This webpage contains two major reports of Mr. Andrejasic Matej, a graduate student at University of Nova Gorica in Slovenia (Europe), who completed a course entitled "Meshless Methods and Other Advanced Numerical Methods" under Professor C.S. Chen thourgh the distance eduation in spring 2010.

- Final Project A
- PDF file Matlab code

- Final Project B
- PDF file Matlab code

1. Radial basis functions for surface reconstruction

2. The method of approximate particular solutions

3. Radial basis functions collocation method (Kansa’s
method)

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.

- M.A. Golberg and C.S. Chen, The method of fundamental solutions for potential, Helmholtz and diffusion problems, in Boundary Integral Methods - Numerical and Mathematical Aspects, ed. M.A. Golberg, Computational Mechanics Publications, 1998, pp.103-176. (PDF file 894K)
- C.S. Chen, Y.C. Hon, R.S. Schaback, Radial Basis Functions with Scientific Computation, Department of Mathematics, University of Southern Mississippi, 2010.
- P.H. Wen, C.S. Chen, The method of particular solution for solving scalar wave equations, to appear in Communication in Numerical Methods in Engineering.
- C.S. Chen, C.M. Fan, P.H. Wen, The Method of Particular Solutions for Solving Certain Partial Differential Equations, to appear in Numerical Methods for Partial Differential Equations. C.S. Chen, C.M. Fan, P.H. Wen, The Method of Particular Solutions for Solving Elliptic Problems with Variable Coefficients, to appear in Journal of Computational Methods.
- Greg Fasshauer, Meshfree Approximation Methods with MATLAB, Interdisciplinary Mathematical Sciences - Vol. 6, World Scientific Publishers, Singapore, 2007.