A Practical Guide to Splines
(Sprache: Englisch)
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...
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Klappentext zu „A Practical Guide to Splines “
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.
Inhaltsverzeichnis zu „A Practical Guide to Splines “
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
Bibliographische Angaben
- Autor: Carl de Boor
- 2001, Rev. ed., 348 Seiten, 32 Abbildungen, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387953663
- ISBN-13: 9780387953663
- Erscheinungsdatum: 29.11.2001
Sprache:
Englisch
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