Monday July 25/3:30
Symplectic Discretization Schemes for Dynamical Applications
For conservative models of complex biomolecules, astrophysical many-body systems, and multiple rigid body mechanisms and manipulators, recent theoretical and numerical work has shown that a discretization scheme should be symplectic, i.e. it should preserve an important geometrical invariant of the flow. Numerous symplectic methods have been developed, but there remain many open questions. The speakers will discuss important recent results in this research, including the treatment of constraints in Hamiltonian systems and the development of Lie-Poisson integrators.
Organizers: Benedict J. Leimkuhler, University of Kansas, Lawrence and James C. Scovel, Los Alamos National Laboratory
- 3:30: Symplectic Integration of Hamiltonian Systems with Symmetry. James C. Scovel, Co-organizer, and R. McClachlan, Los Alamos National Laboratory
- 4:00: Symplectic Discretization Schemes for Macromolecular Dynamics and Multibody Systems. Eric J. Barth, University of Kansas, Lawrence; and Benedict J. Leimkuhler, Co-organizer
- 4:30: A Constraint-Preserving Symplectic Integrator for Hamiltonian Systems. Laurent Jay, University of Geneva, Switzerland
- 5:00: Symplectic Integrators, Energy and Efficiency. Benedict J. Leimkuhler, Co-organizer