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ORCIDErnst Hairer
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- affiliation: University of Geneva, Switzerland
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2020 – today
- 2024
[i4]Nicola Guglielmi, Ernst Hairer:
Applying stiff integrators for ODEs and DDEs to problems with distributed delays. CoRR abs/2401.11247 (2024)- 2023
- [j42]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: 114642 (2023) - [j41]Nicola Guglielmi, Ernst Hairer:
Sliding modes of high codimension in piecewise-smooth dynamical systems. Numer. Algorithms 94(1): 257-273 (2023) - [j40]Ernst Hairer, Christian Lubich, Yanyan Shi:
Leapfrog Methods for Relativistic Charged-Particle Dynamics. SIAM J. Numer. Anal. 61(6): 2844-2858 (2023) - [i3]Ernst Hairer, Christian Lubich, Yanyan Shi:
Leapfrog methods for relativistic charged-particle dynamics. CoRR abs/2304.13578 (2023) - 2022
- [j39]Nicola Guglielmi, Ernst Hairer
:
An efficient algorithm for solving piecewise-smooth dynamical systems. Numer. Algorithms 89(3): 1311-1334 (2022) - [j38]Ernst Hairer, Christian Lubich, Yanyan Shi:
Large-stepsize integrators for charged-particle dynamics over multiple time scales. Numerische Mathematik 151(3): 659-691 (2022) - 2021
- [i2]Ernst Hairer, Christian Lubich, Yanyan Shi:
Large-stepsize integrators for charged-particle dynamics over multiple time scales. CoRR abs/2101.10403 (2021) - 2020
- [j37]Ernst Hairer, Christian Lubich:
Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. Numerische Mathematik 144(3): 699-728 (2020) - [j36]Ernst Hairer, Christian Lubich, Bin Wang:
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Numerische Mathematik 144(4): 787-809 (2020) - [j35]Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu:
Convergence in ℓ2 and ℓ∞ Norm of One-Stage AMF-W-Methods for Parabolic Problems. SIAM J. Numer. Anal. 58(2): 1117-1137 (2020)
2010 – 2019
- 2019
- [i1]Ernst Hairer, Christian Lubich, Bin Wang:
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. CoRR abs/1907.07452 (2019) - 2018
- [j34]Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu, Soledad Pérez-Rodríguez:
PDE-W-methods for parabolic problems with mixed derivatives. Numer. Algorithms 78(3): 957-981 (2018) - [j33]Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu, Soledad Pérez-Rodríguez:
AMF-type W-methods for Parabolic Problems with Mixed Derivatives. SIAM J. Sci. Comput. 40(5): A2905-A2929 (2018) - 2016
- [j32]Ernst Hairer, Arieh Iserles:
Numerical Stability in the Presence of Variable Coefficients. Found. Comput. Math. 16(3): 751-777 (2016) - [j31]Nicola Guglielmi, Ernst Hairer:
Path-regularization of linear neutral delay differential equations with several delays. J. Comput. Appl. Math. 292: 785-794 (2016) - [j30]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): 119-138 (2016) - 2015
- [j29]Nicola Guglielmi, Ernst Hairer:
Classification of Hidden Dynamics in Discontinuous Dynamical Systems. SIAM J. Appl. Dyn. Syst. 14(3): 1454-1477 (2015) - 2014
- [j28]Martin J. Gander, Ernst Hairer:
Analysis for parareal algorithms applied to Hamiltonian differential equations. J. Comput. Appl. Math. 259: 2-13 (2014) - [j27]Paola Console, Ernst Hairer:
Reducing round-off errors in symmetric multistep methods. J. Comput. Appl. Math. 262: 217-222 (2014) - [j26]Raffaele D'Ambrosio, Ernst Hairer:
Long-Term Stability of Multi-Value Methods for Ordinary Differential Equations. J. Sci. Comput. 60(3): 627-640 (2014) - [j25]Nicola Guglielmi, Ernst Hairer:
Numerical approaches for state-dependent neutral delay equations with discontinuities. Math. Comput. Simul. 95: 2-12 (2014) - 2013
- [j24]Paola Console, Ernst Hairer, Christian Lubich:
Symmetric multistep methods for constrained Hamiltonian systems. Numerische Mathematik 124(3): 517-539 (2013) - 2012
- [j23]Nicola Guglielmi, Ernst Hairer:
Asymptotic Expansions for Regularized State-Dependent Neutral Delay Equations. SIAM J. Math. Anal. 44(4): 2428-2458 (2012) - 2010
- [j22]Philippe Chartier, Ernst Hairer, Gilles Vilmart:
Algebraic Structures of B-series. Found. Comput. Math. 10(4): 407-427 (2010) - [j21]Ernst Hairer:
Numerical methods for evolutionary differential equations. Math. Comput. 79(269): 613-614 (2010) - [j20]Ernst Hairer, Gerhard Wanner:
Linear multistep method. Scholarpedia 5(4): 4591 (2010)
2000 – 2009
- 2009
- [j19]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): 3806-3826 (2009) - 2008
- [j18]Nicola Guglielmi, Ernst Hairer:
Computing breaking points in implicit delay differential equations. Adv. Comput. Math. 29(3): 229-247 (2008) - [j17]Ernst Hairer, Christian Lubich:
Spectral Semi-discretisations of Weakly Non-linear Wave Equations over Long Times. Found. Comput. Math. 8(3): 319-334 (2008) - [j16]David Cohen, Ernst Hairer, Christian Lubich:
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations. Numerische Mathematik 110(2): 113-143 (2008) - 2007
- [j15]Philippe Chartier, Ernst Hairer, Gilles Vilmart:
Numerical integrators based on modified differential equations. Math. Comput. 76(260): 1941-1953 (2007) - [j14]Nicola Guglielmi, Ernst Hairer:
Stiff delay equations. Scholarpedia 2(11): 2850 (2007) - 2006
- [j13]Ernst Hairer, Gerhard Wanner:
Simulating Hamiltonian dynamics. Math. Comput. 75(253) (2006) - 2005
- [j12]Ernst Hairer:
Important Aspects of Geometric Numerical Integration. J. Sci. Comput. 25(1-2): 67-81 (2005) - [j11]Ernst Hairer, Gustaf Söderlind:
Explicit, Time Reversible, Adaptive Step Size Control. SIAM J. Sci. Comput. 26(6): 1838-1851 (2005) - 2004
- [j10]Ernst Hairer, Christian Lubich:
Symmetric multistep methods over long times. Numerische Mathematik 97(4): 699-723 (2004) - 2003
- [j9]David Cohen, Ernst Hairer, Christian Lubich:
Modulated Fourier Expansions of Highly Oscillatory Differential Equations. Found. Comput. Math. 3(4): 327-345 (2003) - [j8]Ernst Hairer:
Global modified Hamiltonian for constrained symplectic integrators. Numerische Mathematik 95(2): 325-336 (2003) - 2001
- [j7]Nicola Guglielmi, Ernst Hairer:
Implementing Radau IIA Methods for Stiff Delay Differential Equations. Computing 67(1): 1-12 (2001) - 2000
- [j6]Ernst Hairer, Christian Lubich:
Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations. SIAM J. Numer. Anal. 38(2): 414-441 (2000)
1990 – 1999
- 1999
- [j5]Nicola Guglielmi, Ernst Hairer:
Order stars and stability for delay differential equations. Numerische Mathematik 83(3): 371-383 (1999) - [j4]Ernst Hairer:
Backward error analysis for multistep methods. Numerische Mathematik 84(2): 199-232 (1999) - 1997
- [j3]Ernst Hairer, Daniel Stoffer:
Reversible Long-Term Integration with Variable Stepsizes. SIAM J. Sci. Comput. 18(1): 257-269 (1997)
1970 – 1979
- 1974
- [j2]Ernst Hairer, Gerhard Wanner:
On the Butcher group and general multi-value methods. Computing 13(1): 1-15 (1974) - 1973
- [j1]Ernst Hairer, Gerhard Wanner:
Multistep-multistage-multiderivative methods for ordinary differential equations. Computing 11(3): 287-303 (1973)
Coauthor Index
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