On variations in discrete mechanics and field theory

DOI10.1063/1.1621058zbMath1063.70015arXivhep-th/0112239OpenAlexW2081782789MaRDI QIDQ4833219

Han Ying Guo, Ke Wu

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/0112239

zbMATH Keywords

Hamilton's principleEuler-Lagrange cohomologydifference-variational approachvariable step-length

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Hamilton's equations (70H05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (5)

Difference discrete connection and curvature on cubic lattice ⋮ First variation formula for discrete variational problems in two independent variables ⋮ First variation formula and conservation laws in several independent discrete variables ⋮ Discrete formulation for the dynamics of rods deforming in space ⋮ Local structure-preserving algorithms for partial differential equations

Cites Work

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• Asynchronous variational integrators
• General volume-preserving mechanical systems
• The Moser-Veselov equation
• Difference Discrete Variational Principles, Euler–Lagrange Cohomology and Symplectic, Multisymplectic Structures I: Difference Discrete Variational Principle
• Difference Discrete Variational Principle, Euler–Lagrange Cohomology and Symplectic, Multisymplectic Structures II: Euler–Lagrange Cohomology
• Difference Discrete Variational Principles, Euler–Lagrange Cohomology and Symplectic, Multisymplectic Structures III: Application to Symplectic and Multisymplectic Algorithms
• On Symplectic and Multisymplectic Structures and Their Discrete Versions in Lagrangian Formalism
• Corrigenda to: Introduction to Symplectic Topology

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