SEMINAR

Department of Mathematics
University of Southern Mississippi

ABSTRACT

Approximations of functional derivatives are constructed through a process of mollification. The resultant functional approximations are analytic and are suitable for numerically solving partial differential equations. Since the derivatives are obtained analytically from a smooth approximation of the function, all derivatives at a point are available at any location in the domain during the numerical differentiation.

To demonstrate the workability of the concept, the technique is applied to a hyperbolic PDE, the De Laval nozzle problem in computational fluid dynamics.

WHERE: TEC 101

WHEN(day): Wednesday, October 29, 1997

WHEN(time): 12:00 NOON

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