mws_gen_aae_spe_pptpropagationoferrors(1)

mws_gen_aae_spe_pptpropagationoferrors(1) - Propagation of...

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1/11/2010 http://numericalmethods.eng.usf.edu 1 Propagation of Errors Major: All Engineering Majors Authors: Autar Kaw, Matthew Emmons http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates

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Propagation of Errors http://numericalmethods.eng.usf.edu
http://numericalmethods.eng.usf.edu 3 Propagation of Errors In numerical methods, the calculations are not made with exact numbers. How do these inaccuracies propagate through the calculations?

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http://numericalmethods.eng.usf.edu 4 Example 1: Find the bounds for the propagation in adding two numbers. For example if one is calculating X +Y where X= 1.5 0.05 Y= 3.4 0.04 Solution Maximum possible value of X= 1.55 and Y= 3.44 Maximum possible value of X+ Y= 1.55 + 3.44 = 4.99 Minimum possible value of X= 1.45 and Y= 3.36. Minimum possible value of X + Y = 1.45 + 3.36 = 4.81 Hence 4.81 ≤ X + Y ≤4.99.
http://numericalmethods.eng.usf.edu 5 Propagation of Errors In Formulas f n n X X X X X , ,....... , , , 1

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mws_gen_aae_spe_pptpropagationoferrors(1) - Propagation of...

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