Energy conserving nonholonomic integrators

Details Energy conserving nonholonomic integrators Energy conserving nonholonomic integrators

2002-09-24

arxiv.org/abs/math/0209314v2

Discrete and Continuous Dynamical Systems, added volume (2003), 189-199

Mathematics

Numerical Analysis

10 pages, no figures. To appear in Discrete and Continuous Dynamical Systems

Scientific paper

We address the problem of constructing numerical integrators for nonholonomic Lagrangian systems that enjoy appropriate discrete versions of the geometric properties of the continuous flow, including the preservation of energy. Building on previous work on time-dependent discrete mechanics, our approach is based on a discrete version of the Lagrange-d'Alembert principle for nonautonomous systems.

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