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 - <p style="text-align: justify;">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.</p>