Lecture6

Lecture6 - Engineering Analysis ENG 3420 Fall 2009 Dan C....

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Engineering Analysis ENG 3420 Fall 2009 Dan C. Marinescu Office: HEC 439 B Office hours: Tu-Th 11:00-12:00
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2 Lecture 6 Lecture 6 ± Last time: ² Internal representations of numbers and characters in a computer. ² Arrays in Matlab ² Matlab program for solving a quadratic equation ± Today: ² Roundoff and truncation errors ² More on Matlab ± Next Time ² More on approximations.
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3 Accuracy versus Precision ± Accuracy Î how closely a computed or measured value agrees with the true value , ± P recision Î how closely individual computed or measured values agree with each other. a) inaccurate and imprecise b) accurate and imprecise c) inaccurate and precise d) accurate and precise
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4 Errors when we know the true value ± True error ( E t ) Î the difference between the true value and the approximation. ± Absolute error (| E t |) Î the absolute difference between the true value and the approximation. ± True fractional relative error Î the true error divided by the true value. ± Relative error ( ε t ) Î the true fractional relative error expressed as a percentage. ± For iterative processes, the error can be approximated as the difference in values between successive iterations.
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5 Stopping criterion ±
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Lecture6 - Engineering Analysis ENG 3420 Fall 2009 Dan C....

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