Elena Celledoni

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Brynjulf OwrenProfessor of Mathematics, NTNU, NorwayVerified email at 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
Carola-Bibiane SchönliebDAMTP, University of CambridgeVerified email at cam.ac.uk
Matthias J. EhrhardtMathematical Sciences, University of BathVerified email at bath.ac.uk
Arieh IserlesProfessor of Mathematics, University of CambridgeVerified email at damtp.cam.ac.uk
Benjamin K TapleyResearcher, SINTEFVerified email at sintef.no
Sølve EidnesResearch Scientist, SINTEFVerified email at sintef.no
Will WrightQuant, NABVerified email at latrobe.edu.au
Dion O'NealeUniversity of AucklandVerified email at auckland.ac.nz
Volker GrimmKarlsruhe Institute of Technology (KIT)Verified email at kit.edu
Martin BenningQueen Mary University of LondonVerified email at qmul.ac.uk
Antonella Zanna Munthe-KaasProfessor in Numerical Analysis, University of BergenVerified email at math.uib.no
Helge I. AnderssonProfessor in Fluid Mechanics at Norwegian University of Science and TechnologyVerified email at ntnu.no
Davide MurariNorwegian University of Science and TechnologyVerified email at ntnu.no
Simone FioriUniversità Politecnica delle MarcheVerified email at univpm.it
David CohenProfessor, Chalmers University of Technology and University of GothenburgVerified email at chalmers.se
Christian EtmannSenior Research Scientist, Deep RenderVerified email at deeprender.ai
Håkon MarthinsenSenior software developer, DEFAVerified email at defa.com

Elena Celledoni

Professor of mathematics at the Norwegian University of Science and Technology

Verified email at math.ntnu.no

Numerical Analysis


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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	290	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	157	2009
Commutator-free Lie group methods E Celledoni, A Marthinsen, B Owren Future Generation Computer Systems 19 (3), 341-352, 2003	128	2003
Approximating the exponential from a Lie algebra to a Lie group E Celledoni, A Iserles Mathematics of Computation 69 (232), 1457-1480, 2000	119	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	116	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	113	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	107	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	90	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	88	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	84	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	65	2019
A Krylov projection method for systems of ODEs E Celledoni, I Moret Applied numerical mathematics 24 (2-3), 365-378, 1997	63	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	47	2014
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	42	2008
Shape Analysis on Lie Groups with Applications in Computer Animation E Celledoni, M Eslitzbichler, A Schmeding Journal of Geometric Mechanics (JGM). 8 (3), 2016	41	2016
A class of intrinsic schemes for orthogonal integration E Celledoni, B Owren SIAM Journal on Numerical Analysis 40 (6), 2069-2084, 2002	41*	2002
On the implementation of Lie group methods on the Stiefel manifold E Celledoni, B Owren Numerical Algorithms 32, 163-183, 2003	36	2003
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	33	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	33	2006
Structure-preserving deep learning E Celledoni, MJ Ehrhardt, C Etmann, RI McLachlan, B Owren, ... European Journal of Applied Mathematics 32 (5), 888-936, 2021	32	2021

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