Spline Functions

Computations Methods

Inbunden, Engelska, 2015

AvLarry L. Schumaker,Larry L Schumaker

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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.

Produktinformation

Utgivningsdatum2015-07-30
Mått152 x 229 x 32 mm
Vikt1 063 g
FormatInbunden
SpråkEngelska
Antal sidor425
FörlagSociety for Industrial & Applied Mathematics,U.S.
ISBN9781611973891

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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.

PrefaceChapter 1: Univariate SplinesChapter 2: Tensor-Product SplinesChapter 3: Computing with TriangulationsChapter 4: Computing with SplinesChapter 5: Macro-element Interpolation MethodsChapter 6: Scattered Data InterpolationChapter 7: Scattered Data FittingChapter 8: Shape ControlChapter 9: Boundary-Value ProblemsChapter 10: Spherical SplinesChapter 11: Applications of Spherical SplinesBibliographyScript IndexFunction IndexSubject Index.