Runge-Kutta-Nyström methods for general second order ODEs with application to multi-body systems

DOI10.1016/S0168-9274(98)00055-5zbMath0924.65071OpenAlexW2024855856MaRDI QIDQ1294501

Ander Murua

Publication date: 2 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00055-5

zbMATH Keywords

numerical experimentsRunge-Kutta-Nyström methodssecond-order equationsmulti-body dynamical systems

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) (n)-body problems (70F10) Dynamical systems and ergodic theory (37-XX)

Related Items

Runge-Kutta-Nyström methods with maximized stability domain in structural dynamics

Uses Software

• RODAS

Cites Work

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• Differential-algebraic equations in vehicle system dynamics
• Low order practical Runge-Kutta-Nyström methods
• A family of embedded Runge-Kutta formulae
• On the numerical solution of a wheel suspension benchmark problem
• Families of Runge-Kutta-Nystrom Formulae
• Solving Ordinary Differential Equations I
• Extrapolation integrators for constrained multibody systems

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