Preservation of adiabatic invariants under symplectic discretization

DOI10.1016/S0168-9274(98)00032-4zbMath0930.70016MaRDI QIDQ1294539

Sebastian Reich

Publication date: 29 June 1999

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

zbMATH Keywords

backward error analysisnormal form theoryseparated time scalesstep size restrictions

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamical systems in classical and celestial mechanics (37N05) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11)

Related Items (4)

Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency ⋮ A new class of efficient one-step contractivity preserving high-order time discretization methods of order 5 to 14 ⋮ Geometric integration of a wave-vortex model. ⋮ Numerical energy conservation for multi-frequency oscillatory differential equations

Cites Work

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• Homogenization of Hamiltonian systems with a strong constraining potential
• The separation of motions in systems with rapidly rotating phase
• Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. I
• The life-span of backward error analysis for numerical integrators
• On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
• A Family of Symplectic Integrators: Stability, Accuracy, and Molecular Dynamics Applications
• Motion under a strong constraining force
• The Midpoint Scheme and Variants for Hamiltonian Systems: Advantages and Pitfalls

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