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Full Description
This book describes in detail the key algorithms needed for computing with spline functions and illustrates their use in solving several basic problems in numerical analysis, including function approximation, numerical quadrature, data fitting, and the numerical solution of PDE's. The focus is on computational methods for bivariate splines on triangulations in the plane and on the sphere, although both univariate and tensor-product splines are also discussed.
Contains numerous examples and figures to illustrate the methods and their performance.
All of the algorithms in the book have been coded in a separate MATLAB package available for license. The package can be used to run all of the examples in the book and also provides readers with the essential tools needed to create software for their own applications.
In addition to the included bibliography, a list of over 100 pages of additional references can be found on the book's website.
Contents
Preface
Chapter 1: Univariate Splines
Chapter 2: Tensor-Product Splines
Chapter 3: Computing with Triangulations
Chapter 4: Computing with Splines
Chapter 5: Macro-element Interpolation Methods
Chapter 6: Scattered Data Interpolation
Chapter 7: Scattered Data Fitting
Chapter 8: Shape Control
Chapter 9: Boundary-Value Problems
Chapter 10: Spherical Splines
Chapter 11: Applications of Spherical Splines
Bibliography
Script Index
Function Index
Subject Index.
