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First integrals in the discrete variational calculus


The intent of this paper is to show that first integrals of the discrete Euler equation can be determined explicitly by investigating the invariance properties of the discrete Lagrangian. The result obtained is a discrete analog of the classical theorem of E. Noether in the Calculus of Variations.

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Logan, J.D. First integrals in the discrete variational calculus. Aeq. Math. 9, 210–220 (1973).

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  • Euler Equation
  • Invariance Property
  • Discrete Analog
  • Classical Theorem
  • Variational Calculus