arXiv subjects

Jing-Bo Chen

Publications and source records attributed to Jing-Bo Chen.

2 recordsLinked to original sources

arXiv2001

Total Variation in Hamiltonian Formalism and Symplectic-Energy integrators

We present a discrete total variation calculus in Hamiltonian formalism in this paper. Using this discrete variation calculus and generating functions for the flows of Hamiltonian systems, we derive two-step symplectic-energy integrators of any finite order for Hamiltonian systems from a variational perspective. The relationship between symplectic integrators derived directly from the Hamiltonian systems and the variationally derived symplectic-energy integrators is explored.

hep-th↗

arXiv2001

Total Variation and Variational Symplectic-Energy-Momentum integrators

A discrete total variation calculus with variable time steps is presented in this letter. Using this discrete variation calculus, we generalize Lee's discrete mechanics and derive variational symplectic-energy-momentum integrators by Kane, Marsden and Ortiz. The relationship among discrete total variation, Lee's discrete mechanics and Kane-Marsden-Ortiz's integrators is explored.

hep-th↗