2025

• Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Leyendecker, Sigrid; Murari, Davide; Owren, Brynjulf Rustad. (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

• 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
  Article in business/trade/industry journal

2021

• 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

2019

• 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/article/Conference paper
• Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin. (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org
  Academic article
• Li, Lu; Celledoni, Elena. (2019) Krylov projection methods for linear Hamiltonian systems. Numerical Algorithms
  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
• Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf. (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org
  Academic article

2017

• Celledoni, Elena; Høiseth, Eirik Hoel. (2017) Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems. arXiv.org
  Academic article
• Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on Lie groups and homogeneous manifolds. Proceedings of the GSI conference 2017
  Abstract

2016

• 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
• 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; 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

2013

• Ringheim, Inger Marie; Celledoni, Elena. (2013) Numerical Solution of Equilibrium Equations of Spatial Elastica, Master thesis. NTNU NTNU
  Masters thesis
• Kvernelv, Vegard Berg; Celledoni, Elena. (2013) Optimization on Matrix Manifolds with Applications to Blind Source Separation, Master thesis. NTNU NTNU
  Masters 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

2010

• 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

2009

• Celledoni, Elena; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout. (2009) Energy-preserving integrators and the structure of B-series. IMF, NTNU IMF, NTNU
  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 IMF, NTNU
  Report
• 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

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 NTNU Institutt for matematiske fag
  Report
• Celledoni, Elena; Zanna, Antonella. (2008) FRB-FORTRAN routines for the exact computation of free rigid body motions. NTNU Institutt for matematiske fag NTNU Institutt for matematiske fag
  Report
• Celledoni, Elena; McLaren, David; McLachlan, I. Robert; Owren, Brynjulf; Quispel, Reinout; Wright, Will. (2008) Energy-preserving methods and B-series.
  Academic chapter/article/Conference paper

2007

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

2005

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

2002

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

2001

• Celledoni, Elena; Owren, Brynjulf. (2001) A class of low complexity intrinsic schemes for orthogonal integration. Institutt for matematiske fag, NTNU. Institutt for matematiske fag, NTNU.
  Report