Date of Award
Master of Science (MS)
We present here a new stable algorithm for the small ϵ (ﬂat basis function) limit in Radial Basis Function interpolation. Based of of the successes of previous methods, such as RBF-QR, we extend to the 2-D non-periodic domain using the Gaussian basis function. This new method, RBF-GA, shows substantial improvement in accuracy and conditioning over the RBF-Direct method, and it is also easy to implement. The theory involved can readily be extended to higher numbers of dimensions.
Powell, Collin Eugene, "A Stable Numerical Algorithm for Near-Flat Radial Basis Functions" (2011). Applied Mathematics Graduate Theses & Dissertations. 23.