A modified Runge-Kutta method for the numerical solution of ODE's with oscillation solutions

DOI10.1016/0893-9659(96)00095-XzbMath0864.65052MaRDI QIDQ1352369

Theodore E. Simos

Publication date: 13 February 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

numerical examplesRunge-Kutta methodminimal phase-lagoscillating solutions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Cites Work

• A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems
• Runge-Kutta interpolants with minimal phase-lag
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine
• A one-step method for direct integration of structural dynamic equations
• Explicit Runge–Kutta Pairs with One More Derivative Evaluation than the Minimum

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