Symplectic structure of Poisson system
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Publication:957654
DOI10.1007/BF03246255zbMath1170.70308MaRDI QIDQ957654
Yimin Tian, Zhong-Qi Ma, Meng-Zhao Qin, Jian-Qing Sun
Publication date: 1 December 2008
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Theoretical approximation of solutions to ordinary differential equations (34A45) Free motion of a rigid body (70E15) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)
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Cites Work
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- Poisson schemes for Hamiltonian systems on Poisson manifolds
- A novel numerical approach to simulating nonlinear Schrödinger equations with varying coeffi\-cients
- A note for Lie-Poisson Hamilton-Jacobi equation and Lie-Poisson integrator
- Lie-Poisson integration for rigid body dynamics
- Explicit Lie-Poisson integration and the Euler equations
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