Arbitrarily High-Order Energy-Conserving Methods for Hamiltonian Problems with Quadratic Holonomic Constraints

Authors

  • Pierluigi Amodio
  • Luigi Brugnano
  • Gianluca Frasca-Caccia
  • Felice Iavernaro

DOI:

https://doi.org/10.4208/jcm.2301-m2022-0065

Keywords:

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

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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Published

2024-04-09

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Issue

Vol. 42 No. 4 (2024)

Section

Articles

How to Cite

Arbitrarily High-Order Energy-Conserving Methods for Hamiltonian Problems with Quadratic Holonomic Constraints. (2024). Journal of Computational Mathematics, 42(4), 1145-1171. https://doi.org/10.4208/jcm.2301-m2022-0065