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The Helmholtz conditions for the difference equations systems. (English) Zbl 0894.70001
Summary: This paper presents analogues of the Helmholtz conditions for first and second order difference equation systems. We obtain variational implicit algorithms used in numerical analysis and numerical integration schemes for Hamilton’s systems, and give some representative examples.
MSC:
70-08 Computational methods for problems pertaining to mechanics of particles and systems
70H05 Hamilton’s equations
39A10 Additive difference equations
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