arXiv:1501.03203 Abstract | arXiv Analytics

arXiv:1501.03203 [math.NA]Abstract References Reviews Resources

Continuous versus discrete structures II -- Discrete Hamiltonian systems and Helmholtz conditions

Published 2015-01-13Version 1

We define discrete Hamiltonian systems in the framework of discrete embeddings. An explicit comparison with previous attempts is given. We then solve the discrete Helmholtz's inverse problem for the discrete calculus of variation in the Hamiltonian setting. Several applications are discussed.

Categories: math.NA, math.DS

Keywords: discrete structures, helmholtz conditions, define discrete hamiltonian systems, discrete helmholtzs inverse problem, discrete embeddings

Related articles:

arXiv:1411.7117 [math.NA] (Published 2014-11-26)

Continuous versus discrete structures I -- Discrete embeddings and ordinary differential equations

Jacky Cresson, Frédéric Pierret