Starting algorithms for Gauss Runge-Kutta methods for Hamiltonian systems.

DOI10.1016/S0898-1221(03)80026-3zbMath1035.65154OpenAlexW2017587577MaRDI QIDQ1416396

M. P. Laburta, Juan I. Montijano, Manuel Calvo

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)80026-3

zbMATH Keywords

numerical experimentsHamiltonian systemsimplicit Runge-Kutta methodssymplectic integratorsGauss methodsStarting algorithms

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (4)

Initializers for RK-Gauss methods based on pseudo-symplecticity ⋮ Approximate preservation of quadratic first integrals by explicit Runge-Kutta methods ⋮ Starting algorithms for a class of RK methods for index-2 DAEs ⋮ Stage value predictors for additive and partitioned Runge-Kutta methods

Uses Software

• RODAS

Cites Work

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• Variable step implementation of geometric integrators
• Construction of starting algorithms for the RK-Gauss methods
• Starting algorithms for IRK methods
• Variable time step integration with symplectic methods
• Variable steps for reversible integration methods
• Solving Ordinary Differential Equations I
• Backward Error Analysis for Numerical Integrators
• Comparing Numerical Methods for Ordinary Differential Equations

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