A note for Lie-Poisson Hamilton-Jacobi equation and Lie-Poisson integrator

DOI10.1016/0898-1221(95)00126-JzbMath0837.58015OpenAlexW2075859997MaRDI QIDQ1900547

S.-T. Li, Meng-Zhao Qin

Publication date: 13 May 1996

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

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00126-j

zbMATH Keywords

generating function methodsLie-Poisson integratormomentum-preserving integrator

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (4)

Lie-Poisson integration for rigid body dynamics ⋮ Symplectic structure of Poisson system ⋮ Structure-Preserving Numerical Methods for Stochastic Poisson Systems ⋮ Preserving Poisson structure and orthogonality in numerical integration of differential equations

Cites Work

• Equivariant symplectic difference schemes and generating functions
• Integrators for Lie-Poisson dynamical systems
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
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