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

✍ Scribed by Daisuke Murai; Toshiyuki Koto

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
294 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

A staggered Runge-Kutta (staggered RK) scheme is a Runge-Kutta type scheme using a time staggered grid, as proposed by Ghrist et al. in 2000 [6]. Afterwards, Verwer in two papers investigated the efficiency of a scheme proposed by Ghrist 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.

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