Symplectic algorithms based on the principle of least action and generating functions

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

zbMATH Keywords

dualgenerating functionHamiltonian systemsymplecticprinciple of least action

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 (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

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• 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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