Ernst Hairer

According to our database, Ernst Hairer authored at least 43 papers between 1973 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

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

Nicola Guglielmi, Ernst Hairer

CoRR, 2024

2023

Leapfrog Methods for Relativistic Charged-Particle Dynamics.

Ernst Hairer, Christian Lubich, Yanyan Shi

SIAM J. Numer. Anal., December, 2023

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

Nicola Guglielmi, Ernst Hairer

Numer. Algorithms, September, 2023

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

Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu

J. Comput. Appl. Math., 2023

2022

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

Ernst Hairer, Christian Lubich, Yanyan Shi

Numerische Mathematik, 2022

An efficient algorithm for solving piecewise-smooth dynamical systems.

Nicola Guglielmi, Ernst Hairer

Numer. Algorithms, 2022

2020

Convergence in ℓ₂ and ℓ_∞ Norm of One-Stage AMF-W-Methods for Parabolic Problems.

Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu

SIAM J. Numer. Anal., 2020

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

Ernst Hairer, Christian Lubich, Bin Wang

Numerische Mathematik, 2020

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

Ernst Hairer, Christian Lubich

Numerische Mathematik, 2020

2018

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

Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu, S. Pérez-Rodríguez

SIAM J. Sci. Comput., 2018

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

Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu, S. Pérez-Rodríguez

Numer. Algorithms, 2018

2016

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

Ernst Hairer, Christian Lubich

Numerische Mathematik, 2016

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

Nicola Guglielmi, Ernst Hairer

J. Comput. Appl. Math., 2016

Numerical Stability in the Presence of Variable Coefficients.

Ernst Hairer, Arieh Iserles

Found. Comput. Math., 2016

2015

Classification of Hidden Dynamics in Discontinuous Dynamical Systems.

Nicola Guglielmi, Ernst Hairer

SIAM J. Appl. Dyn. Syst., 2015

2014

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

Nicola Guglielmi, Ernst Hairer

Math. Comput. Simul., 2014

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

Raffaele D'Ambrosio, Ernst Hairer

J. Sci. Comput., 2014

Analysis for parareal algorithms applied to Hamiltonian differential equations.

Martin J. Gander, Ernst Hairer

J. Comput. Appl. Math., 2014

Reducing round-off errors in symmetric multistep methods.

Paola Console, Ernst Hairer

J. Comput. Appl. Math., 2014

2013

Symmetric multistep methods for constrained Hamiltonian systems.

Paola Console, Ernst Hairer, Christian Lubich

Numerische Mathematik, 2013

2012

Asymptotic Expansions for Regularized State-Dependent Neutral Delay Equations.

Nicola Guglielmi, Ernst Hairer

SIAM J. Math. Anal., 2012

2010

Linear multistep method.

Ernst Hairer, Gerhard Wanner

Scholarpedia, 2010

Numerical methods for evolutionary differential equations.

Ernst Hairer

Math. Comput., 2010

Algebraic Structures of B-series.

Philippe Chartier, Ernst Hairer, Gilles Vilmart

Found. Comput. Math., 2010

2009

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

Chantal Landry, Alexandre Caboussat, Ernst Hairer

SIAM J. Sci. Comput., 2009

2008

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

David Cohen, Ernst Hairer, Christian Lubich

Numerische Mathematik, 2008

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

Ernst Hairer, Christian Lubich

Found. Comput. Math., 2008

Computing breaking points in implicit delay differential equations.

Nicola Guglielmi, Ernst Hairer

Adv. Comput. Math., 2008

2007

Stiff delay equations.

Nicola Guglielmi, Ernst Hairer

Scholarpedia, 2007

Numerical integrators based on modified differential equations.

Philippe Chartier, Ernst Hairer, Gilles Vilmart

Math. Comput., 2007

2006

Simulating Hamiltonian dynamics.

Ernst Hairer, Gerhard Wanner

Math. Comput., 2006

2005

Explicit, Time Reversible, Adaptive Step Size Control.

Ernst Hairer, Gustaf Söderlind

SIAM J. Sci. Comput., 2005

Important Aspects of Geometric Numerical Integration.

Ernst Hairer

J. Sci. Comput., 2005

2004

Symmetric multistep methods over long times.

Ernst Hairer, Christian Lubich

Numerische Mathematik, 2004

2003

Global modified Hamiltonian for constrained symplectic integrators.

Ernst Hairer

Numerische Mathematik, 2003

Modulated Fourier Expansions of Highly Oscillatory Differential Equations.

David Cohen, Ernst Hairer, Christian Lubich

Found. Comput. Math., 2003

2001

Implementing Radau IIA Methods for Stiff Delay Differential Equations.

Nicola Guglielmi, Ernst Hairer

Computing, 2001

2000

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

Ernst Hairer, Christian Lubich

SIAM J. Numer. Anal., 2000

1999

Backward error analysis for multistep methods.

Ernst Hairer

Numerische Mathematik, 1999

Order stars and stability for delay differential equations.

Nicola Guglielmi, Ernst Hairer

Numerische Mathematik, 1999

1997

Reversible Long-Term Integration with Variable Stepsizes.

Ernst Hairer, Daniel Stoffer

SIAM J. Sci. Comput., 1997

1974

On the Butcher group and general multi-value methods.

Ernst Hairer, Gerhard Wanner

Computing, 1974

1973

Multistep-multistage-multiderivative methods for ordinary differential equations.

Ernst Hairer, Gerhard Wanner

Computing, 1973