Two-step fourth-order P-stable methods with phase-lag of order six for y″ = f(t, y)

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摘要

We present a new family of two-step fourth-order methods which when applied to the test equation: y″ = − λ2y, λ>0, are at once P-stable and have a phase-lag of order H6 (H = λh, h is the step-size).

论文关键词:Special second-order initial-value problems,two-step fourth-order methods,interval of periodicity,P-stable methods,phase-lag

论文评审过程:Received 17 April 1985, Revised 20 October 1985, Available online 22 March 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(86)90094-4