Analysis of trigonometric implicit Runge-Kutta methods

DOI10.1016/j.cam.2005.12.006zbMath1106.65063OpenAlexW2017174077MaRDI QIDQ2433792

Roger B. Sidje, Hoang Si Nguyen, Nguyen Huu Cong

Publication date: 30 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.12.006

zbMATH Keywords

stabilitynumerical examplesRunge-Kutta methodscollocationtrigonometric methodsoscillatory differential equations

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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (27)

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Uses Software

• RODAS
• radau5

Cites Work

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• Stability of collocation methods for the numerical solution ofy″=f (x,y)
• P-stability and exponential-fitting methods for y = f(x,y)
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• A functional fitting Runge-Kutta-Nyström method with variable coefficients.

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