Lie-Poisson integrators: A Hamiltonian, variational approach

DOI10.1002/nme.2812zbMath1193.70004OpenAlexW2053683904MaRDI QIDQ3586893

Zhanhua Ma, Clarence W. Rowley

Publication date: 1 September 2010

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.2812

zbMATH Keywords

Hamiltonianvariational integratorsLie-Poisson systems

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (5)

A novel formulation of point vortex dynamics on the sphere: geometrical and numerical aspects ⋮ Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups ⋮ Geometric methods and formulations in computational multibody system dynamics ⋮ Clebsch canonization of Lie-Poisson systems ⋮ Discrete Hamiltonian variational mechanics and Hamel's integrators

Cites Work

• Unnamed Item
• Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties
• Dynamics of perturbed relative equilibria of point vortices on the sphere or plane
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Integrable decomposition methods and ensemble averaging for non-integrableN-vortex problems
• Discrete mechanics and variational integrators
• Wave and vortex dynamics on the surface of a sphere
• Point vortices on a sphere: Stability of relative equilibria
• Geometric Numerical Integration

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