2025

• Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Leyendecker, Sigrid; Murari, Davide; Owren, Brynjulf Rustad; Almagro, Rodrigo T Sato Martín de; Stavole, Martina. (2025) Neural networks for the approximation of Euler’s elastica. Computer Methods in Applied Mechanics and Engineering
  Academic article
• Celledoni, Elena; Jackaman, James; Murari, Davide; Owren, Brynjulf Rustad. (2025) Predictions based on pixel data: Insights from PDEs and finite differences. Journal of Computational Physics
  Academic article
• Hansen, Martine Dyring; Celledoni, Elena; Tapley, Benjamin Kwanen. (2025) Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics. arXiv
  Academic article

2024

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

2023

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

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
  Academic article
• Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2022) Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics
  Academic article
• Celledoni, Elena; Cokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf Rustad. (2022) Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators. Mathematics in Industry
  Academic article
• Tapley, Benjamin Kwanen; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2022) Computational geometric methods for preferential clustering of particle suspensions. Journal of Computational Physics
  Academic article
• 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
  Research report

2021

• Arnold, Martin; Podhaisky, Helmut; Weiner, Rüdiger; Celledoni, Elena; Frank, Jason; Lang, Jens. (2021) Numerical Solution of Differential and Differential–Algebraic Equations. Selected Papers from NUMDIFF-15. Journal of Computational and Applied Mathematics
  Editorial
• Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia. (2021) Equivariant neural networks for inverse problems. Inverse Problems
  Academic article
• Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. (2021) Lie Group integrators for mechanical systems. International Journal of Computer Mathematics
  Academic article
• Celledoni, Elena; 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
  Academic article
• Andersson, Helge Ingolf; Celledoni, Elena; Ohm, Laurel; Owren, Brynjulf; Tapley, Benjamin. (2021) An integral model based on slender body theory, with applications to curved rigid fibers. Physics of Fluids
  Academic article
• Celledoni, Elena; Jackaman, James. (2021) Discrete conservation laws for finite element discretisations of multisymplectic PDEs. Journal of Computational Physics
  Academic article

2019

• Celledoni, Elena; McLaren, David; Owren, Brynjulf; Quispel, Reinout. (2019) Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals. Journal of Physics A: Mathematical and Theoretical
  Academic article
• Kamp, Peter H. van der; Celledoni, Elena; Mclachlan, Robert, i; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem. (2019) Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation. Journal of Physics A: Mathematical and Theoretical
  Academic article
• Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.; Tapley, Benjamin. (2019) Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps. arXiv.org
  Academic article
• Ohm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons.
  Academic chapter
• Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; Kamp, Peter H. van der. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org
  Academic article
• Gustad, Halvor Snersrud; Moe, Per Thomas; Celledoni, Elena. (2019) A PDE Model for Estimating the Life Time of a Riser. The American Society of Mechanical Engineers (ASME)
  Anthology
• Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. (2019) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Numerical Algorithms
  Academic article
• Celledoni, Elena; Puiggali, Marta Farre; Høiseth, Eirik Hoel; Diego, David Martin de. (2019) Energy-Preserving Integrators Applied to Nonholonomic Systems. Journal of nonlinear science
  Academic article
• Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation
  Academic article
• Li, Lu; Celledoni, Elena. (2019) Krylov projection methods for linear Hamiltonian systems. Numerical Algorithms
  Academic article
• Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; Kamp, Peter H. van der. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. Journal of Physics A: Mathematical and Theoretical
  Academic article
• Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane. (2019) Deep learning as optimal control problems: models and numerical methods. Journal of Computational Dynamics
  Academic article
• Celledoni, Elena; Lystad, Pål Erik; Tapia, Nikolas. (2019) Signatures in Shape analysis: An efficient approach to motion identification. Lecture Notes in Computer Science (LNCS)
  Academic article
• Celledoni, Elena; McLachlan, I. Robert. (2019) Preface. Special issue in honour of Reinout Quispel. Journal of Computational Dynamics
  Editorial
• Celledoni, Elena; Gustad, Halvor Snersrud; Kopylov, Nikita; Sundklakk, Henrik Sperre. (2019) Predicting bending moments with machine learning. Lecture Notes in Computer Science (LNCS)
  Academic article
• Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf. (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org
  Academic article

2018

• Celledoni, Elena; Di Nunno, Giulia; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans. (2018) Computation and Combinatorics in Dynamics, Stochastics and Control. Springer
  Anthology
• Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. (2018) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. arXiv.org
  Academic article
• Ringholm, Torbjørn; Owren, Brynjulf; Celledoni, Elena. (2018) Discrete gradient methods in image processing and partial differential equations on moving meshes. Norges teknisk-naturvitenskapelige universitet
  Doctoral thesis
• Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2018) Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows. SIAM Journal on Scientific Computing
  Academic article
• Celledoni, Elena; Høiseth, Eirik Hoel; Ramzina, Nataliya. (2018) Passivity-preserving splitting methods for rigid body systems. Multibody system dynamics
  Academic article
• Celledoni, Elena; Eidnes, Sølve; Schmeding, Alexander. (2018) Shape analysis on homogeneous spaces: a generalised SRVT framework. Abel Symposia
  Academic article

2017

• Celledoni, Elena; Li, Lu. (2017) Symplectic Lanczos and Arnoldi Method for Solving Linear Hamiltonian Systems: Preservation of Energy and Other Invariants. Springer Publishing Company
  Non-fiction monograph
• Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on lie groups and homogeneous spaces. Lecture Notes in Computer Science (LNCS)
  Academic article
• Celledoni, Elena; Høiseth, Eirik Hoel. (2017) Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems. arXiv.org
  Academic article
• Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on Lie groups and homogeneous manifolds. Proceedings of the GSI conference 2017
  Conference abstract

2016

• Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Quispel, Reinout. (2016) Two classes of quadratic vector fields for which the Kahan discretization is integrable. MI Lecture Note, Kyushu University
  Academic article
• Celledoni, Elena; Kometa, Bawfeh Kingsley; Verdier, Olivier. (2016) High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations. Journal of Scientific Computing
  Academic article
• Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2016) Two classes of quadratic vector fields for which the Kahan discretization is completely integrable MI Lecture Note Vol.74 : Kyushu University. MI Lecture Note, Kyushu University
  Academic article
• Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with application in computer animation. Journal of Geometric Mechanics (JGM)
  Academic article
• Celledoni, Elena; Puiggali, Marta Farre; Høiseth, Eirik Hoel; Diego, David Martin de. (2016) Energy-Preserving Integrators Applied to Nonholonomic Systems. Cornell University
  Research report
• Celledoni, Elena; Høiseth, Eirik Hoel. (2016) The averaged Lagrangian method. Journal of Computational and Applied Mathematics
  Academic article

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

2014

• Celledoni, Elena; Owren, Brynjulf. (2014) Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems. Series A
  Academic article
• Celledoni, Elena; Høiseth, Eirik Hoel; Ramzina, Nataliya. (2014) Splitting methods for controlled vessel marine operations. ArXiv
  Research report
• Celledoni, Elena; Mari, Kleivedalen Anne. (2014) Rigid Body Attitude Control. Norges teknisk-naturvitenskapelige universitet
  Master thesis
• Celledoni, Elena; Marthinsen, Håkon; Owren, Brynjulf. (2014) An introduction to Lie group integrators - basics, new developments and applications. Journal of Computational Physics
  Academic article
• Celledoni, Elena; Sanz-Serna, Jesus Maria; Zanna, Antonella. (2014) Guest editors' preface. Discrete and Continuous Dynamical Systems. Series A
  Editorial
• Celledoni, Elena; Owren, Brynjulf; Sun, Yajuan. (2014) The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method. Mathematics of Computation
  Academic article
• Celledoni, Elena; McLachlan, Robert I.; McLaren, David; Owren, Brynjulf; Quispel, G. R. W.. (2014) Integrability properties of Kahanʼs method. Journal of Physics A: Mathematical and Theoretical
  Academic article

2013

• Ringheim, Inger Marie; Celledoni, Elena. (2013) Numerical Solution of Equilibrium Equations of Spatial Elastica, Master thesis. NTNU
  Master thesis
• Kvernelv, Vegard Berg; Celledoni, Elena. (2013) Optimization on Matrix Manifolds with Applications to Blind Source Separation, Master thesis. NTNU
  Master thesis
• Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf; Quispel, G.R.W.. (2013) Geometric properties of Kahan's method. Journal of Physics A: Mathematical and Theoretical
  Academic article

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

2011

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

2010

• 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. (2010) The scientific case for eInfrastructure in Norway. Norges forskningsråd
  Research report
• Celledoni, Elena; Säfström, Niklas. (2010) Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering
  Academic article
• Celledoni, Elena; Zanna, Antonella. (2010) Algorithm 903: FRB-Fortran Routines for the Exact Computation of Free Rigid Body Motions. ACM Transactions on Mathematical Software
  Academic article
• Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) On conjugate B-series and their geometric structure. Journal on Numerical Analysis Industrial and Applied Mathematics
  Academic article
• Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2010) Energy-Preserving Integrators and the Structure of B-series. Foundations of Computational Mathematics
  Academic article
• Celledoni, Elena; Säfström, Niklas. (2010) A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. Computer Methods in Applied Mechanics and Engineering
  Academic article

2009

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

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
  Research report
• Celledoni, Elena; Zanna, Antonella. (2008) FRB-FORTRAN routines for the exact computation of free rigid body motions. NTNU Institutt for matematiske fag
  Research report
• Celledoni, Elena; Kometa, Bawfeh Kingsley. (2008) Semi-Lagrangian exponential integrators for convection dominated problems. NTNU Institutt for matematiske fag
  Research report
• Celledoni, Elena; Fasso, Francesco; Sævstrøm, Niklas; Zanna, Antonella. (2008) The exact computation of the free rigid body motion and its use in splitting methods. SIAM Journal on Scientific Computing
  Academic article
• Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series.
  Academic chapter
• Celledoni, Elena; Fiori, Simone. (2008) Descent methods for optimization on homogeneous manifolds. Mathematics and Computers in Simulation
  Academic article
• Celledoni, Elena; Cohen, David; Owren, Brynjulf. (2008) Symmetric exponential integrators for the nonlinear Schroedinger equation. Foundations of Computational Mathematics
  Academic article

2007

• Celledoni, Elena; Fasso, Francesco; Säfström, Niklas; Zanna, Antonella. (2007) The exact computation of the free rigid body motion and its use in splitting methods. SIAM Journal on Scientific Computing
  Academic article
• Celledoni, Elena; Kvamsdal, Trond. (2007) Parallelism in time for thermo-viscoplastic problems in extrusion of aluminium. NTNU Institutt for matematiske fag
  Research report
• Celledoni, Elena; Fasso, Francesco; Sævstrøm, Niklas; Zanna, Antonella. (2007) Exact computation of the solution of the free rigid body with applications. NTNU Institutt for matematiske fag
  Research report
• Celledoni, Elena; Fiori, Simone. (2007) Descent methods for optimization on homogenous manifolds. Institutt for Matematiske fag, NTNU
  Research report

2006

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

2005

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

2004

• Celledoni, Elena; Fiori, Simone. (2004) Neural Learning by Geometric Integration of Reduced 'Rigid Body' Equations. Journal of Computational and Applied Mathematics
  Academic article
• Celledoni, Elena; Kvamsdal, Trond. (2004) Parallel time solver for the transient Stokes problem. NSCM-17Proceedings of the 17th Nordic seminar on computational mechanics, October 15-16, 2004
  Anthology

2003

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

2002

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

2001

• Celledoni, Elena; Johannessen, Geir; Kvamsdal, Trond. (2001) Parallelisation of a CFD Code: The use of Aztec Library in the Parallel Numerical Simulation of Extrusion of Aluminium.
  Academic chapter
• Celledoni, Elena; Iserles, Arieh. (2001) Methods for the approximation of the matrix exponential in a Lie-algebraic setting. IMA Journal of Numerical Analysis
  Academic article
• Celledoni, Elena; Owren, Brynjulf. (2001) A class of low complexity intrinsic schemes for orthogonal integration. Institutt for matematiske fag, NTNU.
  Research report
• Celledoni, Elena. (2001) A note on the numerical integration of the KdV equation via isospectral deformations. Journal of Physics A: Mathematical and General
  Academic article

2000

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

1998

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

1997

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