S Lall and M West 2006 J. Phys. A: Math. Gen. 39 5509 doi:10.1088/0305-4470/39/19/S11
S Lall and M West
Show affiliationsThe 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.
45.20.Jj Lagrangian and Hamiltonian mechanics
Issue 19 (12 May 2006)
Received 13 October 2005
Published 24 April 2006
S Lall and M West 2006 J. Phys. A: Math. Gen. 39 5509
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