期刊
CALCOLO
卷 60, 期 1, 页码 -出版社
SPRINGER-VERLAG ITALIA SRL
DOI: 10.1007/s10092-023-00506-8
关键词
quasilinear wave equations; trigonometric integrators; second-order convergence; energy technique
In this paper, one-stage explicit trigonometric integrators for solving quasilinear wave equations are formulated and studied. The trigonometric integrators are used as the semidiscretization in time, while a spectral Galerkin method is employed for the discretization in space. It is shown that these integrators have second-order convergence in time and the result holds for the fully discrete scheme without requiring any CFL-type coupling.
In this paper, one-stage explicit trigonometric integrators for solving quasilinear wave equations are formulated and studied. For solving wave equations, we first introduce trigonometric integrators as the semidiscretization in time and then consider a spectral Galerkin method for the discretization in space. We show that one-stage explicit trigonometric integrators in time have second-order convergence and the result is also true for the fully discrete scheme without requiring any CFL-type coupling of the discretization parameters. The results are proved by using energy techniques, which are widely applied in the numerical analysis of methods for partial differential equations.
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