The Midpoint Scheme and Variants for Hamiltonian Systems: Advantages and Pitfalls

DOI10.1137/S1064827597316059zbMath0947.65133OpenAlexW2004118536MaRDI QIDQ4942063

Sebastian Reich, Uri M. Ascher

Publication date: 20 March 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827597316059

zbMATH Keywords

numerical examplesHamiltonian systemsnumerical stabilitymolecular dynamicsstepsize controlimplicit midpoint rulehighly oscillatory systemsstiff oscillators

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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