11 citations · 23 across the 3 of their papers we have counts for
3 papers
math.NA2008★ 1 cited
Error analysis of variational integrators of unconstrained Lagrangian systems
George W. Patrick, Charles Cuell
A complete error analysis of variational integrators is obtained, by blowing up the discrete variational principles, all of which have a singularity at zero time-step. Divisions by…
math-ph2008★ 11 cited
Geometric discrete analogues of tangent bundles and constrained Lagrangian systems
Charles Cuell, George W. Patrick
Discretizing variational principles, as opposed to discretizing differential equations, leads to discrete-time analogues of mechanics, and, systematically, to geometric numerical i…
math-ph2007★ 11 cited
Skew critical problems
C. Cuell, G. W. Patrick
Skew critical problems occur in continuous and discrete nonholonomic Lagrangian systems. They are analogues of constrained optimization problems, where the objective is differentia…