Ernst Hairer

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Reversible Long-Term Integration with Variable Stepsizes

Ernst Hairer, Daniel Stoffer, E. Hairer, 1997, SIAM J. Sci. Comput..

Analysis by Its History

Ernst Hairer, Gerhard Wanner, 1996 .

Foundations of Computational Mathematics, Santander 2005: Long-time Energy Conservation

Ernst Hairer, 2006 .

Numerical methods for evolutionary differential equations

Ernst Hairer, E. Hairer, 2010, Math. Comput..

Symmetric multistep methods for constrained Hamiltonian systems

Ernst Hairer, Christian Lubich, Paola Console, 2013, Numerische Mathematik.

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

Ernst Hairer, David Cohen, Christian Lubich, 2008, Numerische Mathematik.

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

Ernst Hairer, Raffaele D'Ambrosio, E. Hairer, 2014, J. Sci. Comput..

Multistep-multistage-multiderivative methods for ordinary differential equations

Ernst Hairer, Gerhard Wanner, E. Hairer, 1973, Computing.

Stiff delay equations

Ernst Hairer, Nicola Guglielmi, E. Hairer, 2007, Scholarpedia.

Numerical Stability in the Presence of Variable Coefficients

Ernst Hairer, Arieh Iserles, E. Hairer, 2016, Found. Comput. Math..

Global modified Hamiltonian for constrained symplectic integrators

Ernst Hairer, E. Hairer, 2003, Numerische Mathematik.

Implementing Radau IIA Methods for Stiff Delay Differential Equations

Ernst Hairer, Nicola Guglielmi, E. Hairer, 2001, Computing.

Numerical integrators based on modified differential equations

Ernst Hairer, Philippe Chartier, Gilles Vilmart, 2007, Math. Comput..

Important Aspects of Geometric Numerical Integration

Ernst Hairer, E. Hairer, 2005, J. Sci. Comput..

Analysis for parareal algorithms applied to Hamiltonian differential equations

Martin J. Gander, Ernst Hairer, E. Hairer, 2014, J. Comput. Appl. Math..

Explicit, Time Reversible, Adaptive Step Size Control

Ernst Hairer, Gustaf Söderlind, E. Hairer, 2005, SIAM J. Sci. Comput..

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

Ernst Hairer, Chantal Landry, Alexandre Caboussat, 2009, SIAM J. Sci. Comput..

Reducing round-off errors in symmetric multistep methods

Ernst Hairer, Paola Console, E. Hairer, 2014, J. Comput. Appl. Math..

Computing breaking points in implicit delay differential equations

Ernst Hairer, Nicola Guglielmi, E. Hairer, 2008, Adv. Comput. Math..

On the Butcher group and general multi-value methods

Ernst Hairer, Gerhard Wanner, E. Hairer, 1974, Computing.

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

Ernst Hairer, Christian Lubich, E. Hairer, 2000, SIAM J. Numer. Anal..

Linear multistep method

Ernst Hairer, Gerhard Wanner, 2010, Scholarpedia.

Order stars and stability for delay differential equations

Ernst Hairer, Nicola Guglielmi, E. Hairer, 1999, Numerische Mathematik.

Backward error analysis for multistep methods

Ernst Hairer, E. Hairer, 1999, Numerische Mathematik.

Numerical approaches for state-dependent neutral delay equations with discontinuities

Ernst Hairer, Nicola Guglielmi, E. Hairer, 2014, Math. Comput. Simul..

Classification of Hidden Dynamics in Discontinuous Dynamical Systems

Ernst Hairer, Nicola Guglielmi, E. Hairer, 2015, SIAM J. Appl. Dyn. Syst..

Algebraic Structures of B-series

Ernst Hairer, Philippe Chartier, Gilles Vilmart, 2010, Found. Comput. Math..

Modulated Fourier Expansions of Highly Oscillatory Differential Equations

Ernst Hairer, David Cohen, Christian Lubich, 2003, Found. Comput. Math..

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

Ernst Hairer, Christian Lubich, E. Hairer, 2016, Numerische Mathematik.

Modified differential equations

Ernst Hairer, Philippe Chartier, Gilles Vilmart, 2007 .

Symmetric multistep methods over long times

Ernst Hairer, Christian Lubich, E. Hairer, 2004, Numerische Mathematik.

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

Ernst Hairer, Christian Lubich, E. Hairer, 2008, Foundations of Computational Mathematics.

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

Ernst Hairer, D. Hernández-Abreu, S. González-Pinto, 2020, SIAM J. Numer. Anal..

Simulating Hamiltonian dynamics

Ernst Hairer, Gerhard Wanner, E. Hairer, 2006, Math. Comput..

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

Bin Wang, Ernst Hairer, Christian Lubich, 2019, Numerische Mathematik.

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

Ernst Hairer, Nicola Guglielmi, 2016, J. Comput. Appl. Math..

Asymptotic Expansions for Regularized State-Dependent Neutral Delay Equations

Ernst Hairer, Nicola Guglielmi, E. Hairer, 2012, SIAM J. Math. Anal..

Méthodes de Nyström pour l'équation différentielley″=f(x, y)

Ernst Hairer, 1976 .