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 TapleyResearch Scientist, SINTEFVerified email at sintef.no
Davide MurariPostdoctoral Research Associate, University of CambridgeVerified email at cam.ac.uk
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
Sølve EidnesSenior Research Scientist, SINTEFVerified email at sintef.no
Helge I. AnderssonProfessor in Fluid Mechanics at Norwegian University of Science and TechnologyVerified email at ntnu.no
Martin BenningProfessor of Inverse Problems, University College LondonVerified email at ucl.ac.uk
Dion O'NealeUniversity of AucklandVerified email at auckland.ac.nz
Volker GrimmKarlsruhe Institute of Technology (KIT)Verified email at kit.edu
Håkon MarthinsenSenior software developer, ASNVerified email at asn.com
Andrea LeoneNorwegian University of Science and TechnologyVerified email at ntnu.no
Bruno WelfertAssociate Professor of MathematicsVerified email at asu.edu

Brynjulf Owren

Professor of Mathematics, NTNU, Norway

Verified email at ntnu.no - Homepage

Structure preservation deep learning geometric mechanics


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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	332	2012
Computations in a free Lie algebra H Munthe–Kaas, B Owren Philosophical Transactions of the Royal Society of London. Series A …, 1999	213	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	175	2009
Topics in structure-preserving discretization SH Christiansen, HZ Munthe-Kaas, B Owren Acta Numerica 20, 1-119, 2011	174	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	150	1992
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	142	2011
Commutator-free Lie group methods E Celledoni, A Marthinsen, B Owren Future Generation Computer Systems 19 (3), 341-352, 2003	140	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	128	2008
Runge-Kutta methods adapted to manifolds and based on rigid frames B Owren, A Marthinsen BIT Numerical Mathematics 39, 116-142, 1999	127*	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	123	2003
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	107	2014
Multi-symplectic integration of the Camassa–Holm equation D Cohen, B Owren, X Raynaud Journal of Computational Physics 227 (11), 5492-5512, 2008	103	2008
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	102	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	100	2010
The Newton iteration on Lie groups B Owren, B Welfert BIT Numerical Mathematics 40, 121-145, 2000	100	2000
Order barriers for continuous explicit Runge-Kutta methods B Owren, M Zennaro Mathematics of computation 56 (194), 645-661, 1991	95	1991
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	92	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	74	2005
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	66	1995
A survey of the explicit Runge-Kutta method WH Enright, DJ Higham, B Owren, PW Sharp Department of Computer Science, University of Toronto, 1994	66	1994

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