Spline Functions on Triangulations (Encyclopedia of Mathematics and its Applications, Series Number 110)

Ming-Jun Lai Larry L. Schumaker

ISBN 10: 0521875927 / ISBN 13: 9780521875929

Published by Cambridge University Press CUP, 2007

About this Item

pp. xv + 592.

Seller Inventory # 26256963

Bibliographic Details

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

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-Bézier 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.