Numerical Technique for the Convolution of Piecewise Polynomial Functions

This paper describes a general systematic procedure for the convolution of functions that are piecewise polynomial. The procedure can be implemented by hand using a simple table format or programmed for execution on a digital computer. An algebraic convolution law is dermed to replace integration; this provides an efficient digital computation algorithm. Thus, convolution operations of any complexity can be transformed into the algebraic manipulation of numbers by a digital computer.