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Elena Celledoni
Elena Celledoni
Professor of mathematics at the Norwegian University of Science and Technology
Verified email at math.ntnu.no
Title
Cited by
Cited by
Year
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
3352012
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
1772009
Commutator-free Lie group methods
E Celledoni, A Marthinsen, B Owren
Future Generation Computer Systems 19 (3), 341-352, 2003
1402003
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
1312008
Approximating the exponential from a Lie algebra to a Lie group
E Celledoni, A Iserles
Mathematics of Computation 69 (232), 1457-1480, 2000
1262000
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
1242003
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
1172001
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
1112014
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
1042012
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
1012010
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
962019
A Krylov projection method for systems of ODEs
E Celledoni, I Moret
Applied numerical mathematics 24 (2-3), 365-378, 1997
661997
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
552014
Structure-preserving deep learning
E Celledoni, MJ Ehrhardt, C Etmann, RI McLachlan, B Owren, ...
European journal of applied mathematics 32 (5), 888-936, 2021
532021
Shape Analysis on Lie Groups with Applications in Computer Animation
E Celledoni, M Eslitzbichler, A Schmeding
Journal of Geometric Mechanics (JGM). 8 (3), 2016
472016
On the implementation of Lie group methods on the Stiefel manifold
E Celledoni, B Owren
Numerical Algorithms 32, 163-183, 2003
422003
A class of intrinsic schemes for orthogonal integration
E Celledoni, B Owren
SIAM Journal on Numerical Analysis 40 (6), 2069-2084, 2002
42*2002
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
412008
Discretization of polynomial vector fields by polarization
E Celledoni, RI McLachlan, DI McLaren, B Owren, GRW Quispel
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2015
362015
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
362014
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