1 citations · 1 across the 3 of their papers we have counts for
4 papers
Lagrangian and Hamiltonian Taylor Variational Integrators
Jeremy Schmitt, Tatiana Shingel, Melvin Leok
In this paper, we present a variational integrator that is based on an approximation of the Euler--Lagrange boundary-value problem via Taylor's method. This can viewed as a special…
General Techniques for Constructing Variational Integrators
Melvin Leok, Tatiana Shingel
The numerical analysis of variational integrators relies on variational error analysis, which relates the order of accuracy of a variational integrator with the order of approximat…
Prolongation-Collocation Variational Integrators
Melvin Leok, Tatiana Shingel
We introduce a novel technique for constructing higher-order variational integrators for Hamiltonian systems of ODEs. In particular, we are concerned with generating globally smoot…
Splitting Methods for SU(N) Loop Approximation
Peter Oswald, Tatiana Shingel
The problem of finding the correct asymptotic rate of approximation by polynomial loops in dependence of the smoothness of the elements of a loop group seems not well-understood in…