Nonlocal Operators and Sparse Solvers for PDE's

Monday, December 3, 2012 - 9:00am - 9:50am
Keller 3-180
Stanley Osher (University of California, Los Angeles)
We review work with Guy Gilboa on the use of nonlocal operators to
define new types of functionals for image processing and elsewhere. This
gives an advantage in handling textures and repetitive structures.
then we will discuss new joint work with Hayden Schaeffer, Russle Caflisch
and Cory Hauck on sparse solvers for multiscale PDE. we seem to automatically very efficiently represent the dynamics of multiscale PDE's
including Navier-Stokes equation, with a very simple sparsification idea.
MSC Code: