Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints
arXiv:2203.03275 · doi:10.4208/jcm.2301-m2022-0065
Abstract
In this paper, we define arbitrarily high-order energy-conserving methods for Hamiltonian systems with quadratic holonomic constraints. The derivation of the methods is made within the so-called line integral framework. Numerical tests to illustrate the theoretical findings are presented.
31 pages, 6 figures, 3 tables