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 PDEs.
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 PDEs.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
Inhaltsangabe
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.