mws_gen_aae_spe_pptpropagationoferrors(1)

mws_gen_aae_spe_pptpropagationoferrors(1) - Propagation of...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Propagation of Errors http://numericalmethods.eng.usf.edu
Background image of page 2
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?
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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.
Background image of page 4
http://numericalmethods.eng.usf.edu 5 Propagation of Errors In Formulas f n n X X X X X , ,....... , , , 1
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

Page1 / 12

mws_gen_aae_spe_pptpropagationoferrors(1) - Propagation of...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online