Elena Celledoni

Cited by

	All	Since 2018
Citations	2449	1280
h-index	24	19
i10-index	45	34

300

150

225

19992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021202220237 8 26 16 29 31 42 43 33 77 55 61 80 83 83 91 113 130 124 162 174 160 284 223 272

Public access

View all

28 articles

1 article

available

not available

Based on funding mandates

Co-authors

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
Benjamin K TapleyResearch Scientist, SINTEFVerified email at sintef.no
Sølve EidnesResearch Scientist, SINTEFVerified email at sintef.no
Arieh IserlesProfessor of Mathematics, University of CambridgeVerified email at damtp.cam.ac.uk
Davide MurariNorwegian University of Science and TechnologyVerified email at ntnu.no
Will WrightQuant, NABVerified email at latrobe.edu.au
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
Antonella Zanna Munthe-KaasProfessor in Numerical Analysis, University of BergenVerified email at math.uib.no
Christian EtmannSenior Research Scientist, Deep RenderVerified email at deeprender.ai
Andrea LeoneNorwegian University of Science and TechnologyVerified email at ntnu.no
Ergys ÇokajPhD in Mathematics, NTNU, NorwayVerified email at studenti.unicam.it
David CohenProfessor, Chalmers University of Technology and University of GothenburgVerified email at chalmers.se

Elena Celledoni

Professor of mathematics at the Norwegian University of Science and Technology

Verified email at math.ntnu.no

Numerical Analysis


Title Sort by citations Sort by year Sort by 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	314	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	165	2009
Commutator-free Lie group methods E Celledoni, A Marthinsen, B Owren Future Generation Computer Systems 19 (3), 341-352, 2003	134	2003
Approximating the exponential from a Lie algebra to a Lie group E Celledoni, A Iserles Mathematics of Computation 69 (232), 1457-1480, 2000	123	2000
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	121	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	120	2003
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	117	2001
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	95	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	94	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	91	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	82	2019
A Krylov projection method for systems of ODEs E Celledoni, I Moret Applied numerical mathematics 24 (2-3), 365-378, 1997	64	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	51	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	45	2016
On the implementation of Lie group methods on the Stiefel manifold E Celledoni, B Owren Numerical Algorithms 32, 163-183, 2003	42	2003
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	41	2008
Structure-preserving deep learning E Celledoni, MJ Ehrhardt, C Etmann, RI McLachlan, B Owren, ... European journal of applied mathematics 32 (5), 888-936, 2021	40	2021
A class of intrinsic schemes for orthogonal integration E Celledoni, B Owren SIAM Journal on Numerical Analysis 40 (6), 2069-2084, 2002	40*	2002
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	36	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

The system can't perform the operation now. Try again later.

Articles 1–20

Citations per year

Duplicate citations

Merged citations

Add co-authorsCo-authors

Follow

Cited by

Co-authors