Multistep-multistage-multiderivative methods for ordinary differential equations. - Ernst Hairer; Gerhard Wanner (Computing, 1973)

On the Butcher group and general multi-value methods. - Ernst Hairer; Gerhard Wanner (Computing, 1974)

Reversible Long-Term Integration with Variable Stepsizes. - Ernst Hairer; Daniel Stoffer (SIAM J. Sci. Comput., 1997)

Order stars and stability for delay differential equations. - Nicola Guglielmi; Ernst Hairer (Numerische Mathematik, 1999)

Backward error analysis for multistep methods. - Ernst Hairer (Numerische Mathematik, 1999)

Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations. - Ernst Hairer; Christian Lubich (SIAM J. Numer. Anal., 2000)

Implementing Radau IIA Methods for Stiff Delay Differential Equations. - Nicola Guglielmi; Ernst Hairer (Computing, 2001)

Modulated Fourier Expansions of Highly Oscillatory Differential Equations. - David Cohen; Ernst Hairer; Christian Lubich (Found. Comput. Math., 2003)

Global modified Hamiltonian for constrained symplectic integrators. - Ernst Hairer (Numerische Mathematik, 2003)

Symmetric multistep methods over long times. - Ernst Hairer; Christian Lubich (Numerische Mathematik, 2004)

Important Aspects of Geometric Numerical Integration. - Ernst Hairer (J. Sci. Comput., 2005)

Explicit, Time Reversible, Adaptive Step Size Control. - Ernst Hairer; Gustaf Söderlind (SIAM J. Sci. Comput., 2005)

Simulating Hamiltonian dynamics. - Ernst Hairer; Gerhard Wanner (Math. Comput., 2006)

Numerical integrators based on modified differential equations. - Philippe Chartier; Ernst Hairer; Gilles Vilmart (Math. Comput., 2007)

Stiff delay equations. - Nicola Guglielmi; Ernst Hairer (Scholarpedia, 2007)

Computing breaking points in implicit delay differential equations. - Nicola Guglielmi; Ernst Hairer (Adv. Comput. Math., 2008)

Spectral Semi-discretisations of Weakly Non-linear Wave Equations over Long Times. - Ernst Hairer; Christian Lubich (Found. Comput. Math., 2008)

Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations. - David Cohen; Ernst Hairer; Christian Lubich (Numerische Mathematik, 2008)

Solving Optimization-Constrained Differential Equations with Discontinuity Points, with Application to Atmospheric Chemistry. - Chantal Landry; Alexandre Caboussat; Ernst Hairer (SIAM J. Sci. Comput., 2009)

Algebraic Structures of B-series. - Philippe Chartier; Ernst Hairer; Gilles Vilmart (Found. Comput. Math., 2010)

Numerical methods for evolutionary differential equations. - Ernst Hairer (Math. Comput., 2010)

Linear multistep method. - Ernst Hairer; Gerhard Wanner (Scholarpedia, 2010)

Asymptotic Expansions for Regularized State-Dependent Neutral Delay Equations. - Nicola Guglielmi; Ernst Hairer (SIAM J. Math. Anal., 2012)

Symmetric multistep methods for constrained Hamiltonian systems. - Paola Console; Ernst Hairer; Christian Lubich (Numerische Mathematik, 2013)

Reducing round-off errors in symmetric multistep methods. - Paola Console; Ernst Hairer (J. Comput. Appl. Math., 2014)

Analysis for parareal algorithms applied to Hamiltonian differential equations. - Martin J. Gander; Ernst Hairer (J. Comput. Appl. Math., 2014)

Long-Term Stability of Multi-Value Methods for Ordinary Differential Equations. - Raffaele D'Ambrosio; Ernst Hairer (J. Sci. Comput., 2014)

Numerical approaches for state-dependent neutral delay equations with discontinuities. - Nicola Guglielmi; Ernst Hairer (Math. Comput. Simul., 2014)

Classification of Hidden Dynamics in Discontinuous Dynamical Systems. - Nicola Guglielmi; Ernst Hairer (SIAM J. Appl. Dyn. Syst., 2015)

Numerical Stability in the Presence of Variable Coefficients. - Ernst Hairer; Arieh Iserles (Found. Comput. Math., 2016)

Path-regularization of linear neutral delay differential equations with several delays. - Nicola Guglielmi; Ernst Hairer (J. Comput. Appl. Math., 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)

PDE-W-methods for parabolic problems with mixed derivatives. - Severiano González-Pinto; Ernst Hairer; Domingo Hernández-Abreu; Soledad Pérez-Rodríguez (Numer. Algorithms, 2018)

AMF-type W-methods for Parabolic Problems with Mixed Derivatives. - Severiano González-Pinto; Ernst Hairer; Domingo Hernández-Abreu; Soledad Pérez-Rodríguez (SIAM J. Sci. Comput., 2018)

Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. - Ernst Hairer; Christian Lubich (Numerische Mathematik, 2020)

A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. - Ernst Hairer; Christian Lubich; Bin Wang 016 (Numerische Mathematik, 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)

An efficient algorithm for solving piecewise-smooth dynamical systems. - Nicola Guglielmi; Ernst Hairer (Numer. Algorithms, 2022)

Large-stepsize integrators for charged-particle dynamics over multiple time scales. - Ernst Hairer; Christian Lubich; Yanyan Shi (Numerische Mathematik, 2022)

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)

Sliding modes of high codimension in piecewise-smooth dynamical systems. - Nicola Guglielmi; Ernst Hairer (Numer. Algorithms, 2023)

Leapfrog Methods for Relativistic Charged-Particle Dynamics. - Ernst Hairer; Christian Lubich; Yanyan Shi (SIAM J. Numer. Anal., 2023)

Applying stiff integrators for ODEs and DDEs to problems with distributed delays. - Nicola Guglielmi; Ernst Hairer (CoRR, 2024)

Applying Stiff Integrators for Ordinary Differential Equations and Delay Differential Equations to Problems with Distributed Delays. - Nicola Guglielmi; Ernst Hairer (SIAM J. Sci. Comput., 2025)

A fast and memoryless numerical method for solving fractional differential equations. - Nicola Guglielmi; Ernst Hairer (CoRR, 2025)