Title Statements
- Full title :Meshfree Approximation Methods With Matlab / Gregory E. Fasshauer.
Edition Statements
- Publication Date:©2007
Publication Statements
- Publisher(s):World scientific Publishing Company
- Place of Publication:Singapore
- Language:eng
- Publication Date:©2007
The Physical Object
- Description:1 online resource (520 pages)
Edition Identifiers
- ISBN:9789812708632, 9812708634
- oclc:on1020698296
- LC Classification:QA297
- Dewey Decimal:518.5
Table of Contents
Intro; Contents; Preface; 1. Introduction; 1.1 Motivation: Scattered Data Interpolation in Rs; 1.1.1 The Scattered Data Interpolation Problem; 1.1.2 Example: Interpolation with Distance Matrices; 1.2 Some Historical Remarks; 2. Radial Basis Function Interpolation in MATLAB; 2.1 Radial (Basis) Functions; 2.2 Radial Basis Function Interpolation; 3 . Positive Definite Functions; 3.1 Positive Definite Matrices and Functions; 3.2 Integral Characterizations for (Strictly) Positive Definite Functions; 3.2.1 Bochner's Theorem; 3.2.2 Extensions to Strictly Positive Definite Functions
3.3 Positive Definite Radial Functions4 . Examples of Strictly Positive Definite Radial Functions; 4.1 Example 1: Gaussians; 4.2 Example 2: Laguerre-Gaussians; 4.3 Example 3: Poisson Radial Functions; 4.4 Example 4: Matern Functions; 4.5 Example 5: Generalized Inverse Multiquadrics; 4.6 Example 6: Truncated Power Functions; 4.7 Example 7: Potentials and Whittaker Radial Functions; 4.8 Example 8: Integration Against Strictly Positive Definite Kernels; 4.9 Summary; 5 . Completely Monotone and Multiply Monotone Functions; 5.1 Completely Monotone Functions; 5.2 Multiply Monotone Functions
6 . Scattered Data Inte…
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