## Colloquium: “Scattered Data Approximation with Radial Basis Functions”

Marshall University Math Colloquium

March 5, 2004

Scott Sarra

*Marshall University*

**Abstract**

Over the last several decades radial basis functions (RBFs) have been found to be widely successful for the interpolation of scattered data. More recently, RBF methods have emerged as an important type of method for the numerical solution of partial differential equations. In this talk we will describe the RBF approximation method and discuss why it is successful when other methods fail. We will also examine some current RBF research topics.