Comparison of splitting algorithms for the rigid body.

DOI10.1016/S0021-9991(03)00232-8zbMath1041.70002MaRDI QIDQ1405161

Francesco Fassoò

Publication date: 25 August 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonianerror analysismoments of inertiasymplectic integratorsasymmetric rigid bodyflat rigid bodysecond-order splitting algorithms

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Free motion of a rigid body (70E15) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (7)

Tuning Symplectic Integrators is Easy and Worthwhile ⋮ Hamiltonian formulation and symplectic split-operator schemes for time-dependent density-functional-theory equations of electron dynamics in molecules ⋮ Error growth in the numerical integration of periodic orbits ⋮ Reducing round-off errors in rigid body dynamics ⋮ Numerical integration for the dynamics of the heavy magnetic top ⋮ Dedicated symplectic integrators for rotation motions ⋮ Runge-Kutta projection methods with low dispersion and dissipation errors

Cites Work

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• Momentum conserving symplectic integrators
• A Changing-Chart Symplectic Algorithm for Rigid Bodies and Other Hamiltonian Systems on Manifolds
• The accuracy of symplectic integrators
• Explicit Lie-Poisson integration and the Euler equations
• The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point

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