There are still some essential issues not well studied or even untouched due to great difficulties involved. The purposes of our recent works are to study the RBF from some new distinct views of points. We have completed several papers listed below. Numerical experiments of the BKM, BPM, and MKM are very encouraging. The proposed wavelets RBF, space-time RBFs may be fundamentally important to the RBF theory and its broad applications to PDEs, neural network, computational geometry, data processing and inverse problems.
Some active studies are currently under way.
We will report more advances in the near future. 10, 17-22, Tokyo, Japan, 2000. Workshop Meshfree Methods for Partial Differential Equations, 2001.