A mono-implicit Runge-Kutta-Nyström modification of the Numerov method

DOI10.1016/S0377-0427(96)00139-2zbMath0876.65054MaRDI QIDQ676003

T. Van Hecke, H. E. De Meyer, Guido Vanden Berghe, Marnix van Daele

Publication date: 20 November 1997

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

zbMATH Keywords

numerical examplesA-stabilityRunge-Kutta-Nyström methodsP-stabilityNumerov method

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)

Related Items (3)

On the generation of mono-implicit Runge-Kutta-Nyström methods by mono-implicit Runge-Kutta methods ⋮ On a class of \(P\)-stable mono-implicit Runge-Kutta-Nyström methods ⋮ Comment on: A two-stage fourth-order ``almost \(P\)-stable method for oscillatory problems

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