×

A note on the operator compact implicit method for the wave equation. (English) Zbl 0373.35039


MSC:

35L05 Wave equation
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Melvyn Ciment and Stephen H. Leventhal, Higher order compact implicit schemes for the wave equation, Math. Comp. 29 (1975), no. 132, 985 – 994. · Zbl 0309.35043
[2] Melvyn Ciment, Stephen H. Leventhal, and Bernard C. Weinberg, The operator compact implicit method for parabolic equations, J. Comput. Phys. 28 (1978), no. 2, 135 – 166. , https://doi.org/10.1016/0021-9991(78)90031-1 Melvyn Ciment, Stephen H. Leventhal, and Bernard C. Weinberg, Erratum: ”The operator compact implicit method for parabolic equations” (J. Comput. Phys. 28 (1978), no. 2, 135 – 166), J. Comput. Phys. 29 (1978), no. 1, 145. · Zbl 0393.65038 · doi:10.1016/0021-9991(78)90116-X
[3] Richard S. Hirsh, Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique, J. Computational Phys. 19 (1975), no. 1, 90 – 109. · Zbl 0326.76024
[4] Carl de Boor , Mathematical aspects of finite elements in partial differential equations, Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1974. Publication No. 33 of the Mathematics Research Center, The University of Wisconsin-Madison. · Zbl 0324.00023
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.