Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2024 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Cosine methods for second-order hyperbolic equations with time-dependent coefficients
HTML articles powered by AMS MathViewer

by Laurence A. Bales, Vassilios A. Dougalis and Steven M. Serbin PDF
Math. Comp. 45 (1985), 65-89 Request permission

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
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC: 65M05, 65M60
  • Retrieve articles in all journals with MSC: 65M05, 65M60
Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Math. Comp. 45 (1985), 65-89
  • MSC: Primary 65M05; Secondary 65M60
  • DOI: https://doi.org/10.1090/S0025-5718-1985-0790645-1
  • MathSciNet review: 790645