Regions of absolute stability of explicit Runge-Kutta-Nyström methods for \(y=f(x,y,y')\)

DOI10.1016/0377-0427(84)90025-6zbMath0567.65046OpenAlexW2090961115MaRDI QIDQ1059988

J. Blot

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0377-0427(84)90025-6

zbMATH Keywords

absolute stabilityRunge-Kutta methodsNyström methodsfirst order problemMerson's 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)

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Cites Work

• Absolute stability of explicit Runge-Kutta-Nyström methods for \(y=f(x,y,y')\)
• A theory for Nyström methods
• Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
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