Elena Celledoni
About
Elena Celledoni has been employed at the Department of Mathematical Sciences since 2004. She is a professor of mathematics since 2009. She is a member of the group of differential equations and numerical analysis.
Background
She received her Master degree in mathematics from the University of Trieste in 1993, and her Ph.D in computational mathematics from the University of Padua, Italy, 1997. She held post doc positions at the University of Cambridge, UK, at the
Mathematical Sciences Research Institute, Berkeley, California and at NTNU.
Research
Her research field is in numerical analysis and in particular structure preserving algorithms for differential equations and geometric numerical integration.
Memberships, leadership experience (selection)
 Leader of the Differential Equations and Numerical Analysis Group at the Department of Mathematical Sciences and NTNU
 Member of the European Consortium of Mathematics in Industry Council
 Member of the board of the International Council of Mathematics in Industry and Applications
 Member of the Royal Norwegian Society of Sciences and Letters.

Coorganiser of a special semester at Isaac Newton Institute of MS, 2019. Geometry, compatibility and structure preservation

Member of the editorial board of SIAM Review, JCD, JGM, Calcolo, Networks and Heterogeneous Media
Publications
2023

Arnold, Martin;
Hantke, Maren;
Kruse, Raphael;
Podhaisky, Helmut;
Celledoni, Elena;
Frank, Jason.
(2023)
Numerical solution of differential and differentialalgebraic equations. Selected papers from NUMDIFF16.
Journal of Computational and Applied Mathematics
Editorial

Bogfjellmo, Geir;
Owren, Brynjulf Rustad;
Celledoni, Elena;
McLachlan, Robert I.;
Quispel, Gilles Reinout Willem.
(2023)
Using aromas to search for preserved measures and integrals in Kahan’s method.
Mathematics of Computation
Academic article

Celledoni, Elena;
Glöckner, Helge;
Riseth, Jørgen Nilsen;
Schmeding, Alexander.
(2023)
Deep neural networks on diffeomorphism groups for optimal shape reparametrization.
BIT Numerical Mathematics
Academic article
2022

Murari, Davide;
Celledoni, Elena;
Owren, Brynjulf Rustad;
Sherry, Ferdia;
Schönlieb, CarolaBibiane.
(2022)
Structure preserving neural networks based on ODEs.
NeurIPS 2022 Workshop DLDE homepage
Report

Celledoni, Elena;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2022)
Learning Hamiltonians of constrained mechanical systems.
Journal of Computational and Applied Mathematics
Academic article

Tapley, Benjamin Kwanen;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2022)
Computational geometric methods for preferential clustering of particle suspensions.
Journal of Computational Physics
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin Kwanen.
(2022)
DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS.
Journal of Computational Dynamics
Academic article

Celledoni, Elena;
Cokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf Rustad.
(2022)
Dynamics of the Nfold Pendulum in the Framework of Lie Group Integrators.
Mathematics in Industry
Academic article
2021

Andersson, Helge Ingolf;
Celledoni, Elena;
Ohm, Laurel;
Owren, Brynjulf;
Tapley, Benjamin.
(2021)
An integral model based on slender body theory, with applications to curved rigid fibers .
Physics of Fluids
Academic article

Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
Owren, Brynjulf;
Schönlieb, CarolaBibiane;
Sherry, Ferdia.
(2021)
Equivariant neural networks for inverse problems.
Inverse Problems
Academic article

Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2021)
Lie Group integrators for mechanical systems.
International Journal of Computer Mathematics
Academic article

Celledoni, Elena;
Jackaman, James.
(2021)
Discrete conservation laws for finite element discretisations of multisymplectic PDEs.
Journal of Computational Physics
Academic article

Arnold, Martin;
Podhaisky, Helmut;
Weiner, Rüdiger;
Celledoni, Elena;
Frank, Jason;
Lang, Jens.
(2021)
Numerical Solution of Differential and Differential–Algebraic Equations. Selected Papers from NUMDIFF15.
Journal of Computational and Applied Mathematics
Editorial

Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
McLachlan, Robert I.;
Owren, Brynjulf;
Schönlieb, CarolaBibiane.
(2021)
Structure preserving deep learning.
European journal of applied mathematics
Academic article
2019

Celledoni, Elena;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2019)
Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals.
Journal of Physics A: Mathematical and Theoretical
Academic article

Tapley, Benjamin;
Owren, Brynjulf;
Celledoni, Elena;
Andersson, Helge Ingolf.
(2019)
Computational methods for tracking inertial particles in discrete incompressible flows.
arXiv.org
Academic article

Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2019)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
Numerical Algorithms
Academic article

Benning, Martin;
Celledoni, Elena;
Ehrhardt, Matthias J.;
Owren, Brynjulf;
Schönlieb, CarolaBibiane.
(2019)
Deep learning as optimal control problems: models and numerical methods.
Journal of Computational Dynamics
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
arXiv.org
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin.
(2019)
Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps.
arXiv.org
Academic article

Celledoni, Elena;
Lystad, Pål Erik;
Tapia, Nikolas.
(2019)
Signatures in Shape analysis: An efficient approach to motion identification.
Lecture Notes in Computer Science (LNCS)
Academic article

Celledoni, Elena;
McLachlan, I. Robert.
(2019)
Preface. Special issue in honour of Reinout Quispel.
Journal of Computational Dynamics
Editorial

Celledoni, Elena;
Gustad, Halvor Snersrud;
Kopylov, Nikita;
Sundklakk, Henrik Sperre.
(2019)
Predicting bending moments with machine learning.
Lecture Notes in Computer Science (LNCS)
Academic article

Gustad, Halvor Snersrud;
Moe, Per Thomas;
Celledoni, Elena.
(2019)
A PDE Model for Estimating the Life Time of a Riser
.
The American Society of Mechanical Engineers (ASME)
The American Society of Mechanical Engineers (ASME)
Academic anthology/Conference proceedings

Ohm, Laurel;
Tapley, Benjamin;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2019)
A slender body model for thin rigid fibers: validation and comparisons.
International Center for Numerical Methods in Engineering (CIMNE)
Academic chapter/article/Conference paper

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
Journal of Physics A: Mathematical and Theoretical
Academic article

Li, Lu;
Celledoni, Elena.
(2019)
Krylov projection methods for linear Hamiltonian systems.
Numerical Algorithms
Academic article

Celledoni, Elena;
Farre Puiggali, Marta;
Høiseth, Eirik Hoel;
Martin de Diego, David.
(2019)
EnergyPreserving Integrators Applied to Nonholonomic Systems.
Journal of nonlinear science
Academic article

van der Kamp, Peter H.;
Celledoni, Elena;
Mclachlan, Robert, i;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem.
(2019)
Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation.
Journal of Physics A: Mathematical and Theoretical
Academic article

Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2019)
Energypreserving methods on Riemannian manifolds.
Mathematics of Computation
Academic article
2018

Celledoni, Elena;
Eidnes, Sølve;
Schmeding, Alexander.
(2018)
Shape analysis on homogeneous spaces: a generalised SRVT framework.
Abel Symposia
Academic article

Ringholm, Torbjørn;
Owren, Brynjulf;
Celledoni, Elena.
(2018)
Discrete gradient methods in image processing and partial differential equations on moving meshes.
NTNU
Doctoral dissertation

Celledoni, Elena;
Høiseth, Eirik Hoel;
Ramzina, Nataliya.
(2018)
Passivitypreserving splitting methods for rigid body
systems.
Multibody system dynamics
Academic article

Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2018)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
arXiv.org
Academic article

Celledoni, Elena;
Di Nunno, Giulia;
EbrahimiFard, Kurusch;
MuntheKaas, Hans.
(2018)
Computation and Combinatorics in Dynamics, Stochastics and Control.
Springer
Abel Symposia (1)
Academic anthology/Conference proceedings

Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2018)
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows.
SIAM Journal on Scientific Computing
Academic article
2017

Celledoni, Elena;
Eidnes, Sølve;
Eslitzbichler, Markus;
Schmeding, Alexander.
(2017)
Shape analysis on Lie groups and homogeneous manifolds.
Proceedings of the GSI conference 2017
Abstract

Celledoni, Elena;
Høiseth, Eirik Hoel.
(2017)
EnergyPreserving and PassivityConsistent Numerical Discretization of PortHamiltonian Systems.
arXiv.org
Academic article

Celledoni, Elena;
Eidnes, Sølve;
Eslitzbichler, Markus;
Schmeding, Alexander.
(2017)
Shape analysis on lie groups and homogeneous spaces.
Lecture Notes in Computer Science (LNCS)
Academic article

Celledoni, Elena;
Li, Lu.
(2017)
Symplectic Lanczos and Arnoldi Method for Solving Linear Hamiltonian Systems: Preservation of Energy and Other Invariants.
Springer Publishing Company
Progress in industrial mathematics at ECMI (26)
Nonfiction book
2016

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is completely integrable
MI Lecture Note Vol.74 : Kyushu University.
MI Lecture Note, Kyushu University
Academic article

Celledoni, Elena;
Kometa, Bawfeh Kingsley;
Verdier, Olivier.
(2016)
High Order SemiLagrangian Methods for the Incompressible Navier–Stokes Equations.
Journal of Scientific Computing
Academic article

Celledoni, Elena;
Høiseth, Eirik Hoel.
(2016)
The averaged Lagrangian method.
Journal of Computational and Applied Mathematics
Academic article

Celledoni, Elena;
Eslitzbichler, Markus;
Schmeding, Alexander.
(2016)
Shape analysis on Lie groups with application in computer animation.
Journal of Geometric Mechanics (JGM)
Academic article

Celledoni, Elena;
Farre Puiggali, Marta;
Høiseth, Eirik Hoel;
Martin de Diego, David.
(2016)
EnergyPreserving Integrators Applied to Nonholonomic Systems.
arXiv.org (1605.02845)
Report

Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is integrable.
MI Lecture Note, Kyushu University
Academic article
2015

Celledoni, Elena;
Kozlov, Roman;
Matsuo, Takayasu.
(2015)
Preface of the “Symposium on structurepreserving integrators for differential equations”.
AIP Conference Proceedings
Editorial

Celledoni, Elena;
Markus, Eslitzbichler.
(2015)
Shape Analysis on Lie Groups with Applications
in Computer Animation.
arXiv, Cornell University Library
Report

Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2015)
Discretization of polynomial vector fields by polarization.
arXiv.org
Report

Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2015)
Discretization of polynomial vector fields by polarization.
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
Academic article

Høiseth, Eirik Hoel;
Celledoni, Elena;
Gustafsson, Einar;
Ramzina, Nataliya.
(2015)
Splitting methods for controlled vessel offshore operations.
AIP Conference Proceedings
Academic article
2014

Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David;
Owren, Brynjulf;
Quispel, G. R. W..
(2014)
Integrability properties of Kahanʼs method.
Journal of Physics A: Mathematical and Theoretical
Academic article

Celledoni, Elena;
Anne Mari, Kleivedalen.
(2014)
Rigid body attitude control.
IMF,NTNU
Masters thesis

Celledoni, Elena;
Høiseth, Eirik Hoel;
Ramzina, Nataliya.
(2014)
Splitting methods for controlled vessel marine operations.
ArXiv
Report

Celledoni, Elena;
Owren, Brynjulf;
Sun, Yajuan.
(2014)
The minimal stage, energy preserving RungeKutta method for polynomial Hamiltonian systems is the Averaged Vector Field method.
Mathematics of Computation
Academic article

Celledoni, Elena;
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
An introduction to Lie group integrators  basics, new developments and applications.
Journal of Computational Physics
Academic article

Celledoni, Elena;
SanzSerna, Jesus Maria;
Zanna, Antonella.
(2014)
Guest editors' preface.
Discrete and Continuous Dynamical Systems. Series A
Editorial

Celledoni, Elena;
Owren, Brynjulf.
(2014)
Preserving first integrals with symmetric Lie group methods.
Discrete and Continuous Dynamical Systems. Series A
Academic article
2013

Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2013)
Geometric properties of Kahan's method.
Journal of Physics A: Mathematical and Theoretical
Academic article

Kvernelv, Vegard Berg;
Celledoni, Elena.
(2013)
Optimization on Matrix Manifolds with Applications to Blind Source Separation, Master thesis.
NTNU
Masters thesis

Ringheim, Inger Marie;
Celledoni, Elena.
(2013)
Numerical Solution of Equilibrium Equations of Spatial Elastica, Master thesis.
NTNU
Masters thesis
2012

Celledoni, Elena;
Matsuo, Takayasu.
(2012)
Preface of the "Symposium on structurepreserving numerical methods for differential equations".
AIP Conference Proceedings
Academic article

Celledoni, Elena;
Grimm, Volker;
McLachlan, Robert I.;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf.
(2012)
Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method.
Journal of Computational Physics
Academic article
2011

Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2011)
SemiLagrangian multistep exponential integrators for index 2 differentialalgebraic systems.
Journal of Computational Physics
Academic article
2010

Celledoni, Elena;
Säfström, Niklas.
(2010)
Hamiltonian and multiHamiltonian formulation of a rod model using quaternions.
Computer Methods in Applied Mechanics and Engineering
Academic article

Celledoni, Elena;
Zanna, Antonella .
(2010)
Algorithm 903: FRBFortran Routines for the Exact Computation of Free Rigid Body Motions.
ACM Transactions on Mathematical Software
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
On conjugate Bseries and their geometric structure.
Journal on Numerical Analysis Industrial and Applied Mathematics
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
EnergyPreserving Integrators and the Structure of Bseries.
Foundations of Computational Mathematics
Academic article

Celledoni, Elena;
Säfström, Niklas.
(2010)
A Hamiltonian and multiHamiltonian formulation of a rod model using quaternions.
Computer Methods in Applied Mechanics and Engineering
Academic article

Gisler, Galen Ross;
Celledoni, Elena;
Helgaker, Trygve;
Iversen, Trond;
Jakobsen, Kjetill Sigurd;
Jones, Colin N..
(2010)
The scientific case for eInfrastructure in Norway.
The Research Council of Norway
Report
2009

Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2009)
Order conditions for the semiLagrangian exponential integrators.
IMF, NTNU
Report

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Energypreserving integrators and the structure of Bseries.
IMF, NTNU
Report

Celledoni, Elena;
Grimm, V;
McLachlan, I. Robert;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf.
(2009)
Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method.
Institutt for matematiske fag, NTNU
Report

Celledoni, Elena;
Säfström, Niklas.
(2009)
Hamiltonian and multisymplectic formulation of a rod model using quaternions.
IMF, NTNU
Report

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Structure of Bseries for some classes of Geometric Integrators.
AIP Conference Proceedings
Academic article

Celledoni, Elena;
Säfström, Niklas.
(2009)
An elastic rod model and its Hamiltonian structure.
AIP Conference Proceedings
Academic article

Celledoni, Elena;
Kvamsdal, Trond.
(2009)
Parallelization in time for thermoviscoplastic problems in extrusion of aluminium.
International Journal for Numerical Methods in Engineering
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Reinout, Quispel;
Wright, Will.
(2009)
Energypreserving RungeKutta methods.
Mathematical Modelling and Numerical Analysis
Academic article

Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2009)
SemiLagrangian RungeKutta Exponential Integrators for Convection Dominated Problems.
Journal of Scientific Computing
Academic article
2008

Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energypreserving RungeKutta methods.
NTNU Institutt for matematiske fag
Report

Celledoni, Elena;
Zanna, Antonella.
(2008)
FRBFORTRAN routines for the exact computation of free rigid body motions.
NTNU Institutt for matematiske fag
Report

Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2008)
SemiLagrangian exponential integrators for convection dominated problems.
NTNU Institutt for matematiske fag
Report

Celledoni, Elena.
(2008)
ParaReal: FORTRAN/MPI parallel in time prototype code for the heat equation in 1 space dimension.
Software

Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energypreserving methods and Bseries.
Academic chapter/article/Conference paper

Celledoni, Elena;
Fiori, Simone.
(2008)
Descent methods for optimization on homogeneous manifolds.
Mathematics and Computers in Simulation
Academic article

Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2008)
Symmetric exponential integrators for the nonlinear Schroedinger equation.
Foundations of Computational Mathematics
Academic article

Celledoni, Elena;
Fasso, Francesco;
Sævstrøm, Niklas;
Zanna, Antonella.
(2008)
The exact computation of the free rigid body motion and its use in splitting methods.
SIAM Journal on Scientific Computing
Academic article
2007

Celledoni, Elena;
Kvamsdal, Trond.
(2007)
Parallelism in time for thermoviscoplastic problems in extrusion of aluminium.
NTNU Institutt for matematiske fag
Report

Celledoni, Elena;
Fasso, Francesco;
Sævstrøm, Niklas;
Zanna, Antonella.
(2007)
Exact computation of the solution of the free rigid body with applications.
NTNU Institutt for matematiske fag
Report

Celledoni, Elena;
Fiori, Simone.
(2007)
Descent methods for optimization on homogenous manifolds.
Institutt for Matematiske fag, NTNU
Report

Celledoni, Elena;
Fasso, Francesco;
Säfström, Niklas;
Zanna, Antonella .
(2007)
The exact computation of the free rigid body motion and its use in splitting methods.
SIAM Journal on Scientific Computing
Academic article
2006

Celledoni, Elena;
Evensberget, Dag Frohde.
(2006)
Numerical Simulation of Nonholonomic Dynamics.
NTNU Institutt for matematiske fag
Masters thesis

Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2006)
Symmetric exponential integrators for the cubic Schroedinger equation.
Institutt for Matematiske fag, NTNU
Report

Celledoni, Elena.
(2006)
SemiLagrangian methods and new integrators for convection dominated problems.
Oberwolfach Reports
Academic article

Celledoni, Elena.
(2006)
Exponential integrators for convection dominated problems.
Oberwolfach Reports
Academic article

Celledoni, Elena;
Sævstrøm, Niklas.
(2006)
Efficient timesymmetric simulation of torqued rigid bodies using Jacobi elliptic functions.
Journal of Physics A: Mathematical and General
Academic article

Celledoni, Elena;
Sævstrøm, Niklas.
(2006)
A symmetric splitting method for rigid body dynamics.
MIC Journal: Modeling, Identification and Control
Academic article
2005

Amundsen, J;
Andersson, H;
Celledoni, E;
Gravdahl, T;
Michelsen, F;
Nagel, H.
(2005)
SIMS 2005. 46th Conference on Simulation and Modeling.
Tapir Akademisk Forlag
Tapir Akademisk Forlag
Academic anthology/Conference proceedings

Celledoni, Elena;
Sævstrøm, Niklas.
(2005)
A symmetric splitting method for rigid body dynamics.
Tapir Akademisk Forlag
Academic chapter/article/Conference paper

Amundsen, Jørn Aslak;
Andersson, Helge Ingolf;
Celledoni, Elena;
Gravdahl, Jan Tommy;
Nagel, Henrik;
Natvig, Thorvald.
(2005)
SIMS 2005 46th Conference on Simulation and Modeling.
Tapir Akademisk Forlag
Tapir Akademisk Forlag
Academic anthology/Conference proceedings

Celledoni, Elena.
(2005)
Eulerian and SemiLagrangian schemes based on commutator free exponential integrators.
CRM Proceedings and Lecture notes AMS
Academic article
2004

Celledoni, Elena;
Kvamsdal, Trond.
(2004)
Parallel time solver for the transient Stokes problem.
NSCM17Proceedings of the 17th Nordic seminar on computational mechanics, October 1516, 2004
Academic anthology/Conference proceedings

Celledoni, Elena;
Fiori, Simone.
(2004)
Neural Learning by Geometric Integration of Reduced 'Rigid Body' Equations.
Journal of Computational and Applied Mathematics
Academic article
2003

Celledoni, Elena;
Owren, Brynjulf.
(2003)
On the Implementation of Lie Group Methods on the Stiefel Manifold.
Numerical Algorithms
Academic article

Celledoni, Elena;
Marthinsen, Arne;
Owren, Brynjulf.
(2003)
Commutatorfree Lie group methods.
Future Generation Computer Systems
Academic article

Celledoni, Elena;
Owren, Brynjulf.
(2003)
Lie group methods for rigid body dynamics and time integration on manifolds.
Computer Methods in Applied Mechanics and Engineering
Academic article
2002

Celledoni, Elena;
Iserles, Arieh;
Nørsett, Syvert P.;
Orel, Bojan.
(2002)
Complexity Theory for LieGroup Solvers.
Journal of Complexity
Academic article

Celledoni, Elena;
Owren, Brynjulf.
(2002)
A class of intrinsic schemes for orthogonal integration.
SIAM Journal on Numerical Analysis
Academic article
2001

Celledoni, Elena;
Owren, Brynjulf.
(2001)
A class of low complexity intrinsic schemes for orthogonal integration.
Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
Report

Celledoni, Elena;
Johannessen, Geir;
Kvamsdal, Trond.
(2001)
Parallelisation of a CFD Code: The use of Aztec Library in the Parallel Numerical Simulation of Extrusion of Aluminium.
Elsevier
Academic chapter/article/Conference paper

Celledoni, Elena.
(2001)
A note on the numerical integration of the KdV equation via isospectral deformations.
Journal of Physics A: Mathematical and General
Academic article

Celledoni, Elena;
Iserles, Arieh.
(2001)
Methods for the approximation of the matrix exponential in a Liealgebraic setting.
IMA Journal of Numerical Analysis
Academic article
2000

Celledoni, Elena;
Iserles, Arieh.
(2000)
Approximating the matrix exponential from a Lie algebra to a Lie group.
Mathematics of Computation
Academic article
1998

Celledoni, Elena.
(1998)
Discrete QMR and BCG in the numerical solution od linear systems of ODEs.
Journal of Computational and Applied Mathematics
Academic article
1997

Celledoni, Elena.
(1997)
Metodi di Krylov per sistemi lineari di equazioni differenziali ordinarie.
Dipartimento di matematica pura ed applicata, Univ. Padova
Doctoral dissertation

Celledoni, Elena;
Moret, Igor.
(1997)
A Krylov projection method for systems of ODEs.
Applied Numerical Mathematics
Academic article
Journal publications

Arnold, Martin;
Hantke, Maren;
Kruse, Raphael;
Podhaisky, Helmut;
Celledoni, Elena;
Frank, Jason.
(2023)
Numerical solution of differential and differentialalgebraic equations. Selected papers from NUMDIFF16.
Journal of Computational and Applied Mathematics
Editorial

Bogfjellmo, Geir;
Owren, Brynjulf Rustad;
Celledoni, Elena;
McLachlan, Robert I.;
Quispel, Gilles Reinout Willem.
(2023)
Using aromas to search for preserved measures and integrals in Kahan’s method.
Mathematics of Computation
Academic article

Celledoni, Elena;
Glöckner, Helge;
Riseth, Jørgen Nilsen;
Schmeding, Alexander.
(2023)
Deep neural networks on diffeomorphism groups for optimal shape reparametrization.
BIT Numerical Mathematics
Academic article

Celledoni, Elena;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2022)
Learning Hamiltonians of constrained mechanical systems.
Journal of Computational and Applied Mathematics
Academic article

Tapley, Benjamin Kwanen;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2022)
Computational geometric methods for preferential clustering of particle suspensions.
Journal of Computational Physics
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin Kwanen.
(2022)
DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS.
Journal of Computational Dynamics
Academic article

Celledoni, Elena;
Cokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf Rustad.
(2022)
Dynamics of the Nfold Pendulum in the Framework of Lie Group Integrators.
Mathematics in Industry
Academic article

Andersson, Helge Ingolf;
Celledoni, Elena;
Ohm, Laurel;
Owren, Brynjulf;
Tapley, Benjamin.
(2021)
An integral model based on slender body theory, with applications to curved rigid fibers .
Physics of Fluids
Academic article

Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
Owren, Brynjulf;
Schönlieb, CarolaBibiane;
Sherry, Ferdia.
(2021)
Equivariant neural networks for inverse problems.
Inverse Problems
Academic article

Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2021)
Lie Group integrators for mechanical systems.
International Journal of Computer Mathematics
Academic article

Celledoni, Elena;
Jackaman, James.
(2021)
Discrete conservation laws for finite element discretisations of multisymplectic PDEs.
Journal of Computational Physics
Academic article

Arnold, Martin;
Podhaisky, Helmut;
Weiner, Rüdiger;
Celledoni, Elena;
Frank, Jason;
Lang, Jens.
(2021)
Numerical Solution of Differential and Differential–Algebraic Equations. Selected Papers from NUMDIFF15.
Journal of Computational and Applied Mathematics
Editorial

Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
McLachlan, Robert I.;
Owren, Brynjulf;
Schönlieb, CarolaBibiane.
(2021)
Structure preserving deep learning.
European journal of applied mathematics
Academic article

Celledoni, Elena;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2019)
Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals.
Journal of Physics A: Mathematical and Theoretical
Academic article

Tapley, Benjamin;
Owren, Brynjulf;
Celledoni, Elena;
Andersson, Helge Ingolf.
(2019)
Computational methods for tracking inertial particles in discrete incompressible flows.
arXiv.org
Academic article

Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2019)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
Numerical Algorithms
Academic article

Benning, Martin;
Celledoni, Elena;
Ehrhardt, Matthias J.;
Owren, Brynjulf;
Schönlieb, CarolaBibiane.
(2019)
Deep learning as optimal control problems: models and numerical methods.
Journal of Computational Dynamics
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
arXiv.org
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin.
(2019)
Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps.
arXiv.org
Academic article

Celledoni, Elena;
Lystad, Pål Erik;
Tapia, Nikolas.
(2019)
Signatures in Shape analysis: An efficient approach to motion identification.
Lecture Notes in Computer Science (LNCS)
Academic article

Celledoni, Elena;
McLachlan, I. Robert.
(2019)
Preface. Special issue in honour of Reinout Quispel.
Journal of Computational Dynamics
Editorial

Celledoni, Elena;
Gustad, Halvor Snersrud;
Kopylov, Nikita;
Sundklakk, Henrik Sperre.
(2019)
Predicting bending moments with machine learning.
Lecture Notes in Computer Science (LNCS)
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
Journal of Physics A: Mathematical and Theoretical
Academic article

Li, Lu;
Celledoni, Elena.
(2019)
Krylov projection methods for linear Hamiltonian systems.
Numerical Algorithms
Academic article

Celledoni, Elena;
Farre Puiggali, Marta;
Høiseth, Eirik Hoel;
Martin de Diego, David.
(2019)
EnergyPreserving Integrators Applied to Nonholonomic Systems.
Journal of nonlinear science
Academic article

van der Kamp, Peter H.;
Celledoni, Elena;
Mclachlan, Robert, i;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem.
(2019)
Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation.
Journal of Physics A: Mathematical and Theoretical
Academic article

Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2019)
Energypreserving methods on Riemannian manifolds.
Mathematics of Computation
Academic article

Celledoni, Elena;
Eidnes, Sølve;
Schmeding, Alexander.
(2018)
Shape analysis on homogeneous spaces: a generalised SRVT framework.
Abel Symposia
Academic article

Celledoni, Elena;
Høiseth, Eirik Hoel;
Ramzina, Nataliya.
(2018)
Passivitypreserving splitting methods for rigid body
systems.
Multibody system dynamics
Academic article

Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2018)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
arXiv.org
Academic article

Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2018)
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows.
SIAM Journal on Scientific Computing
Academic article

Celledoni, Elena;
Eidnes, Sølve;
Eslitzbichler, Markus;
Schmeding, Alexander.
(2017)
Shape analysis on Lie groups and homogeneous manifolds.
Proceedings of the GSI conference 2017
Abstract

Celledoni, Elena;
Høiseth, Eirik Hoel.
(2017)
EnergyPreserving and PassivityConsistent Numerical Discretization of PortHamiltonian Systems.
arXiv.org
Academic article

Celledoni, Elena;
Eidnes, Sølve;
Eslitzbichler, Markus;
Schmeding, Alexander.
(2017)
Shape analysis on lie groups and homogeneous spaces.
Lecture Notes in Computer Science (LNCS)
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is completely integrable
MI Lecture Note Vol.74 : Kyushu University.
MI Lecture Note, Kyushu University
Academic article

Celledoni, Elena;
Kometa, Bawfeh Kingsley;
Verdier, Olivier.
(2016)
High Order SemiLagrangian Methods for the Incompressible Navier–Stokes Equations.
Journal of Scientific Computing
Academic article

Celledoni, Elena;
Høiseth, Eirik Hoel.
(2016)
The averaged Lagrangian method.
Journal of Computational and Applied Mathematics
Academic article

Celledoni, Elena;
Eslitzbichler, Markus;
Schmeding, Alexander.
(2016)
Shape analysis on Lie groups with application in computer animation.
Journal of Geometric Mechanics (JGM)
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is integrable.
MI Lecture Note, Kyushu University
Academic article

Celledoni, Elena;
Kozlov, Roman;
Matsuo, Takayasu.
(2015)
Preface of the “Symposium on structurepreserving integrators for differential equations”.
AIP Conference Proceedings
Editorial

Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2015)
Discretization of polynomial vector fields by polarization.
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
Academic article

Høiseth, Eirik Hoel;
Celledoni, Elena;
Gustafsson, Einar;
Ramzina, Nataliya.
(2015)
Splitting methods for controlled vessel offshore operations.
AIP Conference Proceedings
Academic article

Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David;
Owren, Brynjulf;
Quispel, G. R. W..
(2014)
Integrability properties of Kahanʼs method.
Journal of Physics A: Mathematical and Theoretical
Academic article

Celledoni, Elena;
Owren, Brynjulf;
Sun, Yajuan.
(2014)
The minimal stage, energy preserving RungeKutta method for polynomial Hamiltonian systems is the Averaged Vector Field method.
Mathematics of Computation
Academic article

Celledoni, Elena;
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
An introduction to Lie group integrators  basics, new developments and applications.
Journal of Computational Physics
Academic article

Celledoni, Elena;
SanzSerna, Jesus Maria;
Zanna, Antonella.
(2014)
Guest editors' preface.
Discrete and Continuous Dynamical Systems. Series A
Editorial

Celledoni, Elena;
Owren, Brynjulf.
(2014)
Preserving first integrals with symmetric Lie group methods.
Discrete and Continuous Dynamical Systems. Series A
Academic article

Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2013)
Geometric properties of Kahan's method.
Journal of Physics A: Mathematical and Theoretical
Academic article

Celledoni, Elena;
Matsuo, Takayasu.
(2012)
Preface of the "Symposium on structurepreserving numerical methods for differential equations".
AIP Conference Proceedings
Academic article

Celledoni, Elena;
Grimm, Volker;
McLachlan, Robert I.;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf.
(2012)
Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method.
Journal of Computational Physics
Academic article

Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2011)
SemiLagrangian multistep exponential integrators for index 2 differentialalgebraic systems.
Journal of Computational Physics
Academic article

Celledoni, Elena;
Säfström, Niklas.
(2010)
Hamiltonian and multiHamiltonian formulation of a rod model using quaternions.
Computer Methods in Applied Mechanics and Engineering
Academic article

Celledoni, Elena;
Zanna, Antonella .
(2010)
Algorithm 903: FRBFortran Routines for the Exact Computation of Free Rigid Body Motions.
ACM Transactions on Mathematical Software
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
On conjugate Bseries and their geometric structure.
Journal on Numerical Analysis Industrial and Applied Mathematics
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
EnergyPreserving Integrators and the Structure of Bseries.
Foundations of Computational Mathematics
Academic article

Celledoni, Elena;
Säfström, Niklas.
(2010)
A Hamiltonian and multiHamiltonian formulation of a rod model using quaternions.
Computer Methods in Applied Mechanics and Engineering
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Structure of Bseries for some classes of Geometric Integrators.
AIP Conference Proceedings
Academic article

Celledoni, Elena;
Säfström, Niklas.
(2009)
An elastic rod model and its Hamiltonian structure.
AIP Conference Proceedings
Academic article

Celledoni, Elena;
Kvamsdal, Trond.
(2009)
Parallelization in time for thermoviscoplastic problems in extrusion of aluminium.
International Journal for Numerical Methods in Engineering
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Reinout, Quispel;
Wright, Will.
(2009)
Energypreserving RungeKutta methods.
Mathematical Modelling and Numerical Analysis
Academic article

Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2009)
SemiLagrangian RungeKutta Exponential Integrators for Convection Dominated Problems.
Journal of Scientific Computing
Academic article

Celledoni, Elena;
Fiori, Simone.
(2008)
Descent methods for optimization on homogeneous manifolds.
Mathematics and Computers in Simulation
Academic article

Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2008)
Symmetric exponential integrators for the nonlinear Schroedinger equation.
Foundations of Computational Mathematics
Academic article

Celledoni, Elena;
Fasso, Francesco;
Sævstrøm, Niklas;
Zanna, Antonella.
(2008)
The exact computation of the free rigid body motion and its use in splitting methods.
SIAM Journal on Scientific Computing
Academic article

Celledoni, Elena;
Fasso, Francesco;
Säfström, Niklas;
Zanna, Antonella .
(2007)
The exact computation of the free rigid body motion and its use in splitting methods.
SIAM Journal on Scientific Computing
Academic article

Celledoni, Elena.
(2006)
SemiLagrangian methods and new integrators for convection dominated problems.
Oberwolfach Reports
Academic article

Celledoni, Elena.
(2006)
Exponential integrators for convection dominated problems.
Oberwolfach Reports
Academic article

Celledoni, Elena;
Sævstrøm, Niklas.
(2006)
Efficient timesymmetric simulation of torqued rigid bodies using Jacobi elliptic functions.
Journal of Physics A: Mathematical and General
Academic article

Celledoni, Elena;
Sævstrøm, Niklas.
(2006)
A symmetric splitting method for rigid body dynamics.
MIC Journal: Modeling, Identification and Control
Academic article

Celledoni, Elena.
(2005)
Eulerian and SemiLagrangian schemes based on commutator free exponential integrators.
CRM Proceedings and Lecture notes AMS
Academic article

Celledoni, Elena;
Fiori, Simone.
(2004)
Neural Learning by Geometric Integration of Reduced 'Rigid Body' Equations.
Journal of Computational and Applied Mathematics
Academic article

Celledoni, Elena;
Owren, Brynjulf.
(2003)
On the Implementation of Lie Group Methods on the Stiefel Manifold.
Numerical Algorithms
Academic article

Celledoni, Elena;
Marthinsen, Arne;
Owren, Brynjulf.
(2003)
Commutatorfree Lie group methods.
Future Generation Computer Systems
Academic article

Celledoni, Elena;
Owren, Brynjulf.
(2003)
Lie group methods for rigid body dynamics and time integration on manifolds.
Computer Methods in Applied Mechanics and Engineering
Academic article

Celledoni, Elena;
Iserles, Arieh;
Nørsett, Syvert P.;
Orel, Bojan.
(2002)
Complexity Theory for LieGroup Solvers.
Journal of Complexity
Academic article

Celledoni, Elena;
Owren, Brynjulf.
(2002)
A class of intrinsic schemes for orthogonal integration.
SIAM Journal on Numerical Analysis
Academic article

Celledoni, Elena.
(2001)
A note on the numerical integration of the KdV equation via isospectral deformations.
Journal of Physics A: Mathematical and General
Academic article

Celledoni, Elena;
Iserles, Arieh.
(2001)
Methods for the approximation of the matrix exponential in a Liealgebraic setting.
IMA Journal of Numerical Analysis
Academic article

Celledoni, Elena;
Iserles, Arieh.
(2000)
Approximating the matrix exponential from a Lie algebra to a Lie group.
Mathematics of Computation
Academic article

Celledoni, Elena.
(1998)
Discrete QMR and BCG in the numerical solution od linear systems of ODEs.
Journal of Computational and Applied Mathematics
Academic article

Celledoni, Elena;
Moret, Igor.
(1997)
A Krylov projection method for systems of ODEs.
Applied Numerical Mathematics
Academic article
Books

Gustad, Halvor Snersrud;
Moe, Per Thomas;
Celledoni, Elena.
(2019)
A PDE Model for Estimating the Life Time of a Riser
.
The American Society of Mechanical Engineers (ASME)
The American Society of Mechanical Engineers (ASME)
Academic anthology/Conference proceedings

Celledoni, Elena;
Di Nunno, Giulia;
EbrahimiFard, Kurusch;
MuntheKaas, Hans.
(2018)
Computation and Combinatorics in Dynamics, Stochastics and Control.
Springer
Abel Symposia (1)
Academic anthology/Conference proceedings

Celledoni, Elena;
Li, Lu.
(2017)
Symplectic Lanczos and Arnoldi Method for Solving Linear Hamiltonian Systems: Preservation of Energy and Other Invariants.
Springer Publishing Company
Progress in industrial mathematics at ECMI (26)
Nonfiction book

Amundsen, J;
Andersson, H;
Celledoni, E;
Gravdahl, T;
Michelsen, F;
Nagel, H.
(2005)
SIMS 2005. 46th Conference on Simulation and Modeling.
Tapir Akademisk Forlag
Tapir Akademisk Forlag
Academic anthology/Conference proceedings

Amundsen, Jørn Aslak;
Andersson, Helge Ingolf;
Celledoni, Elena;
Gravdahl, Jan Tommy;
Nagel, Henrik;
Natvig, Thorvald.
(2005)
SIMS 2005 46th Conference on Simulation and Modeling.
Tapir Akademisk Forlag
Tapir Akademisk Forlag
Academic anthology/Conference proceedings

Celledoni, Elena;
Kvamsdal, Trond.
(2004)
Parallel time solver for the transient Stokes problem.
NSCM17Proceedings of the 17th Nordic seminar on computational mechanics, October 1516, 2004
Academic anthology/Conference proceedings
Part of book/report

Ohm, Laurel;
Tapley, Benjamin;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2019)
A slender body model for thin rigid fibers: validation and comparisons.
International Center for Numerical Methods in Engineering (CIMNE)
Academic chapter/article/Conference paper

Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energypreserving methods and Bseries.
Academic chapter/article/Conference paper

Celledoni, Elena;
Sævstrøm, Niklas.
(2005)
A symmetric splitting method for rigid body dynamics.
Tapir Akademisk Forlag
Academic chapter/article/Conference paper

Celledoni, Elena;
Johannessen, Geir;
Kvamsdal, Trond.
(2001)
Parallelisation of a CFD Code: The use of Aztec Library in the Parallel Numerical Simulation of Extrusion of Aluminium.
Elsevier
Academic chapter/article/Conference paper
Report

Murari, Davide;
Celledoni, Elena;
Owren, Brynjulf Rustad;
Sherry, Ferdia;
Schönlieb, CarolaBibiane.
(2022)
Structure preserving neural networks based on ODEs.
NeurIPS 2022 Workshop DLDE homepage
Report

Ringholm, Torbjørn;
Owren, Brynjulf;
Celledoni, Elena.
(2018)
Discrete gradient methods in image processing and partial differential equations on moving meshes.
NTNU
Doctoral dissertation

Celledoni, Elena;
Farre Puiggali, Marta;
Høiseth, Eirik Hoel;
Martin de Diego, David.
(2016)
EnergyPreserving Integrators Applied to Nonholonomic Systems.
arXiv.org (1605.02845)
Report

Celledoni, Elena;
Markus, Eslitzbichler.
(2015)
Shape Analysis on Lie Groups with Applications
in Computer Animation.
arXiv, Cornell University Library
Report

Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2015)
Discretization of polynomial vector fields by polarization.
arXiv.org
Report

Celledoni, Elena;
Anne Mari, Kleivedalen.
(2014)
Rigid body attitude control.
IMF,NTNU
Masters thesis

Celledoni, Elena;
Høiseth, Eirik Hoel;
Ramzina, Nataliya.
(2014)
Splitting methods for controlled vessel marine operations.
ArXiv
Report

Kvernelv, Vegard Berg;
Celledoni, Elena.
(2013)
Optimization on Matrix Manifolds with Applications to Blind Source Separation, Master thesis.
NTNU
Masters thesis

Ringheim, Inger Marie;
Celledoni, Elena.
(2013)
Numerical Solution of Equilibrium Equations of Spatial Elastica, Master thesis.
NTNU
Masters thesis

Gisler, Galen Ross;
Celledoni, Elena;
Helgaker, Trygve;
Iversen, Trond;
Jakobsen, Kjetill Sigurd;
Jones, Colin N..
(2010)
The scientific case for eInfrastructure in Norway.
The Research Council of Norway
Report

Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2009)
Order conditions for the semiLagrangian exponential integrators.
IMF, NTNU
Report

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Energypreserving integrators and the structure of Bseries.
IMF, NTNU
Report

Celledoni, Elena;
Grimm, V;
McLachlan, I. Robert;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf.
(2009)
Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method.
Institutt for matematiske fag, NTNU
Report

Celledoni, Elena;
Säfström, Niklas.
(2009)
Hamiltonian and multisymplectic formulation of a rod model using quaternions.
IMF, NTNU
Report

Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energypreserving RungeKutta methods.
NTNU Institutt for matematiske fag
Report

Celledoni, Elena;
Zanna, Antonella.
(2008)
FRBFORTRAN routines for the exact computation of free rigid body motions.
NTNU Institutt for matematiske fag
Report

Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2008)
SemiLagrangian exponential integrators for convection dominated problems.
NTNU Institutt for matematiske fag
Report

Celledoni, Elena;
Kvamsdal, Trond.
(2007)
Parallelism in time for thermoviscoplastic problems in extrusion of aluminium.
NTNU Institutt for matematiske fag
Report

Celledoni, Elena;
Fasso, Francesco;
Sævstrøm, Niklas;
Zanna, Antonella.
(2007)
Exact computation of the solution of the free rigid body with applications.
NTNU Institutt for matematiske fag
Report

Celledoni, Elena;
Fiori, Simone.
(2007)
Descent methods for optimization on homogenous manifolds.
Institutt for Matematiske fag, NTNU
Report

Celledoni, Elena;
Evensberget, Dag Frohde.
(2006)
Numerical Simulation of Nonholonomic Dynamics.
NTNU Institutt for matematiske fag
Masters thesis

Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2006)
Symmetric exponential integrators for the cubic Schroedinger equation.
Institutt for Matematiske fag, NTNU
Report

Celledoni, Elena;
Owren, Brynjulf.
(2001)
A class of low complexity intrinsic schemes for orthogonal integration.
Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
Report

Celledoni, Elena.
(1997)
Metodi di Krylov per sistemi lineari di equazioni differenziali ordinarie.
Dipartimento di matematica pura ed applicata, Univ. Padova
Doctoral dissertation
PRODUKT

Celledoni, Elena.
(2008)
ParaReal: FORTRAN/MPI parallel in time prototype code for the heat equation in 1 space dimension.
Software
Teaching
Courses
Media
2022

PosterNoren, Håkon; Celledoni, Elena; Eidnes, Sølve. (2022) Numerical integrators for learning dynamical systems from noisy data. NeurIPS The Symbiosis of Deep Learning and Differential Equations , Virtual Workshop 20221209  20221209
2019

Academic lectureOhm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons. Faculty of Engineering NTNU 10th National Conference on Computational Mechanics , Trondheim 20190603  20190604
2018

Academic lectureTapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. (2018) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. University of Auckland Auckland Numerical Ordinary Differential Equations Conference , Auckland 20180219  20180223

Academic lectureCelledoni, Elena; Høiseth, Eirik Hoel. (2018) Structure preserving discretization of portHamiltonian systems. University of Auckland ANODE 2018 , Auckland 20180219  20180223

Academic lectureCelledoni, Elena. (2018) Deep learning as optimal control problems. MartinLuther University Halle Numdiff Halle , Halle (Saale) 20180903  20180907

Academic lectureCelledoni, Elena. (2018) Deep learning as optimal control problems. University of Gdansk, Karolina Kropielnicka Modern Numerical Methods for Quantum Mechanics II , Gdansk 20180627  20180629
2017

Academic lectureOwren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Structure preserving model reduction on Lie groups. NTNU ChiPS kickoff meeting , Trondheim 20170627  20170630

Academic lectureOwren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Structure preserving model reduction on manifolds. From computation to information: recent advances in numerical analysis , Cambridge 20170831  20170901

PosterTapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Ohm, Laurel; Owren, Brynjulf; Zhao, Lihao. (2017) Splitting method integration of nonspherical particles in shear flow. FoCM 2017 , Barcelona 20170710  20170719

Academic lectureOwren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Model reduction in Lie group integration. University of Bath SciCADE 2017 , Bath 20170911  20170915

Academic lectureCelledoni, Elena. (2017) Shape analysis on Lie groups and homogeneous manifolds. University of Bath SciCADE 2017 , Bath 20170911  20170916

LectureCelledoni, Elena. (2017) Shape analsis on homogeneous manifolds. Banff international research station Connections in Geometric Numerical Integration and StructurePreserving Discretization , Banff 20170611  20170616

Academic lectureCelledoni, Elena. (2017) Shape analysis on Lie groups and homogeneous manifolds. University of La Laguna V Iberoamerican Meeting on Geometry, Mechanics and Control. 20170116  20170120

Academic lectureSchmeding, Alexander; Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus. (2017) Shape analysis on Lie groups and beyond. MekIT’17  9th National Conference on Computational Mechanics , NTNU Trondheim 20170511  20170512

Academic lectureCelledoni, Elena. (2017) Shape analysis on Lie groups and homogeneous spaces. EUMathsIn Future and Emerging Mathematical Technologies , Lorentz Institute, Leiden 20171211  20171215
2016

PosterSchmeding, Alexander; Celledoni, Elena; Eslitzbichler, Markus. (2016) Shape Analysis on Lie Groups (and beyond) with Applications. NTNU Trondheim Math meets Industry , Scandic Lerkendal Hotel, Trondheim 20160922  20160923

Academic lectureCelledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with applications in computer animation. MFO Oberwolfach Workshop , Oberwolfach 20160320  20160326

Academic lectureCelledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with applications in computer animation. CeMEAI, ICMECC, SBMAC International Workshop on Industrial Mathematics , Campinas – Sao Paulo, Brazil 20160505  20160506

Academic lectureCelledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Lie groups shape analysis and computer animation. NTNU and UiB MaGIC , Ilsetra 20160218  20160221

Academic lectureCelledoni, Elena. (2016) Energypreserving methods applied to nonholnomic systems. MaxPlank Institute of Plasma Physics 2nd Geometric Algorithms and Methods for Plasma Physics Workshop (GAMPP) , Munchen 20160912  20160916

Academic lectureCelledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with applications in computer animation. Universita' di Trieste SDIDE , Trieste 20160621  20160624
2015

Academic lectureCelledoni, Elena. (2015) Structure preserving integration of portHamiltonian systems. SciCADE 20150914  20150918

Academic lectureCelledoni, Elena. (2015) Structure preserving model reduction. MaGIC , Myrkdalen 20150226  20150301

Academic lectureCelledoni, Elena. (2015) Analysis of shapes on Lie groups with application to computer animation. M. Arnold, H. Podhaisky, R. Weiner, W. Hundsdorfer, J. Frank NumDiff 14 , Martin Luther University, Halle 20150907  20150911

Academic lectureCelledoni, Elena. (2015) Shape Analysis on Lie Groups. Düring, Bertram, Schönlieb, CarolaBibiane, Wolfram, MarieT Gradient flows: from theory to application , ICMS, 15 South College Street, Edinburgh 20150420  20150424

Academic lectureCelledoni, Elena. (2015) Shape analysis on Lie groups for computer animation. P. Muir, W. Enright, M. Gentelman THE 2015 BLUENOSE APPLIED & COMPUTATIONAL M AT H DAY S Workshop , St. Mary University, Halifax, Canada 20150711  20150712

Academic lectureOwren, Brynjulf; Celledoni, Elena. (2015) Structurepreserving discretization of differential equations. AARMS/PIMS AARMSPIMS Summer School in Differential Equations and Numerical Analysis , Halifax 20150706  20150731

Academic lectureCelledoni, Elena. (2015) Geometric Numerical Methods for Differential Equations in Applications of Computer Animation and PortHamiltonian Systems. ICMAT, Madrid Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and LieButcher Series 20150525  20150528
2014

Academic lectureCelledoni, Elena. (2014) Geometric properties of Kahan's method. Hong Qin International Conference on Geometric Algorithms and Methods for Plasma Physics , USTC, Hefei, China, May 2014. 20140513  20140515

Academic lecture

Academic lectureCelledoni, Elena. (2014) Structure preservation of portHamiltonian systems. AIMS , Madrid 20140707  20140711

Academic lectureCelledoni, Elena. (2014) Scrtucture presevation of portHamiltonian systems. University of Kyoto KCNADE 2014 , Kyoto 20140916  20140920

LectureCelledoni, Elena. (2014) Structure preservation of portHamiltonian systems. Chineese Academy of Sciences , Beijing 20140517  20140517
2013

Academic lectureCelledoni, Elena. (2013) Energy preservation for rigid body attitude dynanics with PID controls. Geometric Integration and Dynamical Systems , La Trobe University, Melbourne 20131217 

Academic lectureCelledoni, Elena. (2013) Lie group methods. Simula research laboratory Nordic seminar in computational mechanics , Oslo 20131023  20131025

Academic lectureCelledoni, Elena. (2013) Passivity preserving methods. Peter Van der Kamp Geometric Integration and Discrete Integrability , La Trobe University, Melbourne, Australia, December 2013. 20131217  20131218

Academic lectureCelledoni, Elena; Owren, Brynjulf. (2013) Lie group integrators and preservation of first integrals. NTNU and UiB MAGiC , Geilo 20130226  20130301

Academic lectureRamzina, Nataliya; Celledoni, Elena. (2013) Timeefficient integrator for solving the marine vessel equations of motion by splitting schemes. Simula Senter Nordic seminar in Computational Mechanics , Oslo 20131024  20131025

Academic lectureCelledoni, Elena; Owren, Brynjulf. (2013) Lie group methods for numerical simulation of mechanical systems. Nordic seminar in Computational Mechanics 20131023  20131025

Academic lectureCelledoni, Elena. (2013) Integral preserving Lie group integrators. NTNU JE Forness NorwegianChineese mathematics workshop , Trondheim 20130617  20130630

Academic lectureCelledoni, Elena. (2013) Geometric properties of the Kahan method. Allan Fordy Integrable Algorithms: New Frontiers in Numerical Analysis , Leeds 20130315  20130317

Academic lectureCelledoni, Elena; Owren, Brynjulf. (2013) Integral preserving Lie group integrators. ICMAT K EbrahimiFard TNADE , Madrid 20130708  20130712

Academic lectureCelledoni, Elena. (2013) Preserving first integrals with Lie group integrators. Universitad det Valladolid SciCADE 2013 , Valladolid 20130916  20130920

Academic lectureOwren, Brynjulf; Celledoni, Elena. (2013) Kahan's method and its geometric properties. Equadiff 2013 20130820  20130830

Academic lectureOwren, Brynjulf; Celledoni, Elena; McLachlan, Robert I.; Quispel, G.R.W.. (2013) Kahan's integrator for quadratic problems and its geometric properties. UiB, NTNU Magic 2013 , Geilo 20130225  20130301
2012

Academic lectureCelledoni, Elena; Owren, Brynjulf. (2012) The Kahan's method and its geometric properties. Ahmed SALAM et al. Structured Matrix Computations in nonEuclidean Geometries: Algorithms and Applications , CIRM, Lumini 20121008  20121012

Academic lectureOwren, Brynjulf; Celledoni, Elena. (2012) Lie group integrators and the preservation of first integrals. Ahmed SALAM et al. Structured Matrix Computations in nonEuclidean Geometries: Algorithms and Applications , CIRM, Lumini 20121008  20121012
2010

Academic lectureCelledoni, Elena. (2010) On Bseries and their structurepreserving properties. CISC Combinatorics and Control , Madrid 20100406  20100409

Academic lectureCelledoni, Elena. (2010) Energypreserving integrators. Kurusch Ebraimi Fard Combinatorics and Control conference , La Cristalera. Miraflores de la Sierra 20100621  20100625

Academic lectureCelledoni, Elena. (2010) Energypreserving integrators. Greg Reid New geometric and numeric tools for the analysis of differential equations , Banff 20100813  20100815

Academic lectureCelledoni, Elena. (2010) The minimal stage, energy preserving RungeKutta method for polynomial Hamiltonian systems is the AVF method. R. Quispel TRAGIC , Australia (Tasmania) 20101212  20101217
2009

Academic lectureCelledoni, Elena; Säfström, Niklas. (2009) An elastic beam rod modell and its Hamiltonian structure. T.S. Simos 7th International Conference of Numerical Analysis and Applied Mathematics , Crete 20090918  20090922

Academic lectureOwren, Brynjulf; Celledoni, Elena; McLachlan, I. Robert; Quispel, Reinout. (2009) Structure of Bseries for some classes of geometric integrators. T. E. Simos 7th International Conference of Numerical Analysis and Applied Mathematics , Rethymno, Crete 20090918  20090922

Academic lectureCelledoni, Elena. (2009) Bseries and their energypreserving properties. M. Gander, C. Lubich, G. Wanner Hairer 60 , Geneve 20090617  20090621

Academic lectureCelledoni, Elena. (2009) Bseries and their energypreserving properties. Jialing Hong SCICADE Beijing 2009 , Beijing 20090525  20090529

Academic lectureCelledoni, Elena. (2009) On Bseries and their structure preserving properties. UiB og NTNU MaGIC , Hørnsjoen 20090303  20090306
2008

Academic lectureCelledoni, Elena. (2008) Geometrically exact models of rods: Hamiltonian and multisymplectic structures. E. Hairer Seminar at the Department of Mathematics in Geneva , Geneva 20080416 

Academic lectureCelledoni, Elena. (2008) Energypreserving Bseries methods: an overview. Professor Bau Workshop at Tsinghua University, Beijing , Tsinghua University, Beijing 20080618  20080618

Academic lectureCelledoni, Elena. (2008) Energy preserving RungeKutta and Bseries methods. Giancarlo Benettin Seminar at the Department of Mathematics in Padova , Padova 20080506  20080506

Academic lectureCelledoni, Elena. (2008) Hamiltonian structure of a geometrically exact rod model. Jialing Hong Workshop at the Chinese Academy of Sciences , Beijing 20080612  20080612

Academic lectureCelledoni, Elena. (2008) On a "geometrically exact" rod model and its formulation as an Hamiltonian PDE. Robert McLachlan Seminar at the Department of Mathematics in Massey University , Massey University, Palmerston North 20080130 

Academic lectureCelledoni, Elena. (2008) SemiLagrangian exponential integrators for convection dominated problems. Annalisa Buffa IMATI Seminars , IMATI Pavia 20081023 

Popular scientific lectureCelledoni, Elena. (2008) Energibevarende integrasjonsmetoder og Brekker. Anders Fosen, Hilde Kristine Hvidevold, Åsmund Kjørstad KoMiN (Konferanse matematikkstudenter i Norge) , Bergen 20081107  20081109
2007

Academic lectureCelledoni, Elena. (2007) Energypreserving Bseries methods: high order AVF methods. Felipe Cucker Foundation of Computational Mathematics , Hong Kong 20070616  20070626

Academic lectureZanna, Antonella ; Celledoni, Elena; Fasso, Francesco; Niklas, Säfstøm. (2007) Exact and approximate methods for the free rigid body. A. Iserles HOPw05  Effective Computational Methods for Highly Oscillatory Problems: The Interplay between Mathematical Theory and Applications , Isaac Newton Institute for Mathematical Sciences, Cambridge 20070704  20070704

Academic lectureZanna, Antonella ; Celledoni, Elena. (2007) On the exact integration of Rigid Body equations. Leimkhuler, Ben and McLachlan, Robert Applying Geometric Integrators , ICMS, 14 India Street, Edinburgh 20070424  20070427

Academic lectureCelledoni, Elena. (2007) Simulating rigid body dynamics using elliptic functions and integrals. Arieh Iserles Newton Institute seminars , Cabridge 20070530 

Academic lectureCelledoni, Elena. (2007) Descent methods for optimization on homogeneous manifolds. Manfred Gilli ERCIM working group in Matrix computations , Geneve 20070420  20070422

Academic lectureCelledoni, Elena. (2007) Eulerian and SemiLagrangian exponential integrators for convection dominated problems. T. Hou, A. Iserles, B. Leimkhuler, C. Lubich Newton Institute: Effective computational methods for highly oscillatory problems , Cambridge 20070702 

Academic lectureCelledoni, Elena. (2007) Simulating rigid body dynamics using Jacobi elliptic functions and integrals. Ben Leimkhuler og Robert McLachlan Applying Geometric Integrators, ICMS Workshop , Edinburgh 20070423  20070427

Academic lectureCelledoni, Elena. (2007) Eulerian and semiLagrangian exponential integrators. INRIA Rennes Frankrike SciCADE 2007 , Saint Malo 20070709  20070713
2005

Academic lectureCelledoni, Elena. (2005) Descent methods for optimization on Manifolds applied to Independent Component Analysis. J.P. Dedieu, J.C: Yakoubson Numerics on Manifolds , Luminy 20050523  20050527

Academic lectureCelledoni, Elena. (2005) SemiLagrangian spectral element methods. Pavel Winternitz Group theory and numerical analysis , Motreal 20050526  20050530

Academic lectureCelledoni, Elena. (2005) SemiLagrangian spectral element methods. A. Iserles Workshop on Geometric Integration , Cambridge, UK 20050423 

Academic lectureCelledoni, Elena. (2005) Eulerian and semiLagrangian exponential integrators for convection dominated problems. Luis Pardo Foundations of Computational Mathematics 2005 Workshop on Geometric Integration , Santander 20050630  20050709
2004

Academic lectureCelledoni, Elena. (2004) Lie group techniques in neural learning. U. Helmke, D. Higham, A. Iserles, L. Lopez, S. Malham Lie group methods and control theory , Edinburg 20040628  20040701

Academic lectureCelledoni, Elena. (2004) Parallelism in time for a time dependent Stokes problem. B. Orel NA day , Ljubljana 20040606 
2003

Academic lectureCelledoni, Elena. (2003) Application of Lie group methods to optimization problems. P. Olver Foundations of computational mathematics: Workshop on Geometric Integration , Minneapolis 20030811 

Academic lectureCelledoni, Elena. (2003) SemiLagrangian spectral element method. B. Orel Numerical Analysis and Geometric Integration , Ljubljana 20030228 

Academic lectureCelledoni, Elena. (2003) Commutatorfree Lie group methods. Brynjulf Owren SCICADE 2003: Workshop on Lie group methods , Trondheim 20030630 
2001

Academic lectureCelledoni, Elena. (2001) Local coordinates for numerical integrators on manifolds. Jialing Hong International Workshop on StructurePreserving Algorithms , Beijing 20010331 
2000

Academic lectureCelledoni, Elena. (2000) Numerical integration of ODEs on the Stiefel manifold. Reinout Quispel Research Symposium on Geometric Integration , La Trobe University, Melbourne 20001216 