| Speaker: | Siu Chin, Department of Physics, Texas A&M University |
| Title: | Forward Symplectic Integrators For Solving Physical Dynamic Problems |
| Time: | 3:00-4:00 pm |
| Place: | Blocker 628 |
Fundamental physical equations, such as those of Newton, Maxwell and and Schroedinger, are a highly selective class of differential equations singled out by nature. General numerical methods that can be applied to solve any differential equations therefore by their generality cannot be the most efficient one for solving physical dynamic problems. In this talk, I will discuss the derivation, sturcture and applications of symplectic integrators, which is a class of algorithms derived on the basis of factorizing, or splitting, the evolution operator of the system. Classical symplectic integrators, beyond second order, must contain some backward going time steps, which are unphysical and cannot be applied to time-irreversible equations. I will also discuss recent advances in developing fourth-order forward time steps only symplectic algorithms for solving both time-reversible and time-irreversible dynamics.
Last revised: 01/23/06 By: sgkim@math.tamu.edu