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Ciment, Melvyn; Leventhal, Stephen H.

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

Math. Comput. 32, 143-147 (1978).
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Cited in 38 Documents

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
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[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
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