Ergodicity and the Numerical Simulation of Hamiltonian Systems

DOI10.1137/040603802zbMath1090.65139OpenAlexW1979924077MaRDI QIDQ5700605

Paul F. Tupper

Publication date: 28 October 2005

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040603802

zbMATH Keywords

numerical examplesergodicityHamiltonian systemsmolecular dynamicsstatistical mechanicssymplectic integratorsStörmer-Verlet methodnumerical integratorsvolume-preserving integrators

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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