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 | 328 | 2012 |
Computations in a free Lie algebra H Munthe–Kaas, B Owren Philosophical Transactions of the Royal Society of London. Series A …, 1999 | 211 | 1999 |
Topics in structure-preserving discretization SH Christiansen, HZ Munthe-Kaas, B Owren Acta Numerica 20, 1-119, 2011 | 172 | 2011 |
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 | 172 | 2009 |
Derivation of efficient, continuous, explicit Runge–Kutta methods B Owren, M Zennaro SIAM journal on scientific and statistical computing 13 (6), 1488-1501, 1992 | 147 | 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 | 140 | 2011 |
Commutator-free Lie group methods E Celledoni, A Marthinsen, B Owren Future Generation Computer Systems 19 (3), 341-352, 2003 | 140 | 2003 |
Runge-Kutta methods adapted to manifolds and based on rigid frames B Owren, A Marthinsen BIT Numerical Mathematics 39, 116-142, 1999 | 126* | 1999 |
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 | 125 | 2008 |
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 | 121 | 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 | 105 | 2014 |
Multi-symplectic integration of the Camassa–Holm equation D Cohen, B Owren, X Raynaud Journal of Computational Physics 227 (11), 5492-5512, 2008 | 102 | 2008 |
The Newton iteration on Lie groups B Owren, B Welfert BIT Numerical Mathematics 40, 121-145, 2000 | 100 | 2000 |
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 | 99 | 2010 |
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 | 98 | 2012 |
Order barriers for continuous explicit Runge-Kutta methods B Owren, M Zennaro Mathematics of computation 56 (194), 645-661, 1991 | 94 | 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 | 88 | 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 |