| Speaker: | Alexander Kurganov, Tulane University |
| Title: | Particle method: advantages, limitations, and future perspectives |
| Time: | 3:00-4:00 pm |
| Place: | Blocker 628 |
This talk is devoted to deterministic particle methods, originally
developed for solving linear transport equations. The mathematical idea
behind this type of methods is very simple: seek for a solution of the
time dependent PDE as a linear combination of Dirac delta-functions whose
weights and locations change in time. Their evolution is described by a
system of ODEs, which has to be solved numerically.
I will concentrate on several aspects of practical implementation of
deterministic particle methods related to the recovery of point values
from particle approximations, merging and redistributing particles, and
different ways of treating diffusion and dispersion terms.
I will also present a hybrid finite-volume-particle method that allows one
to take an advantage of non-dissipative nature of particle methods even
in problems that cannot be solved by a "pure" particle method.
Last revised: 10/23/06 By: christov@math