Kernel-based Approximation Methods Using Matlab

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A01=Gregory E Fasshauer
A01=Michael J Mccourt
Approximation Theory
Author_Gregory E Fasshauer
Author_Michael J Mccourt
Category=PBF
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High-order Methods
MATLAB
Meshfree Methods
Numerical Analysis
Radial Basis Functions
Reproducing Kernel Hilbert Spaces
Spatial Statistics

Product details

  • ISBN 9789814630139
  • Publication Date: 22 Sep 2015
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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In an attempt to introduce application scientists and graduate students to the exciting topic of positive definite kernels and radial basis functions, this book presents modern theoretical results on kernel-based approximation methods and demonstrates their implementation in various settings. The authors explore the historical context of this fascinating topic and explain recent advances as strategies to address long-standing problems. Examples are drawn from fields as diverse as function approximation, spatial statistics, boundary value problems, machine learning, surrogate modeling and finance. Researchers from those and other fields can recreate the results within using the documented MATLAB code, also available through the online library. This combination of a strong theoretical foundation and accessible experimentation empowers readers to use positive definite kernels on their own problems of interest.

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