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In the theory of splines, a function is approximated piece-wise by (usually cubic) polynomials. Quasi-splines is the natural extension of this, allowing us to use any useful class of functions adapted to the problem.
Approximation with Quasi-Splines is a detailed account of this highly useful technique in numerical analysis.
The book presents the requisite approximation theorems and optimization methods, developing a unified theory of one and several variables. The author applies his techniques to the evaluation of definite integrals (quadrature) and its many-variables generalization, which he calls "cubature."
This book should be required reading for all practitioners of the methods of approximation, including researchers, teachers, and students in applied, numerical and computational mathematics.
| Preface | |
| Introduction | p. 1 |
| Recovery of Functions of One Variable | p. 49 |
| Recovery of Functions of Several Variables | p. 81 |
| Some Quadrature Formulas | p. 99 |
| Optimal Cubature Formulas With Restrictions on the Lattice for the Function Classes H[actual symbol not reproducible]1[actual symbol not reproducible]2(D[subscript 2]) and H[actual symbol not reproducible](D[subscript 2]) | p. 129 |
| Approximation of Functions by Rational Quasi-Splines | p. 150 |
| Applications | p. 201 |
| References | p. 243 |
| Author index | p. 249 |
| Subject index | p. 251 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
ISBN: 9780750301817
ISBN-10: 0750301813
Audience:
Professional
Format:
Hardcover
Language:
English
Number Of Pages: 260
Published: 1st January 1992
Dimensions (cm): 22.9 x 15.2
x 1.9
Weight (kg): 6.99
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