A general method of finding new symplectic schemes for Hamiltonian mechanics

DOI10.1007/978-3-031-14788-3_20OpenAlexW4299372451MaRDI QIDQ2109995

Yanyan Li

Publication date: 21 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-031-14788-3_20

zbMATH Keywords

permutationsGröbner basesresultantsmolecular dynamicssymplectic difference schemespartitioned schemes

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Uses Software

• Mathematica

Cites Work

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• Fourth-order symplectic integration
• Optimal four-stage symplectic integrators for molecular dynamics problems
• Solving polynomial systems using numeric Gröbner bases
• Comparative study of the accuracy of higher-order difference schemes for molecular dynamics problems using the computer algebra means
• Higher-order symplectic integration techniques for molecular dynamics problems
• The evaluation of the zeros of ill-conditioned polynomials. I, II
• A Concise Introduction to Geometric Numerical Integration
• Simulating Hamiltonian Dynamics
• Floating-Point Gröbner Basis Computation with Ill-conditionedness Estimation
• A package for solving parametric polynomial systems
• Geometric Numerical Integration

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