Approximating the exponential from a Lie algebra to a Lie group. - Elena Celledoni; Arieh Iserles (Math. Comput., 2000)

Complexity Theory for Lie-Group Solvers. - Elena Celledoni; Arieh Iserles; Syvert P. Nørsett; Bojan Orel (J. Complex., 2002)

A Class of Intrinsic Schemes for Orthogonal Integration. - Elena Celledoni; Brynjulf Owren (SIAM J. Numer. Anal., 2002)

Commutator-free Lie group methods. - Elena Celledoni; Arne Marthinsen; Brynjulf Owren (Future Gener. Comput. Syst., 2003)

On the Implementation of Lie Group Methods on the Stiefel Manifold. - Elena Celledoni; Brynjulf Owren (Numer. Algorithms, 2003)

Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation. - Elena Celledoni; David Cohen; Brynjulf Owren (Found. Comput. Math., 2008)

Descent methods for optimization on homogeneous manifolds. - Elena Celledoni; Simone G. O. Fiori (Math. Comput. Simul., 2008)

The Exact Computation of the Free Rigid Body Motion and Its Use in Splitting Methods. - Elena Celledoni; Francesco Fassò; Niklas Säfström; Antonella Zanna (SIAM J. Sci. Comput., 2008)

Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems. - Elena Celledoni; Bawfeh Kingsley Kometa (J. Sci. Comput., 2009)

Energy-Preserving Integrators and the Structure of B-series. - Elena Celledoni; Robert I. McLachlan; Brynjulf Owren; G. R. W. Quispel (Found. Comput. Math., 2010)

Algorithm 903: FRB-Fortran routines for the exact computation of free rigid body motions. - Elena Celledoni; Antonella Zanna (ACM Trans. Math. Softw., 2010)

Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems. - Elena Celledoni; Bawfeh Kingsley Kometa (J. Comput. Phys., 2011)

Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method. - Elena Celledoni; Volker Grimm; Robert I. McLachlan; David I. McLaren; Dion R. J. O'Neale; Brynjulf Owren; G. R. W. Quispel (J. Comput. Phys., 2012)

An introduction to Lie group integrators - basics, new developments and applications. - Elena Celledoni; Håkon Marthinsen; Brynjulf Owren (J. Comput. Phys., 2014)

The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the averaged vector field method. - Elena Celledoni; Brynjulf Owren; Yajuan Sun (Math. Comput., 2014)

Shape Analysis on Lie Groups with Applications in Computer Animation. - Elena Celledoni; Markus Eslitzbichler (CoRR, 2015)

High Order Semi-Lagrangian Methods for the Incompressible Navier-Stokes Equations. - Elena Celledoni; Bawfeh Kingsley Kometa; Olivier Verdier (J. Sci. Comput., 2016)

Shape Analysis on Lie Groups and Homogeneous Spaces. - Elena Celledoni; Sølve Eidnes; Markus Eslitzbichler; Alexander Schmeding (GSI, 2017)

The averaged Lagrangian method. - Elena Celledoni; Eirik Hoel Høiseth (J. Comput. Appl. Math., 2017)

Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows. - Elena Celledoni; Sølve Eidnes; Brynjulf Owren; Torbjørn Ringholm (SIAM J. Sci. Comput., 2018)

Predicting Bending Moments with Machine Learning. - Elena Celledoni; Halvor S. Gustad; Nikita Kopylov; Henrik S. Sundklakk (GSI, 2019)

Signatures in Shape Analysis: An Efficient Approach to Motion Identification. - Elena Celledoni; Pål Erik Lystad; Nikolas Tapia (GSI, 2019)

Deep learning as optimal control problems: models and numerical methods. - Martin Benning; Elena Celledoni; Matthias J. Ehrhardt; Brynjulf Owren; Carola-Bibiane Schönlieb (CoRR, 2019)

Computational methods for tracking inertial particles in discrete incompressible flows. - Benjamin K. Tapley; Helge I. Andersson; Elena Celledoni; Brynjulf Owren (CoRR, 2019)

Energy-Preserving Integrators Applied to Nonholonomic Systems. - Elena Celledoni; Marta Farré Puiggalí; Eirik Hoel Høiseth; David Martín de Diego (J. Nonlinear Sci., 2019)

Krylov projection methods for linear Hamiltonian systems. - Lu Li; Elena Celledoni (Numer. Algorithms, 2019)

A novel approach to rigid spheroid models in viscous flows using operator splitting methods. - Benjamin K. Tapley; Elena Celledoni; Brynjulf Owren; Helge I. Andersson (Numer. Algorithms, 2019)

Structure preserving deep learning. - Elena Celledoni; Matthias J. Ehrhardt; Christian Etmann; Robert I. McLachlan; Brynjulf Owren; Carola-Bibiane Schönlieb; Ferdia Sherry (CoRR, 2020)

An integral model based on slender body theory, with applications to curved rigid fibers. - Helge I. Andersson; Elena Celledoni; Laurel Ohm; Brynjulf Owren; Benjamin K. Tapley (CoRR, 2020)

Energy-preserving methods on Riemannian manifolds. - Elena Celledoni; Sølve Eidnes; Brynjulf Owren; Torbjørn Ringholm (Math. Comput., 2020)

Equivariant neural networks for inverse problems. - Elena Celledoni; Matthias J. Ehrhardt; Christian Etmann; Brynjulf Owren; Carola-Bibiane Schönlieb; Ferdia Sherry (CoRR, 2021)

Dynamics of the N-fold Pendulum in the framework of Lie Group Integrators. - Elena Celledoni; Ergys Çokaj; Andrea Leone; Davide Murari; Brynjulf Owren (CoRR, 2021)

Numerical Solution of Differential and Differential-Algebraic Equations. Selected Papers from NUMDIFF-15. - Martin Arnold; Helmut Podhaisky; Rüdiger Weiner; Elena Celledoni; Jason Frank; Jens Lang 001 (J. Comput. Appl. Math., 2021)

Discrete conservation laws for finite element discretisations of multisymplectic PDEs. - Elena Celledoni; James Jackaman (J. Comput. Phys., 2021)

Deep learning of diffeomorphisms for optimal reparametrizations of shapes. - Elena Celledoni; Helge Glöckner; Jørgen Riseth; Alexander Schmeding (CoRR, 2022)

Lie group integrators for mechanical systems. - Elena Celledoni; Ergys Çokaj; Andrea Leone; Davide Murari; Brynjulf Owren (Int. J. Comput. Math., 2022)

Computational geometric methods for preferential clustering of particle suspensions. - Benjamin K. Tapley; Helge I. Andersson; Elena Celledoni; Brynjulf Owren (J. Comput. Phys., 2022)

Learning Dynamical Systems from Noisy Data with Inverse-Explicit Integrators. - Håkon Noren; Sølve Eidnes; Elena Celledoni (CoRR, 2023)

Designing Stable Neural Networks using Convex Analysis and ODEs. - Ferdia Sherry; Elena Celledoni; Matthias J. Ehrhardt; Davide Murari; Brynjulf Owren; Carola-Bibiane Schönlieb (CoRR, 2023)

B-stability of numerical integrators on Riemannian manifolds. - Martin Arnold; Elena Celledoni; Ergys Çokaj; Brynjulf Owren; Denise Tumiotto (CoRR, 2023)

Neural networks for the approximation of Euler's elastica. - Elena Celledoni; Ergys Çokaj; Andrea Leone; Sigrid Leyendecker; Davide Murari; Brynjulf Owren; Rodrigo Takuro Sato Martín de Almagro; Martina Stavole (CoRR, 2023)

Numerical solution of differential and differential-algebraic equations. Selected papers from NUMDIFF-16. - Martin Arnold; Maren Hantke; Raphael Kruse; Helmut Podhaisky; Elena Celledoni; Jason Frank; Jens Lang 001 (J. Comput. Appl. Math., 2023)

Learning Hamiltonians of constrained mechanical systems. - Elena Celledoni; Andrea Leone; Davide Murari; Brynjulf Owren (J. Comput. Appl. Math., 2023)

Using aromas to search for preserved measures and integrals in Kahan's method. - Geir Bogfjellmo; Elena Celledoni; Robert I. McLachlan; Brynjulf Owren; Reinout Quispel (Math. Comput., 2023)

Dynamical Systems-Based Neural Networks. - Elena Celledoni; Davide Murari; Brynjulf Owren; Carola-Bibiane Schönlieb; Ferdia Sherry (SIAM J. Sci. Comput., 2023)

Predictions based on pixel data: Insights from PDEs and finite differences. - Elena Celledoni; James Jackaman; Davide Murari; Brynjulf Owren (J. Comput. Phys., 2025)

Conditional Stability of the Euler Method on Riemannian Manifolds. - Marta Ghirardelli; Brynjulf Owren; Elena Celledoni (CoRR, 2025)

Approximation properties of neural ODEs. - Arturo De Marinis; Davide Murari; Elena Celledoni; Nicola Guglielmi; Brynjulf Owren; Francesco Tudisco (CoRR, 2025)

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics. - Martine Dyring Hansen; Elena Celledoni; Benjamin K. Tapley (CoRR, 2025)