Symplectic algorithms based on the principle of least action and generating functions
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Publication:2894907
DOI10.1002/NME.3245zbMath1242.70004OpenAlexW2153401004MaRDI QIDQ2894907
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Publication date: 2 July 2012
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.3245
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
Related Items (6)
A symplectic direct method for motion-driven optimal control of mechanical systems ⋮ New way to construct high order Hamiltonian variational integrators ⋮ Coupled orbit-attitude dynamics of tethered-SPS ⋮ A novel nonsmooth dynamics method for multibody systems with friction and impact based on the symplectic discrete format ⋮ Hamiltonian system-based analytic modeling of the free rectangular thin plates' free vibration ⋮ A nonsmooth contact dynamic algorithm based on the symplectic method for multibody system analysis with unilateral constraints
Cites Work
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- Variational time integrators
- Discrete mechanics and variational integrators
- Symplectic integration of Hamiltonian systems
- Energy-stepping integrators in Lagrangian mechanics
- Symplectic-energy-momentum preserving variational integrators
- The Hamilton-Jacobi method and Hamiltonian maps
- Total variation in Hamiltonian formalism and symplectic-energy integrators
- Solving Ordinary Differential Equations II
- Geometric Numerical Integration
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