Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints
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DOI: 10.1007/s10444-017-9520-5
Abstract: In this work, variational integrators of higher order for dynamical systems with holonomic constraints are constructed and analyzed. The construction is based on approximating the configuration and the Lagrange multiplier via different polynomials. The splitting… read more here.
Keywords: order; analysis; variational integrators; higher order ... See more keywords
Line integral solution of Hamiltonian systems with holonomic constraints
Sign Up to like & getrecommendations! Published in 2018 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.12.014
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… read more here.
Keywords: line integral; hamiltonian systems; holonomic constraints; systems holonomic ... See more keywords