On the qualitative behaviour of symplectic integrators. II: Integrable systems

DOI10.1006/jmaa.1997.5728zbMath0892.65040OpenAlexW2059479268MaRDI QIDQ1378637

Daniel Stoffer

Publication date: 24 March 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5728

zbMATH Keywords

error boundssymplectic methodstability boundscompletely integrable Hamiltonian systemsfirst integrals preservation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (2)

On the qualitative behaviour of symplectic integrators. III: Perturbed integrable systems ⋮ Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems

Cites Work

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• Recent progress in the theory and application of symplectic integrators
• Runge-Kutta schemes for Hamiltonian systems
• Canonical Runge-Kutta methods
• On the qualitative behaviour of symplectic integrators. I: Perturbed linear systems
• On the qualitative behaviour of symplectic integrators. III: Perturbed integrable systems
• On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
• Solving Ordinary Differential Equations I

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