Elena Celledoni

Om

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 and currently the leadre 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.

Recent video on shape analysis

https://www.birs.ca/events/2017/5-day-workshops/17w5152/videos/watch/201706160903-Celledoni.html

Publikasjoner

2023

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

2022

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
Rapport
Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics
Vitenskapelig artikkel
Tapley, Benjamin Kwanen; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2022) Computational geometric methods for preferential clustering of particle suspensions. Journal of Computational Physics
Vitenskapelig artikkel
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel

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
Vitenskapelig artikkel
Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Equivariant neural networks for inverse problems. Inverse Problems
Vitenskapelig artikkel
Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2021) Lie Group integrators for mechanical systems. International Journal of Computer Mathematics
Vitenskapelig artikkel
Celledoni, Elena; Jackaman, James. (2021) Discrete conservation laws for finite element discretisations of multisymplectic PDEs. Journal of Computational Physics
Vitenskapelig artikkel
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
Leder
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
Vitenskapelig artikkel

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
Vitenskapelig artikkel
Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf. (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org
Vitenskapelig artikkel
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Lystad, Pål Erik; Tapia, Nikolas. (2019) Signatures in Shape analysis: An efficient approach to motion identification. Lecture Notes in Computer Science (LNCS)
Vitenskapelig artikkel
Celledoni, Elena; McLachlan, I. Robert. (2019) Preface. Special issue in honour of Reinout Quispel. Journal of Computational Dynamics
Leder
Celledoni, Elena; Gustad, Halvor Snersrud; Kopylov, Nikita; Sundklakk, Henrik Sperre. (2019) Predicting bending moments with machine learning. Lecture Notes in Computer Science (LNCS)
Vitenskapelig artikkel
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)
Vitenskapelig antologi/Konferanseserie
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)
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
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
Vitenskapelig artikkel
Li, Lu; Celledoni, Elena. (2019) Krylov projection methods for linear Hamiltonian systems. Numerical Algorithms
Vitenskapelig artikkel
Celledoni, Elena; Farre Puiggali, Marta; Høiseth, Eirik Hoel; Martin de Diego, David. (2019) Energy-Preserving Integrators Applied to Nonholonomic Systems. Journal of nonlinear science
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation
Vitenskapelig artikkel

2018

Celledoni, Elena; Eidnes, Sølve; Schmeding, Alexander. (2018) Shape analysis on homogeneous spaces: a generalised SRVT framework. Abel Symposia
Vitenskapelig artikkel
Ringholm, Torbjørn; Owren, Brynjulf; Celledoni, Elena. (2018) Discrete gradient methods in image processing and partial differential equations on moving meshes. NTNU
Doktorgradsavhandling
Celledoni, Elena; Høiseth, Eirik Hoel; Ramzina, Nataliya. (2018) Passivity-preserving splitting methods for rigid body systems. Multibody system dynamics
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Di Nunno, Giulia; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans. (2018) Computation and Combinatorics in Dynamics, Stochastics and Control. Springer Abel Symposia (1)
Vitenskapelig antologi/Konferanseserie
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
Vitenskapelig artikkel

2017

Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on Lie groups and homogeneous manifolds. Proceedings of the GSI conference 2017
Sammendrag/abstract
Celledoni, Elena; Høiseth, Eirik Hoel. (2017) Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems. arXiv.org
Vitenskapelig artikkel
Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on lie groups and homogeneous spaces. Lecture Notes in Computer Science (LNCS)
Vitenskapelig artikkel
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)
Fagbok

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
Vitenskapelig artikkel
Celledoni, Elena; Kometa, Bawfeh Kingsley; Verdier, Olivier. (2016) High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations. Journal of Scientific Computing
Vitenskapelig artikkel
Celledoni, Elena; Høiseth, Eirik Hoel. (2016) The averaged Lagrangian method. Journal of Computational and Applied Mathematics
Vitenskapelig artikkel
Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with application in computer animation. Journal of Geometric Mechanics (JGM)
Vitenskapelig artikkel
Celledoni, Elena; Farre Puiggali, Marta; Høiseth, Eirik Hoel; Martin de Diego, David. (2016) Energy-Preserving Integrators Applied to Nonholonomic Systems. arXiv.org (1605.02845)
Rapport
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
Vitenskapelig artikkel

2015

Celledoni, Elena; Kozlov, Roman; Matsuo, Takayasu. (2015) Preface of the “Symposium on structure-preserving integrators for differential equations”. AIP Conference Proceedings
Leder
Celledoni, Elena; Markus, Eslitzbichler. (2015) Shape Analysis on Lie Groups with Applications in Computer Animation. arXiv, Cornell University Library
Rapport
Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.. (2015) Discretization of polynomial vector fields by polarization. arXiv.org
Rapport
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
Vitenskapelig artikkel
Høiseth, Eirik Hoel; Celledoni, Elena; Gustafsson, Einar; Ramzina, Nataliya. (2015) Splitting methods for controlled vessel offshore operations. AIP Conference Proceedings
Vitenskapelig artikkel

2010

Celledoni, Elena; Säfström, Niklas. (2010) Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering
Vitenskapelig artikkel
Celledoni, Elena; Zanna, Antonella . (2010) Algorithm 903: FRB-Fortran Routines for the Exact Computation of Free Rigid Body Motions. ACM Transactions on Mathematical Software
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) Energy-Preserving Integrators and the Structure of B-series. Foundations of Computational Mathematics
Vitenskapelig artikkel
Celledoni, Elena; Säfström, Niklas. (2010) A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering
Vitenskapelig artikkel
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
Rapport

2009

Celledoni, Elena; Kometa, Bawfeh Kingsley. (2009) Order conditions for the semi-Lagrangian exponential integrators. IMF, NTNU
Rapport
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Energy-preserving integrators and the structure of B-series. IMF, NTNU
Rapport
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
Rapport
Celledoni, Elena; Säfström, Niklas. (2009) Hamiltonian and multi-symplectic formulation of a rod model using quaternions. IMF, NTNU
Rapport
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Structure of B-series for some classes of Geometric Integrators. AIP Conference Proceedings
Vitenskapelig artikkel
Celledoni, Elena; Säfström, Niklas. (2009) An elastic rod model and its Hamiltonian structure. AIP Conference Proceedings
Vitenskapelig artikkel
Celledoni, Elena; Kvamsdal, Trond. (2009) Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium. International Journal for Numerical Methods in Engineering
Vitenskapelig artikkel
Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Reinout, Quispel; Wright, Will. (2009) Energy-preserving Runge-Kutta methods. Mathematical Modelling and Numerical Analysis
Vitenskapelig artikkel
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2009) Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems. Journal of Scientific Computing
Vitenskapelig artikkel

2008

Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving Runge-Kutta methods. NTNU Institutt for matematiske fag
Rapport
Celledoni, Elena; Zanna, Antonella. (2008) FRB-FORTRAN routines for the exact computation of free rigid body motions. NTNU Institutt for matematiske fag
Rapport
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2008) Semi-Lagrangian exponential integrators for convection dominated problems. NTNU Institutt for matematiske fag
Rapport
Celledoni, Elena. (2008) ParaReal: FORTRAN/MPI parallel in time prototype code for the heat equation in 1 space dimension.
Programvare
Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series.
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
Celledoni, Elena; Fiori, Simone. (2008) Descent methods for optimization on homogeneous manifolds. Mathematics and Computers in Simulation
Vitenskapelig artikkel
Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2008) Symmetric exponential integrators for the nonlinear Schroedinger equation. Foundations of Computational Mathematics
Vitenskapelig artikkel
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
Vitenskapelig artikkel

2007

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

2006

Celledoni, Elena; Evensberget, Dag Frohde. (2006) Numerical Simulation of Nonholonomic Dynamics. NTNU Institutt for matematiske fag
Mastergradsoppgave
Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2006) Symmetric exponential integrators for the cubic Schroedinger equation. Institutt for Matematiske fag, NTNU
Rapport
Celledoni, Elena. (2006) Semi-Lagrangian methods and new integrators for convection dominated problems. Oberwolfach Reports
Vitenskapelig artikkel
Celledoni, Elena. (2006) Exponential integrators for convection dominated problems. Oberwolfach Reports
Vitenskapelig artikkel
Celledoni, Elena; Sævstrøm, Niklas. (2006) Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions. Journal of Physics A: Mathematical and General
Vitenskapelig artikkel
Celledoni, Elena; Sævstrøm, Niklas. (2006) A symmetric splitting method for rigid body dynamics. MIC Journal: Modeling, Identification and Control
Vitenskapelig artikkel

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
Vitenskapelig antologi/Konferanseserie
Celledoni, Elena; Sævstrøm, Niklas. (2005) A symmetric splitting method for rigid body dynamics. Tapir Akademisk Forlag
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
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
Vitenskapelig antologi/Konferanseserie
Celledoni, Elena. (2005) Eulerian and Semi-Lagrangian schemes based on commutator free exponential integrators. CRM Proceedings and Lecture notes AMS
Vitenskapelig artikkel

2004

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
Vitenskapelig antologi/Konferanseserie
Celledoni, Elena; Fiori, Simone. (2004) Neural Learning by Geometric Integration of Reduced 'Rigid Body' Equations. Journal of Computational and Applied Mathematics
Vitenskapelig artikkel

2003

Celledoni, Elena; Owren, Brynjulf. (2003) On the Implementation of Lie Group Methods on the Stiefel Manifold. Numerical Algorithms
Vitenskapelig artikkel
Celledoni, Elena; Marthinsen, Arne; Owren, Brynjulf. (2003) Commutator-free Lie group methods. Future Generation Computer Systems
Vitenskapelig artikkel
Celledoni, Elena; Owren, Brynjulf. (2003) Lie group methods for rigid body dynamics and time integration on manifolds. Computer Methods in Applied Mechanics and Engineering
Vitenskapelig artikkel

2002

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

2001

Celledoni, Elena; Owren, Brynjulf. (2001) A class of low complexity intrinsic schemes for orthogonal integration. Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
Rapport
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
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
Celledoni, Elena. (2001) A note on the numerical integration of the KdV equation via isospectral deformations. Journal of Physics A: Mathematical and General
Vitenskapelig artikkel
Celledoni, Elena; Iserles, Arieh. (2001) Methods for the approximation of the matrix exponential in a Lie-algebraic setting. IMA Journal of Numerical Analysis
Vitenskapelig artikkel

2000

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

1998

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

1997

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

Tidsskriftspublikasjoner

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
Leder
Celledoni, Elena; Glöckner, Helge; Riseth, Jørgen Nilsen; Schmeding, Alexander. (2023) Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics
Vitenskapelig artikkel
Tapley, Benjamin Kwanen; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2022) Computational geometric methods for preferential clustering of particle suspensions. Journal of Computational Physics
Vitenskapelig artikkel
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Equivariant neural networks for inverse problems. Inverse Problems
Vitenskapelig artikkel
Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2021) Lie Group integrators for mechanical systems. International Journal of Computer Mathematics
Vitenskapelig artikkel
Celledoni, Elena; Jackaman, James. (2021) Discrete conservation laws for finite element discretisations of multisymplectic PDEs. Journal of Computational Physics
Vitenskapelig artikkel
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
Leder
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf. (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org
Vitenskapelig artikkel
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Lystad, Pål Erik; Tapia, Nikolas. (2019) Signatures in Shape analysis: An efficient approach to motion identification. Lecture Notes in Computer Science (LNCS)
Vitenskapelig artikkel
Celledoni, Elena; McLachlan, I. Robert. (2019) Preface. Special issue in honour of Reinout Quispel. Journal of Computational Dynamics
Leder
Celledoni, Elena; Gustad, Halvor Snersrud; Kopylov, Nikita; Sundklakk, Henrik Sperre. (2019) Predicting bending moments with machine learning. Lecture Notes in Computer Science (LNCS)
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Li, Lu; Celledoni, Elena. (2019) Krylov projection methods for linear Hamiltonian systems. Numerical Algorithms
Vitenskapelig artikkel
Celledoni, Elena; Farre Puiggali, Marta; Høiseth, Eirik Hoel; Martin de Diego, David. (2019) Energy-Preserving Integrators Applied to Nonholonomic Systems. Journal of nonlinear science
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation
Vitenskapelig artikkel
Celledoni, Elena; Eidnes, Sølve; Schmeding, Alexander. (2018) Shape analysis on homogeneous spaces: a generalised SRVT framework. Abel Symposia
Vitenskapelig artikkel
Celledoni, Elena; Høiseth, Eirik Hoel; Ramzina, Nataliya. (2018) Passivity-preserving splitting methods for rigid body systems. Multibody system dynamics
Vitenskapelig artikkel
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on Lie groups and homogeneous manifolds. Proceedings of the GSI conference 2017
Sammendrag/abstract
Celledoni, Elena; Høiseth, Eirik Hoel. (2017) Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems. arXiv.org
Vitenskapelig artikkel
Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on lie groups and homogeneous spaces. Lecture Notes in Computer Science (LNCS)
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Kometa, Bawfeh Kingsley; Verdier, Olivier. (2016) High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations. Journal of Scientific Computing
Vitenskapelig artikkel
Celledoni, Elena; Høiseth, Eirik Hoel. (2016) The averaged Lagrangian method. Journal of Computational and Applied Mathematics
Vitenskapelig artikkel
Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with application in computer animation. Journal of Geometric Mechanics (JGM)
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Kozlov, Roman; Matsuo, Takayasu. (2015) Preface of the “Symposium on structure-preserving integrators for differential equations”. AIP Conference Proceedings
Leder
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
Vitenskapelig artikkel
Høiseth, Eirik Hoel; Celledoni, Elena; Gustafsson, Einar; Ramzina, Nataliya. (2015) Splitting methods for controlled vessel offshore operations. AIP Conference Proceedings
Vitenskapelig artikkel
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Marthinsen, Håkon; Owren, Brynjulf. (2014) An introduction to Lie group integrators - basics, new developments and applications. Journal of Computational Physics
Vitenskapelig artikkel
Celledoni, Elena; Sanz-Serna, Jesus Maria; Zanna, Antonella. (2014) Guest editors' preface. Discrete and Continuous Dynamical Systems. Series A
Leder
Celledoni, Elena; Owren, Brynjulf. (2014) Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems. Series A
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Matsuo, Takayasu. (2012) Preface of the "Symposium on structure-preserving numerical methods for differential equations". AIP Conference Proceedings
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2011) Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems. Journal of Computational Physics
Vitenskapelig artikkel
Celledoni, Elena; Säfström, Niklas. (2010) Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering
Vitenskapelig artikkel
Celledoni, Elena; Zanna, Antonella . (2010) Algorithm 903: FRB-Fortran Routines for the Exact Computation of Free Rigid Body Motions. ACM Transactions on Mathematical Software
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) Energy-Preserving Integrators and the Structure of B-series. Foundations of Computational Mathematics
Vitenskapelig artikkel
Celledoni, Elena; Säfström, Niklas. (2010) A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering
Vitenskapelig artikkel
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Structure of B-series for some classes of Geometric Integrators. AIP Conference Proceedings
Vitenskapelig artikkel
Celledoni, Elena; Säfström, Niklas. (2009) An elastic rod model and its Hamiltonian structure. AIP Conference Proceedings
Vitenskapelig artikkel
Celledoni, Elena; Kvamsdal, Trond. (2009) Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium. International Journal for Numerical Methods in Engineering
Vitenskapelig artikkel
Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Reinout, Quispel; Wright, Will. (2009) Energy-preserving Runge-Kutta methods. Mathematical Modelling and Numerical Analysis
Vitenskapelig artikkel
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2009) Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems. Journal of Scientific Computing
Vitenskapelig artikkel
Celledoni, Elena; Fiori, Simone. (2008) Descent methods for optimization on homogeneous manifolds. Mathematics and Computers in Simulation
Vitenskapelig artikkel
Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2008) Symmetric exponential integrators for the nonlinear Schroedinger equation. Foundations of Computational Mathematics
Vitenskapelig artikkel
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
Vitenskapelig artikkel
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
Vitenskapelig artikkel
Celledoni, Elena. (2006) Semi-Lagrangian methods and new integrators for convection dominated problems. Oberwolfach Reports
Vitenskapelig artikkel
Celledoni, Elena. (2006) Exponential integrators for convection dominated problems. Oberwolfach Reports
Vitenskapelig artikkel
Celledoni, Elena; Sævstrøm, Niklas. (2006) Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions. Journal of Physics A: Mathematical and General
Vitenskapelig artikkel
Celledoni, Elena; Sævstrøm, Niklas. (2006) A symmetric splitting method for rigid body dynamics. MIC Journal: Modeling, Identification and Control
Vitenskapelig artikkel
Celledoni, Elena. (2005) Eulerian and Semi-Lagrangian schemes based on commutator free exponential integrators. CRM Proceedings and Lecture notes AMS
Vitenskapelig artikkel
Celledoni, Elena; Fiori, Simone. (2004) Neural Learning by Geometric Integration of Reduced 'Rigid Body' Equations. Journal of Computational and Applied Mathematics
Vitenskapelig artikkel
Celledoni, Elena; Owren, Brynjulf. (2003) On the Implementation of Lie Group Methods on the Stiefel Manifold. Numerical Algorithms
Vitenskapelig artikkel
Celledoni, Elena; Marthinsen, Arne; Owren, Brynjulf. (2003) Commutator-free Lie group methods. Future Generation Computer Systems
Vitenskapelig artikkel
Celledoni, Elena; Owren, Brynjulf. (2003) Lie group methods for rigid body dynamics and time integration on manifolds. Computer Methods in Applied Mechanics and Engineering
Vitenskapelig artikkel
Celledoni, Elena; Iserles, Arieh; Nørsett, Syvert P.; Orel, Bojan. (2002) Complexity Theory for Lie-Group Solvers. Journal of Complexity
Vitenskapelig artikkel
Celledoni, Elena; Owren, Brynjulf. (2002) A class of intrinsic schemes for orthogonal integration. SIAM Journal on Numerical Analysis
Vitenskapelig artikkel
Celledoni, Elena. (2001) A note on the numerical integration of the KdV equation via isospectral deformations. Journal of Physics A: Mathematical and General
Vitenskapelig artikkel
Celledoni, Elena; Iserles, Arieh. (2001) Methods for the approximation of the matrix exponential in a Lie-algebraic setting. IMA Journal of Numerical Analysis
Vitenskapelig artikkel
Celledoni, Elena; Iserles, Arieh. (2000) Approximating the matrix exponential from a Lie algebra to a Lie group. Mathematics of Computation
Vitenskapelig artikkel
Celledoni, Elena. (1998) Discrete QMR and BCG in the numerical solution od linear systems of ODEs. Journal of Computational and Applied Mathematics
Vitenskapelig artikkel
Celledoni, Elena; Moret, Igor. (1997) A Krylov projection method for systems of ODEs. Applied Numerical Mathematics
Vitenskapelig artikkel

Bøker

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)
Vitenskapelig antologi/Konferanseserie
Celledoni, Elena; Di Nunno, Giulia; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans. (2018) Computation and Combinatorics in Dynamics, Stochastics and Control. Springer Abel Symposia (1)
Vitenskapelig antologi/Konferanseserie
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)
Fagbok
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
Vitenskapelig antologi/Konferanseserie
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
Vitenskapelig antologi/Konferanseserie
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
Vitenskapelig antologi/Konferanseserie

Del av bok/rapport

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)
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series.
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
Celledoni, Elena; Sævstrøm, Niklas. (2005) A symmetric splitting method for rigid body dynamics. Tapir Akademisk Forlag
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
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
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel

Rapport

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
Rapport
Ringholm, Torbjørn; Owren, Brynjulf; Celledoni, Elena. (2018) Discrete gradient methods in image processing and partial differential equations on moving meshes. NTNU
Doktorgradsavhandling
Celledoni, Elena; Farre Puiggali, Marta; Høiseth, Eirik Hoel; Martin de Diego, David. (2016) Energy-Preserving Integrators Applied to Nonholonomic Systems. arXiv.org (1605.02845)
Rapport
Celledoni, Elena; Markus, Eslitzbichler. (2015) Shape Analysis on Lie Groups with Applications in Computer Animation. arXiv, Cornell University Library
Rapport
Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.. (2015) Discretization of polynomial vector fields by polarization. arXiv.org
Rapport
Celledoni, Elena; Anne Mari, Kleivedalen. (2014) Rigid body attitude control. IMF,NTNU
Mastergradsoppgave
Celledoni, Elena; Høiseth, Eirik Hoel; Ramzina, Nataliya. (2014) Splitting methods for controlled vessel marine operations. ArXiv
Rapport
Kvernelv, Vegard Berg; Celledoni, Elena. (2013) Optimization on Matrix Manifolds with Applications to Blind Source Separation, Master thesis. NTNU
Mastergradsoppgave
Ringheim, Inger Marie; Celledoni, Elena. (2013) Numerical Solution of Equilibrium Equations of Spatial Elastica, Master thesis. NTNU
Mastergradsoppgave
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
Rapport
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2009) Order conditions for the semi-Lagrangian exponential integrators. IMF, NTNU
Rapport
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Energy-preserving integrators and the structure of B-series. IMF, NTNU
Rapport
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
Rapport
Celledoni, Elena; Säfström, Niklas. (2009) Hamiltonian and multi-symplectic formulation of a rod model using quaternions. IMF, NTNU
Rapport
Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving Runge-Kutta methods. NTNU Institutt for matematiske fag
Rapport
Celledoni, Elena; Zanna, Antonella. (2008) FRB-FORTRAN routines for the exact computation of free rigid body motions. NTNU Institutt for matematiske fag
Rapport
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2008) Semi-Lagrangian exponential integrators for convection dominated problems. NTNU Institutt for matematiske fag
Rapport
Celledoni, Elena; Kvamsdal, Trond. (2007) Parallelism in time for thermo-viscoplastic problems in extrusion of aluminium. NTNU Institutt for matematiske fag
Rapport
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
Rapport
Celledoni, Elena; Fiori, Simone. (2007) Descent methods for optimization on homogenous manifolds. Institutt for Matematiske fag, NTNU
Rapport
Celledoni, Elena; Evensberget, Dag Frohde. (2006) Numerical Simulation of Nonholonomic Dynamics. NTNU Institutt for matematiske fag
Mastergradsoppgave
Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2006) Symmetric exponential integrators for the cubic Schroedinger equation. Institutt for Matematiske fag, NTNU
Rapport
Celledoni, Elena; Owren, Brynjulf. (2001) A class of low complexity intrinsic schemes for orthogonal integration. Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
Rapport
Celledoni, Elena. (1997) Metodi di Krylov per sistemi lineari di equazioni differenziali ordinarie. Dipartimento di matematica pura ed applicata, Univ. Padova
Doktorgradsavhandling

PRODUKT

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

Undervisning

Emner

Formidling

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

Vitenskapelig foredrag

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

Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

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

2017

Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

2016

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

Vitenskapelig foredrag

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

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

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

2014

Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

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

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

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

2013

Vitenskapelig foredrag

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 -
Vitenskapelig foredrag

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

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
Vitenskapelig foredrag

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

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

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
Vitenskapelig foredrag

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

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

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

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

2012

Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

Vitenskapelig foredrag

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

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

2009

Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

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

2008

Vitenskapelig foredrag

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 -
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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 -
Vitenskapelig foredrag

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

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

Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

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
Vitenskapelig foredrag

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 -
Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

2005

Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

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

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

Vitenskapelig foredrag

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
Vitenskapelig foredrag

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

2003

Vitenskapelig foredrag

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 -
Vitenskapelig foredrag

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

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

2001

Vitenskapelig foredrag

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

2000

Vitenskapelig foredrag

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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