Analysis Seminar – Thomas Hangelbroek

When:
January 26, 2016 @ 3:30 pm – 4:30 pm
2016-01-26T15:30:00-10:00
2016-01-26T16:30:00-10:00
Where:
Keller 401

Speaker: Thomas Hangelbroek, UH-Manoa

Title: Kernel approximation and PDEs (Part 1 of 2)

Abstract: Fundamental solutions to elliptic partial differential equations can serve as a useful tool for solving a variety of computational problems (e.g., data fitting, denoising, quadrature, numerical solution of differential equations). In these talks, I’ll develop some key results about meshless approximation with kernels arising as solutions to elliptic PDE — focusing primarily on analytic properties which derive directly from the differential equation, such as their approximation power and localized structure. I’ll include a number of examples on spheres, the rotation group, compact Riemannian manifolds without boundary, and Euclidean regions with boundaries.