Department of Mathematics

Indian Institute of Science

Bangalore 560 012






Ratikant Behra 
Affiliation : IISER-Kolkata

Subject Area






Department of Mathematics, Lecture Hall I




03:00 p.m.




December 09, 2016 (Friday)



"Adaptive wavelet-based methods for solution of PDEs and
signal analysis."


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. Further, developing a truly adaptive method for signal analysis is important for the understanding of many natural phenomena. I will discuss the analysis of a variant of the second order synchrosqueezing transform to deal with modes containing strong frequency modulated signal.