Runge-Kutta methods and viscous wave equations

被引：10
|
作者：
Verwer, J. G. [1 ]
机构：
[1] Ctr Wiskunde & Informat, NL-1090 GB Amsterdam, Netherlands
来源：
NUMERISCHE MATHEMATIK | 2009年 / 112卷 / 03期
关键词：
Primary: 65L05; 65L06; 65L20; 65M12; 65M20; G.1.7; G.1.8;
D O I：
10.1007/s00211-009-0211-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the numerical time integration of a class of viscous wave equations by means of Runge-Kutta methods. The viscous wave equation is an extension of the standard second-order wave equation including advection-diffusion terms differentiated in time. The viscous wave equation can be very stiff so that for time integration traditional explicit methods are no longer efficient. A-Stable Runge-Kutta methods are then very good candidates for time integration, in particular diagonally implicit ones. Special attention is paid to the question how the A-Stability property can be translated to this non-standard class of viscous wave equations.
引用
收藏
页码：485 / 507
页数：23
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