A fundamental theorem on the structure of symplectic integrators
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Publication:2267218
DOI10.1016/j.physleta.2006.02.004zbMath1398.65333arXivmath-ph/0511051OpenAlexW2085044836MaRDI QIDQ2267218
Publication date: 1 March 2010
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0511051
Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
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The inefficiency of re-weighted sampling and the curse of system size in high-order path integration ⋮ Forward and non-forward symplectic integrators in solving classical dynamics problems
Cites Work
- Recent progress in the theory and application of symplectic integrators
- Symplectic analytically integrable decomposition algorithms: classification, derivation, and application to molecular dynamics, quantum and celestial mechanics simulations
- Fourth-order symplectic integration
- Forward symplectic integrators for solving gravitational few-body problems
- On the necessity of negative coefficients for operator splitting schemes of order higher than two
- Symplectic integrators from composite operator factorizations
- Explicit Symplectic Integrators Using Hessian--Vector Products
- Solving Linear Partial Differential Equations by Exponential Splitting
- General theory of fractal path integrals with applications to many-body theories and statistical physics
- Symplectic Integration with Processing: A General Study
- Nth-Order Operator Splitting Schemes and Nonreversible Systems
- Hybrid exponential product formulas for unbounded operators with possible applications to Monte Carlo simulations
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