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Author De Boor, Carl.

Title A practical guide to splines : with 32 figures / Carl de Boor
Edition Revised edition
Published New York : Springer, 2001


Location Call no. Vol. Availability
 MELB  511.42 Deb/Pgt 2001  AVAILABLE
Description xviii, 346 pages : illustrations ; 24 cm
Series Applied mathematical sciences ; v. 27
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 27
Contents I. Polynomial Interpolation -- II. Limitations of Polynomial Approximation -- III. Piecewise Linear Approximation -- IV. Piecewise Cubic Interpolation -- V. Best Approximation Properties of Complete Cubic Spline Interpolation and Its Error -- VI. Parabolic Spline Interpolation -- VII. A Representation for Piecewise Polynomial Functions -- VIII. The Spaces II[subscript [lesser than] k, [xi], [nu]] and the Truncated Power Basis -- IX. The Representation of PP Functions by B-Splines -- X. The Stable Evaluation of B-Splines and Splines -- XI. The B-Spline Series, Control Points, and Knot Insertion -- XII. Local Spline Approximation and the Distance from Splines -- XIII. Spline Interpolation -- XIV. Smoothing and Least-Squares Approximation -- XV. The Numerical Solution of an Ordinary Differential Equation by Collocation -- XVI. Taut Splines, Periodic Splines, Cardinal Splines and the Approximation of Curves -- XVII. Surface Approximation by Tensor Products -- App. Fortran Programs
Bibliography Includes bibliographical references (pages 331-339) and index
Subject Spline theory.
LC no. 2001049644
ISBN 0387953663 alkaline paper