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November 9, 2017



Mathematics Colloquium lecture Nov. 9

By Reta McDermott

Talitha Washington, Howard University, will present "Finite Difference Schemes that Achieve Dynamical Consistency for Population Models" as part of the Mathematics Department Colloquium Lecture series at 2:30 p.m. Thursday, Nov. 9, in 114 Burt Hall.

This lecture is supported by the National Science Foundation.

Lecture abstract: In the late 1980's, Ronald Mickens of Clark Atlanta University introduced the concept of a nonstandard finite difference scheme, or NSFD, as a methodology which would best approximate solutions to systems of differential equations. Often in modeling with differential equations, conservation laws arise such as in population dynamics. In this talk, we discuss how various laws can lead to the construction of NSFD schemes. By using several well-known population models, we will illustrate the details of our procedures by constructing property preserving NSFD discretizations.

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