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2006 J. Phys. A: Math. Gen. 39 5509-5519 doi: 10.1088/0305-4470/39/19/S11
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Abstract. The main contribution of this paper is to present a canonical choice of a Hamiltonian theory corresponding to the theory of discrete Lagrangian mechanics. We make use of Lagrange duality and follow a path parallel to that used for construction of the Pontryagin principle in optimal control theory. We use duality results regarding sensitivity and separability to show the relationship between generating functions and symplectic integrators. We also discuss connections to optimal control theory and numerical algorithms.
PACS numbers: 02.30.Hq, 02.40.−k, 02.60.Jh
Mathematics Subject Classification: 34A26, 49N15
Print publication: Issue 19 (12 May 2006) |
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