LJK-PhD Students Seminar

 

On Tuesday March 1 2016 at 15h00 in Salle 1 - Tour IRMA

 

Seminary of Mr Ratikanta BEHERA (UGA)

 

Adaptive wavelet-based methods for solution of PDEs

 

Summary

 

A dynamic adaptive numerical method for solving partial differential equations (PDEs) on the sphere is necessary to solve problems with localized structures or sharp transitions. The numerical solution of such problems on uniform grids is impractical, since high-resolution computations are required only in regions where sharp transitions occur. An adaptive wavelet collocation method provides a robust method for controlling spatial grid adaptation -- fine grid spacing in regions where a solution varies greatly (i.e., near steep gradients, or near-singularities) and a much coarser grid where the solution varies slowly, which I will discuss in this talk.