EH
| Title | Published in | Access level | OA Policy | Year | Views | Downloads | |
|---|---|---|---|---|---|---|---|
| Sliding modes of high codimension in piecewise-smooth dynamical systems | Numerical algorithms |  | 2023 | 36 | 46 | ||
| Analysis for parareal algorithms applied to Hamiltonian differential equations | Journal of Computational and Applied Mathematics | | 2014 | 67 | 103 | ||
| On conjugate symplecticity of B-series integrators | IMA journal of numerical analysis | | 2013 | 780 | 276 | ||
| Regularization of neutral delay differential equations with several delays | Journal of dynamics and differential equations | | 2013 | 954 | 314 | ||
| Symmetric multistep methods for constrained Hamiltonian systems | Numerische Mathematik | | 2013 | 443 | 233 | ||
| On the energy distribution in Fermi-Pasta-Ulam lattices | Archive for rational mechanics and analysis | | 2012 | 622 | 358 | ||
| Asymptotic expansions for regularized state-dependent neutral delay equations | SIAM journal on mathematical analysis | | 2012 | 749 | 387 | ||
| Metastable energy strata in weakly nonlinear wave equations | Communications in partial differential equations | | 2012 | 655 | 350 | ||
| Analysis in historischer Entwicklung | 2011 | 798 | 0 | ||||
| Linear energy-preserving integrators for Poisson systems | BIT | | 2011 | 774 | 812 | ||
| Energy-preserving variant of collocation methods | Journal of numerical analysis. Industrial and applied mathematics | | 2010 | 917 | 689 | ||
| Algebraic structures of B-series | Foundations of computational mathematics | | 2010 | 708 | 421 | ||
| Oscillations over long times in numerical Hamiltonian systems | Highly oscillatory problems | 2009 | 561 | 0 | |||
| On energy conservation of the simplified Takahashi-Imada method | Modélisation mathématique et analyse numérique | | 2009 | 668 | 283 | ||
| Solving optimization-constrained differential equations with discontinuity points, with applications to atmospheric chemistry | SIAM journal on scientific computing | | 2009 | 663 | 397 | ||
| The role of symplectic integrators in optimal control | Optimal control applications & methods | | 2009 | 673 | 346 | ||
| Highly Oscillatory Problems | 2009 | 683 | 0 | ||||
| Achieving Brouwer's law with implicit Runge-Kutta methods | BIT | | 2008 | 651 | 427 | ||
| Computing breaking points in implicit delay differential equations | Advances in computational mathematics | | 2008 | 675 | 577 | ||
| Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansions | Archive for rational mechanics and analysis | | 2008 | 588 | 377 | ||
| Spectral semi-discretisations of weakly nonlinear wave equations over long times | Foundations of computational mathematics | | 2008 | 646 | 339 | ||
| Nonlinear Convergence Analysis for the Parareal Algorithm | Domain decomposition methods in science and engineering XVII |  | 2008 | 93 | 2 | ||
| Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations | Numerische Mathematik | | 2008 | 677 | 817 | ||
| Conjugate-symplecticity of linear multistep methods | Journal of Computational Mathematics | | 2008 | 561 | 257 | ||
| Numerical integrators based on modified differential equations | Mathematics of computation | | 2007 | 670 | 0 | ||
| Modified differential equations | ESAIM. Proceedings | | 2007 | 656 | 253 | ||
| Preprocessed Discrete Moser-Veselov algorithm for the full dynamics of the rigid body | Journal of physics. A, mathematical and general | | 2006 | 686 | 511 | ||
| Long-time energy conservation of numerical integrators | Foundations of computational mathematics, Santander 2005 | | 2006 | 655 | 294 | ||
| Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations | 2006 | 2,416 | 4,940 | ||||
| Symmetric linear multistep methods | BIT | | 2006 | 600 | 254 | ||
| Analyse Complexe et Séries de Fourier | | 2006 | 836 | 357 | |||
| Important aspects of geometric numerical integration | Journal of scientific computing | | 2005 | 662 | 424 | ||
| Explicit, time reversible, adaptive step size control | SIAM journal on scientific computing | | 2005 | 653 | 585 | ||
| Numerical energy conservation for multi-frequency oscillatory differential equations | BIT | | 2005 | 684 | 616 | ||
| Introduction à l'Analyse Numérique | | 2005 | 1,561 | 554 | |||
| Energy conservation with non-symplectic methods: examples and counter-examples | BIT | | 2004 | 581 | 778 | ||
| Symmetric multistep methods over long times | Numerische Mathematik | | 2004 | 721 | 850 | ||
| Global modified Hamiltonian for constrained symplectic integrators | Numerische Mathematik | | 2003 | 758 | 973 | ||
| GniCodes - Matlab programs for geometric numerical integration | Frontiers in Numerical Analysis | 2003 | 1,016 | 0 | |||
| Geometric numerical integration illustrated by the Stoermer-Verlet method | Acta numerica | | 2003 | 1,369 | 1,761 | ||
| Modulated Fourier expansions of highly oscillatory differential equations | Foundations of computational mathematics | | 2003 | 836 | 551 | ||
| Geometric proofs of numerical stability for delay equations | IMA journal of numerical analysis | | 2001 | 683 | 0 | ||
| Geometric integration of ordinary differential equations on manifolds | BIT | | 2001 | 1,187 | 0 | ||
| L'analyse au fil de l'histoire | 2001 | 1,864 | 0 | ||||
| Implementing Radau IIA methods for stiff delay differential equations | Computing | | 2001 | 1,066 | 0 | ||
| Some properties of symplectic Runge-Kutta methods | New Zealand journal of mathematics | 2000 | 642 | 0 | |||
| Symmetric projection methods for differential equations on manifolds | BIT | | 2000 | 491 | 0 | ||
| Asymptotic expansions and backward analysis for numerical integrators | Dynamics of algorithms | | 2000 | 748 | 847 | ||
| Long-time energy conservation of numerical methods for oscillatory differential equations | SIAM journal on numerical analysis | | 2000 | 919 | 791 | ||
| Order Stars and Stiff Integrators | Journal of computational and applied mathematics | 2000 | 704 | 0 | |||
| Corrigendum to: "Symplectic integrators for the Ablowitz-Ladik discrete nonlinear Schroedinger equation" [Phys. Lett. A 259 (1999) 140–151] | Physics letters. A | | 2000 | 637 | 0 | ||
| Energy conservation by Stoermer-type numerical integrators | Numerical Analysis 1999 (Dundee) | 2000 | 716 | 0 | |||
| Backward error analysis for multistep methods | Numerische Mathematik | | 1999 | 580 | 0 | ||
| Stiff differential equations solved by Radau methods | Journal of computational and applied mathematics | | 1999 | 669 | 0 | ||
| Invariant tori of dissipatively perturbed Hamiltonian systems under symplectic discretization | Applied numerical mathematics | | 1999 | 602 | 0 | ||
| Asymptotic error analysis of the adaptive Verlet method | BIT | | 1999 | 555 | 0 | ||
| Analyse II (Calcul Différentiel et Equations Différentielles) | | 1999 | 1,109 | 1,169 | |||
| Order stars and stability for delay differential equations | Numerische Mathematik | | 1999 | 650 | 0 | ||
| Order barriers for symplectic multi-value methods | Numerical analysis 1997 | | 1998 | 605 | 224 | ||
| Order conditions for general two-step Runge-Kutta methods | SIAM journal on numerical analysis | | 1997 | 772 | 0 | ||
| Reversible long-term integration with variable step sizes | SIAM journal on scientific computing | | 1997 | 626 | 0 | ||
| The life-span of backward error analysis for numerical integrators | Numerische Mathematik | | 1997 | 703 | 0 | ||
| Variable time step integration with symplectic methods | Applied numerical mathematics | 1997 | 818 | 0 | |||
| Variable time step integration with symplectic methods | Applied numerical mathematics |  | 1997 | 667 | 0 | ||
| Analysis by Its History | 1996 | 3,489 | 1,010 | ||||
| On Error Growth Functions of Runge-Kutta Methods | Applied numerical mathematics | | 1996 | 583 | 0 | ||
| Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems | 1996 | 2,140 | 0 | ||||
| On a Generalization of a Theorem of von Neumann | Zeitschrift für angewandte Mathematik und Physik | 1996 | 474 | 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 | 579 | 1 | ||
| Accurate long-term integration of dynamical systems | Applied numerical mathematics | | 1995 | 635 | 0 | ||
| Backward analysis of numerical integrators and symplectic methods | Annals of numerical mathematics | | 1994 | 1,134 | 599 | ||
| The non-existence of symplectic multi-derivative Runge-Kutta methods | BIT | | 1994 | 613 | 0 | ||
| Symplectic Runge-Kutta methods with real eigenvalues | BIT | 1994 | 602 | 0 | |||
| Solving Ordinary Differential Equations I. Nonstiff Problems | 1993 | 3,759 | 4,323 | ||||
| Symmetrized half-explicit methods for constrained mechanical systems | Applied numerical mathematics | | 1993 | 608 | 0 | ||
| Implicit Runge-Kutta methods for higher index differential-algebraic systems | Contributions in Numerical Mathematics | | 1993 | 465 | 1 | ||
| Half-Explicit Runge–Kutta Methods for Sifferential-Algebraic Systems of Index 2 | SIAM journal on numerical analysis | 1993 | 662 | 0 | |||
| Dense output for the GBS extrapolation method | Computational Ordinary Differential Equations | 1992 | 501 | 0 | |||
| Equilibria of Runge-Kutta methods | Numerische Mathematik | | 1990 | 596 | 1 | ||
| Dense output for extrapolation methods | Numerische Mathematik | | 1990 | 764 | 0 | ||
| Error of rosenbrock methods for stiff problems studied via differential algebraic equations | BIT | 1989 | 622 | 0 | |||
| The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods | 1989 | 2,246 | 0 | ||||
| Extrapolation at stiff differential equations | Numerische Mathematik | | 1988 | 630 | 0 | ||
| Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations | BIT | 1988 | 698 | 0 | |||
| Fast numerical solution of weakly singular Volterra integral equations | Journal of computational and applied mathematics | | 1988 | 704 | 0 | ||
| One-step and extrapolation methods for differential-algebraic systems | Numerische Mathematik | | 1987 | 706 | 0 | ||
| Numerical methods for singular nonlinear integro-differential equations | Applied numerical mathematics | | 1987 | 662 | 2 | ||
| A- and B-stability for Runge-Kutta methods-characterizations and equivalence | Numerische Mathematik | | 1986 | 870 | 0 | ||
| Rational Approximations to the Exponential Function with Two Complex Conjugate Interpolation Points | SIAM journal on mathematical analysis | 1985 | 706 | 0 | |||
| A necessary condition for BSI-stability | BIT | 1985 | 628 | 0 | |||
| Fast Numerical Solution of Nonlinear Volterra Convolution Equations | SIAM journal on scientific and statistical computing | 1985 | 768 | 0 | |||
| On the Stability of Volterra-Runge-Kutta Methods | SIAM journal on numerical analysis | | 1984 | 612 | 2 | ||
| The equivalence of B-stability and A-stability | BIT | 1984 | 706 | 0 | |||
| Asymptotic expansions of the global error of fixed-stepsize methods | Numerische Mathematik | | 1984 | 530 | 0 | ||
| A note on D-stability | BIT | 1984 | 559 | 0 | |||
| On the Instability of the BDF Formulas | SIAM journal on numerical analysis | | 1983 | 575 | 2 | ||
| Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind | SIAM journal on numerical analysis | | 1983 | 626 | 3 | ||
| On the stability of semi-implicit methods for ordinary differential equations | BIT | 1982 | 766 | 0 | |||
| Constructive characterization of A-stable approximations to exp(z) and its connection with algebraically stable Runge-Kutta methods | Numerische Mathematik | | 1982 | 613 | 0 | ||
| A One-step Method of Order 10 for y″=f(x,y) | IMA journal of numerical analysis | 1982 | 679 | 0 | |||
| Runge-Kutta Theory for Volterra Integral Equations of the Second Kind | Mathematics of computation | | 1982 | 614 | 3 | ||
| Order conditions for numerical methods for partitioned ordinary differential equations | Numerische Mathematik | | 1981 | 692 | 2 | ||
| Algebraically Stable and Implementable Runge-Kutta Methods of High Order | SIAM journal on numerical analysis | | 1981 | 608 | 0 | ||
| Unconditionally stable explicit methods for parabolic equations | Numerische Mathematik | | 1980 | 612 | 0 | ||
| Highest possible order of algebraically stable diagonally implicit Runge-Kutta methods | BIT | 1980 | 599 | 0 | |||
| Nonlinear stability of RAT, an explicit rational Runge-Kutta method | BIT | 1979 | 499 | 0 | |||
| Unconditionally stable methods for second order differential equations | Numerische Mathematik | | 1979 | 627 | 1 | ||
| Order stars and stability theorems | BIT | 1978 | 806 | 0 | |||
| On the order of iterated defect correction. An algebraic proof | Numerische Mathematik | | 1978 | 545 | 0 | ||
| A Runge-Kutta Method of Order 10 | IMA journal of applied mathematics | | 1978 | 663 | 11 | ||
| When I-stability implies A-stability | BIT | 1978 | 541 | 0 | |||
| Méthodes de Nyström pour l'équation différentielle y''=f(x,y) | Numerische Mathematik | | 1977 | 596 | 0 | ||
| A theory for Nyström methods | Numerische Mathematik | | 1976 | 583 | 1 | ||
| On the Butcher group and general multi-value methods | Computing | | 1974 | 714 | 9 | ||
| Multistep-multistage-multiderivative methods for ordinary differential equations | Computing | | 1973 | 707 | 4 |
