Thomas Lewis, Ph.D. Assistant Professor of Mathematics, Department of Mathematics and Statistics, The University of North Carolina at Greensboro
Friday, March 29, 2019
3-4 p.m.
103A Walker Hall
This talk is free and open to the public
The talk will consist of two parts. The first part will serve as an introduction to numerical methods with an emphasis on the need for mathematical analysis. The second part of the talk will focus on motivating monotone methods for approximating solutions to fully nonlinear differential equations. The definition of a viscosity solution will be introduced using ideas from differential calculus. We will then focus on how to discretize the key aspects of the definition using difference quotients. We end with the celebrated convergence result of Barles-Souganidis for fully nonlinear equations which serves as a generalization of the Lax-Richtmyer equivalence theorem for linear differential equations. Sponsored by the Department of Mathematical Sciences. Please contact Quinn Morris morrisqa@appstate.edu or Travis Weiland weilandtj@appstate.edu or visit our department colloquium website https://mathsci.appstate.edu/activities-outreach/department-colloquia to view more information and see other upcoming events.
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About the Department of Mathematical Sciences
The Department of Mathematical Sciences offers undergraduate degrees in actuarial science and mathematics, with concentrations in business, computation, life sciences, physical sciences, secondary teaching and statistics, plus a general, self-designed concentration. The department also offers the Master of Arts in mathematics, with concentrations in college teaching and secondary teaching. Learn more at https://mathsci.appstate.edu.
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