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.
Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints / Pierluigi Amodio, Luigi Brugnano, Gianluca Frasca-Caccia, Felice Iavernaro. - In: JOURNAL OF COMPUTATIONAL MATHEMATICS. - ISSN 0254-9409. - STAMPA. - (2024), pp. 1145-1171. [10.4208/jcm.2301-m2022-0065]
Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints
Luigi Brugnano
;
2024
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.File | Dimensione | Formato | |
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