Ee1031aS10

Ee1031aS10 - EE 103 Applied Numerical Computing An Introduction to Numerical Computing and Analysis for engineering and computer science students

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EE 103 Applied Numerical Computing An Introduction to Numerical Computing and Analysis for engineering and computer science students http://www.eeweb.ee.ucla.edu UCLA SEAS EE103 (SEJ) SLIDES 1A 1 Introduction and Motivation • This section will provide examples that illustrate some aspects of scientific computing when one uses a “finite precision machine”. UCLA SEAS EE103 (SEJ) SLIDES 1A 2
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Example 1: The quadratic equation ax 2 bx 0 a 0   c 0,a 2 bb4 a c r   2a 2 621 1 0   x x . r + =-0.0161072 and r _ -62.0838928 (Example from Burden and Faires) UCLA SEAS EE103 (SEJ) SLIDES 1A 3 4 digit arithmeti 4 digit arithmetic 2 a c r  4 62.1x62.1=3856 (3856.41) 2a 4 4 3856-4=3852 4 3852 =62.06 (62.06448259) 62 1 62 06= 04  4 4 62. 16 2 .06 .04 .04 / 2= .02 ( ) def fl r  4 4 r =-0.0161072= 0.01611 (r ) ++ def fl  UCLA SEAS EE103 (SEJ) SLIDES 1A 4
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4 digit arithmetic 44 | (r ) || 0.02 0.01611| 0.00389 + fl fl  | (r ) (r )| 0 00389 2 ++ 24x10 fl fl 4 0.01611 |( r) | + fl  A 24% error, using 4-digit arithmetic!
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This note was uploaded on 06/01/2010 for the course EE EE 103 taught by Professor Jacobsen during the Spring '09 term at UCLA.

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Ee1031aS10 - EE 103 Applied Numerical Computing An Introduction to Numerical Computing and Analysis for engineering and computer science students

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