Line Integral Solution of Hamiltonian Systems with Holonomic Constraints

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.

arXiv comment30 pages, 3 figures, 4 tables

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Cited by in corpus (6)

• High-order energy-conserving Line Integral Methods for charged particle dynamics
• Line Integral solution of Hamiltonian PDEs
• A note on the continuous-stage Runge-Kutta-(Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs)
• Spectrally accurate space-time solution of Manakov systems
• Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints
• Continuous-Stage Runge-Kutta approximation to Differential Problems