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.
Co-organiser 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

2024

Sherry, Ferdia; Celledoni, Elena; Ehrhardt, Matthias J.; Murari, Davide; Owren, Brynjulf Rustad; Schönlieb, Carola-Bibiane. (2024) Designing stable neural networks using convex analysis and ODEs. Physica D : Non-linear phenomena
Academic article
Celledoni, Elena; Munthe-Kaas, Hans Zanna; Owren, Brynjulf Rustad; Munthe-Kaas, Antonella Zanna. (2024) PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART II. Journal of Computational Dynamics
Academic article
Celledoni, Elena; Munthe-Kaas, Hans Zanna; Owren, Brynjulf Rustad; Munthe-Kaas, Antonella Zanna. (2024) PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART I. Journal of Computational Dynamics
Academic article
Arnold, Martin; Celledoni, Elena; Cokaj, Ergys; Owren, Brynjulf Rustad; Tumiotto, Denise. (2024) B-STABILITY OF NUMERICAL INTEGRATORS ON RIEMANNIAN MANIFOLDS. Journal of Computational Dynamics
Academic article
Celledoni, Elena; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Antonella Zanna. (2024) SPECIAL ISSUE ON THEORETICAL AND COMPUTATIONAL ASPECTS OF DYNAMICAL SYSTEMS. PART I. Journal of Computational Dynamics
Academic article

2023

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
Arnold, Martin; Hantke, Maren; Kruse, Raphael; Podhaisky, Helmut; Celledoni, Elena; Frank, Jason. (2023) Numerical solution of differential and differential-algebraic equations. Selected papers from NUMDIFF-16. Journal of Computational and Applied Mathematics
Editorial
Celledoni, Elena; Murari, Davide; Owren, Brynjulf Rustad; Schonlieb, Carola-Bibiane; Sherry, Ferdia. (2023) DYNAMICAL SYSTEMS - BASED NEURAL NETWORKS. SIAM Journal on Scientific Computing
Academic article
Bogfjellmo, Geir; Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf Rustad; Quispel, Gilles Reinout Willem. (2023) Using aromas to search for preserved measures and integrals in Kahan’s method. Mathematics of Computation
Academic article

2022

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
Murari, Davide; Celledoni, Elena; Owren, Brynjulf Rustad; Sherry, Ferdia; Schönlieb, Carola-Bibiane. (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
Celledoni, Elena; Cokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf Rustad. (2022) Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators. Mathematics in Industry
Academic article

2021

Celledoni, Elena; Jackaman, James. (2021) Discrete conservation laws for finite element discretisations of multisymplectic PDEs. Journal of Computational Physics
Academic article
Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Equivariant neural networks for inverse problems. Inverse Problems
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; McLachlan, Robert I.; Owren, Brynjulf; Schönlieb, Carola-Bibiane. (2021) Structure preserving deep learning. European journal of applied mathematics
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
Arnold, Martin; Podhaisky, Helmut; Weiner, Rüdiger; Celledoni, Elena; Frank, Jason; Lang, Jens. (2021) Numerical Solution of Differential and Differential–Algebraic Equations. Selected Papers from NUMDIFF-15. Journal of Computational and Applied Mathematics
Editorial

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
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
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
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; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation
Academic article
Celledoni, Elena; Farre Puiggali, Marta; Høiseth, Eirik Hoel; Martin de Diego, David. (2019) Energy-Preserving Integrators Applied to Nonholonomic Systems. Journal of nonlinear science
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
Li, Lu; Celledoni, Elena. (2019) Krylov projection methods for linear Hamiltonian systems. Numerical Algorithms
Academic article
Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane. (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, 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; 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; McLachlan, I. Robert. (2019) Preface. Special issue in honour of Reinout Quispel. Journal of Computational Dynamics
Editorial
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; Gustad, Halvor Snersrud; Kopylov, Nikita; Sundklakk, Henrik Sperre. (2019) Predicting bending moments with machine learning. Lecture Notes in Computer Science (LNCS)
Academic article
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

2018

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; Ebrahimi-Fard, Kurusch; Munthe-Kaas, 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
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) Passivity-preserving splitting methods for rigid body systems. Multibody system dynamics
Academic article

2017

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)
Non-fiction book
Celledoni, Elena; Høiseth, Eirik Hoel. (2017) Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems. arXiv.org
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; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on lie groups and homogeneous spaces. Lecture Notes in Computer Science (LNCS)
Academic article

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; Høiseth, Eirik Hoel. (2016) The averaged Lagrangian method. Journal of Computational and Applied Mathematics
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; 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) Energy-Preserving Integrators Applied to Nonholonomic Systems. arXiv.org (1605.02845)
Report
Celledoni, Elena; Kometa, Bawfeh Kingsley; Verdier, Olivier. (2016) High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations. Journal of Scientific Computing
Academic article

2015

Høiseth, Eirik Hoel; Celledoni, Elena; Gustafsson, Einar; Ramzina, Nataliya. (2015) Splitting methods for controlled vessel offshore operations. AIP Conference Proceedings
Academic article
Celledoni, Elena; Kozlov, Roman; Matsuo, Takayasu. (2015) Preface of the “Symposium on structure-preserving 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
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

2010

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; Säfström, Niklas. (2010) Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering
Academic article
Celledoni, Elena; Säfström, Niklas. (2010) A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering
Academic article
Celledoni, Elena; Zanna, Antonella . (2010) Algorithm 903: FRB-Fortran 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 B-series and their geometric structure. Journal on Numerical Analysis Industrial and Applied Mathematics
Academic article
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) Energy-Preserving Integrators and the Structure of B-series. Foundations of Computational Mathematics
Academic article

2009

Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Structure of B-series 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; Kometa, Bawfeh Kingsley. (2009) Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems. Journal of Scientific Computing
Academic article
Celledoni, Elena; Kvamsdal, Trond. (2009) Parallelization in time for thermo-viscoplastic 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) Energy-preserving Runge-Kutta methods. Modélisation mathématique et analyse numérique
Academic article
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Energy-preserving integrators and the structure of B-series. IMF, NTNU
Report
Celledoni, Elena; Säfström, Niklas. (2009) Hamiltonian and multi-symplectic formulation of a rod model using quaternions. IMF, NTNU
Report
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2009) Order conditions for the semi-Lagrangian exponential integrators. 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

2008

Celledoni, Elena. (2008) ParaReal: FORTRAN/MPI parallel in time prototype code for the heat equation in 1 space dimension.
Software
Celledoni, Elena; Zanna, Antonella. (2008) FRB-FORTRAN routines for the exact computation of free rigid body motions. NTNU Institutt for matematiske fag
Report
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2008) Semi-Lagrangian exponential integrators for convection dominated problems. NTNU Institutt for matematiske fag
Report
Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving Runge-Kutta methods. NTNU Institutt for matematiske fag
Report
Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series.
Academic chapter/article/Conference paper
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; 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

2007

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; Fiori, Simone. (2007) Descent methods for optimization on homogenous manifolds. Institutt for Matematiske fag, NTNU
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; Kvamsdal, Trond. (2007) Parallelism in time for thermo-viscoplastic problems in extrusion of aluminium. NTNU Institutt for matematiske fag
Report

2006

Celledoni, Elena. (2006) Semi-Lagrangian 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; 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; Sævstrøm, Niklas. (2006) A symmetric splitting method for rigid body dynamics. MIC Journal: Modeling, Identification and Control
Academic article
Celledoni, Elena; Sævstrøm, Niklas. (2006) Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions. Journal of Physics A: Mathematical and General
Academic article

2005

Celledoni, Elena. (2005) Eulerian and Semi-Lagrangian schemes based on commutator free exponential integrators. CRM Proceedings and Lecture notes AMS
Academic article
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; Sævstrøm, Niklas. (2005) A symmetric splitting method for rigid body dynamics. Tapir Akademisk Forlag
Academic chapter/article/Conference paper

2004

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; Kvamsdal, Trond. (2004) Parallel time solver for the transient Stokes problem. NSCM-17Proceedings of the 17th Nordic seminar on computational mechanics, October 15-16, 2004
Academic anthology/Conference proceedings

2003

Celledoni, Elena; Owren, Brynjulf. (2003) On the Implementation of Lie Group Methods on the Stiefel Manifold. Numerical Algorithms
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; Marthinsen, Arne; Owren, Brynjulf. (2003) Commutator-free Lie group methods. Future Generation Computer Systems
Academic article

2002

Celledoni, Elena; Owren, Brynjulf. (2002) A class of intrinsic schemes for orthogonal integration. SIAM Journal on Numerical Analysis
Academic article
Celledoni, Elena; Iserles, Arieh; Nørsett, Syvert P.; Orel, Bojan. (2002) Complexity Theory for Lie-Group Solvers. Journal of Complexity
Academic article

2001

Celledoni, Elena; Iserles, Arieh. (2001) Methods for the approximation of the matrix exponential in a Lie-algebraic setting. IMA Journal of 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; 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

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; Moret, Igor. (1997) A Krylov projection method for systems of ODEs. Applied Numerical Mathematics
Academic article
Celledoni, Elena. (1997) Metodi di Krylov per sistemi lineari di equazioni differenziali ordinarie. Dipartimento di matematica pura ed applicata, Univ. Padova
Doctoral dissertation

Journal publications

Sherry, Ferdia; Celledoni, Elena; Ehrhardt, Matthias J.; Murari, Davide; Owren, Brynjulf Rustad; Schönlieb, Carola-Bibiane. (2024) Designing stable neural networks using convex analysis and ODEs. Physica D : Non-linear phenomena
Academic article
Celledoni, Elena; Munthe-Kaas, Hans Zanna; Owren, Brynjulf Rustad; Munthe-Kaas, Antonella Zanna. (2024) PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART II. Journal of Computational Dynamics
Academic article
Celledoni, Elena; Munthe-Kaas, Hans Zanna; Owren, Brynjulf Rustad; Munthe-Kaas, Antonella Zanna. (2024) PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART I. Journal of Computational Dynamics
Academic article
Arnold, Martin; Celledoni, Elena; Cokaj, Ergys; Owren, Brynjulf Rustad; Tumiotto, Denise. (2024) B-STABILITY OF NUMERICAL INTEGRATORS ON RIEMANNIAN MANIFOLDS. Journal of Computational Dynamics
Academic article
Celledoni, Elena; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Antonella Zanna. (2024) SPECIAL ISSUE ON THEORETICAL AND COMPUTATIONAL ASPECTS OF DYNAMICAL SYSTEMS. PART I. Journal of Computational Dynamics
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
Arnold, Martin; Hantke, Maren; Kruse, Raphael; Podhaisky, Helmut; Celledoni, Elena; Frank, Jason. (2023) Numerical solution of differential and differential-algebraic equations. Selected papers from NUMDIFF-16. Journal of Computational and Applied Mathematics
Editorial
Celledoni, Elena; Murari, Davide; Owren, Brynjulf Rustad; Schonlieb, Carola-Bibiane; Sherry, Ferdia. (2023) DYNAMICAL SYSTEMS - BASED NEURAL NETWORKS. SIAM Journal on Scientific Computing
Academic article
Bogfjellmo, Geir; Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf Rustad; Quispel, Gilles Reinout Willem. (2023) Using aromas to search for preserved measures and integrals in Kahan’s method. Mathematics of Computation
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; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics
Academic article
Celledoni, Elena; Cokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf Rustad. (2022) Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators. Mathematics in Industry
Academic article
Celledoni, Elena; Jackaman, James. (2021) Discrete conservation laws for finite element discretisations of multisymplectic PDEs. Journal of Computational Physics
Academic article
Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Equivariant neural networks for inverse problems. Inverse Problems
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; McLachlan, Robert I.; Owren, Brynjulf; Schönlieb, Carola-Bibiane. (2021) Structure preserving deep learning. European journal of applied mathematics
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
Arnold, Martin; Podhaisky, Helmut; Weiner, Rüdiger; Celledoni, Elena; Frank, Jason; Lang, Jens. (2021) Numerical Solution of Differential and Differential–Algebraic Equations. Selected Papers from NUMDIFF-15. Journal of Computational and Applied Mathematics
Editorial
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
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
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
Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation
Academic article
Celledoni, Elena; Farre Puiggali, Marta; Høiseth, Eirik Hoel; Martin de Diego, David. (2019) Energy-Preserving Integrators Applied to Nonholonomic Systems. Journal of nonlinear science
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
Li, Lu; Celledoni, Elena. (2019) Krylov projection methods for linear Hamiltonian systems. Numerical Algorithms
Academic article
Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane. (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, 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; 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; McLachlan, I. Robert. (2019) Preface. Special issue in honour of Reinout Quispel. Journal of Computational Dynamics
Editorial
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; 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
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; Schmeding, Alexander. (2018) Shape analysis on homogeneous spaces: a generalised SRVT framework. Abel Symposia
Academic article
Celledoni, Elena; Høiseth, Eirik Hoel; Ramzina, Nataliya. (2018) Passivity-preserving splitting methods for rigid body systems. Multibody system dynamics
Academic article
Celledoni, Elena; Høiseth, Eirik Hoel. (2017) Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems. arXiv.org
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; 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; Høiseth, Eirik Hoel. (2016) The averaged Lagrangian method. Journal of Computational and Applied Mathematics
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; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with application in computer animation. Journal of Geometric Mechanics (JGM)
Academic article
Celledoni, Elena; Kometa, Bawfeh Kingsley; Verdier, Olivier. (2016) High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations. Journal of Scientific Computing
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; Kozlov, Roman; Matsuo, Takayasu. (2015) Preface of the “Symposium on structure-preserving 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
Celledoni, Elena; Sanz-Serna, Jesus Maria; Zanna, Antonella. (2014) Guest editors' preface. Discrete and Continuous Dynamical Systems. Series A
Editorial
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; 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.; 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 Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method. Mathematics of Computation
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; 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; Matsuo, Takayasu. (2012) Preface of the "Symposium on structure-preserving numerical methods for differential equations". AIP Conference Proceedings
Academic article
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2011) Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems. Journal of Computational Physics
Academic article
Celledoni, Elena; Säfström, Niklas. (2010) Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering
Academic article
Celledoni, Elena; Säfström, Niklas. (2010) A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering
Academic article
Celledoni, Elena; Zanna, Antonella . (2010) Algorithm 903: FRB-Fortran 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 B-series and their geometric structure. Journal on Numerical Analysis Industrial and Applied Mathematics
Academic article
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) Energy-Preserving Integrators and the Structure of B-series. Foundations of Computational Mathematics
Academic article
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Structure of B-series 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; Kometa, Bawfeh Kingsley. (2009) Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems. Journal of Scientific Computing
Academic article
Celledoni, Elena; Kvamsdal, Trond. (2009) Parallelization in time for thermo-viscoplastic 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) Energy-preserving Runge-Kutta methods. Modélisation mathématique et analyse numérique
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; 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; 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) Semi-Lagrangian 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) A symmetric splitting method for rigid body dynamics. MIC Journal: Modeling, Identification and Control
Academic article
Celledoni, Elena; Sævstrøm, Niklas. (2006) Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions. Journal of Physics A: Mathematical and General
Academic article
Celledoni, Elena. (2005) Eulerian and Semi-Lagrangian 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; 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; Marthinsen, Arne; Owren, Brynjulf. (2003) Commutator-free Lie group methods. Future Generation Computer Systems
Academic article
Celledoni, Elena; Owren, Brynjulf. (2002) A class of intrinsic schemes for orthogonal integration. SIAM Journal on Numerical Analysis
Academic article
Celledoni, Elena; Iserles, Arieh; Nørsett, Syvert P.; Orel, Bojan. (2002) Complexity Theory for Lie-Group Solvers. Journal of Complexity
Academic article
Celledoni, Elena; Iserles, Arieh. (2001) Methods for the approximation of the matrix exponential in a Lie-algebraic setting. IMA Journal of 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. (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; Ebrahimi-Fard, Kurusch; Munthe-Kaas, 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)
Non-fiction 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. NSCM-17Proceedings of the 17th Nordic seminar on computational mechanics, October 15-16, 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) Energy-preserving methods and B-series.
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, Carola-Bibiane. (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) Energy-Preserving 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
Ringheim, Inger Marie; Celledoni, Elena. (2013) Numerical Solution of Equilibrium Equations of Spatial Elastica, Master thesis. NTNU
Masters thesis
Kvernelv, Vegard Berg; Celledoni, Elena. (2013) Optimization on Matrix Manifolds with Applications to Blind Source Separation, 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; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Energy-preserving integrators and the structure of B-series. IMF, NTNU
Report
Celledoni, Elena; Säfström, Niklas. (2009) Hamiltonian and multi-symplectic formulation of a rod model using quaternions. IMF, NTNU
Report
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2009) Order conditions for the semi-Lagrangian exponential integrators. 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; Zanna, Antonella. (2008) FRB-FORTRAN routines for the exact computation of free rigid body motions. NTNU Institutt for matematiske fag
Report
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2008) Semi-Lagrangian exponential integrators for convection dominated problems. NTNU Institutt for matematiske fag
Report
Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving Runge-Kutta methods. 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; 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; Kvamsdal, Trond. (2007) Parallelism in time for thermo-viscoplastic problems in extrusion of aluminium. NTNU Institutt for matematiske fag
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

Knowledge Transfer

2022

Poster

Noren, 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 2022-12-09 - 2022-12-09

2019

Academic lecture

Ohm, 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 2019-06-03 - 2019-06-04

2018

Academic lecture

Celledoni, Elena. (2018) Deep learning as optimal control problems. Martin-Luther University Halle Numdiff- Halle , Halle (Saale) 2018-09-03 - 2018-09-07
Academic lecture

Celledoni, Elena; Høiseth, Eirik Hoel. (2018) Structure preserving discretization of port-Hamiltonian systems. University of Auckland ANODE 2018 , Auckland 2018-02-19 - 2018-02-23
Academic lecture

Celledoni, Elena. (2018) Deep learning as optimal control problems. University of Gdansk, Karolina Kropielnicka Modern Numerical Methods for Quantum Mechanics II , Gdansk 2018-06-27 - 2018-06-29
Academic lecture

Tapley, 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 2018-02-19 - 2018-02-23

2017

Academic lecture

Celledoni, Elena. (2017) Shape analysis on Lie groups and homogeneous spaces. EU-Maths-In Future and Emerging Mathematical Technologies , Lorentz Institute, Leiden 2017-12-11 - 2017-12-15
Lecture

Celledoni, Elena. (2017) Shape analsis on homogeneous manifolds. Banff international research station Connections in Geometric Numerical Integration and Structure-Preserving Discretization , Banff 2017-06-11 - 2017-06-16
Academic lecture

Celledoni, Elena. (2017) Shape analysis on Lie groups and homogeneous manifolds. University of Bath SciCADE 2017 , Bath 2017-09-11 - 2017-09-16
Academic lecture

Celledoni, Elena. (2017) Shape analysis on Lie groups and homogeneous manifolds. University of La Laguna V Iberoamerican Meeting on Geometry, Mechanics and Control. 2017-01-16 - 2017-01-20
Academic lecture

Owren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Structure preserving model reduction on Lie groups. NTNU ChiPS kickoff meeting , Trondheim 2017-06-27 - 2017-06-30
Academic lecture

Owren, 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 2017-08-31 - 2017-09-01
Academic lecture

Owren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Model reduction in Lie group integration. University of Bath SciCADE 2017 , Bath 2017-09-11 - 2017-09-15
Poster

Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Ohm, Laurel; Owren, Brynjulf; Zhao, Lihao. (2017) Splitting method integration of non-spherical particles in shear flow. FoCM 2017 , Barcelona 2017-07-10 - 2017-07-19
Academic lecture

Schmeding, 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 2017-05-11 - 2017-05-12

2016

Academic lecture

Celledoni, Elena. (2016) Energy-preserving methods applied to nonholnomic systems. Max-Plank Institute of Plasma Physics 2nd Geometric Algorithms and Methods for Plasma Physics Workshop (GAMPP) , Munchen 2016-09-12 - 2016-09-16
Academic lecture

Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Lie groups shape analysis and computer animation. NTNU and UiB MaGIC , Ilsetra 2016-02-18 - 2016-02-21
Academic lecture

Celledoni, 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 2016-05-05 - 2016-05-06
Poster

Schmeding, Alexander; Celledoni, Elena; Eslitzbichler, Markus. (2016) Shape Analysis on Lie Groups (and beyond) with Applications. NTNU Trondheim Math meets Industry , Scandic Lerkendal Hotel, Trondheim 2016-09-22 - 2016-09-23
Academic lecture

Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with applications in computer animation. MFO Oberwolfach Workshop , Oberwolfach 2016-03-20 - 2016-03-26
Academic lecture

Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with applications in computer animation. Universita' di Trieste SDIDE , Trieste 2016-06-21 - 2016-06-24

2015

Academic lecture

Celledoni, Elena. (2015) Structure preserving model reduction. MaGIC , Myrkdalen 2015-02-26 - 2015-03-01
Academic lecture

Celledoni, 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 2015-07-11 - 2015-07-12
Academic lecture

Celledoni, 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 2015-09-07 - 2015-09-11
Academic lecture

Owren, Brynjulf; Celledoni, Elena. (2015) Structure-preserving discretization of differential equations. AARMS/PIMS AARMS-PIMS Summer School in Differential Equations and Numerical Analysis , Halifax 2015-07-06 - 2015-07-31
Academic lecture

Celledoni, Elena. (2015) Geometric Numerical Methods for Differential Equations in Applications of Computer Animation and Port-Hamiltonian Systems. ICMAT, Madrid Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series 2015-05-25 - 2015-05-28
Academic lecture

Celledoni, Elena. (2015) Shape Analysis on Lie Groups. Düring, Bertram, Schönlieb, Carola-Bibiane, Wolfram, Marie-T Gradient flows: from theory to application , ICMS, 15 South College Street, Edinburgh 2015-04-20 - 2015-04-24
Academic lecture

Celledoni, Elena. (2015) Structure preserving integration of port-Hamiltonian systems. SciCADE 2015-09-14 - 2015-09-18

2014

Lecture

Celledoni, Elena. (2014) Structure preservation of port-Hamiltonian systems. Chineese Academy of Sciences , Beijing 2014-05-17 - 2014-05-17
Academic lecture

Celledoni, Elena. (2014) Scrtucture presevation of port-Hamiltonian systems. University of Kyoto KCNADE 2014 , Kyoto 2014-09-16 - 2014-09-20
Academic lecture

Celledoni, Elena. (2014) Port Hamiltonian systems. MaGIC 2014 , Meråker 2014-02-24 - 2014-02-27
Academic lecture

Celledoni, Elena. (2014) Structure preservation of port-Hamiltonian systems. AIMS , Madrid 2014-07-07 - 2014-07-11
Academic lecture

Celledoni, 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. 2014-05-13 - 2014-05-15

2013

Academic lecture

Celledoni, Elena. (2013) Geometric properties of the Kahan method. Allan Fordy Integrable Algorithms: New Frontiers in Numerical Analysis , Leeds 2013-03-15 - 2013-03-17
Academic lecture

Owren, Brynjulf; Celledoni, Elena. (2013) Kahan's method and its geometric properties. Equadiff 2013 2013-08-20 - 2013-08-30
Academic lecture

Ramzina, Nataliya; Celledoni, Elena. (2013) Time-efficient integrator for solving the marine vessel equations of motion by splitting schemes. Simula Senter Nordic seminar in Computational Mechanics , Oslo 2013-10-24 - 2013-10-25
Academic lecture

Celledoni, Elena; Owren, Brynjulf. (2013) Lie group methods for numerical simulation of mechanical systems. Nordic seminar in Computational Mechanics 2013-10-23 - 2013-10-25
Academic lecture

Celledoni, Elena; Owren, Brynjulf. (2013) Integral preserving Lie group integrators. ICMAT K Ebrahimi-Fard TNADE , Madrid 2013-07-08 - 2013-07-12
Academic lecture

Celledoni, Elena. (2013) Preserving first integrals with Lie group integrators. Universitad det Valladolid SciCADE 2013 , Valladolid 2013-09-16 - 2013-09-20
Academic lecture

Celledoni, Elena; Owren, Brynjulf. (2013) Lie group integrators and preservation of first integrals. NTNU and UiB MAGiC , Geilo 2013-02-26 - 2013-03-01
Academic lecture

Owren, 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 2013-02-25 - 2013-03-01
Academic lecture

Celledoni, Elena. (2013) Passivity preserving methods. Peter Van der Kamp Geometric Integration and Discrete Integrability , La Trobe University, Melbourne, Australia, December 2013. 2013-12-17 - 2013-12-18
Academic lecture

Celledoni, Elena. (2013) Lie group methods. Simula research laboratory Nordic seminar in computational mechanics , Oslo 2013-10-23 - 2013-10-25
Academic lecture

Celledoni, Elena. (2013) Energy preservation for rigid body attitude dynanics with PID controls. Geometric Integration and Dynamical Systems , La Trobe University, Melbourne 2013-12-17 -
Academic lecture

Celledoni, Elena. (2013) Integral preserving Lie group integrators. NTNU JE Forness Norwegian-Chineese mathematics workshop , Trondheim 2013-06-17 - 2013-06-30

2012

Academic lecture

Celledoni, Elena; Owren, Brynjulf. (2012) The Kahan's method and its geometric properties. Ahmed SALAM et al. Structured Matrix Computations in non-Euclidean Geometries: Algorithms and Applications , CIRM, Lumini 2012-10-08 - 2012-10-12
Academic lecture

Owren, Brynjulf; Celledoni, Elena. (2012) Lie group integrators and the preservation of first integrals. Ahmed SALAM et al. Structured Matrix Computations in non-Euclidean Geometries: Algorithms and Applications , CIRM, Lumini 2012-10-08 - 2012-10-12

2010

Academic lecture

Celledoni, Elena. (2010) The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the AVF method. R. Quispel TRAGIC , Australia (Tasmania) 2010-12-12 - 2010-12-17
Academic lecture

Celledoni, Elena. (2010) On B-series and their structure-preserving properties. CISC Combinatorics and Control , Madrid 2010-04-06 - 2010-04-09
Academic lecture

Celledoni, Elena. (2010) Energy-preserving integrators. Greg Reid New geometric and numeric tools for the analysis of differential equations , Banff 2010-08-13 - 2010-08-15
Academic lecture

Celledoni, Elena. (2010) Energy-preserving integrators. Kurusch Ebraimi Fard Combinatorics and Control conference , La Cristalera. Miraflores de la Sierra 2010-06-21 - 2010-06-25

2009

Academic lecture

Celledoni, 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 2009-09-18 - 2009-09-22
Academic lecture

Owren, Brynjulf; Celledoni, Elena; McLachlan, I. Robert; Quispel, Reinout. (2009) Structure of B-series for some classes of geometric integrators. T. E. Simos 7th International Conference of Numerical Analysis and Applied Mathematics , Rethymno, Crete 2009-09-18 - 2009-09-22
Academic lecture

Celledoni, Elena. (2009) On B-series and their structure preserving properties. UiB og NTNU MaGIC , Hørnsjoen 2009-03-03 - 2009-03-06
Academic lecture

Celledoni, Elena. (2009) B-series and their energy-preserving properties. M. Gander, C. Lubich, G. Wanner Hairer 60 , Geneve 2009-06-17 - 2009-06-21
Academic lecture

Celledoni, Elena. (2009) B-series and their energy-preserving properties. Jialing Hong SCICADE Beijing 2009 , Beijing 2009-05-25 - 2009-05-29

2008

Academic lecture

Celledoni, Elena. (2008) Energy-preserving B-series methods: an overview. Professor Bau Workshop at Tsinghua University, Beijing , Tsinghua University, Beijing 2008-06-18 - 2008-06-18
Academic lecture

Celledoni, Elena. (2008) Geometrically exact models of rods: Hamiltonian and multisymplectic structures. E. Hairer Seminar at the Department of Mathematics in Geneva , Geneva 2008-04-16 -
Academic lecture

Celledoni, Elena. (2008) Energy preserving Runge-Kutta and B-series methods. Giancarlo Benettin Seminar at the Department of Mathematics in Padova , Padova 2008-05-06 - 2008-05-06
Academic lecture

Celledoni, Elena. (2008) Hamiltonian structure of a geometrically exact rod model. Jialing Hong Workshop at the Chinese Academy of Sciences , Beijing 2008-06-12 - 2008-06-12
Academic lecture

Celledoni, 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 2008-01-30 -
Academic lecture

Celledoni, Elena. (2008) Semi-Lagrangian exponential integrators for convection dominated problems. Annalisa Buffa IMATI Seminars , IMATI Pavia 2008-10-23 -
Popular scientific lecture

Celledoni, Elena. (2008) Energibevarende integrasjonsmetoder og B-rekker. Anders Fosen, Hilde Kristine Hvidevold, Åsmund Kjørstad KoMiN (Konferanse matematikkstudenter i Norge) , Bergen 2008-11-07 - 2008-11-09

2007

Academic lecture

Celledoni, Elena. (2007) Simulating rigid body dynamics using elliptic functions and integrals. Arieh Iserles Newton Institute seminars , Cabridge 2007-05-30 -
Academic lecture

Celledoni, Elena. (2007) Simulating rigid body dynamics using Jacobi elliptic functions and integrals. Ben Leimkhuler og Robert McLachlan Applying Geometric Integrators, ICMS Workshop , Edinburgh 2007-04-23 - 2007-04-27
Academic lecture

Celledoni, Elena. (2007) Descent methods for optimization on homogeneous manifolds. Manfred Gilli ERCIM working group in Matrix computations , Geneve 2007-04-20 - 2007-04-22
Academic lecture

Celledoni, Elena. (2007) Eulerian and semi-Lagrangian exponential integrators. INRIA Rennes Frankrike SciCADE 2007 , Saint Malo 2007-07-09 - 2007-07-13
Academic lecture

Celledoni, Elena. (2007) Eulerian and Semi-Lagrangian exponential integrators for convection dominated problems. T. Hou, A. Iserles, B. Leimkhuler, C. Lubich Newton Institute: Effective computational methods for highly oscillatory problems , Cambridge 2007-07-02 -
Academic lecture

Celledoni, Elena. (2007) Energy-preserving B-series methods: high order AVF methods. Felipe Cucker Foundation of Computational Mathematics , Hong Kong 2007-06-16 - 2007-06-26
Academic lecture

Zanna, 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 2007-07-04 - 2007-07-04
Academic lecture

Zanna, 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 2007-04-24 - 2007-04-27

2005

Academic lecture

Celledoni, Elena. (2005) Descent methods for optimization on Manifolds applied to Independent Component Analysis. J.P. Dedieu, J.C: Yakoubson Numerics on Manifolds , Luminy 2005-05-23 - 2005-05-27
Academic lecture

Celledoni, Elena. (2005) Semi-Lagrangian spectral element methods. Pavel Winternitz Group theory and numerical analysis , Motreal 2005-05-26 - 2005-05-30
Academic lecture

Celledoni, Elena. (2005) Semi-Lagrangian spectral element methods. A. Iserles Workshop on Geometric Integration , Cambridge, UK 2005-04-23 -
Academic lecture

Celledoni, Elena. (2005) Eulerian and semi-Lagrangian exponential integrators for convection dominated problems. Luis Pardo Foundations of Computational Mathematics 2005 Workshop on Geometric Integration , Santander 2005-06-30 - 2005-07-09

2004

Academic lecture

Celledoni, 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 2004-06-28 - 2004-07-01
Academic lecture

Celledoni, Elena. (2004) Parallelism in time for a time dependent Stokes problem. B. Orel NA day , Ljubljana 2004-06-06 -

2003

Academic lecture

Celledoni, Elena. (2003) Application of Lie group methods to optimization problems. P. Olver Foundations of computational mathematics: Workshop on Geometric Integration , Minneapolis 2003-08-11 -
Academic lecture

Celledoni, Elena. (2003) Semi-Lagrangian spectral element method. B. Orel Numerical Analysis and Geometric Integration , Ljubljana 2003-02-28 -
Academic lecture

Celledoni, Elena. (2003) Commutator-free Lie group methods. Brynjulf Owren SCICADE 2003: Workshop on Lie group methods , Trondheim 2003-06-30 -

2001

Academic lecture

Celledoni, Elena. (2001) Local coordinates for numerical integrators on manifolds. Jialing Hong International Workshop on Structure-Preserving Algorithms , Beijing 2001-03-31 -

2000

Academic lecture

Celledoni, Elena. (2000) Numerical integration of ODEs on the Stiefel manifold. Reinout Quispel Research Symposium on Geometric Integration , La Trobe University, Melbourne 2000-12-16 -

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Elena Celledoni

Elena Celledoni

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