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.
Author Details
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Recent advances in the numerical solution of the Nonlinear Schrödinger Equation
Barletti, Luigi
Brugnano, Luigi
Gurioli, Gianmarco
Iavernaro, Felice
Journal of Computational and Applied Mathematics, Vol. 445 (2024), Iss. P.115826
https://doi.org/10.1016/j.cam.2024.115826 [Citations: 1]