Due: in class, Monday September 10, 2001 .
Catastrophic cancellation or loss of significant digits can occur due to roundoff error in using a floating point number system. One must be on guard to avoid situations that can lead to cancellation. This includes re-formulating equations, increasing floating point precision, and minimizing the number of calculations.
The purpose of this project is to demonstrate the occurrence of cancellation and illustrate the effect of preventative measures. We consider the simple function on the interval (0.99, 1.01). This seems harmless enough!
Comment: You must create a dataset that you then graph. If you use the command plot( f(x) , x=0.99..1.01 ); Maple will use its own dataset using its default hardware setting for the precision that you have no control over.