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Norsk

Brynjulf Owren

Brynjulf Owren

Professor
Department of Mathematical Sciences

brynjulf.owren@ntnu.no
+4773593518 +4793021641 Sentralbygg 2, 1350, Gløshaugen, Alfred Getz vei 1
About Publications Teaching Media

About

CV

Brynjulf Owren has been a professor at the Department of Mathematical Sciences since January 1994. He belongs to the research group Differential Equations and Numerical Analysis.

Main area of research

Numerical analysis of ordinary and partial dfferential equations, initial value problems, integration methods for dfferential equations on manifolds (geometric integration). Mathematical modelling.

Academic degrees

  • Doktoringeniør (PhD) in Numerical Analysis at the Norwegian Institute of Technology (NTH) (1990) Continuous Explicit Runge-Kutta Methods with Applications to Ordinary and Delay Differential Equations, advisor: Professor S.P. Nørsett.
  • Sivilingeniør (Master of Science) in Physics and Mathematics at NTH, 1984. Main subject: Numerical mathematics. MSc thesis: Acoustic response in oil wells (in Norwegian).

Work experience

  • 1994- current: Professor at the Department of Mathematical Sciences, NTNU
  • 2012-2017: Vice Dean of Education at the Faculty of Information Technology and Electrical Engineering, NTNU. 
  • 1992-1993 Førsteamanuensis (Assistant professor) at the Department of Mathematics and Statistics, University of Trondheim
  • 1990-1992 Postdoctoral fellow at Department of Computer Science, University of Toronto.
  • 1990 Lecturer at the Norwegian Institute of Technology.
  • 1987-1989 Ph.D. fellowship from NTH.
  • 1986 Research assistant (vitenskapelig assistent) at Department of Mathematical Sciences, NTH.
  • 1988-90 Research scientist (forsker), part time, at SINTEF Industrial Mathematics, Trondheim, Norway.
  • 1985-1988 Research Geophysicist at SERES A/S, Trondheim, Norway.
  • Supervised 10 PhD students (current and former) and 31 M.Sc. students.

Memberships, leadership experience (selection)

  • President of the Norwegian Mathematical Council from 2015
  • Member of Board of Directors of SEFI (European Society for Engineering Education) 2012-2015
  • President of the Norwegian Mathematical Society 2007{2011 (board member since 2004)Council member of ECMI 2007{2011 (European Consortium for Mathematics in Industry).
  • Leader of special year in Geometric Integration, Center for Advanced Study, Oslo, 2002-2003 (coorganised with Prof Munthe-Kaas, University of Bergen)
  • Leader of 2004–2007, and of study programme in Physics and Math, NTNU, 2008–2012Board member of UNIK, 2015- (University Graduate Center at Kjeller)
  • Board member of the Norwegian Mathematical Council

Some later research projects

  • GALA. EU Sixth Framework Programme, STREP project 2006–2009. Leader for Trondheim node.
  • 3D CSEM. Inversion and Modeling 2012–2015. Joint project between NTNU and the company EMGS.
  • SPIRIT. Structure Preserving Integrators, discRete Integrable systems and algebraic combinaTorics. The Research Council of Norway, 2013–2017, Project leader.

See my CV for more detailed information.

Publications

  • Chronological
  • By category
  • See all publications in Cristin

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. volum 9 (4).
    Academic article
  • Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics.
    Academic article
  • Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators. Springer. 2022. ISBN 978-3-031-11818-0. Progress in industrial mathematics at ECMI (1).
    Scientific anthology
  • 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; Waagbø, Arild Johan; Guvåg, Bjørn; Einevoll, Gaute; Hauge, Olav; Hansson, Lisa; Nerland, Sølve Mikal Krekvik; Olstad, Asmund; Owren, Brynjulf. (2022) Fra toppen av Haugen : historien gjentar seg for tabelltipping-kongen. Panorama : nettavis for Høgskolen i Molde.
    Chronicle
  • Haugen, Kjetil K.; Solberg, Harry Arne; Sætre, Irene Lange; Loktu, Morten; Guvåg, Bjørn; Owren, Brynjulf; Kringstad, Morten; Halse, Lise Lillebrygfjeld; Hansson, Lisa; Vik, Erlend; Einevoll, Gaute; Heen, Knut Peder; Nerland, Sølve Mikal Krekvik; Hauge, Olav; Olstad, Asmund; Gammelsæter, Hallgeir; Strandhagen, Jan Ola. (2022) Fra toppen av Haugen : årets vinner er fra NTNU. Panorama : nettavis for Høgskolen i Molde.
    Chronicle
  • Murari, Davide; Celledoni, Elena; Owren, Brynjulf Rustad; Sherry, Ferdia; Schönlieb, Carola-Bibiane. (2022) Structure preserving neural networks based on ODEs. 2022.
    Report
  • Tapley, Benjamin Kwanen; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2022) Computational geometric methods for preferential clustering of particle suspensions. Journal of Computational Physics. volum 448.
    Academic article

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. volum 33 (4).
    Academic article
  • 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.
    Academic article
  • Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Equivariant neural networks for inverse problems. Inverse Problems. volum 37 (8).
    Academic article
  • Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2021) Lie Group integrators for mechanical systems. International Journal of Computer Mathematics.
    Academic article

2020

  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2020) The Magnus expansion and post-Lie algebras. Mathematics of Computation. volum 89 (326).
    Academic article
  • 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; Guvåg, Bjørn; Hauge, Olav; Vik, Erlend; Hvattum, Lars Magnus; Nerland, Sølve Mikal Krekvik. (2020) Fra toppen av Haugen : svensk norgesmester i verdensklasse. Panorama : nettavis for Høgskolen i Molde.
    Chronicle

2019

  • 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. volum 6 (2).
    Academic article
  • Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation. volum 89 (322).
    Academic article
  • 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.
    Academic article
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H.. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. Journal of Physics A: Mathematical and Theoretical. volum 52 (31).
    Academic article
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H.. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org.
    Academic article
  • 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. volum 52 (6).
    Academic article
  • Curry, Charles Henry Alexander; Owren, Brynjulf. (2019) Variable step size commutator free Lie group integrators. Numerical Algorithms. volum 82 (4).
    Academic article
  • 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; Vik, Erlend; Nerland, Sølve Mikal; Sande, Andre Bekkevold. (2019) Fra toppen av Haugen : tabelltips 2019: stadig norgesmester fra Molde. Panorama : nettavis for Høgskolen i Molde.
    Chronicle
  • Ohm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons. MekIT’19 - 10th National Conference on Computational Mechanics (Trondheim, Norway, 3-4 June 2019).
    Academic chapter/article
  • 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. volum 81 (4).
    Academic article
  • Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf. (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org.
    Academic article
  • 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. volum 52 (4).
    Academic article
  • Zanna, Antonella; Owren, Brynjulf. (2019) Holmboeprisen 2018. Tangenten - Tidsskrift for matematikkundervisning.
    Popular scientific article

2018

  • 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. volum 40 (6).
    Academic article
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2018) The Magnus expansion and Post-Lie algebras. arXiv.org.
    Academic article
  • 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. Panorama : nettavis for Høgskolen i Molde.
    Chronicle
  • Haugen, Kjetil K.; Owren, Brynjulf. (2018) Predicting football tables by a maximally parsimonious model. Mathematics for applications. volum 7 (2).
    Academic article
  • Owren, Brynjulf. (2018) Holmboeprisen 2017. Tangenten - Tidsskrift for matematikkundervisning.
    Popular scientific article
  • 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.
    Academic article

2017

  • Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. Advances in Computational Mathematics.
    Academic article
  • 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. Panorama : nettavis for Høgskolen i Molde.
    Chronicle
  • Owren, Brynjulf. (2017) Holmboeprisvinneren 2016. Tangenten - Tidsskrift for matematikkundervisning.
    Popular scientific article

2016

  • 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. volum 74.
    Academic article
  • 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. volum 74.
    Academic article
  • Curry, Charles Henry Alexander; Owren, Brynjulf. (2016) A Computationally Inexpensive Coordinate Map for Lie Group Integrators. MI Lecture Note, Kyushu University. volum 74.
    Academic article
  • Marthinsen, Håkon; Owren, Brynjulf. (2016) Geometric integration of non-autonomous linear Hamiltonian problems. Advances in Computational Mathematics. volum 42 (2).
    Academic article

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. volum 471:20150390.
    Academic article
  • Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.. (2015) Discretization of polynomial vector fields by polarization. 2015.
    Report
  • Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2015) Adaptive Energy Preserving Methods for Partial Differential Equations. 2015.
    Report

2014

  • Celledoni, Elena; Marthinsen, Håkon; Owren, Brynjulf. (2014) An introduction to Lie group integrators - basics, new developments and applications. Journal of Computational Physics. volum 257, Part B.
    Academic article
  • 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. volum 47 (36).
    Academic article
  • Celledoni, Elena; Owren, Brynjulf. (2014) Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems. Series A. volum 34 (3).
    Academic article
  • 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. volum 83 (288).
    Academic article
  • Marthinsen, Håkon; Owren, Brynjulf. (2014) Geometric integration of non-autonomous Hamiltonian problems. 2014.
    Report

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. volum 46 (2).
    Academic article

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. volum 231 (20).
    Academic article

2011

  • Christiansen, Snorre H; Munthe-Kaas, Hans; Owren, Brynjulf. (2011) Topics in structure-preserving discretization. Acta Numerica. volum 20.
    Scientific translation/review
  • Dahlby, Morten; Owren, Brynjulf. (2011) A General Framework for Deriving Integral Preserving Numerical Methods for PDEs. SIAM Journal on Scientific Computing. volum 33 (5).
    Academic article
  • Dahlby, Morten; Owren, Brynjulf; Yaguchi, Takaharu. (2011) Preserving multiple first integrals by discrete gradients. Journal of Physics A: Mathematical and Theoretical. volum 44 (30).
    Academic article
  • Owren, Brynjulf. (2011) Werner Romberg: "Vereinfachte numerische Integration''. Skrifter.
    Popular scientific article

2010

  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) Energy-Preserving Integrators and the Structure of B-series. Foundations of Computational Mathematics. volum 10 (6).
    Academic article
  • 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. volum 5 (1-2).
    Academic article
  • Dahlby, Morten Lien; Owren, Brynjulf. (2010) A general framework for deriving integral preserving numerical methods for PDEs. 2010.
    Report
  • Dahlby, Morten Lien; Owren, Brynjulf; Yaguchi, Takaharu. (2010) Preserving multiple first integrals by discrete gradients. 2010.
    Report

2009

  • 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. 2009.
    Report
  • Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Reinout, Quispel; Wright, Will. (2009) Energy-preserving Runge-Kutta methods. Mathematical Modelling and Numerical Analysis. volum 43 (4).
    Academic article
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Energy-preserving integrators and the structure of B-series. 2009.
    Report
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Structure of B-series for some classes of Geometric Integrators. AIP Conference Proceedings. volum 1168.
    Academic article
  • Dahlby, Morten Lien; Owren, Brynjulf. (2009) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. Mathematical Modelling and Numerical Analysis. volum 43 (4).
    Academic article

2008

  • Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2008) Symmetric exponential integrators for the nonlinear Schroedinger equation. Foundations of Computational Mathematics. volum 8.
    Academic article
  • Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving Runge-Kutta methods. 2008.
    Report
  • Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series. 21st Nordic Seminar on Computational Mechanics.
    Academic chapter/article
  • Cohen, David; Owren, B; Raynaud, X. (2008) Symplectic integration of the Carnassa-Holm equation. Journal of Computational Physics. volum 227.
    Academic article
  • Cohen, David; Owren, Brynjulf; Raynaud, Xavier. (2008) Multi-symplectic integration of the Camassa–Holm equation. Journal of Computational Physics. volum 227 (11).
    Academic article
  • Dahlby, Morten Lien; Owren, Brynjulf. (2008) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. 2008.
    Report
  • Munthe-Kaas, Hans; Owren, Brynjulf. (2008) Mathematics and Computation, a Contemporary View: The Abel Symposium 2006. Springer. 2008. ISBN 978-3-540-68848-8.
    Scientific anthology

2006

  • Berland, Håvard; Owren, Brynjulf; Skaflestad, Bård. (2006) Solving the nonlinear Schrodinger equation using exponential integrators. Modeling, Identification and Control. volum 27 (4).
    Academic article
  • Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2006) Symmetric exponential integrators for the cubic Schroedinger equation. 2006.
    Report
  • Owren, Brynjulf. (2006) Order conditions for commutator-free Lie group methods. Journal of Physics A: Mathematical and General. volum 39 (19).
    Academic article

2005

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

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. volum 195 (2).
    Academic article

2003

  • Berland, Håvard; Owren, Brynjulf. (2003) Algebraic Structures on Ordered Rooted Trees and Their Significance to Lie Group Integrators. 2003.
    Report
  • Casas, Fernando; Owren, Brynjulf. (2003) Cost Efficient Lie Group Integrators in the RKMK Class. BIT Numerical Mathematics. volum 43 (4).
    Academic article
  • Celledoni, Elena; Owren, Brynjulf. (2003) On the Implementation of Lie Group Methods on the Stiefel Manifold. Numerical Algorithms. volum 32.
    Academic article
  • Owren, Brynjulf; Kværnø, Anne; Kozlov, Roman. (2003) The behaviour of the local error in splitting methods applied to stiff problems. 2003. Preprint Numerics, Department of Mathematical Sciences, NTNU (1).
    Report
  • Casas, F; Owren, Brynjulf. (2003) Cost efficient Lie group integrators in the RKMK class. Applied Numerical Mathematics. volum 43.
    Academic article
  • Celledoni, Elena; Marthinsen, Arne; Owren, Brynjulf. (2003) Commutator-free Lie group methods. Future generations computer systems. volum 19 (3).
    Academic article
  • Celledoni, Elena; Owren, Brynjulf. (2003) Lie group methods for rigid body dynamics and time integration on manifolds. Computer Methods in Applied Mechanics and Engineering. volum 19 (3/4).
    Academic article

2002

  • Casas, Fernando; Owren, Brynjulf. (2002) Cost efficient Lie group integrators in the RKMK class. 2002. Preprint Numerics, Department of Mathematical Sciences, NTNU (5/2002).
    Report
  • Celledoni, Elena; Owren, Brynjulf. (2002) A class of intrinsic schemes for orthogonal integration. SIAM Journal on Numerical Analysis. volum 40 (6).
    Academic article

2001

  • Celledoni, Elena; Owren, Brynjulf. (2001) A class of low complexity intrinsic schemes for orthogonal integration. 2001. Preprint Numerics, Department of Mathematical Sciences, NTNU (1).
    Report
  • Marthinsen, Arne; Owren, Brynjulf. (2001) A note on the construction of Crouch-Grossman methods. BIT Numerical Mathematics. volum 41 (1).
    Academic article
  • Owren, Brynjulf. (2001) Quadrature methods based on the Cayley transform. Applied Numerical Mathematics. volum 39.
    Academic article
  • Owren, Brynjulf; Marthinsen, Arne. (2001) Integration methods based on canonical coordinates of the second kind. Numerische Mathematik. volum 87 (4).
    Academic article

2000

  • Jackiewicz, Zdzislaw; Marthinsen, Arne; Owren, Brynjulf. (2000) Construction of Runge-Kutta methods of Crouch-Grossman type of high order. Advances in Computational Mathematics. volum 13 (4).
    Academic article
  • Owren, Brynjulf; Welfert, Bruno. (2000) The Newton Iteration on Lie Groups. BIT Numerical Mathematics. volum 40 (1).
    Academic article

1999

  • Jackiewicz, Zdzislaw; Marthinsen, Arne; Owren, Brynjulf. (1999) Construction of Runge-Kutta Methods of Crouch-Grossman Type of High Order. 1999. Preprint Numerics, Department of Mathematical Sciences, NTNU (4).
    Report
  • Kozlov, Roman; Owren, Brynjulf. (1999) Order reduction in operator splitting methods. 1999. Preprint Numerics, Department of Mathematical Sciences, NTNU (6).
    Report
  • Marthinsen, Arne; Owren, Brynjulf. (1999) Quadrature Methods Based on the Cayley Transform. 1999. Preprint series Numerics (1999/1).
    Report
  • Munthe-Kaas, Hans; Owren, Brynjulf. (1999) Computations in a Free Lie Algebra. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. volum 357.
    Academic article
  • Owren, Brynjulf; Marthinsen, Arne. (1999) Runge-Kutta methods adapted to manifolds and based on rigid frames. BIT Numerical Mathematics. volum 39 (1).
    Academic article

1998

  • Ekeland, Kersti; Owren, Brynjulf; Øines, Eivor. (1998) Stiffness detection and estimation of dominant spectra with explicit Runge-Kutta methods. ACM Transactions on Mathematical Software. volum 24 (4).
    Academic article
  • Jackiewicz, Zdzislaw; Owren, Brynjulf; Welfert, Bruno D.. (1998) Pseudospectra of waveform relaxation operators. Computers and Mathematics with Applications. volum 36 (8).
    Academic article
  • Munthe-Kaas, Hans; Owren, Brynjulf. (1998) Computations in a free Lie algebra. 1998. Reports in Informatics (148).
    Report

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. Modeling, Identification and Control. volum 18 (1).
    Academic article

1996

  • Nørsett, Syvert Paul; Kværnø, Anne; Owren, Brynjulf. (1996) Runge-Kutta research in Trondheim. Applied Numerical Mathematics. volum 22.
    Academic article

1994

  • Enright, Wayne H.; Higham, Desmond J.; Owren, Brynjulf; Sharp, Philip W.. (1994) A Survey of the Explicit Runge-Kutta Method. 1994.
    Report

1993

  • Landrø, Martin; Zaalberg-Metselaar, Gitta; Owren, Brynjulf; Vaage, Svein. (1993) Modeling of water-gun signatures. Geophysics. volum 58 (1).
    Academic article
  • Muir, Paul; Owren, Brynjulf. (1993) Order Barriers and characterizations for continuous mono-implicit Runge-Kutta schemes. Mathematics of Computation. volum 61 (204).
    Academic article

1992

  • Owren, Brynjulf; Zennaro, Marino. (1992) Derivation of efficient, continuous explicit Runge-Kutta methods. SIAM Journal of Scientific and Statistical Computing. volum 13 (6).
    Academic article

1991

  • Owren, Brynjulf; Seip, Kristian. (1991) A uniqueness result related to the stability of explicit Runge-Kutta methods. BIT Numerical Mathematics. volum 31 (2).
    Academic article
  • Owren, Brynjulf; Zennaro, Marino. (1991) Order barriers for continuous explicit Runge-Kutta methods. Mathematics of Computation. volum 56 (194).
    Academic article

1990

  • Owren, Brynjulf; Seip, Kristian. (1990) Some stability results for explicit Runge-Kutta methods. BIT Numerical Mathematics. volum 30 (4).
    Academic article

Scientific articles

  • 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. volum 9 (4).
    Academic article
  • Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics.
    Academic article
  • Tapley, Benjamin Kwanen; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2022) Computational geometric methods for preferential clustering of particle suspensions. Journal of Computational Physics. volum 448.
    Academic article
  • 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. volum 33 (4).
    Academic article
  • 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.
    Academic article
  • Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Equivariant neural networks for inverse problems. Inverse Problems. volum 37 (8).
    Academic article
  • Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2021) Lie Group integrators for mechanical systems. International Journal of Computer Mathematics.
    Academic article
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2020) The Magnus expansion and post-Lie algebras. Mathematics of Computation. volum 89 (326).
    Academic article
  • 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. volum 6 (2).
    Academic article
  • Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation. volum 89 (322).
    Academic article
  • 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.
    Academic article
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H.. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. Journal of Physics A: Mathematical and Theoretical. volum 52 (31).
    Academic article
  • Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H.. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org.
    Academic article
  • 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. volum 52 (6).
    Academic article
  • Curry, Charles Henry Alexander; Owren, Brynjulf. (2019) Variable step size commutator free Lie group integrators. Numerical Algorithms. volum 82 (4).
    Academic article
  • 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. volum 81 (4).
    Academic article
  • Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf. (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org.
    Academic article
  • 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. volum 52 (4).
    Academic article
  • 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. volum 40 (6).
    Academic article
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2018) The Magnus expansion and Post-Lie algebras. arXiv.org.
    Academic article
  • Haugen, Kjetil K.; Owren, Brynjulf. (2018) Predicting football tables by a maximally parsimonious model. Mathematics for applications. volum 7 (2).
    Academic article
  • 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.
    Academic article
  • Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. Advances in Computational Mathematics.
    Academic article
  • 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. volum 74.
    Academic article
  • 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. volum 74.
    Academic article
  • Curry, Charles Henry Alexander; Owren, Brynjulf. (2016) A Computationally Inexpensive Coordinate Map for Lie Group Integrators. MI Lecture Note, Kyushu University. volum 74.
    Academic article
  • Marthinsen, Håkon; Owren, Brynjulf. (2016) Geometric integration of non-autonomous linear Hamiltonian problems. Advances in Computational Mathematics. volum 42 (2).
    Academic article
  • 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. volum 471:20150390.
    Academic article
  • Celledoni, Elena; Marthinsen, Håkon; Owren, Brynjulf. (2014) An introduction to Lie group integrators - basics, new developments and applications. Journal of Computational Physics. volum 257, Part B.
    Academic article
  • 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. volum 47 (36).
    Academic article
  • Celledoni, Elena; Owren, Brynjulf. (2014) Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems. Series A. volum 34 (3).
    Academic article
  • 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. volum 83 (288).
    Academic article
  • 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. volum 46 (2).
    Academic article
  • 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. volum 231 (20).
    Academic article
  • Dahlby, Morten; Owren, Brynjulf. (2011) A General Framework for Deriving Integral Preserving Numerical Methods for PDEs. SIAM Journal on Scientific Computing. volum 33 (5).
    Academic article
  • Dahlby, Morten; Owren, Brynjulf; Yaguchi, Takaharu. (2011) Preserving multiple first integrals by discrete gradients. Journal of Physics A: Mathematical and Theoretical. volum 44 (30).
    Academic article
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) Energy-Preserving Integrators and the Structure of B-series. Foundations of Computational Mathematics. volum 10 (6).
    Academic article
  • 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. volum 5 (1-2).
    Academic article
  • Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Reinout, Quispel; Wright, Will. (2009) Energy-preserving Runge-Kutta methods. Mathematical Modelling and Numerical Analysis. volum 43 (4).
    Academic article
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Structure of B-series for some classes of Geometric Integrators. AIP Conference Proceedings. volum 1168.
    Academic article
  • Dahlby, Morten Lien; Owren, Brynjulf. (2009) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. Mathematical Modelling and Numerical Analysis. volum 43 (4).
    Academic article
  • Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2008) Symmetric exponential integrators for the nonlinear Schroedinger equation. Foundations of Computational Mathematics. volum 8.
    Academic article
  • Cohen, David; Owren, B; Raynaud, X. (2008) Symplectic integration of the Carnassa-Holm equation. Journal of Computational Physics. volum 227.
    Academic article
  • Cohen, David; Owren, Brynjulf; Raynaud, Xavier. (2008) Multi-symplectic integration of the Camassa–Holm equation. Journal of Computational Physics. volum 227 (11).
    Academic article
  • Berland, Håvard; Owren, Brynjulf; Skaflestad, Bård. (2006) Solving the nonlinear Schrodinger equation using exponential integrators. Modeling, Identification and Control. volum 27 (4).
    Academic article
  • Owren, Brynjulf. (2006) Order conditions for commutator-free Lie group methods. Journal of Physics A: Mathematical and General. volum 39 (19).
    Academic article
  • Berland, Håvard; Owren, Brynjulf; Skaflestad, Bård. (2005) B-series and order conditions for exponential integrators. SIAM Journal on Numerical Analysis.
    Academic article
  • Kværnø, Anne; Kozlov, Roman; Owren, Brynjulf. (2004) The behaviour of the local error in splitting methods applied to stiff problems. Journal of Computational Physics. volum 195 (2).
    Academic article
  • Casas, Fernando; Owren, Brynjulf. (2003) Cost Efficient Lie Group Integrators in the RKMK Class. BIT Numerical Mathematics. volum 43 (4).
    Academic article
  • Celledoni, Elena; Owren, Brynjulf. (2003) On the Implementation of Lie Group Methods on the Stiefel Manifold. Numerical Algorithms. volum 32.
    Academic article
  • Casas, F; Owren, Brynjulf. (2003) Cost efficient Lie group integrators in the RKMK class. Applied Numerical Mathematics. volum 43.
    Academic article
  • Celledoni, Elena; Marthinsen, Arne; Owren, Brynjulf. (2003) Commutator-free Lie group methods. Future generations computer systems. volum 19 (3).
    Academic article
  • Celledoni, Elena; Owren, Brynjulf. (2003) Lie group methods for rigid body dynamics and time integration on manifolds. Computer Methods in Applied Mechanics and Engineering. volum 19 (3/4).
    Academic article
  • Celledoni, Elena; Owren, Brynjulf. (2002) A class of intrinsic schemes for orthogonal integration. SIAM Journal on Numerical Analysis. volum 40 (6).
    Academic article
  • Marthinsen, Arne; Owren, Brynjulf. (2001) A note on the construction of Crouch-Grossman methods. BIT Numerical Mathematics. volum 41 (1).
    Academic article
  • Owren, Brynjulf. (2001) Quadrature methods based on the Cayley transform. Applied Numerical Mathematics. volum 39.
    Academic article
  • Owren, Brynjulf; Marthinsen, Arne. (2001) Integration methods based on canonical coordinates of the second kind. Numerische Mathematik. volum 87 (4).
    Academic article
  • Jackiewicz, Zdzislaw; Marthinsen, Arne; Owren, Brynjulf. (2000) Construction of Runge-Kutta methods of Crouch-Grossman type of high order. Advances in Computational Mathematics. volum 13 (4).
    Academic article
  • Owren, Brynjulf; Welfert, Bruno. (2000) The Newton Iteration on Lie Groups. BIT Numerical Mathematics. volum 40 (1).
    Academic article
  • Munthe-Kaas, Hans; Owren, Brynjulf. (1999) Computations in a Free Lie Algebra. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. volum 357.
    Academic article
  • Owren, Brynjulf; Marthinsen, Arne. (1999) Runge-Kutta methods adapted to manifolds and based on rigid frames. BIT Numerical Mathematics. volum 39 (1).
    Academic article
  • Ekeland, Kersti; Owren, Brynjulf; Øines, Eivor. (1998) Stiffness detection and estimation of dominant spectra with explicit Runge-Kutta methods. ACM Transactions on Mathematical Software. volum 24 (4).
    Academic article
  • Jackiewicz, Zdzislaw; Owren, Brynjulf; Welfert, Bruno D.. (1998) Pseudospectra of waveform relaxation operators. Computers and Mathematics with Applications. volum 36 (8).
    Academic article
  • 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. Modeling, Identification and Control. volum 18 (1).
    Academic article
  • Nørsett, Syvert Paul; Kværnø, Anne; Owren, Brynjulf. (1996) Runge-Kutta research in Trondheim. Applied Numerical Mathematics. volum 22.
    Academic article
  • Landrø, Martin; Zaalberg-Metselaar, Gitta; Owren, Brynjulf; Vaage, Svein. (1993) Modeling of water-gun signatures. Geophysics. volum 58 (1).
    Academic article
  • Muir, Paul; Owren, Brynjulf. (1993) Order Barriers and characterizations for continuous mono-implicit Runge-Kutta schemes. Mathematics of Computation. volum 61 (204).
    Academic article
  • Owren, Brynjulf; Zennaro, Marino. (1992) Derivation of efficient, continuous explicit Runge-Kutta methods. SIAM Journal of Scientific and Statistical Computing. volum 13 (6).
    Academic article
  • Owren, Brynjulf; Seip, Kristian. (1991) A uniqueness result related to the stability of explicit Runge-Kutta methods. BIT Numerical Mathematics. volum 31 (2).
    Academic article
  • Owren, Brynjulf; Zennaro, Marino. (1991) Order barriers for continuous explicit Runge-Kutta methods. Mathematics of Computation. volum 56 (194).
    Academic article
  • Owren, Brynjulf; Seip, Kristian. (1990) Some stability results for explicit Runge-Kutta methods. BIT Numerical Mathematics. volum 30 (4).
    Academic article

Journal publications

  • 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; Waagbø, Arild Johan; Guvåg, Bjørn; Einevoll, Gaute; Hauge, Olav; Hansson, Lisa; Nerland, Sølve Mikal Krekvik; Olstad, Asmund; Owren, Brynjulf. (2022) Fra toppen av Haugen : historien gjentar seg for tabelltipping-kongen. Panorama : nettavis for Høgskolen i Molde.
    Chronicle
  • Haugen, Kjetil K.; Solberg, Harry Arne; Sætre, Irene Lange; Loktu, Morten; Guvåg, Bjørn; Owren, Brynjulf; Kringstad, Morten; Halse, Lise Lillebrygfjeld; Hansson, Lisa; Vik, Erlend; Einevoll, Gaute; Heen, Knut Peder; Nerland, Sølve Mikal Krekvik; Hauge, Olav; Olstad, Asmund; Gammelsæter, Hallgeir; Strandhagen, Jan Ola. (2022) Fra toppen av Haugen : årets vinner er fra NTNU. Panorama : nettavis for Høgskolen i Molde.
    Chronicle
  • 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; Guvåg, Bjørn; Hauge, Olav; Vik, Erlend; Hvattum, Lars Magnus; Nerland, Sølve Mikal Krekvik. (2020) Fra toppen av Haugen : svensk norgesmester i verdensklasse. Panorama : nettavis for Høgskolen i Molde.
    Chronicle
  • 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; Vik, Erlend; Nerland, Sølve Mikal; Sande, Andre Bekkevold. (2019) Fra toppen av Haugen : tabelltips 2019: stadig norgesmester fra Molde. Panorama : nettavis for Høgskolen i Molde.
    Chronicle
  • Zanna, Antonella; Owren, Brynjulf. (2019) Holmboeprisen 2018. Tangenten - Tidsskrift for matematikkundervisning.
    Popular scientific article
  • 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. Panorama : nettavis for Høgskolen i Molde.
    Chronicle
  • Owren, Brynjulf. (2018) Holmboeprisen 2017. Tangenten - Tidsskrift for matematikkundervisning.
    Popular scientific article
  • 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. Panorama : nettavis for Høgskolen i Molde.
    Chronicle
  • Owren, Brynjulf. (2017) Holmboeprisvinneren 2016. Tangenten - Tidsskrift for matematikkundervisning.
    Popular scientific article
  • Christiansen, Snorre H; Munthe-Kaas, Hans; Owren, Brynjulf. (2011) Topics in structure-preserving discretization. Acta Numerica. volum 20.
    Scientific translation/review
  • Owren, Brynjulf. (2011) Werner Romberg: "Vereinfachte numerische Integration''. Skrifter.
    Popular scientific article

Books

  • Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators. Springer. 2022. ISBN 978-3-031-11818-0. Progress in industrial mathematics at ECMI (1).
    Scientific anthology
  • Munthe-Kaas, Hans; Owren, Brynjulf. (2008) Mathematics and Computation, a Contemporary View: The Abel Symposium 2006. Springer. 2008. ISBN 978-3-540-68848-8.
    Scientific anthology

Part of book/report

  • Ohm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons. MekIT’19 - 10th National Conference on Computational Mechanics (Trondheim, Norway, 3-4 June 2019).
    Academic chapter/article
  • Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series. 21st Nordic Seminar on Computational Mechanics.
    Academic chapter/article

Report

  • Murari, Davide; Celledoni, Elena; Owren, Brynjulf Rustad; Sherry, Ferdia; Schönlieb, Carola-Bibiane. (2022) Structure preserving neural networks based on ODEs. 2022.
    Report
  • Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.. (2015) Discretization of polynomial vector fields by polarization. 2015.
    Report
  • Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2015) Adaptive Energy Preserving Methods for Partial Differential Equations. 2015.
    Report
  • Marthinsen, Håkon; Owren, Brynjulf. (2014) Geometric integration of non-autonomous Hamiltonian problems. 2014.
    Report
  • Dahlby, Morten Lien; Owren, Brynjulf. (2010) A general framework for deriving integral preserving numerical methods for PDEs. 2010.
    Report
  • Dahlby, Morten Lien; Owren, Brynjulf; Yaguchi, Takaharu. (2010) Preserving multiple first integrals by discrete gradients. 2010.
    Report
  • 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. 2009.
    Report
  • Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Energy-preserving integrators and the structure of B-series. 2009.
    Report
  • Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving Runge-Kutta methods. 2008.
    Report
  • Dahlby, Morten Lien; Owren, Brynjulf. (2008) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. 2008.
    Report
  • Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2006) Symmetric exponential integrators for the cubic Schroedinger equation. 2006.
    Report
  • Berland, Håvard; Owren, Brynjulf. (2003) Algebraic Structures on Ordered Rooted Trees and Their Significance to Lie Group Integrators. 2003.
    Report
  • Owren, Brynjulf; Kværnø, Anne; Kozlov, Roman. (2003) The behaviour of the local error in splitting methods applied to stiff problems. 2003. Preprint Numerics, Department of Mathematical Sciences, NTNU (1).
    Report
  • Casas, Fernando; Owren, Brynjulf. (2002) Cost efficient Lie group integrators in the RKMK class. 2002. Preprint Numerics, Department of Mathematical Sciences, NTNU (5/2002).
    Report
  • Celledoni, Elena; Owren, Brynjulf. (2001) A class of low complexity intrinsic schemes for orthogonal integration. 2001. Preprint Numerics, Department of Mathematical Sciences, NTNU (1).
    Report
  • Jackiewicz, Zdzislaw; Marthinsen, Arne; Owren, Brynjulf. (1999) Construction of Runge-Kutta Methods of Crouch-Grossman Type of High Order. 1999. Preprint Numerics, Department of Mathematical Sciences, NTNU (4).
    Report
  • Kozlov, Roman; Owren, Brynjulf. (1999) Order reduction in operator splitting methods. 1999. Preprint Numerics, Department of Mathematical Sciences, NTNU (6).
    Report
  • Marthinsen, Arne; Owren, Brynjulf. (1999) Quadrature Methods Based on the Cayley Transform. 1999. Preprint series Numerics (1999/1).
    Report
  • Munthe-Kaas, Hans; Owren, Brynjulf. (1998) Computations in a free Lie algebra. 1998. Reports in Informatics (148).
    Report
  • Enright, Wayne H.; Higham, Desmond J.; Owren, Brynjulf; Sharp, Philip W.. (1994) A Survey of the Explicit Runge-Kutta Method. 1994.
    Report

Teaching

Courses

  • TMA4125 - Mathematics 4N - Differential equations and Fourier analysis
  • MA8404 - Numerical Integration of Time Dependent Differential Equations

Media

2019

  • Academic lecture
    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 . Faculty of Engineering NTNU; Trondheim. 2019-06-03 - 2019-06-04.

2018

  • Academic lecture
    Owren, Brynjulf. (2018) Discrete gradient methods on Riemannian manifolds. ANODE 2018 . University of Auckland; Auckland. 2018-02-19 - 2018-02-23.
  • Academic lecture
    Owren, Brynjulf. (2018) Numerical methods that conserve or dissipate energy on Riemannian manifolds. Modern Numerical Methods for Quantum Mechanics II . University of Gdansk; Gdansk. 2018-06-27 - 2018-06-29.
  • Academic lecture
    Owren, Brynjulf. (2018) Structure preserving time integration schemes in computational mechanics. ASME 2018 IDETC/CIE ; Quebec. 2018-08-26 - 2018-08-29.
  • Academic lecture
    Owren, Brynjulf; Curry, Charles Henry Alexander. (2018) Adaptive time-stepping in commutator-free Lie group integrators. NUMDIFF-15 ; 2018-09-03 - 2018-09-07.
  • Academic lecture
    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 . University of Auckland; Auckland. 2018-02-19 - 2018-02-23.

2017

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

2016

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

2015

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

2014

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

2013

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

2012

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

2011

  • Academic lecture
    Owren, Brynjulf. (2011) On energy preserving Runge-Kutta methods for polynomial Hamiltonian systems. Foundations of Computational Mathematics ; Budapest. 2011-07-04 - 2011-07-14.
  • Academic lecture
    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

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

2009

  • Academic lecture
    Owren, Brynjulf. (2009) Numerical computation of motion in Lie groups and subriemannian geometries. International Conference of sub-Riemannian Geometry and Vision . University of Bologna; Bologna. 2009-08-31 - 2009-09-03.
  • Academic lecture
    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 . NTNU; Trondheim. 2009-06-22 - 2009-06-26.
  • Academic lecture
    Owren, Brynjulf. (2009) The Averaged Vector Field Method and its Applications to Hamiltonian PDEs. SciCADE 2009 . Chinese Academy of Science; Beijing. 2009-05-25 - 2009-05-29.
  • Academic lecture
    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 . T. E. Simos; Rethymno, Crete. 2009-09-18 - 2009-09-22.
  • Academic lecture
    Owren, Brynjulf; Dahlby, Morten Lien. (2009) On Conservative, Linearly Implicit Difference Schemes for Hamiltonian PDEs. Workshop on Structure-Preserving Methods for Partial Differential Equations . The University of Tokyo; Tokyo. 2009-03-17 - 2889-03-19.
  • Academic lecture
    Owren, Brynjulf; Dahlby, Morten Lien. (2009) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. MAGIC 2009 . Numerics groups, NTNU and UiB; Hornsjø, Lillehammer. 2009-03-02 - 2009-03-06.

2008

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

2007

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

2005

  • Academic lecture
    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.
  • Academic lecture
    Owren, Brynjulf. (2005) Geometric Integrators for the Nonlinear Schr¨odinger Equation. International Conference on Scientific Computation and Differential Equations . Nagoya University; Nagoya. 2005-05-23 - 2005-05-27.

2003

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

2002

  • Academic lecture
    Owren, Brynjulf. (2002) Lie group methods and their expansions. CSC02 -- Conference on Scientific Computation . [Mangler data]; Geneve, Switzerland. 2002-06-29.

2001

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

2000

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

1999

  • Academic lecture
    Owren, Brynjulf. (1999) Are Lie Group Methods Affordable?. FoCM'99 . [Mangler data]; Oxford, England, 18-28 juli, 1999..

1997

  • Popular scientific lecture
    Marthinsen, Arne; Owren, Brynjulf. (1997) Integration of dynamical systems on manifolds. 4th U.S. National Congress on Computational Mechanics . [Mangler data]; San Francisco.

1992

  • Academic lecture
    Owren, Brynjulf; Zennaro, Marino. (1992) Continuous explicit Runge-Kutta methods. Computational Ordinary Differential Equations . [Mangler data]; London, July 1989.
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