Helmholtz's inverse problem of the discrete calculus of variations

DOI10.1080/10236198.2012.754435zbMath1281.39005arXiv1203.1209OpenAlexW2031833512MaRDI QIDQ2855197

Jacky Cresson, Loïc Bourdin

Publication date: 24 October 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1209

zbMATH Keywords

Lagrangian systemsdiscrete calculus of variationsHelmholtz's inverse problemsecond-order finite difference equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Discrete version of topics in analysis (39A12)

Related Items (5)

Comment on ``Symplectic integration of magnetic systems: A proof that the Boris algorithm is not variational ⋮ The inverse problem of the calculus of variations for discrete systems ⋮ Necessary condition for an Euler-Lagrange equation on time scales ⋮ Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus ⋮ Geometry of the discrete Hamilton-Jacobi equation: applications in optimal control

Cites Work

• Time scale differential, integral, and variational embeddings of Lagrangian systems
• Optimality conditions for the calculus of variations with higher-order delta derivatives
• A variational complex for difference equations
• Discrete mechanics and variational integrators

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