Total variation in Hamiltonian formalism and symplectic-energy integrators
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Publication:4832970
DOI10.1063/1.1559642zbMath1062.37102arXivhep-th/0111185OpenAlexW2064384305MaRDI QIDQ4832970
Han Ying Guo, Ke Wu, Jing-Bo Chen
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0111185
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
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Cites Work
- Integrable Lagrangian correspondences and the factorization of matrix polynomials
- Integrable discrete-time systems and difference operators
- Discrete versions of some classical integrable systems and factorization of matrix polynomials
- Multisymplectic geometry, variational integrators, and nonlinear PDEs
- Mechanical integrators derived from a discrete variational principle
- Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
- On Symplectic and Multisymplectic Structures and Their Discrete Versions in Lagrangian Formalism
- A Note on Symplectic Algorithm
- Symplectic-energy-momentum preserving variational integrators
- Multi-symplectic structures and wave propagation
- Unstable eigenvalues and the linearization about solitary waves and fronts with symmetry