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Canonical difference scheme for the Hamiltonian equation
Author(s) -
Mengzhao Qin,
Törnig W.
Publication year - 1989
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670110409
Subject(s) - mathematics , infinitesimal , hamiltonian (control theory) , canonical transformation , canonical form , canonical coordinates , hamiltonian system , covariant hamiltonian field theory , first order , mathematical physics , mathematical analysis , pure mathematics , mathematical optimization , quantum mechanics , phase space , physics , quantum
In this paper we construct canonical difference schemes of any order accuracy based on Padé approximation for Linear canonical systems with constant coefficients. For non‐linear Hamiltonian equations we will use an infinitesimally canonical transformation to construct canonical schemes of any order accuracy.