Perturbed collocation and symplectic RKN methods

DOI10.1007/BF02431994zbMath0832.65072OpenAlexW2016269837MaRDI QIDQ1899277

Geetha Ramaswami

Publication date: 5 March 1996

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02431994

zbMATH Keywords

symplectic methodsperturbed collocationmethod of maximal orderRunge-Kutta-Nyström collocation methods

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

Related Items (2)

Higher order symplectic RK and RKN methods using perturbed collocation ⋮ Starting algorithms for implicit Runge-Kutta-Nyström methods

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Canonical Runge-Kutta methods
• Perturbed collocation and Runge-Kutta methods
• A theory for Nyström methods
• Symplectic integration of Hamiltonian systems
• Towards efficient implementation of singly-implicit methods
• An Explicit Runge–Kutta–Nyström Method is Canonical If and Only If Its Adjoint is Explicit

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