Title: Adaptive Multiwavelet solutions for a class of Advection-Diffusion equations


			     Vani Cheruvu
			    colorado Univ.
                  Email: Vani.Cheruvu@colorado.edu


Abstract:
Semigroup approach is used to convert the advection-diffusion equations to
nonlinear integral equations. The exponentials, obtained from the 
discretization of these equations by exact linear part schemes, are evaluated 
using scaling and squaring method. Adaptive solvers are developed for 
nonlinear partial differential equations by representing the derivative and 
exponential operators in multiwavelets. Separated rank representation is used 
to solve the problems in two and three dimensions.
 In this talk, I present a fast adaptive algorithm for nonlinear partial
differential equations of advection-diffusion type.