期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 38, 期 3, 页码 718-741出版社
SIAM PUBLICATIONS
DOI: 10.1137/S0036142999351777
关键词
finite differences; staggered grid; linear multistep methods; Runge-Kutta methods; stability domain; imaginary stability boundary; root portrait
We consider variations of the Adams-Bashforth, backward differentiation, and Runge Kutta families of time integrators to solve systems of linear wave equations on uniform, time-staggered grids. These methods are found to have smaller local truncation errors and to allow larger stable time steps than traditional nonstaggered versions of equivalent orders. We investigate the accuracy and stability of these methods analytically, experimentally, and through the use of a novel root portrait technique.
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