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A Practical Guide to Splines

Carl De Boor
Publisher: 
Springer Verlag
Publication Date: 
2001
Number of Pages: 
368
Format: 
Hardcover
Series: 
Applied Mathematical Sciences 27
Price: 
79.95
ISBN: 
978-0387953663
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee strongly recommends this book for acquisition by undergraduate mathematics libraries.

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 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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