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EH

Hairer, Ernst

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Publications
114
Views
89,950
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31,884
Supervised works
12
1 - 114 of 114
Title Published in Access level OA Policy Year Views Downloads
Sliding modes of high codimension in piecewise-smooth dynamical systemsNumerical algorithms
 2023 37 75
Analysis for parareal algorithms applied to Hamiltonian differential equationsJournal of computational and applied mathematics
 2014 72 138
On conjugate symplecticity of B-series integratorsIMA journal of numerical analysis
 2013 785 291
Regularization of neutral delay differential equations with several delaysJournal of dynamics and differential equations
 2013 959 337
Symmetric multistep methods for constrained Hamiltonian systemsNumerische Mathematik
 2013 445 250
On the energy distribution in Fermi-Pasta-Ulam latticesArchive for rational mechanics and analysis
 2012 631 373
Asymptotic expansions for regularized state-dependent neutral delay equationsSIAM journal on mathematical analysis
 2012 755 428
Metastable energy strata in weakly nonlinear wave equationsCommunications in partial differential equations
 2012 658 359
Analysis in historischer Entwicklung
 2011 804 0
Linear energy-preserving integrators for Poisson systemsBIT
 2011 781 837
Energy-preserving variant of collocation methodsJournal of numerical analysis. Industrial and applied mathematics
 2010 925 776
Algebraic structures of B-seriesFoundations of computational mathematics
 2010 716 477
Oscillations over long times in numerical Hamiltonian systemsHighly oscillatory problems
 2009 564 0
On energy conservation of the simplified Takahashi-Imada methodModélisation mathématique et analyse numérique
 2009 673 293
Solving optimization-constrained differential equations with discontinuity points, with applications to atmospheric chemistrySIAM journal on scientific computing
 2009 670 452
The role of symplectic integrators in optimal controlOptimal control applications & methods
 2009 678 360
Highly Oscillatory Problems
 2009 686 0
Achieving Brouwer's law with implicit Runge-Kutta methodsBIT
 2008 655 464
Computing breaking points in implicit delay differential equationsAdvances in computational mathematics
 2008 678 628
Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansionsArchive for rational mechanics and analysis
 2008 591 412
Spectral semi-discretisations of weakly nonlinear wave equations over long timesFoundations of computational mathematics
 2008 649 345
Nonlinear Convergence Analysis for the Parareal AlgorithmDomain decomposition methods in science and engineering XVII
 2008 94 2
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equationsNumerische Mathematik
 2008 680 840
Conjugate-symplecticity of linear multistep methodsJournal of Computational Mathematics
 2008 568 269
Numerical integrators based on modified differential equationsMathematics of computation
 2007 677 0
Modified differential equationsESAIM. Proceedings
 2007 661 278
Preprocessed Discrete Moser-Veselov algorithm for the full dynamics of the rigid bodyJournal of physics. A, mathematical and general
 2006 691 535
Long-time energy conservation of numerical integratorsFoundations of computational mathematics, Santander 2005
 2006 662 307
Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations
 2006 2,434 4,940
Symmetric linear multistep methodsBIT
 2006 605 291
Analyse Complexe et Séries de Fourier
 2006 846 367
Important aspects of geometric numerical integrationJournal of scientific computing
 2005 667 443
Explicit, time reversible, adaptive step size controlSIAM journal on scientific computing
 2005 660 641
Numerical energy conservation for multi-frequency oscillatory differential equationsBIT
 2005 688 640
Introduction à l'Analyse Numérique
 2005 1,568 562
Energy conservation with non-symplectic methods: examples and counter-examplesBIT
 2004 586 792
Symmetric multistep methods over long timesNumerische Mathematik
 2004 732 905
Global modified Hamiltonian for constrained symplectic integratorsNumerische Mathematik
 2003 761 989
GniCodes - Matlab programs for geometric numerical integrationFrontiers in Numerical Analysis
 2003 1,021 0
Geometric numerical integration illustrated by the Stoermer-Verlet methodActa numerica
 2003 1,384 1,829
Modulated Fourier expansions of highly oscillatory differential equationsFoundations of computational mathematics
 2003 844 639
Geometric proofs of numerical stability for delay equationsIMA journal of numerical analysis
 2001 686 0
Geometric integration of ordinary differential equations on manifoldsBIT
 2001 1,190 0
L'analyse au fil de l'histoire
 2001 1,879 0
Implementing Radau IIA methods for stiff delay differential equationsComputing
 2001 1,069 0
Some properties of symplectic Runge-Kutta methodsNew Zealand journal of mathematics
 2000 646 0
Symmetric projection methods for differential equations on manifoldsBIT
 2000 496 0
Asymptotic expansions and backward analysis for numerical integratorsDynamics of algorithms
 2000 752 969
Long-time energy conservation of numerical methods for oscillatory differential equationsSIAM journal on numerical analysis
 2000 930 863
Order Stars and Stiff IntegratorsJournal of computational and applied mathematics
 2000 708 0
Corrigendum to: "Symplectic integrators for the Ablowitz-Ladik discrete nonlinear Schroedinger equation" [Phys. Lett. A 259 (1999) 140–151]Physics letters. A
 2000 640 0
Energy conservation by Stoermer-type numerical integratorsNumerical Analysis 1999 (Dundee)
 2000 719 0
Backward error analysis for multistep methodsNumerische Mathematik
 1999 585 0
Stiff differential equations solved by Radau methodsJournal of computational and applied mathematics
 1999 672 0
Invariant tori of dissipatively perturbed Hamiltonian systems under symplectic discretizationApplied numerical mathematics
 1999 606 0
Asymptotic error analysis of the adaptive Verlet methodBIT
 1999 558 0
Analyse II (Calcul Différentiel et Equations Différentielles)
 1999 1,118 1,253
Order stars and stability for delay differential equationsNumerische Mathematik
 1999 654 0
Order barriers for symplectic multi-value methodsNumerical analysis 1997
 1998 611 254
Order conditions for general two-step Runge-Kutta methodsSIAM journal on numerical analysis
 1997 779 0
Reversible long-term integration with variable step sizesSIAM journal on scientific computing
 1997 632 0
The life-span of backward error analysis for numerical integratorsNumerische Mathematik
 1997 712 0
Variable time step integration with symplectic methodsApplied numerical mathematics
 1997 831 0
Analysis by Its History
 1996 3,533 1,010
On Error Growth Functions of Runge-Kutta MethodsApplied numerical mathematics
 1996 586 0
Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems
 1996 2,160 0
On a Generalization of a Theorem of von NeumannZeitschrift für angewandte Mathematik und Physik
 1996 482 0
Further reduction in the number of independent order conditions for symplectic, explicit Partitioned Runge-Kutta and Runge-Kutta-Nyström methodsApplied numerical mathematics
 1995 582 1
Accurate long-term integration of dynamical systemsApplied numerical mathematics
 1995 638 0
Backward analysis of numerical integrators and symplectic methodsAnnals of numerical mathematics
 1994 1,141 605
The non-existence of symplectic multi-derivative Runge-Kutta methodsBIT
 1994 617 0
Symplectic Runge-Kutta methods with real eigenvaluesBIT
 1994 606 0
Solving Ordinary Differential Equations I. Nonstiff Problems
 1993 3,778 4,323
Symmetrized half-explicit methods for constrained mechanical systemsApplied numerical mathematics
 1993 612 0
Implicit Runge-Kutta methods for higher index differential-algebraic systemsContributions in Numerical Mathematics
 1993 467 1
Half-Explicit Runge–Kutta Methods for Sifferential-Algebraic Systems of Index 2SIAM journal on numerical analysis
 1993 666 0
Dense output for the GBS extrapolation methodComputational Ordinary Differential Equations
 1992 504 0
Equilibria of Runge-Kutta methodsNumerische Mathematik
 1990 599 1
Dense output for extrapolation methodsNumerische Mathematik
 1990 770 0
Error of rosenbrock methods for stiff problems studied via differential algebraic equationsBIT
 1989 641 0
The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
 1989 2,251 0
Extrapolation at stiff differential equationsNumerische Mathematik
 1988 633 0
Error of Runge-Kutta methods for stiff problems studied via differential algebraic equationsBIT
 1988 707 0
Fast numerical solution of weakly singular Volterra integral equationsJournal of computational and applied mathematics
 1988 709 0
One-step and extrapolation methods for differential-algebraic systemsNumerische Mathematik
 1987 713 0
Numerical methods for singular nonlinear integro-differential equationsApplied numerical mathematics
 1987 667 2
A- and B-stability for Runge-Kutta methods-characterizations and equivalenceNumerische Mathematik
 1986 874 0
Rational Approximations to the Exponential Function with Two Complex Conjugate Interpolation PointsSIAM journal on mathematical analysis
 1985 712 0
A necessary condition for BSI-stabilityBIT
 1985 634 0
Fast Numerical Solution of Nonlinear Volterra Convolution EquationsSIAM journal on scientific and statistical computing
 1985 774 0
On the Stability of Volterra-Runge-Kutta MethodsSIAM journal on numerical analysis
 1984 617 2
The equivalence of B-stability and A-stabilityBIT
 1984 711 0
Asymptotic expansions of the global error of fixed-stepsize methodsNumerische Mathematik
 1984 535 0
A note on D-stabilityBIT
 1984 563 0
On the Instability of the BDF FormulasSIAM journal on numerical analysis
 1983 580 2
Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second KindSIAM journal on numerical analysis
 1983 629 3
On the stability of semi-implicit methods for ordinary differential equationsBIT
 1982 770 0
Constructive characterization of A-stable approximations to exp(z) and its connection with algebraically stable Runge-Kutta methodsNumerische Mathematik
 1982 617 0
A One-step Method of Order 10 for y″=f(x,y)IMA journal of numerical analysis
 1982 685 0
Runge-Kutta Theory for Volterra Integral Equations of the Second KindMathematics of computation
 1982 617 3
Order conditions for numerical methods for partitioned ordinary differential equationsNumerische Mathematik
 1981 695 2
Algebraically Stable and Implementable Runge-Kutta Methods of High OrderSIAM journal on numerical analysis
 1981 612 0
Unconditionally stable explicit methods for parabolic equationsNumerische Mathematik
 1980 616 0
Highest possible order of algebraically stable diagonally implicit Runge-Kutta methodsBIT
 1980 605 0
Nonlinear stability of RAT, an explicit rational Runge-Kutta methodBIT
 1979 502 0
Unconditionally stable methods for second order differential equationsNumerische Mathematik
 1979 630 1
Order stars and stability theoremsBIT
 1978 810 0
On the order of iterated defect correction. An algebraic proofNumerische Mathematik
 1978 552 0
A Runge-Kutta Method of Order 10IMA journal of applied mathematics
 1978 668 11
When I-stability implies A-stabilityBIT
 1978 547 0
Méthodes de Nyström pour l'équation différentielle y''=f(x,y)Numerische Mathematik
 1977 600 0
A theory for Nyström methodsNumerische Mathematik
 1976 586 1
On the Butcher group and general multi-value methodsComputing
 1974 719 9
Multistep-multistage-multiderivative methods for ordinary differential equationsComputing
 1973 714 4
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