Fall 2015
Seminars are held on Mondays from 2:30 - 3:30PM in Cullimore Hall, Room 611, unless noted otherwise. For questions about the seminar schedule, please contact David Shirokoff.
Date: November 2, 2015
Speaker: Lina Ma
Department of Mathematics,
Pennsylvania State University
Title: "Efficient Spectral Methods on PDE in Spherical Domain"
Abstract:
Many mathematical models are related to 3D vector space in spherical domains. The model discussed in this talk is a interface dynamo model for the sun and an exterior problem of time harmonic Maxwell Equations. Scalar/vector Spherical harmonic functions are introduced in order to cooperate with spherical coordinates. By performing spherical harmonic analysis, we can turn global operators into local operators, and reduce dimension of the problem, in addition, one can increase computational efficiency and accuracy by applying the high-order spectral methods.