Those familiar with the problems involved with error estimation will appreciate the graphical error analysis performed on the Bessel function (See web page below).
Bessel functions' analytical and numerical characteristics are well documented (See A&S, G&R). When getting into the particulars of the numerical evaluation of different algorithms, however, error analyses are cumbersome and only partially available. Using the capabilities of computer graphics, it is possible to visualize errors and estimate their magnitude "empirically". To demonstrate the power of this method, graphical error analysis of the proprietary procedure _JaX that evaluates the Bessel Function of the First Kind is performed.
Dan Baruth
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