tokyo 2009-03-17 - 2889-03-19
  • Vitenskapelig foredrag
    Owren, Brynjulf; Dahlby, Morten Lien. (2009) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. Numerics groups, NTNU and UiB MAGIC 2009 , Hornsjø, Lillehammer 2009-03-02 - 2009-03-06
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2009) The Averaged Vector Field Method and its Applications to Hamiltonian PDEs. Chinese Academy of Science SciCADE 2009 , Beijing 2009-05-25 - 2009-05-29
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2009) On the construction and behavior of semi-explicit, conservative finite difference schemes for Hamiltonian PDEs. NTNU International Conference on Spectral and High Order Methods , Trondheim 2009-06-22 - 2009-06-26
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2009) Numerical computation of motion in Lie groups and subriemannian geometries. University of Bologna International Conference of sub-Riemannian Geometry and Vision , Bologna 2009-08-31 - 2009-09-03
  • Vitenskapelig foredrag
    Owren, Brynjulf; Celledoni, Elena; McLachlan, I. Robert; Quispel, Reinout. (2009) Structure of B-series for some classes of geometric integrators. T. E. Simos 7th International Conference of Numerical Analysis and Applied Mathematics , Rethymno, Crete 2009-09-18 - 2009-09-22

2008

  • Vitenskapelig foredrag
    Owren, Brynjulf. (2008) Lie Group Integrators -- an introduction. Jialin Hong Workshop, Chinese Academy of Science , Beijing 2008-06-12 - 2008-06-12
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2008) Energy preserving methods for Hamiltonian problems. David Cohen Instituttseminar ved Institutt for matematikk, Universitetet i Basel , Basel 2008-03-28 - 2008-03-28
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2008) Exponential integrators for second order systems. Ernst Hairer Instituttseminar ved Institutt for matematikk, Universitetet i Geneve , Geneve 2008-11-16 - 2008-11-16
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2008) Numerics, Renormalization, and Noncommutative Geometry -- it's an ART. Robert McLachlan Seminar ved Institutt for Matematikk, Massey University , Palmerston North 2008-01-29 - 2008-01-29
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2008) Geometric Integration of Differential Equations on Manifolds. Universtietet i Gent og Universitetet i Leuven 13th International Congress on Computational and Applied Mathematics , Gent 2008-07-07 - 2008-07-11
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2008) Energy preserving methods for Hamiltonian problems. Lorentz center Numerical Modelling of Complex Dynamical Systems , Leiden 2008-05-06 - 2008-05-09
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2008) Energy conserving integrators. Th Simos International Conference of Numerical Analysis and Applied Mathematics 2008 , Kos 2008-09-16 - 2008-09-20
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2008) Geometric integrators for the Camassa-Holm equation. Professor Bao Workshop ved Tsinghuauniversitetet, Beijing , Beijing 2008-06-18 - 2008-06-18

2007

  • Vitenskapelig foredrag
    Owren, Brynjulf. (2007) Preserving first integrals in LS-series integrators. INRIA International Conference on SCIentific Computation And Differential Equations , St Malo 2007-07-09 - 2007-07-13

2005

  • Vitenskapelig foredrag
    Owren, Brynjulf. (2005) Geometric Integrators for the Nonlinear Schr¨odinger Equation. Nagoya University International Conference on Scientific Computation and Differential Equations , Nagoya 2005-05-23 - 2005-05-27
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2005) Geometric Integrators for the Nonlinear Schr¨odinger Equation. Foundations of Computational Mathematics Foundations of Computational Mathematics , Santander 2005-06-30 - 2005-07-09

2003

  • Vitenskapelig foredrag
    Owren, Brynjulf. (2003) Algebraic structures on ordered rooted trees and their significance to Lie group integrators. NTNU International Conference on SCIentific Computation And Differential Equations , Trondheim 2003-06-30 - 2003-07-04

2002

  • Vitenskapelig foredrag
    Owren, Brynjulf. (2002) Lie group methods and their expansions. CSC02 -- Conference on Scientific Computation , Geneve, Switzerland 2002-06-29 -

2001

  • Vitenskapelig foredrag
    Owren, Brynjulf. (2001) Tree expansions of Lie group methods. University of British Columbia (PIMS) International Conference on Scientific Computation and Differential Equations , Vancouver 2001-07-29 - 2001-08-02
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2001) Commutator free Lie group methods. International Workshop on Structure-Preserving Algorithms , Beijing, Kina, 25-31 mars
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2001) Lie group integrators. Geometry Symmetry and Mechanics I , Lisbon, 11- 16 July 2001
  • Vitenskapelig foredrag
    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) , Auckland, New Zealand 2001-12-07 -

2000

  • Vitenskapelig foredrag
    Owren, Brynjulf. (2000) A Lie algebraic approach to analysing the error in splitting methods. LMS Durham Symposium, Geometric Integration. , Durham, England, 13-23 juli, 2000.
  • Vitenskapelig foredrag
    Owren, Brynjulf. (2000) Lie Group Integrators. Research Symposium on Geometric Integration , La Trobe University, Melbourne, 10-16 desember.

1999

  • Vitenskapelig foredrag
    Owren, Brynjulf. (1999) Are Lie Group Methods Affordable?. FoCM'99 , Oxford, England, 18-28 juli, 1999.

1997

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

1992

  • Vitenskapelig foredrag
    Owren, Brynjulf; Zennaro, Marino. (1992) Continuous explicit Runge-Kutta methods. Computational Ordinary Differential Equations , London, July 1989
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