Lie-Poisson integration for rigid body dynamics

DOI10.1016/0898-1221(95)00150-WzbMath0834.70006OpenAlexW2076866002MaRDI QIDQ1903212

S.-T. Li, Meng-Zhao Qin

Publication date: 26 November 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00150-w

zbMATH Keywords

composition methodPoisson schemeheavy topsplitting midpoint rule

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Free motion of a rigid body (70E15)

Related Items (5)

Runge-Kutta collocation methods for rigid body lie-poisson equations ⋮ Geometric methods and formulations in computational multibody system dynamics ⋮ Symplectic structure of Poisson system ⋮ Poisson integrators ⋮ Preserving Poisson structure and orthogonality in numerical integration of differential equations

Cites Work

• Integrators for Lie-Poisson dynamical systems
• Construction of higher order symplectic schemes by composition
• Almost Poisson integration of rigid body systems
• Poisson schemes for Hamiltonian systems on Poisson manifolds
• Equivariant constrained symplectic integration
• A note for Lie-Poisson Hamilton-Jacobi equation and Lie-Poisson integrator
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
• Explicit Lie-Poisson integration and the Euler equations
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