A Practical Guide to Splines / Edition 1

A Practical Guide to Splines / Edition 1

by Carl de Boor
     
 

ISBN-10: 0387953663

ISBN-13: 9780387953663

Pub. Date: 11/29/2001

Publisher: Springer New York

This book is based on the author’s experience with calculations involving polynomial splines, presenting those parts of the theory especially useful in calculations and stressing the representation of splines as weighted sums of B-splines. The B-spline theory is developed directly from the recurrence relations without recourse to divided differences. This

Overview

This book is based on the author’s experience with calculations involving polynomial splines, presenting those parts of the theory especially useful in calculations and stressing the representation of splines as weighted sums of B-splines. The B-spline theory is developed directly from the recurrence relations without recourse to divided differences. This reprint includes redrawn figures, and most formal statements are accompanied by proofs.

Product Details

ISBN-13:
9780387953663
Publisher:
Springer New York
Publication date:
11/29/2001
Series:
Applied Mathematical Sciences Series, #27
Edition description:
1st ed. 1978. 1st hardcover printing 2001
Pages:
348
Sales rank:
1,069,131
Product dimensions:
6.40(w) x 9.30(h) x 1.10(d)

Table of Contents

Preface
• Notation
• Table of Contents
• I Polynomial Interpolation
• II Limitations of Polynomial Approximation
• III Piecewise Linear Approximation
• IV Piecewise Cubic Interpolation; CUBSPL
• V Best Approximation Properties of Complete Cubic Spline Interpolation and its Error
• VI Parabolic Spline Interpolation
• VII A Representation for Piecewise Polynomial Functions; PPVALU, INTERV
• VIII The Spaces PkE,v and the Truncated Power Basis
• IX The Representation of PP Functions by B-splines
• X The Stable Evaluation of B-splines and Splines; BSPLVB, BVALUE, BSPLPP
• XI The B-Spline Series
• XII Local Spline Approximation Methods and the Distance from Splines; NEWNOT
• XIII Spline Interpolation; SPLINT, SPLOPT
• XIV Smoothing and Least-Square Approximation; SMOOTH, L2APPR
• XV The Numerical Solution of an Ordinary Differential Equation by Collocation; BSPLVD, COLLOC
• Taut Splines, Periodic Splines, Cardinal Splines and the Approximation of Curves; TAUTSP
• XVII Surface Approximation by Tensor Products
• Postscript on Things not Covered
• Appendix. Listing of SOLVEBLOK Package
• List of Fortran Programs
• Bibliography
• Subject Index

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