Ernst Hairer

Publication Activity (10 Years)

Years Active: 1973-2024
Publications (10 Years): 17

Top Topics

Differential Equations

Difficult Problems

Dynamical Systems

Top Venues

J. Comput. Appl. Math.

Numerische Mathematik

Numer. Algorithms

Publications

Nicola Guglielmi, Ernst Hairer
Applying stiff integrators for ODEs and DDEs to problems with distributed delays. CoRR (2024)
Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu
High order PDE-convergence of AMF-W methods for 2D-linear parabolic problems. J. Comput. Appl. Math. 417 (2023)
Ernst Hairer, Christian Lubich, Yanyan Shi
Leapfrog methods for relativistic charged-particle dynamics. CoRR (2023)
Ernst Hairer, Christian Lubich, Yanyan Shi
Leapfrog Methods for Relativistic Charged-Particle Dynamics. SIAM J. Numer. Anal. 61 (6) (2023)
Nicola Guglielmi, Ernst Hairer
Sliding modes of high codimension in piecewise-smooth dynamical systems. Numer. Algorithms 94 (1) (2023)
Ernst Hairer, Christian Lubich, Yanyan Shi
Large-stepsize integrators for charged-particle dynamics over multiple time scales. Numerische Mathematik 151 (3) (2022)
Nicola Guglielmi, Ernst Hairer
An efficient algorithm for solving piecewise-smooth dynamical systems. Numer. Algorithms 89 (3) (2022)
Ernst Hairer, Christian Lubich, Yanyan Shi
Large-stepsize integrators for charged-particle dynamics over multiple time scales. CoRR (2021)
Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu
Norm of One-Stage AMF-W-Methods for Parabolic Problems. SIAM J. Numer. Anal. 58 (2) (2020)
Ernst Hairer, Christian Lubich, Bin Wang
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Numerische Mathematik 144 (4) (2020)
Ernst Hairer, Christian Lubich
Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. Numerische Mathematik 144 (3) (2020)
Ernst Hairer, Christian Lubich, Bin Wang
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. CoRR (2019)
Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu, S. Pérez-Rodríguez
AMF-type W-methods for Parabolic Problems with Mixed Derivatives. SIAM J. Sci. Comput. 40 (5) (2018)
Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu, S. Pérez-Rodríguez
PDE-W-methods for parabolic problems with mixed derivatives. Numer. Algorithms 78 (3) (2018)
Ernst Hairer, Arieh Iserles
Numerical Stability in the Presence of Variable Coefficients. Found. Comput. Math. 16 (3) (2016)
Nicola Guglielmi, Ernst Hairer
Path-regularization of linear neutral delay differential equations with several delays. J. Comput. Appl. Math. 292 (2016)
Ernst Hairer, Christian Lubich
Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency. Numerische Mathematik 134 (1) (2016)
Nicola Guglielmi, Ernst Hairer
Classification of Hidden Dynamics in Discontinuous Dynamical Systems. SIAM J. Appl. Dyn. Syst. 14 (3) (2015)
Paola Console, Ernst Hairer
Reducing round-off errors in symmetric multistep methods. J. Comput. Appl. Math. 262 (2014)
Nicola Guglielmi, Ernst Hairer
Numerical approaches for state-dependent neutral delay equations with discontinuities. Math. Comput. Simul. 95 (2014)
Raffaele D'Ambrosio, Ernst Hairer
Long-Term Stability of Multi-Value Methods for Ordinary Differential Equations. J. Sci. Comput. 60 (3) (2014)
Martin J. Gander, Ernst Hairer
Analysis for parareal algorithms applied to Hamiltonian differential equations. J. Comput. Appl. Math. 259 (2014)
Paola Console, Ernst Hairer, Christian Lubich
Symmetric multistep methods for constrained Hamiltonian systems. Numerische Mathematik 124 (3) (2013)
Nicola Guglielmi, Ernst Hairer
Asymptotic Expansions for Regularized State-Dependent Neutral Delay Equations. SIAM J. Math. Anal. 44 (4) (2012)
Ernst Hairer
Numerical methods for evolutionary differential equations. Math. Comput. 79 (269) (2010)
Philippe Chartier, Ernst Hairer, Gilles Vilmart
Algebraic Structures of B-series. Found. Comput. Math. 10 (4) (2010)
Ernst Hairer, Gerhard Wanner
Linear multistep method. Scholarpedia 5 (4) (2010)
Chantal Landry, Alexandre Caboussat, Ernst Hairer
Solving Optimization-Constrained Differential Equations with Discontinuity Points, with Application to Atmospheric Chemistry. SIAM J. Sci. Comput. 31 (5) (2009)
Ernst Hairer, Christian Lubich
Spectral Semi-discretisations of Weakly Non-linear Wave Equations over Long Times. Found. Comput. Math. 8 (3) (2008)
David Cohen, Ernst Hairer, Christian Lubich
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations. Numerische Mathematik 110 (2) (2008)
Nicola Guglielmi, Ernst Hairer
Computing breaking points in implicit delay differential equations. Adv. Comput. Math. 29 (3) (2008)
Nicola Guglielmi, Ernst Hairer
Stiff delay equations. Scholarpedia 2 (11) (2007)
Philippe Chartier, Ernst Hairer, Gilles Vilmart
Numerical integrators based on modified differential equations. Math. Comput. 76 (260) (2007)
Ernst Hairer, Gerhard Wanner
Simulating Hamiltonian dynamics. Math. Comput. 75 (253) (2006)
Ernst Hairer
Important Aspects of Geometric Numerical Integration. J. Sci. Comput. 25 (1-2) (2005)
Ernst Hairer, Gustaf Söderlind
Explicit, Time Reversible, Adaptive Step Size Control. SIAM J. Sci. Comput. 26 (6) (2005)
Ernst Hairer, Christian Lubich
Symmetric multistep methods over long times. Numerische Mathematik 97 (4) (2004)
Ernst Hairer
Global modified Hamiltonian for constrained symplectic integrators. Numerische Mathematik 95 (2) (2003)
David Cohen, Ernst Hairer, Christian Lubich
Modulated Fourier Expansions of Highly Oscillatory Differential Equations. Found. Comput. Math. 3 (4) (2003)
Nicola Guglielmi, Ernst Hairer
Implementing Radau IIA Methods for Stiff Delay Differential Equations. Computing 67 (1) (2001)
Ernst Hairer, Christian Lubich
Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations. SIAM J. Numer. Anal. 38 (2) (2000)
Nicola Guglielmi, Ernst Hairer
Order stars and stability for delay differential equations. Numerische Mathematik 83 (3) (1999)
Ernst Hairer
Backward error analysis for multistep methods. Numerische Mathematik 84 (2) (1999)
Ernst Hairer, Daniel Stoffer
Reversible Long-Term Integration with Variable Stepsizes. SIAM J. Sci. Comput. 18 (1) (1997)
Ernst Hairer, Gerhard Wanner
On the Butcher group and general multi-value methods. Computing 13 (1) (1974)
Ernst Hairer, Gerhard Wanner
Multistep-multistage-multiderivative methods for ordinary differential equations. Computing 11 (3) (1973)