Journal
SIAM JOURNAL ON NUMERICAL ANALYSIS
Volume 38, Issue 3, Pages 718-741Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S0036142999351777
Keywords
finite differences; staggered grid; linear multistep methods; Runge-Kutta methods; stability domain; imaginary stability boundary; root portrait
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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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