A family of two-step almost \(P\)-stable methods with phase-lag of order infinity for the numerical integration of second-order periodic initial- value problems

DOI10.1007/BF03167577zbMath0795.65047MaRDI QIDQ689924

Theodore E. Simos

Publication date: 8 September 1994

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Runge-Kutta methodphase lag\(P\)-stabilityconsistency order sixsecond-order periodic initial value problemstwo-step almost \(P\)-stable methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Asymptotic properties of solutions to ordinary differential equations (34D05)

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High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation ⋮ Mulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equation ⋮ A family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation ⋮ A quartic \(C^ 3\)-spline collocation method for solving second-order initial value problems

Cites Work

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