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EH

Hairer, Ernst

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Publications
114
Views
90,463
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33,173
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 41 98
Analysis for parareal algorithms applied to Hamiltonian differential equationsJournal of computational and applied mathematics
 2014 74 164
On conjugate symplecticity of B-series integratorsIMA journal of numerical analysis
 2013 796 301
Regularization of neutral delay differential equations with several delaysJournal of dynamics and differential equations
 2013 961 358
Symmetric multistep methods for constrained Hamiltonian systemsNumerische Mathematik
 2013 450 283
On the energy distribution in Fermi-Pasta-Ulam latticesArchive for rational mechanics and analysis
 2012 637 383
Asymptotic expansions for regularized state-dependent neutral delay equationsSIAM journal on mathematical analysis
 2012 757 476
Metastable energy strata in weakly nonlinear wave equationsCommunications in partial differential equations
 2012 660 372
Analysis in historischer Entwicklung
 2011 807 0
Linear energy-preserving integrators for Poisson systemsBIT
 2011 790 856
Energy-preserving variant of collocation methodsJournal of numerical analysis. Industrial and applied mathematics
 2010 930 896
Algebraic structures of B-seriesFoundations of computational mathematics
 2010 720 520
Oscillations over long times in numerical Hamiltonian systemsHighly oscillatory problems
 2009 569 0
On energy conservation of the simplified Takahashi-Imada methodModélisation mathématique et analyse numérique
 2009 676 317
Solving optimization-constrained differential equations with discontinuity points, with applications to atmospheric chemistrySIAM journal on scientific computing
 2009 672 512
The role of symplectic integrators in optimal controlOptimal control applications & methods
 2009 680 389
Highly Oscillatory Problems
 2009 691 0
Achieving Brouwer's law with implicit Runge-Kutta methodsBIT
 2008 664 483
Computing breaking points in implicit delay differential equationsAdvances in computational mathematics
 2008 681 667
Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansionsArchive for rational mechanics and analysis
 2008 595 446
Spectral semi-discretisations of weakly nonlinear wave equations over long timesFoundations of computational mathematics
 2008 651 348
Nonlinear Convergence Analysis for the Parareal AlgorithmDomain decomposition methods in science and engineering XVII
 2008 98 2
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equationsNumerische Mathematik
 2008 682 857
Conjugate-symplecticity of linear multistep methodsJournal of Computational Mathematics
 2008 572 290
Numerical integrators based on modified differential equationsMathematics of computation
 2007 683 0
Modified differential equationsESAIM. Proceedings
 2007 670 308
Preprocessed Discrete Moser-Veselov algorithm for the full dynamics of the rigid bodyJournal of physics. A, mathematical and general
 2006 693 552
Long-time energy conservation of numerical integratorsFoundations of computational mathematics, Santander 2005
 2006 667 318
Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations
 2006 2,447 4,940
Symmetric linear multistep methodsBIT
 2006 609 357
Analyse Complexe et Séries de Fourier
 2006 850 377
Important aspects of geometric numerical integrationJournal of scientific computing
 2005 669 457
Explicit, time reversible, adaptive step size controlSIAM journal on scientific computing
 2005 662 673
Numerical energy conservation for multi-frequency oscillatory differential equationsBIT
 2005 691 655
Introduction à l'Analyse Numérique
 2005 1,574 579
Energy conservation with non-symplectic methods: examples and counter-examplesBIT
 2004 591 811
Symmetric multistep methods over long timesNumerische Mathematik
 2004 735 945
Global modified Hamiltonian for constrained symplectic integratorsNumerische Mathematik
 2003 765 1,024
GniCodes - Matlab programs for geometric numerical integrationFrontiers in Numerical Analysis
 2003 1,025 0
Geometric numerical integration illustrated by the Stoermer-Verlet methodActa numerica
 2003 1,389 1,883
Modulated Fourier expansions of highly oscillatory differential equationsFoundations of computational mathematics
 2003 849 715
Geometric proofs of numerical stability for delay equationsIMA journal of numerical analysis
 2001 691 0
Geometric integration of ordinary differential equations on manifoldsBIT
 2001 1,195 0
L'analyse au fil de l'histoire
 2001 1,889 0
Implementing Radau IIA methods for stiff delay differential equationsComputing
 2001 1,080 0
Some properties of symplectic Runge-Kutta methodsNew Zealand journal of mathematics
 2000 648 0
Symmetric projection methods for differential equations on manifoldsBIT
 2000 499 0
Asymptotic expansions and backward analysis for numerical integratorsDynamics of algorithms
 2000 757 1,054
Long-time energy conservation of numerical methods for oscillatory differential equationsSIAM journal on numerical analysis
 2000 935 935
Order Stars and Stiff IntegratorsJournal of computational and applied mathematics
 2000 712 0
Corrigendum to: "Symplectic integrators for the Ablowitz-Ladik discrete nonlinear Schroedinger equation" [Phys. Lett. A 259 (1999) 140–151]Physics letters. A
 2000 642 0
Energy conservation by Stoermer-type numerical integratorsNumerical Analysis 1999 (Dundee)
 2000 721 0
Backward error analysis for multistep methodsNumerische Mathematik
 1999 589 0
Stiff differential equations solved by Radau methodsJournal of computational and applied mathematics
 1999 677 0
Invariant tori of dissipatively perturbed Hamiltonian systems under symplectic discretizationApplied numerical mathematics
 1999 614 0
Asymptotic error analysis of the adaptive Verlet methodBIT
 1999 563 0
Analyse II (Calcul Différentiel et Equations Différentielles)
 1999 1,120 1,291
Order stars and stability for delay differential equationsNumerische Mathematik
 1999 658 0
Order barriers for symplectic multi-value methodsNumerical analysis 1997
 1998 614 289
Order conditions for general two-step Runge-Kutta methodsSIAM journal on numerical analysis
 1997 785 0
Reversible long-term integration with variable step sizesSIAM journal on scientific computing
 1997 637 0
The life-span of backward error analysis for numerical integratorsNumerische Mathematik
 1997 714 0
Variable time step integration with symplectic methodsApplied numerical mathematics
 1997 834 0
Analysis by Its History
 1996 3,539 1,010
On Error Growth Functions of Runge-Kutta MethodsApplied numerical mathematics
 1996 590 0
Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems
 1996 2,165 0
On a Generalization of a Theorem of von NeumannZeitschrift für angewandte Mathematik und Physik
 1996 486 0
Further reduction in the number of independent order conditions for symplectic, explicit Partitioned Runge-Kutta and Runge-Kutta-Nyström methodsApplied numerical mathematics
 1995 586 1
Accurate long-term integration of dynamical systemsApplied numerical mathematics
 1995 642 0
Backward analysis of numerical integrators and symplectic methodsAnnals of numerical mathematics
 1994 1,147 616
The non-existence of symplectic multi-derivative Runge-Kutta methodsBIT
 1994 620 0
Symplectic Runge-Kutta methods with real eigenvaluesBIT
 1994 612 0
Solving Ordinary Differential Equations I. Nonstiff Problems
 1993 3,783 4,323
Symmetrized half-explicit methods for constrained mechanical systemsApplied numerical mathematics
 1993 616 0
Implicit Runge-Kutta methods for higher index differential-algebraic systemsContributions in Numerical Mathematics
 1993 470 1
Half-Explicit Runge–Kutta Methods for Sifferential-Algebraic Systems of Index 2SIAM journal on numerical analysis
 1993 671 0
Dense output for the GBS extrapolation methodComputational Ordinary Differential Equations
 1992 506 0
Equilibria of Runge-Kutta methodsNumerische Mathematik
 1990 603 1
Dense output for extrapolation methodsNumerische Mathematik
 1990 776 0
Error of rosenbrock methods for stiff problems studied via differential algebraic equationsBIT
 1989 647 0
The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
 1989 2,257 0
Extrapolation at stiff differential equationsNumerische Mathematik
 1988 638 0
Error of Runge-Kutta methods for stiff problems studied via differential algebraic equationsBIT
 1988 714 0
Fast numerical solution of weakly singular Volterra integral equationsJournal of computational and applied mathematics
 1988 714 0
One-step and extrapolation methods for differential-algebraic systemsNumerische Mathematik
 1987 716 0
Numerical methods for singular nonlinear integro-differential equationsApplied numerical mathematics
 1987 671 2
A- and B-stability for Runge-Kutta methods-characterizations and equivalenceNumerische Mathematik
 1986 876 0
Rational Approximations to the Exponential Function with Two Complex Conjugate Interpolation PointsSIAM journal on mathematical analysis
 1985 714 0
A necessary condition for BSI-stabilityBIT
 1985 643 0
Fast Numerical Solution of Nonlinear Volterra Convolution EquationsSIAM journal on scientific and statistical computing
 1985 776 0
On the Stability of Volterra-Runge-Kutta MethodsSIAM journal on numerical analysis
 1984 620 2
The equivalence of B-stability and A-stabilityBIT
 1984 718 0
Asymptotic expansions of the global error of fixed-stepsize methodsNumerische Mathematik
 1984 540 0
A note on D-stabilityBIT
 1984 566 0
On the Instability of the BDF FormulasSIAM journal on numerical analysis
 1983 585 2
Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second KindSIAM journal on numerical analysis
 1983 634 3
On the stability of semi-implicit methods for ordinary differential equationsBIT
 1982 773 0
Constructive characterization of A-stable approximations to exp(z) and its connection with algebraically stable Runge-Kutta methodsNumerische Mathematik
 1982 621 0
A One-step Method of Order 10 for y″=f(x,y)IMA journal of numerical analysis
 1982 687 0
Runge-Kutta Theory for Volterra Integral Equations of the Second KindMathematics of computation
 1982 623 3
Order conditions for numerical methods for partitioned ordinary differential equationsNumerische Mathematik
 1981 699 2
Algebraically Stable and Implementable Runge-Kutta Methods of High OrderSIAM journal on numerical analysis
 1981 620 0
Unconditionally stable explicit methods for parabolic equationsNumerische Mathematik
 1980 621 0
Highest possible order of algebraically stable diagonally implicit Runge-Kutta methodsBIT
 1980 610 0
Nonlinear stability of RAT, an explicit rational Runge-Kutta methodBIT
 1979 506 0
Unconditionally stable methods for second order differential equationsNumerische Mathematik
 1979 635 1
Order stars and stability theoremsBIT
 1978 815 0
On the order of iterated defect correction. An algebraic proofNumerische Mathematik
 1978 556 0
A Runge-Kutta Method of Order 10IMA journal of applied mathematics
 1978 671 11
When I-stability implies A-stabilityBIT
 1978 551 0
Méthodes de Nyström pour l'équation différentielle y''=f(x,y)Numerische Mathematik
 1977 606 0
A theory for Nyström methodsNumerische Mathematik
 1976 591 1
On the Butcher group and general multi-value methodsComputing
 1974 722 9
Multistep-multistage-multiderivative methods for ordinary differential equationsComputing
 1973 718 4
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