A Time-Reversible Variable-Stepsize Integrator for Constrained Dynamics

DOI10.1137/S1064827596314194zbMath0954.65089OpenAlexW2047976760MaRDI QIDQ4942062

Eric Barth, Benedict J. Leimkuhler, Sebastian Reich

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/s1064827596314194

zbMATH Keywords

Euler-Lagrange equationssymplectic methodsmolecular dynamicslong-term stabilityVerletadaptive timesteppingleapfrogrod modelnonlinear elastic dynamicstime-reversible methodsholonomically constrained Hamiltonian systemsSNAKE discretizationvariable-stepsize methods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Finite difference methods applied to problems in solid mechanics (74S20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Holonomic systems related to the dynamics of a system of particles (70F20) 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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