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.
Line Integral Solution of Hamiltonian Systems with Holonomic Constraints / Luigi, Brugnano; Gianmarco, Gurioli; Felice, Iavernaro; Weinmüllerc, Ewa B.. - In: APPLIED NUMERICAL MATHEMATICS. - ISSN 0168-9274. - STAMPA. - 127:(2018), pp. 56-77. [10.1016/j.apnum.2017.12.014]
Line Integral Solution of Hamiltonian Systems with Holonomic Constraints
Luigi Brugnano;Gianmarco Gurioli;
2018
Abstract
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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