Radial Basis Function Approximation and Applications


Xingping Sun

Department of Mathematics
Missouri State University  
Springfield, MO 65804, USA   
Email: sun@math.smsu.edu 

Abstract :  Radial Basis Functions (RBF) have recently found many applications in a diverse areas of mathematics and engineering, including image processing, machine learning, Monte Carlo methods, neural networks, and numerical solutions of PDE. RBF provide an efficient tool for dealing with scattered data in higher dimensional Spaces. In this talk, we will survey some recent results on RBF approximation and interpolation. We will emphasize the interactions of RBF methods with Numerical Linear Algebra.

Lecture Slide