Line Integral Solution of Hamiltonian Systems with Holonomic Constraints
arXiv:1704.0812814 citationsh-index: 36
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It offers an improved numerical integration method for constrained Hamiltonian systems, which is incremental for computational physics.
The paper proposes a second-order energy-conserving numerical method for Hamiltonian systems with holonomic constraints using a line integral framework, validated through numerical experiments.
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.