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Spline Functions

Spline Functions

Spline Functions

Computational Methods
Larry L. Schumaker, Vanderbilt University, Tennessee
August 2015
Hardback
9781611973891
AUD$159.09
exc GST
Hardback

    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

    Product details

    August 2015
    Hardback
    9781611973891
    430 pages
    261 × 163 × 30 mm
    1.06kg
    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.