Description: |
[DMS Seminar] Dr Ratikanta Behera (IISER Kolkata) -- Application of Wavelets to PDEs and Signal Analysis |
Date: |
Monday, Jan 29, 2018 |
Time: |
3:15 p.m. - 4:15 p.m. |
Venue: |
G08, Lecture Hall Complex |
Details: |
We examine two central regularization Wavelet analysis is a new numerical concept, which allows one to represent a function in terms of basis functions. Their power lies in the fact that they only require a small number of coefficients to represent general functions and large data sets accurately. This allows compression and efficient computations. Thus the adaptive wavelet-based 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. Further, developing a truly adaptive method for signal analysis is important for the understanding of many natural phenomena. I will discuss the behavior of wavelet and short time Fourier transform- based synchrosqueezing transform and focus on the analysis of a variant of the synchrosqueezing transform to deal with modes containing strong frequency modulation. |
Calendar: |
Seminar Calendar (entered by saugata.bandyopadhyay) |