Preface
Notation
I Polynomial Interpolation
II Limitations of Polynomial Appoximation
III Piecewise Linear Approximations
IV Piecewise Cubic Interpolation
V Best Approximation Properties of Complete Cubic Spline Interpolation and Its Error
VI Parabolec Spline Interpolation
VII A Representation for Piecewise Polynomial Functions
VIII The Spaces
IX The Representation of PP Functions by B-Splines
X The Stable Evaluation of B-Splines and Splines
XI The B-Splines Series,Control Point,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
Appendix:Fortran Programs
Bibliography
Index
