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• W2963015717 startingPage "1082" @default.
• W2963015717 abstract "An error analysis of trigonometric integrators (or exponential integrators) applied to spatial semidiscretizations of semilinear wave equations with periodic boundary conditions in one space dimension is given. In particular, optimal second-order convergence is shown requiring only that the exact solution is of finite energy. The analysis is uniform in the spatial discretization parameter. It covers the impulse method which coincides with the method of Deuflhard and the mollified impulse method of García-Archilla, Sanz-Serna, and Skeel as well as the trigonometric methods proposed by Hairer and Lubich and by Grimm and Hochbruck. The analysis can also be used to explain the convergence behavior of the Störmer--Verlet/leapfrog time discretization." @default.
• W2963015717 created "2019-07-30" @default.
• W2963015717 creator A5082832432 @default.
• W2963015717 date "2015-01-01" @default.
• W2963015717 modified "2023-10-14" @default.
• W2963015717 title "Error Analysis of Trigonometric Integrators for Semilinear Wave Equations" @default.
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• W2963015717 doi "https://doi.org/10.1137/140977217" @default.
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