chapter  3
72 Pages

Explicit 1–d Program Solutions via Sinc–Pack

Sinc-Pack is a package of programs in MATLABR©, which implements the algorithms of Chapters 1 and 2. In this chapter we focus on the elementary operations of calculus. We shall see how any operation of calculus on functions f that is defined on an interval or arc Γ is approximated using a simple multiplication of a matrix times a column vector f whose components are values of f or approximations of such values at “Sinc points” on Γ. The resulting column vector can then be evaluated at any point of Γ through explicit Sinc interpolation.