Line integral solution of Hamiltonian systems with holonomic constraints

In this paper, we propose a second order energy-conserving approximation procedure for Hamiltonian systems with holonomic constraints. The derivation of the procedure relies on the use of the so-called line integral framework. We provide numerical experiments to illustrate theoretical findings.

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Bibliographic Details
Published in:	Applied numerical mathematics Vol. 127; pp. 56 - 77
Main Authors:	Brugnano, Luigi, Gurioli, Gianmarco, Iavernaro, Felice, Weinmüller, Ewa B.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-05-2018
Subjects:	Constrained Hamiltonian systems Energy-conserving methods Hamiltonian boundary value methods HBVMs Holonomic constraints Line integral methods Constrained Hamiltonian systems Energy-conserving methods Holonomic constraints Line integral methods HBVMs Hamiltonian boundary value methods
Online Access:	Get full text
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Description
Summary:	In this paper, we propose a second order energy-conserving approximation procedure for Hamiltonian systems with holonomic constraints. The derivation of the procedure relies on the use of the so-called line integral framework. We provide numerical experiments to illustrate theoretical findings.
ISSN:	0168-9274 1873-5460
DOI:	10.1016/j.apnum.2017.12.014