Twizell, E. H. An explicit difference method for the wave equation with extended stability range. (English) Zbl 0441.65066 BIT, Nord. Tidskr. Inf.-behandl. 19, 378-383 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 38 Documents 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 Keywords:wave equation; consistency, stability and convergence; stability range; mixed initial and boundary values PDF BibTeX XML Cite \textit{E. H. Twizell}, BIT, Nord. Tidskr. Inf.-behandl. 19, 378--383 (1979; Zbl 0441.65066) Full Text: DOI OpenURL 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 [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 [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 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.