Elena Celledoni

Publication Activity (10 Years)

Years Active: 2000-2023
Publications (10 Years): 37

Top Topics

Lagrangian Method

Dynamical Systems

Selected Papers

Top Venues

J. Comput. Appl. Math.

J. Comput. Phys.

Publications

Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, Reinout Quispel
Using aromas to search for preserved measures and integrals in Kahan's method. Math. Comput. 93 (348) (2023)
Martin Arnold, Maren Hantke, Raphael Kruse, Helmut Podhaisky, Elena Celledoni, Jason Frank, Jens Lang
Numerical solution of differential and differential-algebraic equations. Selected papers from NUMDIFF-16. J. Comput. Appl. Math. 430 (2023)
Elena Celledoni, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
Dynamical Systems-Based Neural Networks. SIAM J. Sci. Comput. 45 (6) (2023)
Håkon Noren, Sølve Eidnes, Elena Celledoni
Learning Dynamical Systems from Noisy Data with Inverse-Explicit Integrators. CoRR (2023)
Elena Celledoni, James Jackaman, Davide Murari, Brynjulf Owren
Predictions Based on Pixel Data: Insights from PDEs and Finite Differences. CoRR (2023)
Martin Arnold, Elena Celledoni, Ergys Çokaj, Brynjulf Owren, Denise Tumiotto
B-stability of numerical integrators on Riemannian manifolds. CoRR (2023)
Elena Celledoni, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
Dynamical Systems-Based Neural Networks. SIAM J. Sci. Comput. 45 (3) (2023)
Ferdia Sherry, Elena Celledoni, Matthias J. Ehrhardt, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb
Designing Stable Neural Networks using Convex Analysis and ODEs. CoRR (2023)
Elena Celledoni, Andrea Leone, Davide Murari, Brynjulf Owren
Learning Hamiltonians of constrained mechanical systems. J. Comput. Appl. Math. 417 (2023)
Elena Celledoni, Ergys Çokaj, Andrea Leone, Sigrid Leyendecker, Davide Murari, Brynjulf Owren, Rodrigo Takuro Sato Martín de Almagro, Martina Stavole
Neural networks for the approximation of Euler's elastica. CoRR (2023)
Elena Celledoni, Andrea Leone, Davide Murari, Brynjulf Owren
Learning Hamiltonians of constrained mechanical systems. CoRR (2022)
Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, Reinout Quispel
Using aromas to search for preserved measures and integrals in Kahan's method. CoRR (2022)
Elena Celledoni, Helge Glöckner, Jørgen Riseth, Alexander Schmeding
Deep learning of diffeomorphisms for optimal reparametrizations of shapes. CoRR (2022)
Elena Celledoni, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
Dynamical systems' based neural networks. CoRR (2022)
Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari, Brynjulf Owren
Lie group integrators for mechanical systems. Int. J. Comput. Math. 99 (1) (2022)
Benjamin K. Tapley, Helge I. Andersson, Elena Celledoni, Brynjulf Owren
Computational geometric methods for preferential clustering of particle suspensions. J. Comput. Phys. 448 (2022)
Elena Celledoni, Matthias J. Ehrhardt, Christian Etmann, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
Equivariant neural networks for inverse problems. CoRR (2021)
Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari, Brynjulf Owren
Lie Group integrators for mechanical systems. CoRR (2021)
Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari, Brynjulf Owren
Dynamics of the N-fold Pendulum in the framework of Lie Group Integrators. CoRR (2021)
Martin Arnold, Helmut Podhaisky, Rüdiger Weiner, Elena Celledoni, Jason Frank, Jens Lang
Numerical Solution of Differential and Differential-Algebraic Equations. Selected Papers from NUMDIFF-15. J. Comput. Appl. Math. 387 (2021)
Elena Celledoni, James Jackaman
Discrete conservation laws for finite element discretisations of multisymplectic PDEs. J. Comput. Phys. 444 (2021)
Elena Celledoni, James Jackaman
Discrete conservation laws for finite element discretisations of multisymplectic PDEs. CoRR (2020)
Elena Celledoni, Matthias J. Ehrhardt, Christian Etmann, Robert I. McLachlan, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
Structure preserving deep learning. CoRR (2020)
Elena Celledoni, Sølve Eidnes, Brynjulf Owren, Torbjørn Ringholm
Energy-preserving methods on Riemannian manifolds. Math. Comput. 89 (322) (2020)
Helge I. Andersson, Elena Celledoni, Laurel Ohm, Brynjulf Owren, Benjamin K. Tapley
An integral model based on slender body theory, with applications to curved rigid fibers. CoRR (2020)
Elena Celledoni, Pål Erik Lystad, Nikolas Tapia
Signatures in Shape Analysis: an Efficient Approach to Motion Identification. CoRR (2019)
Benjamin K. Tapley, Helge I. Andersson, Elena Celledoni, Brynjulf Owren
Computational methods for tracking inertial particles in discrete incompressible flows. CoRR (2019)
Elena Celledoni, Halvor S. Gustad, Nikita Kopylov, Henrik S. Sundklakk
Predicting Bending Moments with Machine Learning. GSI (2019)
Benjamin K. Tapley, Elena Celledoni, Brynjulf Owren, Helge I. Andersson
A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Numer. Algorithms 81 (4) (2019)
Lu Li, Elena Celledoni
Krylov projection methods for linear Hamiltonian systems. Numer. Algorithms 81 (4) (2019)
Elena Celledoni, Pål Erik Lystad, Nikolas Tapia
Signatures in Shape Analysis: An Efficient Approach to Motion Identification. GSI (2019)
Elena Celledoni, Marta Farré Puiggalí, Eirik Hoel Høiseth, David Martín de Diego
Energy-Preserving Integrators Applied to Nonholonomic Systems. J. Nonlinear Sci. 29 (4) (2019)
Martin Benning, Elena Celledoni, Matthias J. Ehrhardt, Brynjulf Owren, Carola-Bibiane Schönlieb
Deep learning as optimal control problems: models and numerical methods. CoRR (2019)
Elena Celledoni, Sølve Eidnes, Brynjulf Owren, Torbjørn Ringholm
Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows. SIAM J. Sci. Comput. 40 (6) (2018)
Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler, Alexander Schmeding
Shape Analysis on Lie Groups and Homogeneous Spaces. GSI (2017)
Elena Celledoni, Eirik Hoel Høiseth
The averaged Lagrangian method. J. Comput. Appl. Math. 316 (2017)
Elena Celledoni, Bawfeh Kingsley Kometa, Olivier Verdier
High Order Semi-Lagrangian Methods for the Incompressible Navier-Stokes Equations. J. Sci. Comput. 66 (1) (2016)
Elena Celledoni, Markus Eslitzbichler
Shape Analysis on Lie Groups with Applications in Computer Animation. CoRR (2015)
Elena Celledoni, Brynjulf Owren, Yajuan Sun
The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the averaged vector field method. Math. Comput. 83 (288) (2014)
Elena Celledoni, Håkon Marthinsen, Brynjulf Owren
An introduction to Lie group integrators - basics, new developments and applications. J. Comput. Phys. 257 (2014)
Elena Celledoni, Volker Grimm, Robert I. McLachlan, D. I. McLaren, Dion R. J. O'Neale, Brynjulf Owren, G. R. W. Quispel
Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method. J. Comput. Phys. 231 (20) (2012)
Elena Celledoni, Bawfeh Kingsley Kometa
Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems. J. Comput. Phys. 230 (9) (2011)
Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, G. R. W. Quispel
Energy-Preserving Integrators and the Structure of B-series. Found. Comput. Math. 10 (6) (2010)
Elena Celledoni, Antonella Zanna
Algorithm 903: FRB-Fortran routines for the exact computation of free rigid body motions. ACM Trans. Math. Softw. 37 (2) (2010)
Elena Celledoni, Bawfeh Kingsley Kometa
Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems. J. Sci. Comput. 41 (1) (2009)
Elena Celledoni, Francesco Fassò, Niklas Säfström, Antonella Zanna
The Exact Computation of the Free Rigid Body Motion and Its Use in Splitting Methods. SIAM J. Sci. Comput. 30 (4) (2008)
Elena Celledoni, Simone G. O. Fiori
Descent methods for optimization on homogeneous manifolds. Math. Comput. Simul. 79 (4) (2008)
Elena Celledoni, David Cohen, Brynjulf Owren
Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation. Found. Comput. Math. 8 (3) (2008)
Elena Celledoni, Arne Marthinsen, Brynjulf Owren
Commutator-free Lie group methods. Future Gener. Comput. Syst. 19 (3) (2003)
Elena Celledoni, Brynjulf Owren
On the Implementation of Lie Group Methods on the Stiefel Manifold. Numer. Algorithms 32 (2-4) (2003)
Elena Celledoni, Brynjulf Owren
A Class of Intrinsic Schemes for Orthogonal Integration. SIAM J. Numer. Anal. 40 (6) (2002)
Elena Celledoni, Arieh Iserles, Syvert P. Nørsett, Bojan Orel
Complexity Theory for Lie-Group Solvers. J. Complex. 18 (1) (2002)
Elena Celledoni, Arieh Iserles
Approximating the exponential from a Lie algebra to a Lie group. Math. Comput. 69 (232) (2000)