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Spline Functions

Spline Functions
Computational Methods

$83.00 (P)

  • Date Published: October 2016
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Hardback
  • isbn: 9781611973891

$ 83.00 (P)
Hardback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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About the Authors
  • Describing in detail the key algorithms needed for computing with spline functions, this book illustrates the usefulness of splines in solving several basic problems in numerical analysis, including function approximation, numerical quadrature, data fitting, and the numerical solution of PDEs. 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. The book 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 licence, which can be used to run all of the examples in the book and provides readers with the essential tools 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.

    • All the algorithms in the book are coded in a MATLAB package, available for licence
    • An additional bibliography containing over one hundred pages of references can be found on the book's website
    • Contains numerous examples and figures to illustrate the methods and their performance
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    Product details

    • Date Published: October 2016
    • format: Hardback
    • isbn: 9781611973891
    • length: 430 pages
    • dimensions: 261 x 163 x 30 mm
    • weight: 1.06kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Preface
    1. Univariate splines
    2. Tensor-product splines
    3. Computing with triangulations
    4. Computing with splines
    5. Macro-element interpolation methods
    6. Scattered data interpolation
    7. Scattered data fitting
    8. Shape control
    9. Boundary-value problems
    10. Spherical splines
    11. Applications of spherical splines
    Bibliography
    Script index
    Function index
    subject index.

  • Author

    Larry L. Schumaker, Vanderbilt University, Tennessee
    Larry Schumaker was a Professor of Mathematics at both the University of Texas, Austin, and Texas A&M University, and since 1988 has been the Stevenson Professor of Mathematics at Vanderbilt University. He is a SIAM Fellow and a Member of the Norwegian Academy of Sciences. In addition to editing 40 conference proceedings and translating a number of books from German, he is the author of Spline Functions: Basic Theory, and a coauthor of Spline Functions on Triangulations. His research continues to focus on spline functions and their applications.

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