Variational integrators and time-dependent Lagrangian systems

DOI10.1016/S0034-4877(02)80017-9zbMath1014.37050arXivmath-ph/0201039OpenAlexW2011346664MaRDI QIDQ1853808

Manuel de León, David Martín de Diego

Publication date: 22 January 2003

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0201039

zbMATH Keywords

symplectic integratorvariational algorithmtime-dependent Lagrangian

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Hamilton's principle (70H25) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Lagrange's equations (70H03)

Related Items (6)

Geometric integrators and nonholonomic mechanics ⋮ Discrete variational integrators and optimal control theory ⋮ Variational discretization of thermodynamical simple systems on Lie groups ⋮ Higher-order discrete variational problems with constraints ⋮ Some new discretizations of the Euler-Lagrange equation ⋮ A Hamiltonian pertubation approach to construction of geometric integrators for optimal control problems

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• Mechanical integrators derived from a discrete variational principle
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Non-holonomic integrators
• Symplectic-energy-momentum preserving variational integrators

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