mws_gen_aae_spe_pptsourcesoferror(1)

# mws_gen_aae_spe_pptsourcesoferror(1) - Sources of Error...

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1/11/2010 1 Sources of Error Major: All Engineering Majors Authors: Autar Kaw, Luke Snyder http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates

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Sources of Error http://numericalmethods.eng.usf.edu
3 Two sources of numerical error 1) Round off error 2) Truncation error

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4 Round-off Error http://numericalmethods.eng.usf.edu
5 Round off Error • Caused by representing a number approximately 333333 . 0 3 1 ... 4142 . 1 2

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6 Problems created by round off error • 28 Americans were killed on February 25, 1991 by an Iraqi Scud missile in Dhahran, Saudi Arabia. • The patriot defense system failed to track and intercept the Scud. Why?
7 Problem with Patriot missile • Clock cycle of 1/10 seconds was represented in 24-bit fixed point register created an error of 9.5 x 10 -8 seconds. • The battery was on for 100 consecutive hours, thus causing an inaccuracy of 1hr 3600s 100hr 0.1s s 10 9.5 8 × × × = s 342 . 0 =

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8 Problem (cont.) • The shift calculated in the ranging system of the missile was 687 meters. • The target was considered to be out of range at a distance greater than 137 meters.
9 Effect of Carrying Significant Digits in Calculations http://numericalmethods.eng.usf.edu

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mws_gen_aae_spe_pptsourcesoferror(1) - Sources of Error...

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