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An explicit difference method for the wave equation with extended stability range. (English) Zbl 0441.65066


MSC:

65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35L05 Wave equation
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65N06 Finite difference methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
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References:

[1] G. Fairweather,A note on the efficient implementation of certain Padé methods for linear parabolic problems, BIT 18:1 (1978), 106–109. · Zbl 0384.65036 · doi:10.1007/BF01947749
[2] J. D. Lawson and J. Ll. Morris,The extrapolation of first order parabolic partial differential equations I, SIAM J. Num. Anal. 15:6 (1978), 1212–1224. · Zbl 0397.65064 · doi:10.1137/0715082
[3] J. D. Lawson and J. Ll. Morris,A note on the efficient implementation of splitting methods in two space variables, BIT 17:4 (1977), 492–493. · Zbl 0378.65023 · doi:10.1007/BF01933460
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