A Practical Guide to Splines (Hardcover, Rev)

From the 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 - XVI Taut Splines, Periodic Splines, Cardinal Splines and the Aproximation of Curves; TAUTSP - X VII Surface Approximation by Tensor Products - Postscript on Things not Covered - Appendix - Listing of SOLVEBLOK Package - List of Fortran Programs - Bibliography - Subject Index.