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A note on the operator compact implicit method for the wave equation

Melvyn Ciment, Stephen H. Leventhal

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Source: Crossref

Published: Jan 1, 1978

DOI: 10.1090/s0025-5718-1978-0483507-7

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Source abstract

In a previous paper a fourth order compact implicit scheme was presented for the second order wave equation. A very efficient factorization technique was developed when only second order terms were present. In this note we implement the operator compact implicit spatial discretization method for the second order wave equation when first order terms are present. The resulting algorithm is completely analogous to the compact implicit algorithm when lower order terms were not present. For this more general operator compact implicit spatial approximation the same factorization as in our previous paper is developed.

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A note on the operator compact implicit method for the wave equation — Mathematical Frontier Network