Symplectic integration with floating-point arithmetic and other approximations

DOI10.1016/S0168-9274(98)00033-6zbMath0928.70006MaRDI QIDQ1294541

Robert D. Skeel

Publication date: 18 January 2000

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

zbMATH Keywords

leapfrog methodlattice maps

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05)

Cites Work

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• Improved Trotter-like formula
• Exact numerical studies of Hamiltonian maps: Iterating without roundoff error
• The life-span of backward error analysis for numerical integrators
• Nonlinear resonance artifacts in molecular dynamics simulations
• On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• A Family of Symplectic Integrators: Stability, Accuracy, and Molecular Dynamics Applications
• Symplectic integration of Hamiltonian systems
• Backward Error Analysis for Numerical Integrators

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