Brynjulf Owren

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Elena CelledoniProfessor of mathematics at the Norwegian University of Science and TechnologyVerified email at math.ntnu.no
Robert McLachlanProfessor of Applied Mathematics, Massey UniversityVerified email at massey.ac.nz
G R QuispelLa Trobe UniversityVerified email at latrobe.edu.au
David McLarenLa Trobe UniversityVerified email at latrobe.edu.au
Hans Munthe-KaasProfessor of Mathematics, University of Bergen, NorwayVerified email at math.uib.no
Carola-Bibiane SchönliebDAMTP, University of CambridgeVerified email at cam.ac.uk
Matthias J. EhrhardtMathematical Sciences, University of BathVerified email at bath.ac.uk
Benjamin K TapleyResearcher, SINTEFVerified email at sintef.no
Will WrightQuant, NABVerified email at latrobe.edu.au
Bård SkaflestadSINTEFVerified email at sintef.no
David CohenProfessor, Chalmers University of Technology and University of GothenburgVerified email at chalmers.se
Davide MurariNorwegian University of Science and TechnologyVerified email at ntnu.no
Sølve EidnesResearch Scientist, SINTEFVerified email at sintef.no
Helge I. AnderssonProfessor in Fluid Mechanics at Norwegian University of Science and TechnologyVerified email at ntnu.no
Martin BenningQueen Mary University of LondonVerified email at qmul.ac.uk
Dion O'NealeUniversity of AucklandVerified email at auckland.ac.nz
Volker GrimmKarlsruhe Institute of Technology (KIT)Verified email at kit.edu
Bruno WelfertAssociate Professor of MathematicsVerified email at asu.edu
Håkon MarthinsenSenior software developer, DEFAVerified email at defa.com
Zdzislaw JackiewiczProfessor of Mathematics, Arizona State UniversityVerified email at asu.edu

Brynjulf Owren

Professor of Mathematics, NTNU, Norway

Verified email at ntnu.no - Homepage

Numerical methods for differential equations


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Preserving energy resp. dissipation in numerical PDEs using the “Average Vector Field” method E Celledoni, V Grimm, RI McLachlan, DI McLaren, D O’Neale, B Owren, ... Journal of Computational Physics 231 (20), 6770-6789, 2012	299	2012
Computations in a free Lie algebra H Munthe–Kaas, B Owren Philosophical Transactions of the Royal Society of London. Series A …, 1999	192	1999
Energy-preserving runge-kutta methods E Celledoni, RI McLachlan, DI McLaren, B Owren, GRW Quispel, ... ESAIM: Mathematical Modelling and Numerical Analysis 43 (4), 645-649, 2009	158	2009
Topics in structure-preserving discretization SH Christiansen, HZ Munthe-Kaas, B Owren Acta Numerica 20, 1-119, 2011	157	2011
Derivation of efficient, continuous, explicit Runge–Kutta methods B Owren, M Zennaro SIAM journal on scientific and statistical computing 13 (6), 1488-1501, 1992	142	1992
Commutator-free Lie group methods E Celledoni, A Marthinsen, B Owren Future Generation Computer Systems 19 (3), 341-352, 2003	130	2003
A general framework for deriving integral preserving numerical methods for PDEs M Dahlby, B Owren SIAM Journal on Scientific Computing 33 (5), 2318-2340, 2011	127	2011
Runge-Kutta methods adapted to manifolds and based on rigid frames B Owren, A Marthinsen BIT Numerical Mathematics 39, 116-142, 1999	119*	1999
Lie group methods for rigid body dynamics and time integration on manifolds E Celledoni, B Owren Computer Methods in Applied Mechanics and Engineering 192 (3-4), 421-438, 2003	116	2003
Symmetric exponential integrators with an application to the cubic Schrödinger equation E Celledoni, D Cohen, B Owren Foundations of Computational Mathematics 8, 303-317, 2008	111	2008
The Newton iteration on Lie groups B Owren, B Welfert BIT Numerical Mathematics 40, 121-145, 2000	96	2000
Multi-symplectic integration of the Camassa–Holm equation D Cohen, B Owren, X Raynaud Journal of Computational Physics 227 (11), 5492-5512, 2008	95	2008
An introduction to Lie group integrators–basics, new developments and applications E Celledoni, H Marthinsen, B Owren Journal of Computational Physics 257, 1040-1061, 2014	93	2014
Order barriers for continuous explicit Runge-Kutta methods B Owren, M Zennaro Mathematics of computation 56 (194), 645-661, 1991	89	1991
Geometric properties of Kahan's method E Celledoni, RI McLachlan, B Owren, GRW Quispel Journal of Physics A: Mathematical and Theoretical 46 (2), 025201, 2012	88	2012
Energy-preserving integrators and the structure of B-series E Celledoni, RI McLachlan, B Owren, GRW Quispel Foundations of Computational Mathematics 10, 673-693, 2010	88	2010
Deep learning as optimal control problems: Models and numerical methods M Benning, E Celledoni, MJ Ehrhardt, B Owren, CB Schönlieb arXiv preprint arXiv:1904.05657, 2019	70	2019
B-series and order conditions for exponential integrators H Berland, B Owren, B Skaflestad SIAM Journal on Numerical Analysis 43 (4), 1715-1727, 2005	70	2005
Integration methods based on canonical coordinates of the second kind B Owren, A Marthinsen Numerische Mathematik 87, 763-790, 2001	65	2001
Alternative integration methods for problems in structural dynamics B Owren, HH Simonsen Computer Methods in Applied Mechanics and Engineering 122 (1-2), 1-10, 1995	64	1995

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