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College of Liberal Arts and Sciences | Mathematics

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November 26, 2018 | 2:45 p.m. - 4:00 p.m.
Category: Lecture
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker: Thomas Hagstrom, Southern Methodist University

Title: Hermit Interpolation and Differential Equations

Abstract: An amazing property of Hermite interpolation is that it is a projection in a Sobolev seminorm. As a result, in constrast with the usual Lagrange interpolant, Hermite interpolation has a smoothing e ect. We show how to exploit this projection property to develop Hermite-based solvers for differential equations with novel properties. For hyperbolic pdes, Hermite methods admit order-independent time steps and highly localized evolution processes which can be exploited on modern computer architectures. For initial value problems one can develop implicit schemes of arbitrary order for which the system size is also order-independent.

For more information about this event, please contact Department of Mathematics at 3135772479 or math@wayne.edu.