The convergence behaviour of multi-revolution composition methods combined with time-splitting methods is analysed for highly oscillatory linear differential equations of Schrödinger type. Numerical experiments illustrate and complement the theoretical investigations
Ce mémoire traite de la résolution (numérique et exacte) d'équations différentielles à grandes oscil...
In this work, the error behaviour of high-order exponential operator splitting methods for the time ...
Recently-derived high-order splitting schemes with complex coefficients are shown to exhibit reduced...
International audienceThe convergence behaviour of multi-revolution composition methods combined wit...
We introduce a new class of multi-revolution composition methods (MRCM) for the approximation of the...
International audienceWe introduce a class of numerical methods for highly oscillatory systems of st...
Current research made contribution to the numerical analysis of highly oscillatory ordinary differen...
The long-time near-conservation of the total and oscillatory energies of numerical integrators for H...
We introduce a class of numerical methods for highly oscillatory systems of stochastic differential ...
Convergence of a multigrid method for elliptic equations with highly oscillatory coefficient
In this work, we consider the numerical solution of the nonlinear Schrödinger equation with a highly...
We study convergence properties of time-point relaxation (TR) Runge-Kutta methods for linear systems...
AbstractWe study convergence properties of time-point relaxation (TR) Runge-Kutta methods for linear...
AbstractA damped oscillating convergence to a correct solution sometimes observed in decomposition m...
We consider splitting methods for the numerical integration of separable non-autonomous differentia...
Ce mémoire traite de la résolution (numérique et exacte) d'équations différentielles à grandes oscil...
In this work, the error behaviour of high-order exponential operator splitting methods for the time ...
Recently-derived high-order splitting schemes with complex coefficients are shown to exhibit reduced...
International audienceThe convergence behaviour of multi-revolution composition methods combined wit...
We introduce a new class of multi-revolution composition methods (MRCM) for the approximation of the...
International audienceWe introduce a class of numerical methods for highly oscillatory systems of st...
Current research made contribution to the numerical analysis of highly oscillatory ordinary differen...
The long-time near-conservation of the total and oscillatory energies of numerical integrators for H...
We introduce a class of numerical methods for highly oscillatory systems of stochastic differential ...
Convergence of a multigrid method for elliptic equations with highly oscillatory coefficient
In this work, we consider the numerical solution of the nonlinear Schrödinger equation with a highly...
We study convergence properties of time-point relaxation (TR) Runge-Kutta methods for linear systems...
AbstractWe study convergence properties of time-point relaxation (TR) Runge-Kutta methods for linear...
AbstractA damped oscillating convergence to a correct solution sometimes observed in decomposition m...
We consider splitting methods for the numerical integration of separable non-autonomous differentia...
Ce mémoire traite de la résolution (numérique et exacte) d'équations différentielles à grandes oscil...
In this work, the error behaviour of high-order exponential operator splitting methods for the time ...
Recently-derived high-order splitting schemes with complex coefficients are shown to exhibit reduced...
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