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Line integral solution of Hamiltonian systems with holonomic constraints

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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… Click to show full abstract

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.

Keywords: line integral; hamiltonian systems; holonomic constraints; systems holonomic; integral solution

Journal Title: Applied Numerical Mathematics
Year Published: 2018

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