TOPIC : Applying Mollifyers to Numerically Solved PDE's

By Dr. Joseph Kolibal

University of Southern Mississippi

Summary and Comments: By Lee Emmanwori

A) Dr. Kolibal introduced the concept of Applying Mollifyers to Numerically Solved PDE's. He explained that through a process of mollification, approximations of functional derivatives are constructed. And that the resultant functional approximations are analytic and suitable for numerically solving partial differential equations.

B) Dr. Kolibal explained that techniques applicable to filtering or smoothing noisy functions g are subsumed within the theory of mollifyers. Mollifying a function g regularizes g by folding with a smooth function g^. The function g^ is smoother than g.

C) Dr. Kolibal demonstrated the workability of the concept and technique by applying it to a hyperbolic PDE of De Laval nozzle problem in computational fluid dynamics. He presented computational results in several graphical forms.