Kosmas O, Leyendecker S (2014)
Publication Language: English
Publication Type: Conference contribution, Conference Contribution
Publication year: 2014
In the present work, we derive a family of higher order exponential variational
integrators for the numerical integration of systems containing slow and fast potential forces.
To increase the order of variational integrators, first the discrete Lagrangian in a time interval
is defined as a weighted sum of the evaluation of the continuous Lagrangian at intermediate
time nodes while expressions for configurations and velocities are obtained using interpolating
functions that can depend on free parameters. Secondly, in order to choose those parameters
appropriately, exponential integration techniques are embedded. When the potential can be
split into a fast and a slow component, we use dierent quadrature rules for the approximation
of the dierent parts in the discrete action. Finally, we study the behavior of this family of
integrators in numerical tests.
Kosmas, O., & Leyendecker, S. (2014). Family of higher order exponential integrators for split potential systems. In Proceedings of the International Conference on Mathematical Modeling in Physical Sciences. Madrid, ES.
Kosmas, Odysseas, and Sigrid Leyendecker. "Family of higher order exponential integrators for split potential systems." Proceedings of the International Conference on Mathematical Modeling in Physical Sciences, Madrid 2014.