Handbook of splines
Author(s)
Bibliographic Information
Handbook of splines
（Mathematics and its applications, v. 462）
Kluwer Academic Publishers, c1999
- : hard
Available at / 29 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hardMIC||15||198076386
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Note
Includes bibliographical references (p. 383-600) and index
Description and Table of Contents
Description
The numerous publications on spline theory during recent decades show the importance of its development on modern applied mathematics. The purpose of this text is to give an approach to the theory of spline functions, from the introduction of the phrase "spline" by I.J. Schoenbergin 1946 to the newest theories of spline-wavelets or spline-fractals, emphasizing the significance of the relationship between the general theory and its applications. In addition, this volume provides material on spline function theory, as well as an examination of basic methods in spline functions. The authors have complemented the work with a reference section to stimulate further study.
Table of Contents
Preface. 1. Spline Functions and the Representation of Linear Functionals. 2. Multivariate Spline Functions. 3. Nonlinear Sets of Spline Functions. 4. Numerical Treatment of the Integral Equations. 5. Numerical Solution of Ordinary Differential Equations. 6. Splines and Finite Elements. 7. Finite Element Method for Solution of Boundary Problems for Partial Differential Equations. 8. Spline Functions in Computer Aided Geometric Design. 9. From Spline to Fractals. 10. Box Splines. 11. Spline Wavelets. 12. References. Index.
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