Hairer, Ernst | Archive ouverte UNIGE

Title	Published in	Year	Views	Downloads
Sliding modes of high codimension in piecewise-smooth dynamical systems	Numerical algorithms	2023	47	166
Large-stepsize integrators for charged particles in a strong magnetic field	International conference of numerical analysis and applied mathematics ICNAAM 2021	2023	7	0
Analysis for parareal algorithms applied to Hamiltonian differential equations	Journal of computational and applied mathematics	2014	80	221
On conjugate symplecticity of B-series integrators	IMA journal of numerical analysis	2013	805	328
Regularization of neutral delay differential equations with several delays	Journal of dynamics and differential equations	2013	969	390
Symmetric multistep methods for constrained Hamiltonian systems	Numerische Mathematik	2013	456	329
On the energy distribution in Fermi-Pasta-Ulam lattices	Archive for rational mechanics and analysis	2012	645	400
Asymptotic expansions for regularized state-dependent neutral delay equations	SIAM journal on mathematical analysis	2012	765	530
Metastable energy strata in weakly nonlinear wave equations	Communications in partial differential equations	2012	670	411
Analysis in historischer Entwicklung		2011	815	0
Linear energy-preserving integrators for Poisson systems	BIT	2011	800	922
Energy-preserving variant of collocation methods	Journal of numerical analysis. Industrial and applied mathematics	2010	938	1,029
Algebraic structures of B-series	Foundations of computational mathematics	2010	728	614
Oscillations over long times in numerical Hamiltonian systems	Highly oscillatory problems	2009	577	0
On energy conservation of the simplified Takahashi-Imada method	Modélisation mathématique et analyse numérique	2009	684	353
Solving optimization-constrained differential equations with discontinuity points, with applications to atmospheric chemistry	SIAM journal on scientific computing	2009	681	581
The role of symplectic integrators in optimal control	Optimal control applications & methods	2009	688	398
Highly Oscillatory Problems		2009	699	0
Achieving Brouwer's law with implicit Runge-Kutta methods	BIT	2008	672	545
Computing breaking points in implicit delay differential equations	Advances in computational mathematics	2008	689	752
Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansions	Archive for rational mechanics and analysis	2008	603	525
Spectral semi-discretisations of weakly nonlinear wave equations over long times	Foundations of computational mathematics	2008	659	368
Nonlinear Convergence Analysis for the Parareal Algorithm	Domain decomposition methods in science and engineering XVII	2008	104	2
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations	Numerische Mathematik	2008	690	884
Conjugate-symplecticity of linear multistep methods	Journal of Computational Mathematics	2008	580	310
Numerical integrators based on modified differential equations	Mathematics of computation	2007	691	0
Modified differential equations	ESAIM. Proceedings	2007	678	372
Preprocessed Discrete Moser-Veselov algorithm for the full dynamics of the rigid body	Journal of physics. A, mathematical and general	2006	701	589
Long-time energy conservation of numerical integrators	Foundations of computational mathematics, Santander 2005	2006	675	344
Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations		2006	2,466	4,940
Symmetric linear multistep methods	BIT	2006	617	522
Analyse Complexe et Séries de Fourier		2006	860	392
Important aspects of geometric numerical integration	Journal of scientific computing	2005	677	475
Explicit, time reversible, adaptive step size control	SIAM journal on scientific computing	2005	670	782
Numerical energy conservation for multi-frequency oscillatory differential equations	BIT	2005	699	690
Introduction à l'Analyse Numérique		2005	1,589	605
Energy conservation with non-symplectic methods: examples and counter-examples	BIT	2004	599	824
Symmetric multistep methods over long times	Numerische Mathematik	2004	743	1,015
Global modified Hamiltonian for constrained symplectic integrators	Numerische Mathematik	2003	773	1,064
GniCodes - Matlab programs for geometric numerical integration	Frontiers in Numerical Analysis	2003	1,033	0
Geometric numerical integration illustrated by the Stoermer-Verlet method	Acta numerica	2003	1,408	2,051
Modulated Fourier expansions of highly oscillatory differential equations	Foundations of computational mathematics	2003	857	809
Geometric proofs of numerical stability for delay equations	IMA journal of numerical analysis	2001	699	0
Geometric integration of ordinary differential equations on manifolds	BIT	2001	1,204	0
L'analyse au fil de l'histoire		2001	1,902	0
Implementing Radau IIA methods for stiff delay differential equations	Computing	2001	1,088	0
Some properties of symplectic Runge-Kutta methods	New Zealand journal of mathematics	2000	656	0
Symmetric projection methods for differential equations on manifolds	BIT	2000	507	0
Asymptotic expansions and backward analysis for numerical integrators	Dynamics of algorithms	2000	766	1,235
Long-time energy conservation of numerical methods for oscillatory differential equations	SIAM journal on numerical analysis	2000	943	1,076
Order Stars and Stiff Integrators	Journal of computational and applied mathematics	2000	720	0
Corrigendum to: "Symplectic integrators for the Ablowitz-Ladik discrete nonlinear Schroedinger equation" [Phys. Lett. A 259 (1999) 140–151]	Physics letters. A	2000	650	0
Energy conservation by Stoermer-type numerical integrators	Numerical Analysis 1999 (Dundee)	2000	729	0
Backward error analysis for multistep methods	Numerische Mathematik	1999	597	0
Stiff differential equations solved by Radau methods	Journal of computational and applied mathematics	1999	692	0
Invariant tori of dissipatively perturbed Hamiltonian systems under symplectic discretization	Applied numerical mathematics	1999	622	0
Asymptotic error analysis of the adaptive Verlet method	BIT	1999	571	0
Analyse II (Calcul Différentiel et Equations Différentielles)		1999	1,132	1,449
Order stars and stability for delay differential equations	Numerische Mathematik	1999	666	0
Order barriers for symplectic multi-value methods	Numerical analysis 1997	1998	623	358
Order conditions for general two-step Runge-Kutta methods	SIAM journal on numerical analysis	1997	793	0
Reversible long-term integration with variable step sizes	SIAM journal on scientific computing	1997	645	0
The life-span of backward error analysis for numerical integrators	Numerische Mathematik	1997	723	0
Variable time step integration with symplectic methods	Applied numerical mathematics	1997	842	0
Analysis by Its History		1996	3,552	1,010
On Error Growth Functions of Runge-Kutta Methods	Applied numerical mathematics	1996	598	0
Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems		1996	2,177	0
On a Generalization of a Theorem of von Neumann	Zeitschrift für angewandte Mathematik und Physik	1996	494	0
Further reduction in the number of independent order conditions for symplectic, explicit Partitioned Runge-Kutta and Runge-Kutta-Nyström methods	Applied numerical mathematics	1995	594	1
Accurate long-term integration of dynamical systems	Applied numerical mathematics	1995	650	0
Backward analysis of numerical integrators and symplectic methods	Annals of numerical mathematics	1994	1,165	652
The non-existence of symplectic multi-derivative Runge-Kutta methods	BIT	1994	628	0
Symplectic Runge-Kutta methods with real eigenvalues	BIT	1994	620	0
Solving Ordinary Differential Equations I. Nonstiff Problems		1993	3,800	4,323
Symmetrized half-explicit methods for constrained mechanical systems	Applied numerical mathematics	1993	624	0
Implicit Runge-Kutta methods for higher index differential-algebraic systems	Contributions in Numerical Mathematics	1993	478	1
Half-Explicit Runge–Kutta Methods for Sifferential-Algebraic Systems of Index 2	SIAM journal on numerical analysis	1993	679	0
Dense output for the GBS extrapolation method	Computational Ordinary Differential Equations	1992	514	0
Equilibria of Runge-Kutta methods	Numerische Mathematik	1990	611	1
Dense output for extrapolation methods	Numerische Mathematik	1990	784	0
Error of rosenbrock methods for stiff problems studied via differential algebraic equations	BIT	1989	657	0
The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods		1989	2,265	0
Extrapolation at stiff differential equations	Numerische Mathematik	1988	647	0
Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations	BIT	1988	722	0
Fast numerical solution of weakly singular Volterra integral equations	Journal of computational and applied mathematics	1988	722	0
One-step and extrapolation methods for differential-algebraic systems	Numerische Mathematik	1987	724	0
Numerical methods for singular nonlinear integro-differential equations	Applied numerical mathematics	1987	679	2
A- and B-stability for Runge-Kutta methods-characterizations and equivalence	Numerische Mathematik	1986	884	0
Rational Approximations to the Exponential Function with Two Complex Conjugate Interpolation Points	SIAM journal on mathematical analysis	1985	722	0
A necessary condition for BSI-stability	BIT	1985	655	0
Fast Numerical Solution of Nonlinear Volterra Convolution Equations	SIAM journal on scientific and statistical computing	1985	784	0
On the Stability of Volterra-Runge-Kutta Methods	SIAM journal on numerical analysis	1984	628	2
The equivalence of B-stability and A-stability	BIT	1984	726	0
Asymptotic expansions of the global error of fixed-stepsize methods	Numerische Mathematik	1984	557	0
A note on D-stability	BIT	1984	574	0
On the Instability of the BDF Formulas	SIAM journal on numerical analysis	1983	593	2
Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind	SIAM journal on numerical analysis	1983	642	3
On the stability of semi-implicit methods for ordinary differential equations	BIT	1982	782	0
Constructive characterization of A-stable approximations to exp(z) and its connection with algebraically stable Runge-Kutta methods	Numerische Mathematik	1982	629	0
A One-step Method of Order 10 for y″=f(x,y)	IMA journal of numerical analysis	1982	695	0
Runge-Kutta Theory for Volterra Integral Equations of the Second Kind	Mathematics of computation	1982	631	3
Order conditions for numerical methods for partitioned ordinary differential equations	Numerische Mathematik	1981	707	2
Algebraically Stable and Implementable Runge-Kutta Methods of High Order	SIAM journal on numerical analysis	1981	628	0
Unconditionally stable explicit methods for parabolic equations	Numerische Mathematik	1980	629	0
Highest possible order of algebraically stable diagonally implicit Runge-Kutta methods	BIT	1980	618	0
Nonlinear stability of RAT, an explicit rational Runge-Kutta method	BIT	1979	514	0
Unconditionally stable methods for second order differential equations	Numerische Mathematik	1979	643	1
Order stars and stability theorems	BIT	1978	823	0
On the order of iterated defect correction. An algebraic proof	Numerische Mathematik	1978	564	0
A Runge-Kutta Method of Order 10	IMA journal of applied mathematics	1978	679	11
When I-stability implies A-stability	BIT	1978	559	0
Méthodes de Nyström pour l'équation différentielle y''=f(x,y)	Numerische Mathematik	1977	614	0
A theory for Nyström methods	Numerische Mathematik	1976	599	1
On the Butcher group and general multi-value methods	Computing	1974	730	9
Multistep-multistage-multiderivative methods for ordinary differential equations	Computing	1973	726	4