Graduate Thesis Or Dissertation

 

A Stable Numerical Algorithm for Near-Flat Radial Basis Functions Public Deposited

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https://scholar.colorado.edu/concern/graduate_thesis_or_dissertations/2z10wq547
Abstract
  • 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.
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  • 2011
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  • 2019-11-17
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