Title page for etd-0704117-151643


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URN etd-0704117-151643
Author Yu-Lang Li
Author's Email Address No Public.
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Department Applied Mathematics
Year 2016
Semester 2
Degree Master
Type of Document
Language English
Title Interpolation in the Limit of Increasingly Flat Hybrid Radial Basis Functions
Date of Defense 2017-06-29
Page Count 39
Keyword
  • singular limit
  • RBF
  • radial basis function
  • hybrid radial basis functions
  • Abstract Many types of radial basis functions have an additional free parameter, and as the parameter grows, these radial base functions will be flatness. We want to use these radial basis functions to create a function which could interpolate N points. In the case of only one radial basis function, when we solve the problem, although the coefficients λ of the expansion will diverge, the objective function will eventually approach to a Lagrange polynomial. In this paper, we will use the analogous method in [1] to explore the interpolation problem of hybrid radial basis functions and its properties.
    Advisory Committee
  • Tzon-Tzer Lu - chair
  • Tsung-Lin Lee - co-chair
  • Peng-Jen Lai - co-chair
  • Chieh-Sen Huang - advisor
  • Files
  • etd-0704117-151643.pdf
  • Indicate in-campus at 99 year and off-campus access at 99 year.
    Date of Submission 2017-08-04

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