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Energy-conserving nonholonomic integrators
J. Cortés
Discrete and Continuous Dynamical Systems, added volume (2003), 189-199

Abstract

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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Mechanical and Aerospace Engineering, University of California, San Diego
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