| 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 |
|
