Stability and convergence of staggered Runge-Kutta schemes for semilinear wave equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Murai, Daisuke¹  Koto, Toshiyuki² 

[1] Nagoya Univ, Grad Sch Informat Sci, Chikusa Ku, Nagoya, Aichi 4648601, Japan

[2] Nanzan Univ, Dept Informat Syst & Math Sci, Aichi 4890863, Japan

关键词: Wave equations;    Explicit time integration;    Staggered Runge-Kutta schemes;    Convergence;    Stability analysis;   

DOI  :  10.1016/j.cam.2011.03.020

来源: Elsevier

【 摘 要 】

A staggered Runge-Kutta (staggered RK) scheme is a Runge-Kutta type scheme using a time staggered grid, as proposed by Christ et al. in 2000 [6]. Afterwards, Verwer in two papers investigated the efficiency of a scheme proposed by Christ et al. [6] for linear wave equations. We study stability and convergence properties of this scheme for semilinear wave equations. In particular, we prove convergence of a fully discrete scheme obtained by applying the staggered RK scheme to the MOL approximation of the equation. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free