Arbitrarily High-Order Energy-Conserving Methods for Hamiltonian Problems with Quadratic Holonomic Constraints
Year: 2024
Author: Pierluigi Amodio, Luigi Brugnano, Gianluca Frasca-Caccia, Felice Iavernaro
Journal of Computational Mathematics, Vol. 42 (2024), Iss. 4 : pp. 1145–1171
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2301-m2022-0065
Journal of Computational Mathematics, Vol. 42 (2024), Iss. 4 : pp. 1145–1171
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Constrained Hamiltonian systems Quadratic holonomic constraints Energy-conserving methods Line integral methods Hamiltonian Boundary Value Methods HBVMs.