Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Cosine methods for second-order hyperbolic equations with time-dependent coefficients

Authors: Laurence A. Bales, Vassilios A. Dougalis and Steven M. Serbin
Journal: Math. Comp. 45 (1985), 65-89
MSC: Primary 65M05; Secondary 65M60
MathSciNet review: 790645
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We analyze efficient, high-order accurate methods for the approximation of the solutions of linear, second-order hyperbolic equations with time-dependent coefficients. The methods are based on Galerkin-type discretizations in space and on a class of fourth-order accurate, two-step, cosine time-stepping schemes. Preconditioned iterative techniques are used to solve linear systems with the same operator at each time step. The schemes are supplemented by single-step high-order starting procedures and need no evaluations of derivatives of operators. $ {L^2}$-optimal error estimates are proved throughout.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65M05, 65M60

Retrieve articles in all journals with MSC: 65M05, 65M60

Additional Information

Article copyright: © Copyright 1985 American Mathematical Society

American Mathematical Society