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Volume 42, Issue 4
Arbitrarily High-Order Energy-Conserving Methods for Hamiltonian Problems with Quadratic Holonomic Constraints

Pierluigi Amodio, Luigi Brugnano, Gianluca Frasca-Caccia & Felice Iavernaro

DOI: 10.4208/jcm.2301-m2022-0065

J. Comp. Math., 42 (2024), pp. 1145-1171.

Published online: 2024-04

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  • 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

Constrained Hamiltonian systems, Quadratic holonomic constraints, Energy-conserving methods, Line integral methods, Hamiltonian Boundary Value Methods, HBVMs.

  • AMS Subject Headings

65P10, 65L80, 65L06

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-42-1145, author = {Amodio , PierluigiBrugnano , LuigiFrasca-Caccia , Gianluca and Iavernaro , Felice}, title = {Arbitrarily High-Order Energy-Conserving Methods for Hamiltonian Problems with Quadratic Holonomic Constraints}, journal = {Journal of Computational Mathematics}, year = {2024}, volume = {42}, number = {4}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2301-m2022-0065}, url = {http://global-sci.org/intro/article_detail/jcm/23050.html} }
TY - JOUR T1 - Arbitrarily High-Order Energy-Conserving Methods for Hamiltonian Problems with Quadratic Holonomic Constraints AU - Amodio , Pierluigi AU - Brugnano , Luigi AU - Frasca-Caccia , Gianluca AU - Iavernaro , Felice JO - Journal of Computational Mathematics VL - 4 SP - 1145 EP - 1171 PY - 2024 DA - 2024/04 SN - 42 DO - http://doi.org/10.4208/jcm.2301-m2022-0065 UR - https://global-sci.org/intro/article_detail/jcm/23050.html KW - Constrained Hamiltonian systems, Quadratic holonomic constraints, Energy-conserving methods, Line integral methods, Hamiltonian Boundary Value Methods, HBVMs. AB -

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.

Amodio , PierluigiBrugnano , LuigiFrasca-Caccia , Gianluca and Iavernaro , Felice. (2024). Arbitrarily High-Order Energy-Conserving Methods for Hamiltonian Problems with Quadratic Holonomic Constraints. Journal of Computational Mathematics. 42 (4). 1145-1171. doi:10.4208/jcm.2301-m2022-0065
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