Fall 2012, Thursdays, Milner 216, 4:00-4:50 PM

Date: November 15

"  Fast algorithms to solve some important partial differential equations "
 Aditi Ghosh  


Fast techniques serve as an important tool to solve di erent partial differential equations. In this talk I will present some fast algorithms to solve Cauchy Riemann equation, Beltrami equation, Poisson equation and Bi-harmonic equation. The algorithms are based on the representation of the solution in terms of double integral, some recursive relations in Fourier space and fast Fourier transform. The numerical evaluation of the double integrals has been optimized giving an asymptotic operation count O(ln N) per point on the average. These algorithms has wide applicationsin fluid dynamics and solid mechanics and some of them will be discussedbriefy. No prior background is needed to attend this talk.