Spline Toolbox

Organization of the Document

The main body of this guide comprises two chapters, and these are preceded by the present Notes to the Reader. Here, in tabular form, are the high points.*

Chapter	Description
Chapter 1	Tutorial The first section provides specific examples illustrating simple uses of the toolbox commands. The second section provides an overview of splines and spline approximation methods. The next two sections offer detailed descriptions of the two basic ways used in the toolbox to describe a piecewise-polynomial aka spline: the ppform and the B-form. This is followed by a section concerning the use made in this toolbox of tensor products for multivariate work and a section on NURBs and other rational splines. The remaining sections are meant for users interested in developing their own spline commands. Three specific computational tasks are discussed in detail: Construction of the Chebyshev spline Approximate solution of a nonlinear ordinary differential equation boundary value problem with a boundary layer The use of univariate vector-valued splines in the construction and use of approximations to multivariate data
Chapter 2	Reference Begins with an ordered tabulation of the commands in this toolbox, followed by reference pages for those commands.
Glossary	Provides a briefing on the basic technical terms and concepts used in this guide.

Using This Guide

Technical Conventions