Preface
Contents
Notation
I Polynomial Interpolation
II Limitations of Polynomial Approximation
III Piecewise Linear Interpolation
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 \Pi_{
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, Control Points, and Knot Insertion
XII Local Spline Approximation and the Distance from Splines; NEWNOT
XIII Spline Interpolation; SPLINT, SPLOPT
XIV Smoothing and Least-Squares Approximation; SMOOTH, L2APPR
XV The Numerical Solution of an Ordinary Differential Equation by Collocation; BSPLVD, COLLOC
XVI Taut Splines, Periodic Splines, Cardinal Splines and the Approximation of Curves; TAUTSP
XVII Surface Approximation by Tensor Products
Postscript on Things Not Covered
Fortran Programs
Bibliography
Index