Ernst Hairer

SIAM J. Sci. Comput., 2025

2024

Applying stiff integrators for ODEs and DDEs to problems with distributed delays.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Leapfrog Methods for Relativistic Charged-Particle Dynamics.

[BibT_eX]

[DOI]

Yanyan Shi

SIAM J. Numer. Anal., December, 2023

Sliding modes of high codimension in piecewise-smooth dynamical systems.

[BibT_eX]

[DOI]

Numer. Algorithms, September, 2023

High order PDE-convergence of AMF-W methods for 2D-linear parabolic problems.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2023

2022

Large-stepsize integrators for charged-particle dynamics over multiple time scales.

[BibT_eX]

[DOI]

Yanyan Shi

Numerische Mathematik, 2022

An efficient algorithm for solving piecewise-smooth dynamical systems.

[BibT_eX]

[DOI]

Numer. Algorithms, 2022

2020

Convergence in ℓ<sub>2</sub> and ℓ<sub>∞</sub> Norm of One-Stage AMF-W-Methods for Parabolic Problems.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2020

A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field.

[BibT_eX]

[DOI]

Bin Wang

Numerische Mathematik, 2020

Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field.

[BibT_eX]

[DOI]

Numerische Mathematik, 2020

2018

AMF-type W-methods for Parabolic Problems with Mixed Derivatives.

[BibT_eX]

[DOI]

Soledad Pérez-Rodríguez

SIAM J. Sci. Comput., 2018

PDE-W-methods for parabolic problems with mixed derivatives.

[BibT_eX]

[DOI]

Soledad Pérez-Rodríguez

Numer. Algorithms, 2018

2016

Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency.

[BibT_eX]

[DOI]

Numerische Mathematik, 2016

Path-regularization of linear neutral delay differential equations with several delays.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2016

Numerical Stability in the Presence of Variable Coefficients.

[BibT_eX]

[DOI]

Arieh Iserles

Found. Comput. Math., 2016

2015

Classification of Hidden Dynamics in Discontinuous Dynamical Systems.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2015

2014

Numerical approaches for state-dependent neutral delay equations with discontinuities.

[BibT_eX]

[DOI]

Math. Comput. Simul., 2014

Long-Term Stability of Multi-Value Methods for Ordinary Differential Equations.

[BibT_eX]

[DOI]

Raffaele D'Ambrosio

J. Sci. Comput., 2014

Analysis for parareal algorithms applied to Hamiltonian differential equations.

[BibT_eX]

[DOI]

Martin J. Gander

J. Comput. Appl. Math., 2014

Reducing round-off errors in symmetric multistep methods.

[BibT_eX]

[DOI]

Paola Console

J. Comput. Appl. Math., 2014

2013

Symmetric multistep methods for constrained Hamiltonian systems.

[BibT_eX]

[DOI]

Paola Console

Numerische Mathematik, 2013

2012

Asymptotic Expansions for Regularized State-Dependent Neutral Delay Equations.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2012

2010

Linear multistep method.

[BibT_eX]

[DOI]

Scholarpedia, 2010

Numerical methods for evolutionary differential equations.

[BibT_eX]

[DOI]

Math. Comput., 2010

Algebraic Structures of B-series.

[BibT_eX]

[DOI]

Philippe Chartier

Gilles Vilmart

Found. Comput. Math., 2010

2009

Solving Optimization-Constrained Differential Equations with Discontinuity Points, with Application to Atmospheric Chemistry.

[BibT_eX]

[DOI]

Chantal Landry

Alexandre Caboussat

SIAM J. Sci. Comput., 2009

2008

Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations.

[BibT_eX]

[DOI]

David Cohen

Numerische Mathematik, 2008

Spectral Semi-discretisations of Weakly Non-linear Wave Equations over Long Times.

[BibT_eX]

[DOI]

Found. Comput. Math., 2008

Computing breaking points in implicit delay differential equations.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2008

2007

Stiff delay equations.

[BibT_eX]

[DOI]

Scholarpedia, 2007

Numerical integrators based on modified differential equations.

[BibT_eX]

[DOI]

Philippe Chartier

Gilles Vilmart

Math. Comput., 2007

2006

Simulating Hamiltonian dynamics.

[BibT_eX]

[DOI]

Math. Comput., 2006

2005

Explicit, Time Reversible, Adaptive Step Size Control.

[BibT_eX]

[DOI]

Gustaf Söderlind

SIAM J. Sci. Comput., 2005

Important Aspects of Geometric Numerical Integration.

[BibT_eX]

[DOI]

J. Sci. Comput., 2005

2004

Symmetric multistep methods over long times.

[BibT_eX]

[DOI]

Numerische Mathematik, 2004

2003

Global modified Hamiltonian for constrained symplectic integrators.

[BibT_eX]

[DOI]

Numerische Mathematik, 2003

Modulated Fourier Expansions of Highly Oscillatory Differential Equations.

[BibT_eX]

[DOI]

David Cohen

Found. Comput. Math., 2003

2001

Implementing Radau IIA Methods for Stiff Delay Differential Equations.

[BibT_eX]

[DOI]

Computing, 2001

2000

Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2000

1999

Backward error analysis for multistep methods.

[BibT_eX]

[DOI]

Numerische Mathematik, 1999

Order stars and stability for delay differential equations.

[BibT_eX]

[DOI]

Numerische Mathematik, 1999

1997

Reversible Long-Term Integration with Variable Stepsizes.

[BibT_eX]

[DOI]

Daniel Stoffer

SIAM J. Sci. Comput., 1997

1974

On the Butcher group and general multi-value methods.

[BibT_eX]

[DOI]

Computing, 1974

1973

Multistep-multistage-multiderivative methods for ordinary differential equations.

[BibT_eX]

[DOI]