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

2022

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. volum 9 (4).
Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics.
Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators. Springer. 2022. ISBN 978-3-031-11818-0. Progress in industrial mathematics at ECMI (1).
Tapley, Benjamin Kwanen; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2022) Computational geometric methods for preferential clustering of particle suspensions. Journal of Computational Physics. volum 448.

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. volum 33 (4).
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. volum 387.
Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; McLachlan, Robert I.; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Structure preserving deep learning. European journal of applied mathematics.
Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Equivariant neural networks for inverse problems. Inverse Problems. volum 37 (8).
Celledoni, Elena; Jackaman, James. (2021) Discrete conservation laws for finite element discretisations of multisymplectic PDEs. Journal of Computational Physics. volum 444.
Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2021) Lie Group integrators for mechanical systems. International Journal of Computer Mathematics.

2019

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. volum 6 (2).
Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation. volum 89 (322).
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.
Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H.. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. Journal of Physics A: Mathematical and Theoretical. volum 52 (31).
Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H.. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org.
Celledoni, Elena; Farre Puiggali, Marta; Høiseth, Eirik Hoel; Martin de Diego, David. (2019) Energy-Preserving Integrators Applied to Nonholonomic Systems. Journal of nonlinear science. volum 29 (4).
Celledoni, Elena; Gustad, Halvor Snersrud; Kopylov, Nikita; Sundklakk, Henrik Sperre. (2019) Predicting bending moments with machine learning. Lecture Notes in Computer Science (LNCS). volum LNCS11712.
Celledoni, Elena; Lystad, Pål Erik; Tapia, Nikolas. (2019) Signatures in Shape analysis: An efficient approach to motion identification. Lecture Notes in Computer Science (LNCS). volum 11712 LNCS.
Celledoni, Elena; McLachlan, I. Robert. (2019) Preface. Special issue in honour of Reinout Quispel. Journal of Computational Dynamics. volum 6 (2).
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. volum 52 (6).
Gustad, Halvor Snersrud; Moe, Per Thomas; Celledoni, Elena. (2019) A PDE Model for Estimating the Life Time of a Riser. ASME Press. 2019. ISBN 978-0-7918-5881-3.
Li, Lu; Celledoni, Elena. (2019) Krylov projection methods for linear Hamiltonian systems. Numerical Algorithms.
Ohm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons. MekIT’19 - 10th National Conference on Computational Mechanics (Trondheim, Norway, 3-4 June 2019).
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. volum 81 (4).
Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf. (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org.
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. volum 52 (4).

2018

Celledoni, Elena; Di Nunno, Giulia; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans. (2018) Computation and Combinatorics in Dynamics, Stochastics and Control. Springer. 2018. ISBN 978-3-030-01592-3. Abel Symposia (1).
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. volum 40 (6).
Celledoni, Elena; Eidnes, Sølve; Schmeding, Alexander. (2018) Shape analysis on homogeneous spaces: a generalised SRVT framework. Abel Symposia. volum 13.
Celledoni, Elena; Høiseth, Eirik Hoel; Ramzina, Nataliya. (2018) Passivity-preserving splitting methods for rigid body systems. Multibody system dynamics. volum 44 (3).
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.

2017

Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on Lie groups and homogeneous manifolds. Proceedings of the GSI conference 2017.
Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on lie groups and homogeneous spaces. Lecture Notes in Computer Science (LNCS). volum 10589 LNCS.
Celledoni, Elena; Høiseth, Eirik Hoel. (2017) Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems. arXiv.org.
Celledoni, Elena; Li, Lu. (2017) Symplectic Lanczos and Arnoldi Method for Solving Linear Hamiltonian Systems: Preservation of Energy and Other Invariants. Springer Publishing Company. 2017. ISBN 978-3-319-63081-6. Progress in industrial mathematics at ECMI (26).

2016

Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with application in computer animation. Journal of Geometric Mechanics (JGM). volum 8 (3).
Celledoni, Elena; Farre Puiggali, Marta; Høiseth, Eirik Hoel; Martin de Diego, David. (2016) Energy-Preserving Integrators Applied to Nonholonomic Systems. 2016. arXiv.org (1605.02845).
Celledoni, Elena; Høiseth, Eirik Hoel. (2016) The averaged Lagrangian method. Journal of Computational and Applied Mathematics. volum 316.
Celledoni, Elena; Kometa, Bawfeh Kingsley; Verdier, Olivier. (2016) High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations. Journal of Scientific Computing. volum 66 (1).
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. volum 74.
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. volum 74.

2015

Celledoni, Elena; Kozlov, Roman; Matsuo, Takayasu. (2015) Preface of the “Symposium on structure-preserving integrators for differential equations”. AIP Conference Proceedings. volum 1648.
Celledoni, Elena; Markus, Eslitzbichler. (2015) Shape Analysis on Lie Groups with Applications in Computer Animation. 2015.
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. volum 471:20150390.
Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.. (2015) Discretization of polynomial vector fields by polarization. 2015.
Høiseth, Eirik Hoel; Celledoni, Elena; Gustafsson, Einar; Ramzina, Nataliya. (2015) Splitting methods for controlled vessel offshore operations. AIP Conference Proceedings. volum 1648.

2014

Celledoni, Elena; Høiseth, Eirik Hoel; Ramzina, Nataliya. (2014) Splitting methods for controlled vessel marine operations. 2014.
Celledoni, Elena; Marthinsen, Håkon; Owren, Brynjulf. (2014) An introduction to Lie group integrators - basics, new developments and applications. Journal of Computational Physics. volum 257, Part B.
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. volum 47 (36).
Celledoni, Elena; Owren, Brynjulf. (2014) Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems. Series A. volum 34 (3).
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. volum 83 (288).
Celledoni, Elena; Sanz-Serna, Jesus Maria; Zanna, Antonella. (2014) Guest editors' preface. Discrete and Continuous Dynamical Systems. Series A. volum 34 (3).

2013

Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf; Quispel, G.R.W.. (2013) Geometric properties of Kahan's method. Journal of Physics A: Mathematical and Theoretical. volum 46 (2).

2012

Celledoni, Elena; Grimm, Volker; McLachlan, Robert I.; McLaren, David; O'Neale, Dion; Owren, Brynjulf; Quispel, G.R.W. (2012) Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method. Journal of Computational Physics. volum 231 (20).
Celledoni, Elena; Matsuo, Takayasu. (2012) Preface of the "Symposium on structure-preserving numerical methods for differential equations". AIP Conference Proceedings.

2011

Celledoni, Elena; Kometa, Bawfeh Kingsley. (2011) Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems. Journal of Computational Physics. volum 230 (9).

2010

Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) Energy-Preserving Integrators and the Structure of B-series. Foundations of Computational Mathematics. volum 10 (6).
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. volum 5 (1-2).
Celledoni, Elena; Säfström, Niklas. (2010) A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering. volum 199 (45-48).
Celledoni, Elena; Säfström, Niklas. (2010) Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering. volum 199 (45-48).
Celledoni, Elena; Zanna, Antonella. (2010) Algorithm 903: FRB-Fortran Routines for the Exact Computation of Free Rigid Body Motions. ACM Transactions on Mathematical Software. volum 37 (2).
Gisler, Galen Ross; Celledoni, Elena; Helgaker, Trygve; Iversen, Trond; Jakobsen, Kjetill Sigurd; Jones, Colin N.; Lipniacka, Anna; Lundervold, Arvid; Olsen, Nils Reidar Bøe; De Smedt, Koenraad; Koster, Jacko; Høst, Gudmund. (2010) The scientific case for eInfrastructure in Norway. 2010. ISBN 978-82-12-02831-9.

2009

Celledoni, Elena; Grimm, V; McLachlan, I. Robert; McLaren, David; O'Neale, Dion; Owren, Brynjulf; Quispel, Reinout. (2009) Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method. 2009.
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2009) Order conditions for the semi-Lagrangian exponential integrators. 2009.
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2009) Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems. Journal of Scientific Computing. volum 41 (1).
Celledoni, Elena; Kvamsdal, Trond. (2009) Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium. International Journal for Numerical Methods in Engineering. volum 79 (5).
Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Reinout, Quispel; Wright, Will. (2009) Energy-preserving Runge-Kutta methods. Mathematical Modelling and Numerical Analysis. volum 43 (4).
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Energy-preserving integrators and the structure of B-series. 2009.
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Structure of B-series for some classes of Geometric Integrators. AIP Conference Proceedings. volum 1168.
Celledoni, Elena; Säfström, Niklas. (2009) An elastic rod model and its Hamiltonian structure. AIP Conference Proceedings. volum 1168.
Celledoni, Elena; Säfström, Niklas. (2009) Hamiltonian and multi-symplectic formulation of a rod model using quaternions. 2009.

2008

Celledoni, Elena. (2008) ParaReal: FORTRAN/MPI parallel in time prototype code for the heat equation in 1 space dimension. http://www.math.ntnu.no/~elenac/software.html, Trondheim. 2008.
Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2008) Symmetric exponential integrators for the nonlinear Schroedinger equation. Foundations of Computational Mathematics. volum 8.
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. volum 30 (4).
Celledoni, Elena; Fiori, Simone. (2008) Descent methods for optimization on homogeneous manifolds. Mathematics and Computers in Simulation. volum 79 (4).
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2008) Semi-Lagrangian exponential integrators for convection dominated problems. 2008.
Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving Runge-Kutta methods. 2008.
Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series. 21st Nordic Seminar on Computational Mechanics.
Celledoni, Elena; Zanna, Antonella. (2008) FRB-FORTRAN routines for the exact computation of free rigid body motions. 2008.

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. volum 30 (4).
Celledoni, Elena; Fasso, Francesco; Sævstrøm, Niklas; Zanna, Antonella. (2007) Exact computation of the solution of the free rigid body with applications. 2007.
Celledoni, Elena; Fiori, Simone. (2007) Descent methods for optimization on homogenous manifolds. 2007.
Celledoni, Elena; Kvamsdal, Trond. (2007) Parallelism in time for thermo-viscoplastic problems in extrusion of aluminium. 2007.

2006

Celledoni, Elena. (2006) Exponential integrators for convection dominated problems. Oberwolfach Reports. volum 3 (1).
Celledoni, Elena. (2006) Semi-Lagrangian methods and new integrators for convection dominated problems. Oberwolfach Reports. volum 3 (2).
Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2006) Symmetric exponential integrators for the cubic Schroedinger equation. 2006.
Celledoni, Elena; Sævstrøm, Niklas. (2006) A symmetric splitting method for rigid body dynamics. Modeling, Identification and Control. volum 27 (2).
Celledoni, Elena; Sævstrøm, Niklas. (2006) Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions. Journal of Physics A: Mathematical and General. volum 39.

2005

Amundsen, J; Andersson, H; Celledoni, E; Gravdahl, T; Michelsen, F; Nagel, H; Natvig, T. (2005) SIMS 2005. 46th Conference on Simulation and Modeling. Tapir Akademisk Forlag. 2005. ISBN 8251920930.
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. 2005. ISBN 82-519-2093-0.
Celledoni, Elena; Sævstrøm, Niklas. (2005) A symmetric splitting method for rigid body dynamics. SIMS 2005 46th Conference on Simulation and Modeling.
Celledoni, Elena. (2005) Eulerian and Semi-Lagrangian schemes based on commutator free exponential integrators. CRM Proceedings and Lecture notes AMS. volum 39.

2004

Celledoni, Elena; Fiori, Simone. (2004) Neural Learning by Geometric Integration of Reduced 'Rigid Body' Equations. Journal of Computational and Applied Mathematics. volum 172.
Celledoni, Elena; Kvamsdal, Trond. (2004) Parallel time solver for the transient Stokes problem. 2004. ISBN 951-39-1868-8.

2003

Celledoni, Elena; Owren, Brynjulf. (2003) On the Implementation of Lie Group Methods on the Stiefel Manifold. Numerical Algorithms. volum 32.
Celledoni, Elena; Marthinsen, Arne; Owren, Brynjulf. (2003) Commutator-free Lie group methods. Future generations computer systems. volum 19 (3).
Celledoni, Elena; Owren, Brynjulf. (2003) Lie group methods for rigid body dynamics and time integration on manifolds. Computer Methods in Applied Mechanics and Engineering. volum 19 (3/4).

2002

Celledoni, Elena; Iserles, Arieh; Nørsett, Syvert P.; Orel, Bojan. (2002) Complexity Theory for Lie-Group Solvers. Journal of Complexity. volum 18.
Celledoni, Elena; Owren, Brynjulf. (2002) A class of intrinsic schemes for orthogonal integration. SIAM Journal on Numerical Analysis. volum 40 (6).

2001

Celledoni, Elena. (2001) A note on the numerical integration of the KdV equation via isospectral deformations. Journal of Physics A: Mathematical and General. volum 34.
Celledoni, Elena; Iserles, Arieh. (2001) Methods for the approximation of the matrix exponential in a Lie-algebraic setting. IMA Journal of Numerical Analysis. volum 21.
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. Proceedings of the Parallel CFD conference, Trondheim 2000.
Celledoni, Elena; Owren, Brynjulf. (2001) A class of low complexity intrinsic schemes for orthogonal integration. 2001. Preprint Numerics, Department of Mathematical Sciences, NTNU (1).

2000

Celledoni, Elena; Iserles, Arieh. (2000) Approximating the matrix exponential from a Lie algebra to a Lie group. Mathematics of Computation. volum 69 (232).

1998

Celledoni, Elena. (1998) Discrete QMR and BCG in the numerical solution od linear systems of ODEs. Journal of Computational and Applied Mathematics. volum 91 (1).

1997

Celledoni, Elena. (1997) Metodi di Krylov per sistemi lineari di equazioni differenziali ordinarie. 1997.
Celledoni, Elena; Moret, Igor. (1997) A Krylov projection method for systems of ODEs. Applied Numerical Mathematics. volum 24.

Journal publications

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. volum 9 (4).
Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics.
Tapley, Benjamin Kwanen; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2022) Computational geometric methods for preferential clustering of particle suspensions. Journal of Computational Physics. volum 448.
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. volum 33 (4).
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. volum 387.
Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; McLachlan, Robert I.; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Structure preserving deep learning. European journal of applied mathematics.
Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Equivariant neural networks for inverse problems. Inverse Problems. volum 37 (8).
Celledoni, Elena; Jackaman, James. (2021) Discrete conservation laws for finite element discretisations of multisymplectic PDEs. Journal of Computational Physics. volum 444.
Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2021) Lie Group integrators for mechanical systems. International Journal of Computer Mathematics.
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. volum 6 (2).
Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation. volum 89 (322).
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.
Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H.. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. Journal of Physics A: Mathematical and Theoretical. volum 52 (31).
Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H.. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org.
Celledoni, Elena; Farre Puiggali, Marta; Høiseth, Eirik Hoel; Martin de Diego, David. (2019) Energy-Preserving Integrators Applied to Nonholonomic Systems. Journal of nonlinear science. volum 29 (4).
Celledoni, Elena; Gustad, Halvor Snersrud; Kopylov, Nikita; Sundklakk, Henrik Sperre. (2019) Predicting bending moments with machine learning. Lecture Notes in Computer Science (LNCS). volum LNCS11712.
Celledoni, Elena; Lystad, Pål Erik; Tapia, Nikolas. (2019) Signatures in Shape analysis: An efficient approach to motion identification. Lecture Notes in Computer Science (LNCS). volum 11712 LNCS.
Celledoni, Elena; McLachlan, I. Robert. (2019) Preface. Special issue in honour of Reinout Quispel. Journal of Computational Dynamics. volum 6 (2).
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. volum 52 (6).
Li, Lu; Celledoni, Elena. (2019) Krylov projection methods for linear Hamiltonian systems. Numerical Algorithms.
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. volum 81 (4).
Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf. (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org.
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. volum 52 (4).
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. volum 40 (6).
Celledoni, Elena; Eidnes, Sølve; Schmeding, Alexander. (2018) Shape analysis on homogeneous spaces: a generalised SRVT framework. Abel Symposia. volum 13.
Celledoni, Elena; Høiseth, Eirik Hoel; Ramzina, Nataliya. (2018) Passivity-preserving splitting methods for rigid body systems. Multibody system dynamics. volum 44 (3).
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.
Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on Lie groups and homogeneous manifolds. Proceedings of the GSI conference 2017.
Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on lie groups and homogeneous spaces. Lecture Notes in Computer Science (LNCS). volum 10589 LNCS.
Celledoni, Elena; Høiseth, Eirik Hoel. (2017) Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems. arXiv.org.
Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with application in computer animation. Journal of Geometric Mechanics (JGM). volum 8 (3).
Celledoni, Elena; Høiseth, Eirik Hoel. (2016) The averaged Lagrangian method. Journal of Computational and Applied Mathematics. volum 316.
Celledoni, Elena; Kometa, Bawfeh Kingsley; Verdier, Olivier. (2016) High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations. Journal of Scientific Computing. volum 66 (1).
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. volum 74.
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. volum 74.
Celledoni, Elena; Kozlov, Roman; Matsuo, Takayasu. (2015) Preface of the “Symposium on structure-preserving integrators for differential equations”. AIP Conference Proceedings. volum 1648.
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. volum 471:20150390.
Høiseth, Eirik Hoel; Celledoni, Elena; Gustafsson, Einar; Ramzina, Nataliya. (2015) Splitting methods for controlled vessel offshore operations. AIP Conference Proceedings. volum 1648.
Celledoni, Elena; Marthinsen, Håkon; Owren, Brynjulf. (2014) An introduction to Lie group integrators - basics, new developments and applications. Journal of Computational Physics. volum 257, Part B.
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. volum 47 (36).
Celledoni, Elena; Owren, Brynjulf. (2014) Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems. Series A. volum 34 (3).
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. volum 83 (288).
Celledoni, Elena; Sanz-Serna, Jesus Maria; Zanna, Antonella. (2014) Guest editors' preface. Discrete and Continuous Dynamical Systems. Series A. volum 34 (3).
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. volum 46 (2).
Celledoni, Elena; Grimm, Volker; McLachlan, Robert I.; McLaren, David; O'Neale, Dion; Owren, Brynjulf; Quispel, G.R.W. (2012) Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method. Journal of Computational Physics. volum 231 (20).
Celledoni, Elena; Matsuo, Takayasu. (2012) Preface of the "Symposium on structure-preserving numerical methods for differential equations". AIP Conference Proceedings.
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2011) Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems. Journal of Computational Physics. volum 230 (9).
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) Energy-Preserving Integrators and the Structure of B-series. Foundations of Computational Mathematics. volum 10 (6).
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. volum 5 (1-2).
Celledoni, Elena; Säfström, Niklas. (2010) A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering. volum 199 (45-48).
Celledoni, Elena; Säfström, Niklas. (2010) Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering. volum 199 (45-48).
Celledoni, Elena; Zanna, Antonella. (2010) Algorithm 903: FRB-Fortran Routines for the Exact Computation of Free Rigid Body Motions. ACM Transactions on Mathematical Software. volum 37 (2).
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2009) Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems. Journal of Scientific Computing. volum 41 (1).
Celledoni, Elena; Kvamsdal, Trond. (2009) Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium. International Journal for Numerical Methods in Engineering. volum 79 (5).
Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Reinout, Quispel; Wright, Will. (2009) Energy-preserving Runge-Kutta methods. Mathematical Modelling and Numerical Analysis. volum 43 (4).
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Structure of B-series for some classes of Geometric Integrators. AIP Conference Proceedings. volum 1168.
Celledoni, Elena; Säfström, Niklas. (2009) An elastic rod model and its Hamiltonian structure. AIP Conference Proceedings. volum 1168.
Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2008) Symmetric exponential integrators for the nonlinear Schroedinger equation. Foundations of Computational Mathematics. volum 8.
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. volum 30 (4).
Celledoni, Elena; Fiori, Simone. (2008) Descent methods for optimization on homogeneous manifolds. Mathematics and Computers in Simulation. volum 79 (4).
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. volum 30 (4).
Celledoni, Elena. (2006) Exponential integrators for convection dominated problems. Oberwolfach Reports. volum 3 (1).
Celledoni, Elena. (2006) Semi-Lagrangian methods and new integrators for convection dominated problems. Oberwolfach Reports. volum 3 (2).
Celledoni, Elena; Sævstrøm, Niklas. (2006) A symmetric splitting method for rigid body dynamics. Modeling, Identification and Control. volum 27 (2).
Celledoni, Elena; Sævstrøm, Niklas. (2006) Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions. Journal of Physics A: Mathematical and General. volum 39.
Celledoni, Elena. (2005) Eulerian and Semi-Lagrangian schemes based on commutator free exponential integrators. CRM Proceedings and Lecture notes AMS. volum 39.
Celledoni, Elena; Fiori, Simone. (2004) Neural Learning by Geometric Integration of Reduced 'Rigid Body' Equations. Journal of Computational and Applied Mathematics. volum 172.
Celledoni, Elena; Owren, Brynjulf. (2003) On the Implementation of Lie Group Methods on the Stiefel Manifold. Numerical Algorithms. volum 32.
Celledoni, Elena; Marthinsen, Arne; Owren, Brynjulf. (2003) Commutator-free Lie group methods. Future generations computer systems. volum 19 (3).
Celledoni, Elena; Owren, Brynjulf. (2003) Lie group methods for rigid body dynamics and time integration on manifolds. Computer Methods in Applied Mechanics and Engineering. volum 19 (3/4).
Celledoni, Elena; Iserles, Arieh; Nørsett, Syvert P.; Orel, Bojan. (2002) Complexity Theory for Lie-Group Solvers. Journal of Complexity. volum 18.
Celledoni, Elena; Owren, Brynjulf. (2002) A class of intrinsic schemes for orthogonal integration. SIAM Journal on Numerical Analysis. volum 40 (6).
Celledoni, Elena. (2001) A note on the numerical integration of the KdV equation via isospectral deformations. Journal of Physics A: Mathematical and General. volum 34.
Celledoni, Elena; Iserles, Arieh. (2001) Methods for the approximation of the matrix exponential in a Lie-algebraic setting. IMA Journal of Numerical Analysis. volum 21.
Celledoni, Elena; Iserles, Arieh. (2000) Approximating the matrix exponential from a Lie algebra to a Lie group. Mathematics of Computation. volum 69 (232).
Celledoni, Elena. (1998) Discrete QMR and BCG in the numerical solution od linear systems of ODEs. Journal of Computational and Applied Mathematics. volum 91 (1).
Celledoni, Elena; Moret, Igor. (1997) A Krylov projection method for systems of ODEs. Applied Numerical Mathematics. volum 24.

Report/dissertation

Celledoni, Elena; Farre Puiggali, Marta; Høiseth, Eirik Hoel; Martin de Diego, David. (2016) Energy-Preserving Integrators Applied to Nonholonomic Systems. 2016. arXiv.org (1605.02845).
Celledoni, Elena; Markus, Eslitzbichler. (2015) Shape Analysis on Lie Groups with Applications in Computer Animation. 2015.
Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.. (2015) Discretization of polynomial vector fields by polarization. 2015.
Celledoni, Elena; Høiseth, Eirik Hoel; Ramzina, Nataliya. (2014) Splitting methods for controlled vessel marine operations. 2014.
Gisler, Galen Ross; Celledoni, Elena; Helgaker, Trygve; Iversen, Trond; Jakobsen, Kjetill Sigurd; Jones, Colin N.; Lipniacka, Anna; Lundervold, Arvid; Olsen, Nils Reidar Bøe; De Smedt, Koenraad; Koster, Jacko; Høst, Gudmund. (2010) The scientific case for eInfrastructure in Norway. 2010. ISBN 978-82-12-02831-9.
Celledoni, Elena; Grimm, V; McLachlan, I. Robert; McLaren, David; O'Neale, Dion; Owren, Brynjulf; Quispel, Reinout. (2009) Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method. 2009.
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2009) Order conditions for the semi-Lagrangian exponential integrators. 2009.
Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Energy-preserving integrators and the structure of B-series. 2009.
Celledoni, Elena; Säfström, Niklas. (2009) Hamiltonian and multi-symplectic formulation of a rod model using quaternions. 2009.
Celledoni, Elena; Kometa, Bawfeh Kingsley. (2008) Semi-Lagrangian exponential integrators for convection dominated problems. 2008.
Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving Runge-Kutta methods. 2008.
Celledoni, Elena; Zanna, Antonella. (2008) FRB-FORTRAN routines for the exact computation of free rigid body motions. 2008.
Celledoni, Elena; Fasso, Francesco; Sævstrøm, Niklas; Zanna, Antonella. (2007) Exact computation of the solution of the free rigid body with applications. 2007.
Celledoni, Elena; Fiori, Simone. (2007) Descent methods for optimization on homogenous manifolds. 2007.
Celledoni, Elena; Kvamsdal, Trond. (2007) Parallelism in time for thermo-viscoplastic problems in extrusion of aluminium. 2007.
Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2006) Symmetric exponential integrators for the cubic Schroedinger equation. 2006.
Celledoni, Elena; Owren, Brynjulf. (2001) A class of low complexity intrinsic schemes for orthogonal integration. 2001. Preprint Numerics, Department of Mathematical Sciences, NTNU (1).
Celledoni, Elena. (1997) Metodi di Krylov per sistemi lineari di equazioni differenziali ordinarie. 1997.

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. MekIT’19 - 10th National Conference on Computational Mechanics (Trondheim, Norway, 3-4 June 2019).
Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series. 21st Nordic Seminar on Computational Mechanics.
Celledoni, Elena; Sævstrøm, Niklas. (2005) A symmetric splitting method for rigid body dynamics. SIMS 2005 46th Conference on Simulation and Modeling.
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. Proceedings of the Parallel CFD conference, Trondheim 2000.

PRODUKT

Celledoni, Elena. (2008) ParaReal: FORTRAN/MPI parallel in time prototype code for the heat equation in 1 space dimension. http://www.math.ntnu.no/~elenac/software.html, Trondheim. 2008.

Books

Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators. Springer. 2022. ISBN 978-3-031-11818-0. Progress in industrial mathematics at ECMI (1).
Gustad, Halvor Snersrud; Moe, Per Thomas; Celledoni, Elena. (2019) A PDE Model for Estimating the Life Time of a Riser. ASME Press. 2019. ISBN 978-0-7918-5881-3.
Celledoni, Elena; Di Nunno, Giulia; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans. (2018) Computation and Combinatorics in Dynamics, Stochastics and Control. Springer. 2018. ISBN 978-3-030-01592-3. Abel Symposia (1).
Celledoni, Elena; Li, Lu. (2017) Symplectic Lanczos and Arnoldi Method for Solving Linear Hamiltonian Systems: Preservation of Energy and Other Invariants. Springer Publishing Company. 2017. ISBN 978-3-319-63081-6. Progress in industrial mathematics at ECMI (26).
Amundsen, J; Andersson, H; Celledoni, E; Gravdahl, T; Michelsen, F; Nagel, H; Natvig, T. (2005) SIMS 2005. 46th Conference on Simulation and Modeling. Tapir Akademisk Forlag. 2005. ISBN 8251920930.
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. 2005. ISBN 82-519-2093-0.
Celledoni, Elena; Kvamsdal, Trond. (2004) Parallel time solver for the transient Stokes problem. 2004. ISBN 951-39-1868-8.

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