A Changing-Chart Symplectic Algorithm for Rigid Bodies and Other Hamiltonian Systems on Manifolds

DOI10.1137/S1064827500381720zbMath1002.65136OpenAlexW2089590357MaRDI QIDQ2780574

Giancarlo Benettin, Anna Maria Cherubini, Francesco Fassoò

Publication date: 15 April 2002

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

Full work available at URL: https://doi.org/10.1137/s1064827500381720

zbMATH Keywords

algorithmsplitting methodsrigid bodysymplectic integratorsconstrained Hamiltonian systemsflows on manifolds

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Motion of a rigid body with a fixed point (70E17)

Related Items (8)

A numerical test of long-time stability for rigid body integrators ⋮ Line integral solution of Hamiltonian systems with holonomic constraints ⋮ Comparison of splitting algorithms for the rigid body. ⋮ A variational splitting integrator for quantum molecular dynamics. ⋮ A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions ⋮ Adiabatic chaos in the spin-orbit problem ⋮ Variational and geometric structures of discrete Dirac mechanics ⋮ Preserving Poisson structure and orthogonality in numerical integration of differential equations

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