Elena Celledoni
Elena Celledoni
Professor of mathematics at the Norwegian University of Science and Technology
Verified email at
Cited by
Cited by
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
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
Commutator-free Lie group methods
E Celledoni, A Marthinsen, B Owren
Future Generation Computer Systems 19 (3), 341-352, 2003
Approximating the exponential from a Lie algebra to a Lie group
E Celledoni, A Iserles
Mathematics of Computation 69 (232), 1457-1480, 2000
Methods for the approximation of the matrix exponential in a Lie‐algebraic setting
E Celledoni, A Iserles
IMA Journal of Numerical Analysis 21 (2), 463-488, 2001
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
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
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
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
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
Deep learning as optimal control problems: Models and numerical methods
M Benning, E Celledoni, MJ Ehrhardt, B Owren, CB Schönlieb
Journal of Computational Dynamics (arXiv preprint arXiv:1904.05657) 6 ((2 …, 2019
A Krylov projection method for systems of ODEs
E Celledoni, I Moret
Applied numerical mathematics 24 (2-3), 365-378, 1997
Integrability properties of Kahanʼs method
E Celledoni, RI McLachlan, DI McLaren, B Owren, GRW Quispel
Journal of Physics A: Mathematical and Theoretical 47 (36), 365202, 2014
Shape Analysis on Lie Groups with Applications in Computer Animation
E Celledoni, M Eslitzbichler, A Schmeding
Journal of Geometric Mechanics (JGM). 8 (3), 2016
The exact computation of the free rigid body motion and its use in splitting methods
E Celledoni, F Fassò, N Säfström, A Zanna
SIAM Journal on Scientific Computing 30 (4), 2084-2112, 2008
A class of intrinsic schemes for orthogonal integration
E Celledoni, B Owren
SIAM Journal on Numerical Analysis 40 (6), 2069-2084, 2002
On the implementation of Lie group methods on the Stiefel manifold
E Celledoni, B Owren
Numerical Algorithms 32, 163-183, 2003
Structure-preserving deep learning
E Celledoni, MJ Ehrhardt, C Etmann, RI McLachlan, B Owren, ...
European Journal of Applied Mathematics 32 (5), 888-936, 2021
The minimal stage, energy preserving Runge–Kutta method for polynomial Hamiltonian systems is the averaged vector field method
E Celledoni, B Owren, Y Sun
Mathematics of Computation 83 (288), 1689-1700, 2014
Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions
E Celledoni, N Säfström
Journal of Physics A: Mathematical and General 39 (19), 5463, 2006
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