This webpage contains the final report of Mr.
Alexandru Cibotarica, a graduate student at University of Southern Mississippi, who completed a  course entitled "Meshless Methods for Solving Partial Differential Equations" under Professor C.S. Chen in fall semester 2010.  
 Final Report
PDF file     Matlab code
The contents of the course include the following topics:

1. Radial basis functions for surface reconstruction
2. The method of approximate particular solutions
4. Numerical solutions for general elliptic partial differential equations. 

The materials of the course are based on the manuscript of a research monograph entitled “Scientific Computing with Radial Basis Functions” and the following book chapter and papers.