Starting algorithms for implicit Runge-Kutta-Nyström methods

DOI10.1016/S0168-9274(98)00010-5zbMath0929.65040OpenAlexW2062300994MaRDI QIDQ1294475

M. P. Laburta

Publication date: 11 January 2000

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00010-5

zbMATH Keywords

collocationorder conditionsimplicit Runge-Kutta-Nyström methodsstarting algorithms

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)

Related Items (2)

Performance of Gauss implicit Runge-Kutta methods on separable Hamiltonian systems. ⋮ Starting algorithms for low stage order RKN methods

Cites Work

• Construction of starting algorithms for the RK-Gauss methods
• Starting algorithms for IRK methods
• Perturbed collocation and symplectic RKN methods
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