@Article{JCM-42-4, author = {Pierluigi, Amodio and Luigi, Brugnano and Gianluca, Frasca-Caccia 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 = {https://global-sci.com/article/91092/arbitrarily-high-order-energy-conserving-methods-for-hamiltonian-problems-with-quadratic-holonomic-constraints} }