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Bibliographic Details

Title: Spline Functions on Triangulations (Encyclopedia of Mathematics and its Applications, Series Number 110)
Publisher: Cambridge University Press
Publication Date: 2007
Language: English
ISBN 10: 0521875927
ISBN 13: 9780521875929
Binding: Hardcover
Condition: Good

About this title

Synopsis

Spline functions are universally recognized as highly effective tools in approximation theory, computer-aided geometric design, image analysis, and numerical analysis. The theory of univariate splines is well known but this text is the first comprehensive treatment of the analogous bivariate theory. A detailed mathematical treatment of polynomial splines on triangulations is outlined, providing a basis for developing practical methods for using splines in numerous application areas. The detailed treatment of the Bernstein-B�zier representation of polynomials will provide a valuable source for researchers and students in CAGD. Chapters on smooth macro-element spaces will allow engineers and scientists using the FEM method to solve partial differential equations numerically with new tools. Workers in the geosciences will find new tools for approximation and data fitting on the sphere. Ideal as a graduate text in approximation theory, and as a source book for courses in computer-aided geometric design or in finite-element methods.

About the Authors

Ming-Jun Lai is a Professor of Mathematics at the University of Georgia.

Larry Schumaker is the Stevenson Professor of Mathematics at Vanderbilt University.

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