Derivation of simplectic numerical schemes for highly oscillatory Hamiltonian systems.

DOI10.1016/j.crma.2006.12.012zbMath1110.65117OpenAlexW2040250101MaRDI QIDQ869724

Frédéric Legoll, Claude Le Bris

Publication date: 8 March 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.12.012

zbMATH Keywords

numerical exampleHamilton-Jacobi equations

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (3)

Symplectic schemes for highly oscillatory Hamiltonian systems with varying fast frequencies ⋮ Numerical stroboscopic averaging for ODEs and DAEs ⋮ RECONSIDERING TRIGONOMETRIC INTEGRATORS

Cites Work

• Homogenization of Hamiltonian systems with a strong constraining potential
• Error analysis of exponential integrators for oscillatory second-order differential equations
• Geometric Numerical Integration
• Unnamed Item

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