Elena Celledoni

Benjamin K. Tapley

CoRR, May, 2025

Approximation properties of neural ODEs.

[BibT_eX]

[DOI]

CoRR, March, 2025

Conditional Stability of the Euler Method on Riemannian Manifolds.

[BibT_eX]

[DOI]

Marta Ghirardelli

CoRR, March, 2025

Predictions based on pixel data: Insights from PDEs and finite differences.

[BibT_eX]

[DOI]

J. Comput. Phys., 2025

2023

Dynamical Systems-Based Neural Networks.

[BibT_eX]

[DOI]

Davide Murari

Rodrigo Takuro Sato Martín de Almagro

Ferdia Sherry

SIAM J. Sci. Comput., June, 2023

Using aromas to search for preserved measures and integrals in Kahan's method.

[BibT_eX]

[DOI]

Math. Comput., 2023

Learning Hamiltonians of constrained mechanical systems.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2023

Numerical solution of differential and differential-algebraic equations. Selected papers from NUMDIFF-16.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2023

Neural networks for the approximation of Euler's elastica.

[BibT_eX]

[DOI]

Martina Stavole

CoRR, 2023

B-stability of numerical integrators on Riemannian manifolds.

[BibT_eX]

[DOI]

CoRR, 2023

Designing Stable Neural Networks using Convex Analysis and ODEs.

[BibT_eX]

[DOI]

CoRR, 2023

Learning Dynamical Systems from Noisy Data with Inverse-Explicit Integrators.

[BibT_eX]

[DOI]

Håkon Noren

Sølve Eidnes

CoRR, 2023

2022

Computational geometric methods for preferential clustering of particle suspensions.

[BibT_eX]

[DOI]

J. Comput. Phys., 2022

Lie group integrators for mechanical systems.

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2022

Deep learning of diffeomorphisms for optimal reparametrizations of shapes.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Discrete conservation laws for finite element discretisations of multisymplectic PDEs.

[BibT_eX]

[DOI]

James Jackaman

J. Comput. Phys., 2021

Numerical Solution of Differential and Differential-Algebraic Equations. Selected Papers from NUMDIFF-15.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2021

Dynamics of the N-fold Pendulum in the framework of Lie Group Integrators.

[BibT_eX]

[DOI]

CoRR, 2021

Equivariant neural networks for inverse problems.

[BibT_eX]

[DOI]

Ferdia Sherry

CoRR, 2021

2020

Energy-preserving methods on Riemannian manifolds.

[BibT_eX]

[DOI]

Math. Comput., 2020

An integral model based on slender body theory, with applications to curved rigid fibers.

[BibT_eX]

[DOI]

CoRR, 2020

Structure preserving deep learning.

[BibT_eX]

[DOI]

Ferdia Sherry

CoRR, 2020

2019

A novel approach to rigid spheroid models in viscous flows using operator splitting methods.

[BibT_eX]

[DOI]

Numer. Algorithms, 2019

Krylov projection methods for linear Hamiltonian systems.

[BibT_eX]

[DOI]

Lu Li

Numer. Algorithms, 2019

Energy-Preserving Integrators Applied to Nonholonomic Systems.

[BibT_eX]

[DOI]

Marta Farré Puiggalí

Eirik Hoel Høiseth

David Martín de Diego

J. Nonlinear Sci., 2019

Computational methods for tracking inertial particles in discrete incompressible flows.

[BibT_eX]

[DOI]

CoRR, 2019

Deep learning as optimal control problems: models and numerical methods.

[BibT_eX]

[DOI]

CoRR, 2019

Signatures in Shape Analysis: An Efficient Approach to Motion Identification.

[BibT_eX]

[DOI]

Pål Erik Lystad

Nikolas Tapia

Proceedings of the Geometric Science of Information - 4th International Conference, 2019

Predicting Bending Moments with Machine Learning.

[BibT_eX]

[DOI]

Proceedings of the Geometric Science of Information - 4th International Conference, 2019

2018

Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2018

2017

The averaged Lagrangian method.

[BibT_eX]

[DOI]

Eirik Hoel Høiseth

J. Comput. Appl. Math., 2017

Shape Analysis on Lie Groups and Homogeneous Spaces.

[BibT_eX]

[DOI]

Proceedings of the Geometric Science of Information - Third International Conference, 2017

2016

High Order Semi-Lagrangian Methods for the Incompressible Navier-Stokes Equations.

[BibT_eX]

[DOI]

Bawfeh Kingsley Kometa

Olivier Verdier

J. Sci. Comput., 2016

2015

Shape Analysis on Lie Groups with Applications in Computer Animation.

[BibT_eX]

[DOI]

Markus Eslitzbichler

CoRR, 2015

2014

The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the averaged vector field method.

[BibT_eX]

[DOI]

Yajuan Sun

Math. Comput., 2014

An introduction to Lie group integrators - basics, new developments and applications.

[BibT_eX]

[DOI]

Håkon Marthinsen

J. Comput. Phys., 2014

2012

Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method.

[BibT_eX]

[DOI]

J. Comput. Phys., 2012

2011

Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems.

[BibT_eX]

[DOI]

Bawfeh Kingsley Kometa

J. Comput. Phys., 2011

2010

Algorithm 903: FRB-Fortran routines for the exact computation of free rigid body motions.

[BibT_eX]

[DOI]

Antonella Zanna

ACM Trans. Math. Softw., 2010

Energy-Preserving Integrators and the Structure of B-series.

[BibT_eX]

[DOI]

Found. Comput. Math., 2010

2009

Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems.

[BibT_eX]

[DOI]

Bawfeh Kingsley Kometa

J. Sci. Comput., 2009

2008

The Exact Computation of the Free Rigid Body Motion and Its Use in Splitting Methods.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2008

Descent methods for optimization on homogeneous manifolds.

[BibT_eX]

[DOI]

Simone G. O. Fiori

Math. Comput. Simul., 2008

Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation.

[BibT_eX]

[DOI]

David Cohen

Found. Comput. Math., 2008

2003

On the Implementation of Lie Group Methods on the Stiefel Manifold.

[BibT_eX]

[DOI]

Numer. Algorithms, 2003

Commutator-free Lie group methods.

[BibT_eX]

[DOI]

Arne Marthinsen

Future Gener. Comput. Syst., 2003

2002

A Class of Intrinsic Schemes for Orthogonal Integration.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2002

Complexity Theory for Lie-Group Solvers.

[BibT_eX]

[DOI]

J. Complex., 2002

2000

Approximating the exponential from a Lie algebra to a Lie group.

[BibT_eX]

[DOI]