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