73 citations · 670 across the 56 of their papers we have counts for
4 papers · 2 filters
Geometric numerical integration of nonholonomic systems and optimal control problems
M. de Leon, D. Martin de Diego, A. Santamaria Merino
A geometric derivation of numerical integrators for nonholonomic systems and optimal control problems is obtained. It is based in the classical technique of generating functions ad…
Geometric integrators and nonholonomic mechanics
M. de Leon, D. Martin de Diego, A. Santamaria Merino
A geometric derivation of nonholonomic integrators is developed. It is based in the classical technique of generating functions adapted to the special features of nonholonomic syst…
Variational integrators and time-dependent lagrangian systems
M. de Leon, D. Martin de Diego
This paper presents a method to construct variational integrators for time-dependent lagrangian systems. The resulting algorithms are symplectic, preserve the momentum map associat…
Nonholonomic constraints in classical field theories
E. Binz, M. de Leon, D. Martin de Diego +1
A multisymplectic setting for classical field theories subjected to non-holonomic constraints is presented. The infinite dimensional setting in the space of Cauchy data is also giv…