Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints
Numerical Analysis
2024-04-11 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2203.03275,
title = {Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints},
author = {P. Amodio and L. Brugnano and G. Frasca-Caccia and F. Iavernaro},
journal= {arXiv preprint arXiv:2203.03275},
year = {2024}
}
Comments
31 pages, 6 figures, 3 tables