Brynjulf Owren
About
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
2025
-
Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Leyendecker, Sigrid;
Murari, Davide;
Owren, Brynjulf Rustad.
(2025)
Neural networks for the approximation of Euler’s elastica.
Computer Methods in Applied Mechanics and Engineering
Academic article
2024
-
Celledoni, Elena;
Munthe-Kaas, Hans Zanna;
Owren, Brynjulf Rustad;
Munthe-Kaas, Antonella Zanna.
(2024)
PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART I.
Journal of Computational Dynamics
Article in business/trade/industry journal
-
Celledoni, Elena;
Munthe-Kaas, Hans Zanna;
Owren, Brynjulf Rustad;
Munthe-Kaas, Antonella Zanna.
(2024)
PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART II.
Journal of Computational Dynamics
Article in business/trade/industry journal
-
Arnold, Martin;
Celledoni, Elena;
Cokaj, Ergys;
Owren, Brynjulf Rustad;
Tumiotto, Denise.
(2024)
B-STABILITY OF NUMERICAL INTEGRATORS ON RIEMANNIAN MANIFOLDS.
Journal of Computational Dynamics
Academic article
-
Sherry, Ferdia;
Celledoni, Elena;
Ehrhardt, Matthias J.;
Murari, Davide;
Owren, Brynjulf Rustad;
Schönlieb, Carola-Bibiane.
(2024)
Designing stable neural networks using convex analysis and ODEs.
Physica D : Non-linear phenomena
Academic article
2023
-
Celledoni, Elena;
Murari, Davide;
Owren, Brynjulf Rustad;
Schonlieb, Carola-Bibiane;
Sherry, Ferdia.
(2023)
DYNAMICAL SYSTEMS - BASED NEURAL NETWORKS.
SIAM Journal on Scientific Computing
Academic article
-
Bogfjellmo, Geir;
Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf Rustad;
Quispel, Gilles Reinout Willem.
(2023)
Using aromas to search for preserved measures and integrals in Kahan’s method.
Mathematics of Computation
Academic article
2022
-
Tapley, Benjamin Kwanen;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2022)
Computational geometric methods for preferential clustering of particle suspensions.
Journal of Computational Physics
Academic article
-
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
Academic article
-
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
Feature article
-
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
Report
-
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;
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
Academic article
-
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
Feature article
2021
-
Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane;
Sherry, Ferdia.
(2021)
Equivariant neural networks for inverse problems.
Inverse Problems
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
Academic article
-
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
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
Academic article
-
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
Feature article
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
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
Academic article
-
Zanna, Antonella;
Owren, Brynjulf.
(2019)
Holmboeprisen 2018.
Tangenten - Tidsskrift for matematikkundervisning
Popular scientific 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
Academic article
-
Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2019)
Energy-preserving methods on Riemannian manifolds.
Mathematics of Computation
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
-
Curry, Charles Henry Alexander;
Owren, Brynjulf.
(2019)
Variable step size commutator free Lie group integrators.
Numerical Algorithms
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
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.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
arXiv.org
Academic article
-
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)
Academic chapter/article/Conference paper
-
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
Feature article
-
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
Academic article
2018
-
Owren, Brynjulf.
(2018)
Holmboeprisen 2017.
Tangenten - Tidsskrift for matematikkundervisning
Popular scientific article
-
Curry, Charles Henry Alexander;
Ebrahimi-Fard, Kurusch;
Owren, Brynjulf.
(2018)
The Magnus expansion and Post-Lie algebras.
arXiv.org
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
-
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
Feature 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
Academic article
-
Haugen, Kjetil K.;
Owren, Brynjulf.
(2018)
Predicting football tables by a maximally parsimonious model.
Mathematics for applications
Academic article
-
Ringholm, Torbjørn;
Owren, Brynjulf;
Celledoni, Elena.
(2018)
Discrete gradient methods in image processing and partial differential equations on moving meshes.
NTNU
Doctoral dissertation
2017
-
Owren, Brynjulf.
(2017)
Holmboeprisvinneren 2016.
Tangenten - Tidsskrift for matematikkundervisning
Popular scientific article
-
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.
(2017)
Fra toppen av Haugen : norgesmester fra Molde.
Panorama : nettavis for Høgskolen i Molde
Feature article
2016
-
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
Academic article
-
Curry, Charles Henry Alexander;
Owren, Brynjulf.
(2016)
A Computationally Inexpensive Coordinate Map for Lie Group Integrators.
MI Lecture Note, Kyushu University
Academic article
-
Marthinsen, Håkon;
Owren, Brynjulf.
(2016)
Geometric integration of non-autonomous linear
Hamiltonian problems.
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
Academic article
2015
-
Amaya, Manuel;
Owren, Brynjulf.
(2015)
High-order optimization methods for large-scale 3D CSEM data inversion.
Doktoravhandlinger ved NTNU (273)
Doctoral dissertation
-
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
Academic article
-
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2015)
Adaptive Energy Preserving Methods for Partial Differential Equations.
arXiv.org
Report
-
Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2015)
Discretization of polynomial vector fields by polarization.
arXiv.org
Report
2014
-
Celledoni, Elena;
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
An introduction to Lie group integrators - basics, new developments and applications.
Journal of Computational Physics
Academic article
-
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
Geometric integration of non-autonomous Hamiltonian problems.
arxiv
Report
-
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
On symplectic integration in Lie groups and manifolds.
Doktoravhandlinger ved NTNU (332)
Doctoral dissertation
-
Celledoni, Elena;
Owren, Brynjulf.
(2014)
Preserving first integrals with symmetric Lie group methods.
Discrete and Continuous Dynamical Systems. Series A
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
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
Academic article
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
Academic article
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
Academic article
2011
-
Dahlby, Morten;
Owren, Brynjulf;
Yaguchi, Takaharu.
(2011)
Preserving multiple first integrals by discrete gradients.
Journal of Physics A: Mathematical and Theoretical
Academic article
-
Christiansen, Snorre H;
Munthe-Kaas, Hans;
Owren, Brynjulf.
(2011)
Topics in structure-preserving discretization.
Acta Numerica
Academic literature review
-
Dahlby, Morten;
Owren, Brynjulf.
(2011)
A General Framework for Deriving Integral Preserving Numerical Methods for PDEs.
SIAM Journal on Scientific Computing
Academic article
-
Owren, Brynjulf.
(2011)
Werner Romberg: "Vereinfachte numerische Integration''.
Skrifter
Popular scientific article
2010
-
Dahlby, Morten Lien;
Owren, Brynjulf;
Yaguchi, Takaharu.
(2010)
Preserving multiple first integrals by discrete gradients.
NTNU, Department of Mathematical Sciences
Report
-
Dahlby, Morten Lien;
Owren, Brynjulf.
(2010)
A general framework for deriving integral preserving numerical methods for PDEs.
NTNU, Department of Mathematical Sciences
Report
-
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
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
Academic article
2009
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Structure of B-series for some classes of Geometric Integrators.
AIP Conference Proceedings
Academic article
-
Dahlby, Morten Lien;
Owren, Brynjulf.
(2009)
Plane wave stability of some conservative schemes for the cubic Schrödinger equation.
Modélisation mathématique et analyse numérique
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Reinout, Quispel;
Wright, Will.
(2009)
Energy-preserving Runge-Kutta methods.
Modélisation mathématique et analyse numérique
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Energy-preserving integrators and the structure of B-series.
IMF, NTNU
Report
-
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
Report
2008
-
Dahlby, Morten Lien;
Owren, Brynjulf.
(2008)
Plane wave stability of some conservative schemes for the cubic Schrödinger equation.
Institutt for matematiske fag
Report
-
Cohen, David;
Owren, B;
Raynaud, X.
(2008)
Symplectic integration of the Carnassa-Holm equation.
Journal of Computational Physics
Academic article
-
Munthe-Kaas, Hans;
Owren, Brynjulf.
(2008)
Mathematics and Computation, a Contemporary View: The Abel Symposium 2006.
Springer
Springer
Academic anthology/Conference proceedings
-
Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energy-preserving Runge-Kutta methods.
NTNU Institutt for matematiske fag
Report
-
Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energy-preserving methods and B-series.
Academic chapter/article/Conference paper
-
Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2008)
Symmetric exponential integrators for the nonlinear Schroedinger equation.
Foundations of Computational Mathematics
Academic article
-
Cohen, David;
Owren, Brynjulf;
Raynaud, Xavier.
(2008)
Multi-symplectic integration of the Camassa–Holm equation.
Journal of Computational Physics
Academic article
2006
-
Owren, Brynjulf.
(2006)
Order conditions for commutator-free Lie group methods.
Journal of Physics A: Mathematical and General
Academic article
-
Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2006)
Symmetric exponential integrators for the cubic Schroedinger equation.
Institutt for Matematiske fag, NTNU
Report
-
Berland, Håvard;
Owren, Brynjulf;
Skaflestad, Bård.
(2006)
Solving the nonlinear Schrodinger equation using exponential integrators.
MIC Journal: Modeling, Identification and Control
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
Academic article
2003
-
Casas, F;
Owren, Brynjulf.
(2003)
Cost efficient Lie group integrators in the RKMK class.
Applied Numerical Mathematics
Academic article
-
Casas, Fernando;
Owren, Brynjulf.
(2003)
Cost Efficient Lie Group Integrators in the RKMK Class.
BIT Numerical Mathematics
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2003)
On the Implementation of Lie Group Methods on the Stiefel Manifold.
Numerical Algorithms
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
Academic article
-
Celledoni, Elena;
Marthinsen, Arne;
Owren, Brynjulf.
(2003)
Commutator-free Lie group methods.
Future Generation Computer Systems
Academic article
-
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
Report
-
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)
Report
2002
-
Celledoni, Elena;
Owren, Brynjulf.
(2002)
A class of intrinsic schemes for orthogonal integration.
SIAM Journal on Numerical Analysis
Academic article
-
Casas, Fernando;
Owren, Brynjulf.
(2002)
Cost efficient Lie group integrators in the RKMK class.
Preprint Numerics, Department of Mathematical Sciences, NTNU (5/2002)
Report
2001
-
Owren, Brynjulf.
(2001)
Quadrature methods based on the Cayley transform.
Applied Numerical Mathematics
Academic article
-
Owren, Brynjulf;
Marthinsen, Arne.
(2001)
Integration methods based on canonical coordinates of the second kind.
Numerische Mathematik
Academic article
-
Marthinsen, Arne;
Owren, Brynjulf.
(2001)
A note on the construction of Crouch-Grossman methods.
BIT Numerical Mathematics
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2001)
A class of low complexity intrinsic schemes for orthogonal integration.
Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
Report
2000
-
Owren, Brynjulf;
Welfert, Bruno.
(2000)
The Newton Iteration on Lie Groups.
BIT Numerical Mathematics
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
Academic article
1999
-
Owren, Brynjulf;
Marthinsen, Arne.
(1999)
Runge-Kutta methods adapted to manifolds and based on rigid frames.
BIT Numerical Mathematics
Academic article
-
Kozlov, Roman;
Owren, Brynjulf.
(1999)
Order reduction in operator splitting methods.
Preprint Numerics, Department of Mathematical Sciences, NTNU (6)
Report
-
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)
Report
-
Marthinsen, Arne;
Owren, Brynjulf.
(1999)
Quadrature Methods Based on the Cayley Transform.
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
Academic article
1998
-
Jackiewicz, Zdzislaw;
Owren, Brynjulf;
Welfert, Bruno D..
(1998)
Pseudospectra of waveform relaxation operators.
Computers and Mathematics with Applications
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
Academic article
-
Munthe-Kaas, Hans;
Owren, Brynjulf.
(1998)
Computations in a free Lie algebra.
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.
MIC Journal: Modeling, Identification and Control
Academic article
1996
-
Nørsett, Syvert Paul;
Kværnø, Anne;
Owren, Brynjulf.
(1996)
Runge-Kutta research in Trondheim.
Applied Numerical Mathematics
Academic article
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
Report
1993
-
Muir, Paul;
Owren, Brynjulf.
(1993)
Order Barriers and characterizations for continuous mono-implicit Runge-Kutta schemes.
Mathematics of Computation
Academic article
-
Landrø, Martin;
Zaalberg-Metselaar, Gitta;
Owren, Brynjulf;
Vaage, Svein.
(1993)
Modeling of water-gun signatures.
Geophysics
Academic article
1992
-
Owren, Brynjulf;
Zennaro, Marino.
(1992)
Derivation of efficient, continuous explicit Runge-Kutta methods.
SIAM Journal of Scientific and Statistical Computing
Academic article
1991
-
Owren, Brynjulf;
Zennaro, Marino.
(1991)
Order barriers for continuous explicit Runge-Kutta methods.
Mathematics of Computation
Academic article
-
Owren, Brynjulf;
Seip, Kristian.
(1991)
A uniqueness result related to the stability of explicit Runge-Kutta methods.
BIT Numerical Mathematics
Academic article
1990
-
Owren, Brynjulf;
Seip, Kristian.
(1990)
Some stability results for explicit Runge-Kutta methods.
BIT Numerical Mathematics
Academic article
Journal publications
-
Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Leyendecker, Sigrid;
Murari, Davide;
Owren, Brynjulf Rustad.
(2025)
Neural networks for the approximation of Euler’s elastica.
Computer Methods in Applied Mechanics and Engineering
Academic article
-
Celledoni, Elena;
Munthe-Kaas, Hans Zanna;
Owren, Brynjulf Rustad;
Munthe-Kaas, Antonella Zanna.
(2024)
PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART I.
Journal of Computational Dynamics
Article in business/trade/industry journal
-
Celledoni, Elena;
Munthe-Kaas, Hans Zanna;
Owren, Brynjulf Rustad;
Munthe-Kaas, Antonella Zanna.
(2024)
PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART II.
Journal of Computational Dynamics
Article in business/trade/industry journal
-
Arnold, Martin;
Celledoni, Elena;
Cokaj, Ergys;
Owren, Brynjulf Rustad;
Tumiotto, Denise.
(2024)
B-STABILITY OF NUMERICAL INTEGRATORS ON RIEMANNIAN MANIFOLDS.
Journal of Computational Dynamics
Academic article
-
Sherry, Ferdia;
Celledoni, Elena;
Ehrhardt, Matthias J.;
Murari, Davide;
Owren, Brynjulf Rustad;
Schönlieb, Carola-Bibiane.
(2024)
Designing stable neural networks using convex analysis and ODEs.
Physica D : Non-linear phenomena
Academic article
-
Celledoni, Elena;
Murari, Davide;
Owren, Brynjulf Rustad;
Schonlieb, Carola-Bibiane;
Sherry, Ferdia.
(2023)
DYNAMICAL SYSTEMS - BASED NEURAL NETWORKS.
SIAM Journal on Scientific Computing
Academic article
-
Bogfjellmo, Geir;
Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf Rustad;
Quispel, Gilles Reinout Willem.
(2023)
Using aromas to search for preserved measures and integrals in Kahan’s method.
Mathematics of Computation
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
Academic article
-
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
Academic article
-
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
Feature 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;
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
Academic article
-
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
Feature article
-
Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane;
Sherry, Ferdia.
(2021)
Equivariant neural networks for inverse problems.
Inverse Problems
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
Academic article
-
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
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
Academic article
-
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
Feature 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
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
Academic article
-
Zanna, Antonella;
Owren, Brynjulf.
(2019)
Holmboeprisen 2018.
Tangenten - Tidsskrift for matematikkundervisning
Popular scientific 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
Academic article
-
Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2019)
Energy-preserving methods on Riemannian manifolds.
Mathematics of Computation
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
-
Curry, Charles Henry Alexander;
Owren, Brynjulf.
(2019)
Variable step size commutator free Lie group integrators.
Numerical Algorithms
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
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.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
arXiv.org
Academic article
-
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
Feature article
-
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
Academic article
-
Owren, Brynjulf.
(2018)
Holmboeprisen 2017.
Tangenten - Tidsskrift for matematikkundervisning
Popular scientific article
-
Curry, Charles Henry Alexander;
Ebrahimi-Fard, Kurusch;
Owren, Brynjulf.
(2018)
The Magnus expansion and Post-Lie algebras.
arXiv.org
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
-
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
Feature 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
Academic article
-
Haugen, Kjetil K.;
Owren, Brynjulf.
(2018)
Predicting football tables by a maximally parsimonious model.
Mathematics for applications
Academic article
-
Owren, Brynjulf.
(2017)
Holmboeprisvinneren 2016.
Tangenten - Tidsskrift for matematikkundervisning
Popular scientific article
-
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.
(2017)
Fra toppen av Haugen : norgesmester fra Molde.
Panorama : nettavis for Høgskolen i Molde
Feature 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
Academic article
-
Curry, Charles Henry Alexander;
Owren, Brynjulf.
(2016)
A Computationally Inexpensive Coordinate Map for Lie Group Integrators.
MI Lecture Note, Kyushu University
Academic article
-
Marthinsen, Håkon;
Owren, Brynjulf.
(2016)
Geometric integration of non-autonomous linear
Hamiltonian problems.
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
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
Academic article
-
Celledoni, Elena;
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
An introduction to Lie group integrators - basics, new developments and applications.
Journal of Computational Physics
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2014)
Preserving first integrals with symmetric Lie group methods.
Discrete and Continuous Dynamical Systems. Series A
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
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
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
Academic article
-
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
Academic article
-
Dahlby, Morten;
Owren, Brynjulf;
Yaguchi, Takaharu.
(2011)
Preserving multiple first integrals by discrete gradients.
Journal of Physics A: Mathematical and Theoretical
Academic article
-
Christiansen, Snorre H;
Munthe-Kaas, Hans;
Owren, Brynjulf.
(2011)
Topics in structure-preserving discretization.
Acta Numerica
Academic literature review
-
Dahlby, Morten;
Owren, Brynjulf.
(2011)
A General Framework for Deriving Integral Preserving Numerical Methods for PDEs.
SIAM Journal on Scientific Computing
Academic article
-
Owren, Brynjulf.
(2011)
Werner Romberg: "Vereinfachte numerische Integration''.
Skrifter
Popular scientific 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
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
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
Academic article
-
Dahlby, Morten Lien;
Owren, Brynjulf.
(2009)
Plane wave stability of some conservative schemes for the cubic Schrödinger equation.
Modélisation mathématique et analyse numérique
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Reinout, Quispel;
Wright, Will.
(2009)
Energy-preserving Runge-Kutta methods.
Modélisation mathématique et analyse numérique
Academic article
-
Cohen, David;
Owren, B;
Raynaud, X.
(2008)
Symplectic integration of the Carnassa-Holm equation.
Journal of Computational Physics
Academic article
-
Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2008)
Symmetric exponential integrators for the nonlinear Schroedinger equation.
Foundations of Computational Mathematics
Academic article
-
Cohen, David;
Owren, Brynjulf;
Raynaud, Xavier.
(2008)
Multi-symplectic integration of the Camassa–Holm equation.
Journal of Computational Physics
Academic article
-
Owren, Brynjulf.
(2006)
Order conditions for commutator-free Lie group methods.
Journal of Physics A: Mathematical and General
Academic article
-
Berland, Håvard;
Owren, Brynjulf;
Skaflestad, Bård.
(2006)
Solving the nonlinear Schrodinger equation using exponential integrators.
MIC Journal: Modeling, Identification and Control
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
Academic article
-
Casas, F;
Owren, Brynjulf.
(2003)
Cost efficient Lie group integrators in the RKMK class.
Applied Numerical Mathematics
Academic article
-
Casas, Fernando;
Owren, Brynjulf.
(2003)
Cost Efficient Lie Group Integrators in the RKMK Class.
BIT Numerical Mathematics
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2003)
On the Implementation of Lie Group Methods on the Stiefel Manifold.
Numerical Algorithms
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
Academic article
-
Celledoni, Elena;
Marthinsen, Arne;
Owren, Brynjulf.
(2003)
Commutator-free Lie group methods.
Future Generation Computer Systems
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2002)
A class of intrinsic schemes for orthogonal integration.
SIAM Journal on Numerical Analysis
Academic article
-
Owren, Brynjulf.
(2001)
Quadrature methods based on the Cayley transform.
Applied Numerical Mathematics
Academic article
-
Owren, Brynjulf;
Marthinsen, Arne.
(2001)
Integration methods based on canonical coordinates of the second kind.
Numerische Mathematik
Academic article
-
Marthinsen, Arne;
Owren, Brynjulf.
(2001)
A note on the construction of Crouch-Grossman methods.
BIT Numerical Mathematics
Academic article
-
Owren, Brynjulf;
Welfert, Bruno.
(2000)
The Newton Iteration on Lie Groups.
BIT Numerical Mathematics
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
Academic article
-
Owren, Brynjulf;
Marthinsen, Arne.
(1999)
Runge-Kutta methods adapted to manifolds and based on rigid frames.
BIT Numerical Mathematics
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
Academic article
-
Jackiewicz, Zdzislaw;
Owren, Brynjulf;
Welfert, Bruno D..
(1998)
Pseudospectra of waveform relaxation operators.
Computers and Mathematics with Applications
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
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.
MIC Journal: Modeling, Identification and Control
Academic article
-
Nørsett, Syvert Paul;
Kværnø, Anne;
Owren, Brynjulf.
(1996)
Runge-Kutta research in Trondheim.
Applied Numerical Mathematics
Academic article
-
Muir, Paul;
Owren, Brynjulf.
(1993)
Order Barriers and characterizations for continuous mono-implicit Runge-Kutta schemes.
Mathematics of Computation
Academic article
-
Landrø, Martin;
Zaalberg-Metselaar, Gitta;
Owren, Brynjulf;
Vaage, Svein.
(1993)
Modeling of water-gun signatures.
Geophysics
Academic article
-
Owren, Brynjulf;
Zennaro, Marino.
(1992)
Derivation of efficient, continuous explicit Runge-Kutta methods.
SIAM Journal of Scientific and Statistical Computing
Academic article
-
Owren, Brynjulf;
Zennaro, Marino.
(1991)
Order barriers for continuous explicit Runge-Kutta methods.
Mathematics of Computation
Academic article
-
Owren, Brynjulf;
Seip, Kristian.
(1991)
A uniqueness result related to the stability of explicit Runge-Kutta methods.
BIT Numerical Mathematics
Academic article
-
Owren, Brynjulf;
Seip, Kristian.
(1990)
Some stability results for explicit Runge-Kutta methods.
BIT Numerical Mathematics
Academic article
Books
-
Munthe-Kaas, Hans;
Owren, Brynjulf.
(2008)
Mathematics and Computation, a Contemporary View: The Abel Symposium 2006.
Springer
Springer
Academic anthology/Conference proceedings
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.
International Center for Numerical Methods in Engineering (CIMNE)
Academic chapter/article/Conference paper
-
Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energy-preserving methods and B-series.
Academic chapter/article/Conference paper
Report
-
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
Report
-
Ringholm, Torbjørn;
Owren, Brynjulf;
Celledoni, Elena.
(2018)
Discrete gradient methods in image processing and partial differential equations on moving meshes.
NTNU
Doctoral dissertation
-
Amaya, Manuel;
Owren, Brynjulf.
(2015)
High-order optimization methods for large-scale 3D CSEM data inversion.
Doktoravhandlinger ved NTNU (273)
Doctoral dissertation
-
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2015)
Adaptive Energy Preserving Methods for Partial Differential Equations.
arXiv.org
Report
-
Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2015)
Discretization of polynomial vector fields by polarization.
arXiv.org
Report
-
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
Geometric integration of non-autonomous Hamiltonian problems.
arxiv
Report
-
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
On symplectic integration in Lie groups and manifolds.
Doktoravhandlinger ved NTNU (332)
Doctoral dissertation
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Dahlby, Morten Lien;
Owren, Brynjulf;
Yaguchi, Takaharu.
(2010)
Preserving multiple first integrals by discrete gradients.
NTNU, Department of Mathematical Sciences
Report
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Dahlby, Morten Lien;
Owren, Brynjulf.
(2010)
A general framework for deriving integral preserving numerical methods for PDEs.
NTNU, Department of Mathematical Sciences
Report
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Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Energy-preserving integrators and the structure of B-series.
IMF, NTNU
Report
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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
Report
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Dahlby, Morten Lien;
Owren, Brynjulf.
(2008)
Plane wave stability of some conservative schemes for the cubic Schrödinger equation.
Institutt for matematiske fag
Report
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Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energy-preserving Runge-Kutta methods.
NTNU Institutt for matematiske fag
Report
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Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2006)
Symmetric exponential integrators for the cubic Schroedinger equation.
Institutt for Matematiske fag, NTNU
Report
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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
Report
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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)
Report
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Casas, Fernando;
Owren, Brynjulf.
(2002)
Cost efficient Lie group integrators in the RKMK class.
Preprint Numerics, Department of Mathematical Sciences, NTNU (5/2002)
Report
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Celledoni, Elena;
Owren, Brynjulf.
(2001)
A class of low complexity intrinsic schemes for orthogonal integration.
Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
Report
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Kozlov, Roman;
Owren, Brynjulf.
(1999)
Order reduction in operator splitting methods.
Preprint Numerics, Department of Mathematical Sciences, NTNU (6)
Report
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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)
Report
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Marthinsen, Arne;
Owren, Brynjulf.
(1999)
Quadrature Methods Based on the Cayley Transform.
Preprint series Numerics (1999/1)
Report
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Munthe-Kaas, Hans;
Owren, Brynjulf.
(1998)
Computations in a free Lie algebra.
Reports in Informatics (148)
Report
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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
Report
Teaching
Courses
Outreach
2019
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Academic lectureOhm, 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
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Academic lectureOwren, 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
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Academic lectureOwren, Brynjulf; Curry, Charles Henry Alexander. (2018) Adaptive time-stepping in commutator-free Lie group integrators. NUMDIFF-15 2018-09-03 - 2018-09-07
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Academic lectureOwren, Brynjulf. (2018) Structure preserving time integration schemes in computational mechanics. ASME 2018 IDETC/CIE , Quebec 2018-08-26 - 2018-08-29
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Academic lectureOwren, Brynjulf. (2018) Discrete gradient methods on Riemannian manifolds . University of Auckland ANODE 2018 , Auckland 2018-02-19 - 2018-02-23
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Academic lectureTapley, 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
2017
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Academic lectureOwren, 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
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Academic lectureOwren, 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
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Academic lectureOwren, 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
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Academic lectureOwren, 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
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Academic lectureOwren, 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
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PosterTapley, 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
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Academic lectureEidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Energy preserving moving mesh methods for PDEs. SciCADE 2017 , University of Bath 2017-09-11 - 2017-09-15
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Academic lectureOwren, 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
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Academic lectureEidnes, 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
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Academic lectureEidnes, 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
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Academic lectureOwren, Brynjulf. (2016) Geometric integration methods in model reduction. MaGIC , Ilsetra, Lillehammer 2016-02-18 - 2016-02-21
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Academic lectureOwren, 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
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Academic lectureOwren, Brynjulf. (2016) Structure preserving model reduction on Lie groups. MFO Geometric integration , Oberwolfach 2016-03-21 - 2016-03-25
2015
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Academic lectureOwren, 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
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Academic lectureOwren, 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
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Academic lectureOwren, Brynjulf. (2015) Discretization of polynomial vector fields by polarization. MaGIC 2015-02-26 - 2015-03-01
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Academic lectureOwren, Brynjulf. (2015) Energy preserving methods for PDEs on moving meshes. NATW seminar, KU Leuven 2015-05-13 - 2015-05-13
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Academic lectureOwren, 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
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Academic lectureOwren, 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
2014
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Academic lectureOwren, 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
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Academic lectureOwren, Brynjulf; Marthinsen, Håkon. (2014) On canonical integrators for nonautonomous systems. University of Tokyo KCNADE 2014 , Kyoto 2014-09-16 - 2014-09-19
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Academic lectureOwren, Brynjulf. (2014) Integral preserving numerical integrators for PDEs on moving meshes. FoCM'2014 , Montevideo 2014-12-11 - 2014-12-20
2013
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Academic lectureOwren, Brynjulf. (2013) Integral preserving methods on moving grids. Universitad de Valladolid SciCADE 2013 2013-09-16 - 2013-09-20
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Academic lectureOwren, Brynjulf; Celledoni, Elena. (2013) Kahan's method and its geometric properties. Equadiff 2013 2013-08-20 - 2013-08-30
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Academic lectureCelledoni, Elena; Owren, Brynjulf. (2013) Lie group methods for numerical simulation of mechanical systems. Nordic seminar in Computational Mechanics 2013-10-23 - 2013-10-25
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Academic lectureCelledoni, Elena; Owren, Brynjulf. (2013) Integral preserving Lie group integrators. ICMAT K Ebrahimi-Fard TNADE , Madrid 2013-07-08 - 2013-07-12
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Academic lectureCelledoni, Elena; Owren, Brynjulf. (2013) Lie group integrators and preservation of first integrals. NTNU and UiB MAGiC , Geilo 2013-02-26 - 2013-03-01
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Academic lectureOwren, 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
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Academic lectureCelledoni, 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
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Academic lectureOwren, 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
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Academic lectureOwren, 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
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Academic lectureOwren, Brynjulf. (2011) On energy preserving Runge-Kutta methods for polynomial Hamiltonian systems. Foundations of Computational Mathematics , Budapest 2011-07-04 - 2011-07-14
2010
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Academic lectureOwren, 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
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Academic lectureOwren, 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
2009
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Academic lectureOwren, 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
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Academic lectureOwren, 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
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Academic lectureOwren, 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
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Academic lectureOwren, 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
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Academic lectureOwren, 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
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Academic lectureOwren, 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
2008
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Academic lectureOwren, 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
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Academic lectureOwren, Brynjulf. (2008) Geometric integrators for the Camassa-Holm equation. Professor Bao Workshop ved Tsinghuauniversitetet, Beijing , Beijing 2008-06-18 - 2008-06-18
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Academic lectureOwren, Brynjulf. (2008) Energy preserving methods for Hamiltonian problems. Lorentz center Numerical Modelling of Complex Dynamical Systems , Leiden 2008-05-06 - 2008-05-09
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Academic lectureOwren, Brynjulf. (2008) Energy conserving integrators. Th Simos International Conference of Numerical Analysis and Applied Mathematics 2008 , Kos 2008-09-16 - 2008-09-20
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Academic lectureOwren, 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
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Academic lectureOwren, Brynjulf. (2008) Lie Group Integrators -- an introduction. Jialin Hong Workshop, Chinese Academy of Science , Beijing 2008-06-12 - 2008-06-12
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Academic lectureOwren, 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
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Academic lectureOwren, 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
2007
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Academic lectureOwren, 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
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Academic lectureOwren, 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
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Academic lectureOwren, 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
2003
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Academic lectureOwren, 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
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Academic lectureOwren, Brynjulf. (2002) Lie group methods and their expansions. CSC02 -- Conference on Scientific Computation , Geneve, Switzerland 2002-06-29 -
2001
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Academic lectureOwren, 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
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Academic lectureOwren, 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 -
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Academic lectureOwren, Brynjulf. (2001) Commutator free Lie group methods. International Workshop on Structure-Preserving Algorithms , Beijing, Kina, 25-31 mars
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Academic lectureOwren, Brynjulf. (2001) Lie group integrators. Geometry Symmetry and Mechanics I , Lisbon, 11- 16 July 2001
2000
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Academic lectureOwren, Brynjulf. (2000) Lie Group Integrators. Research Symposium on Geometric Integration , La Trobe University, Melbourne, 10-16 desember.
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Academic lectureOwren, Brynjulf. (2000) A Lie algebraic approach to analysing the error in splitting methods. LMS Durham Symposium, Geometric Integration. , Durham, England, 13-23 juli, 2000.
1999
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Academic lectureOwren, Brynjulf. (1999) Are Lie Group Methods Affordable?. FoCM'99 , Oxford, England, 18-28 juli, 1999.
1997
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Popular scientific lectureMarthinsen, Arne; Owren, Brynjulf. (1997) Integration of dynamical systems on manifolds. 4th U.S. National Congress on Computational Mechanics , San Francisco
1992
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Academic lectureOwren, Brynjulf; Zennaro, Marino. (1992) Continuous explicit Runge-Kutta methods. Computational Ordinary Differential Equations , London, July 1989