PHD DISSERTATION PROPOSAL PRESENTATION - A GENERALIZED MULTILEVEL ADAPTIVE SOLVER FOR PDES WITH FAST TRANSITIONS (No. 136)
TIME:
4:30 PM
LOCATION:
GMCS-214
SPEAKER:
Alfonso Limon
School of Mathematics
Claremont Graduate University
ABSTRACT:
Whether tracking the eye of a storm, the leading edge of a wildfire, or the front of a chemical reaction, one finds that significant change occurs at the thin edge of an advancing line. The tracking of such change-fronts comes in myriad forms with a wide variety of applications. Our research over the past two years combines fast multiresolution methods with the freedom of gridless techniques to arrive at a robust and accurate PDE solver for systems exhibiting fast transitions. Our method is unique because it unifies collocation, mesh refinement and solution strategy under one underlying wavelet-like representation. These attributes, as well as the method's inherent parallelizability, make it ideally suitable for scientific inquiry via in silico experiments.
