24 pages, 2 figuresInternational audienceA group of high order Gautschi-type exponential wave integrators (EWIs) Fourier pseudospectral method are proposed and analyzed for solving the nonlinear Klein-Gordon equation (KGE) in the nonrelativistic limit regime, where a parameter $0<\varepsilon\ll1$ which is inversely proportional to the speed of light, makes the solution propagate waves with wavelength $O(\varepsilon^2)$ in time and $O(1)$ in space. With the Fourier pseudospectral method to discretize the KGE in space, we propose a group of EWIs with designed Gautschi's type quadratures for the temporal integrations, which can offer any intended even order of accuracy provided that the solution is smooth enough, while all the current existing...
A multiscale time integrator Fourier pseudospectral (MTI-FP) method is proposed and rigorously analy...
The main contribution of this thesis is the development of a novel class of uniformly accurate metho...
(will be inserted by the editor) A uniformly accurate (UA) multiscale time integrator Fourier pseodu...
24 pages, 2 figuresInternational audienceA group of high order Gautschi-type exponential wave integr...
Abstract. We propose and analyze a multiscale time integrator Fourier pseudospectral (MTI-FP) method...
In this paper, we are concerned with symmetric integrators for the nonlinear relativistic Klein--Gor...
International audienceWe introduce efficient and robust exponential-type integrators for Klein-Gordo...
International audienceWe introduce efficient and robust exponential-type integrators for Klein-Gordo...
Abstract. We propose an exponential wave integrator sine pseudospectral (EWI-SP) method for the nonl...
International audienceWe propose and rigourously analyze a multiscale time integrator Fourier pseud...
International audienceWe propose and rigourously analyze a multiscale time integrator Fourier pseud...
International audienceWe propose and rigourously analyze a multiscale time integrator Fourier pseud...
We introduce a family of high-order time semi-discretizations for semilinear wave equations of Klein...
We introduce a family of high-order time semi-discretizations for semilinear wave equations of Klein...
A multiscale time integrator Fourier pseudospectral (MTI-FP) method is proposed and rigorously analy...
A multiscale time integrator Fourier pseudospectral (MTI-FP) method is proposed and rigorously analy...
The main contribution of this thesis is the development of a novel class of uniformly accurate metho...
(will be inserted by the editor) A uniformly accurate (UA) multiscale time integrator Fourier pseodu...
24 pages, 2 figuresInternational audienceA group of high order Gautschi-type exponential wave integr...
Abstract. We propose and analyze a multiscale time integrator Fourier pseudospectral (MTI-FP) method...
In this paper, we are concerned with symmetric integrators for the nonlinear relativistic Klein--Gor...
International audienceWe introduce efficient and robust exponential-type integrators for Klein-Gordo...
International audienceWe introduce efficient and robust exponential-type integrators for Klein-Gordo...
Abstract. We propose an exponential wave integrator sine pseudospectral (EWI-SP) method for the nonl...
International audienceWe propose and rigourously analyze a multiscale time integrator Fourier pseud...
International audienceWe propose and rigourously analyze a multiscale time integrator Fourier pseud...
International audienceWe propose and rigourously analyze a multiscale time integrator Fourier pseud...
We introduce a family of high-order time semi-discretizations for semilinear wave equations of Klein...
We introduce a family of high-order time semi-discretizations for semilinear wave equations of Klein...
A multiscale time integrator Fourier pseudospectral (MTI-FP) method is proposed and rigorously analy...
A multiscale time integrator Fourier pseudospectral (MTI-FP) method is proposed and rigorously analy...
The main contribution of this thesis is the development of a novel class of uniformly accurate metho...
(will be inserted by the editor) A uniformly accurate (UA) multiscale time integrator Fourier pseodu...