Computer algebra solution of the inverse problem in the calculus of variations

DOI10.1016/S0010-4655(98)00128-3zbMath0995.49022MaRDI QIDQ1807995

J. E. Aldridge, Geoff Prince

Publication date: 30 November 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

Euler-Lagrange equationsHelmholtz conditionsinverse problem in the calculus of variationsLagrangiansCartan formDimsymEDSEXCALC

Mathematics Subject Classification ID

Inverse problems in optimal control (49N45) Software, source code, etc. for problems pertaining to calculus of variations and optimal control (49-04)

Related Items (1)

Thirty years of the inverse problem in the calculus of variations

Uses Software

• EDS
• REDUCE
• DIMSYM
• EXCALC

Cites Work

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• The inverse problem in the calculus of variations and the geometry of the tangent bundle
• Projective differential geometry and geodesic conservation laws in general relativity. I: Projective actions
• Projective differential geometry and geodesic conservation laws in general relativity. II: Conservation laws
• EDS: A REDUCE package for exterior differential systems
• DIMSYM and LIE: Symmetry determination packages
• The Hamilton-Cartan formalism in the calculus of variations
• The Helmholtz conditions revisited. A new approach to the inverse problem of Lagrangian dynamics
• A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics
• Generalized Bianchi identities for horizontal distributions
• Generalising gauge variance for spherically symmetric potentials
• Alternative Lagrangians for spherically symmetric potentials
• The inverse problem of the calculus of variations for ordinary differential equations
• Towards a geometrical understanding of Douglas's solution of the inverse problem of the calculus of variations
• Lagrangians for spherically symmetric potentials
• A generalization of the Liouville–Arnol'd theorem
• On the inverse problem of the calculus of variations

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