Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

  
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SOURCES OF ERROR (CHAPTER 01.03)

 

Effect of Carrying Significant Digits

 

By Autar Kaw

TOPIC DESCRIPTION
 

Learn the effect of carrying  limited number of significant digits for a real-life problem.  We regressed the data of coefficient of thermal expansion of steel as a function of temperature to a second order polynomial using Excel.  We found that the general format of the regression model provided by Excel creates large round-off errors because of carrying limited significant digits.  A solution to this issue is also presented.

ALL VIDEOS FOR THIS TOPIC
 

Round-off Error: Definition and Examples [YOUTUBE 3:47] [TRANSCRIPT]

Effect of Carrying Significant Digits [YOUTUBE 7:48] [TRANSCRIPT]

Truncation Error: Definition [YOUTUBE 8:34] [TRANSCRIPT]

Truncation Error: Example: Series [YOUTUBE 6:44] [TRANSCRIPT]

Truncation Error: Example: Integration [YOUTUBE 6:12] [TRANSCRIPT]

Truncation Error: Example: Differentiation [YOUTUBE 10:14] [TRANSCRIPT]
COMPLETE RESOURCES
  Get in one place the following: a textbook chapter, a PowerPoint presentation, individual YouTube lecture videos,  and multiple-choice questions on Sources of Errors.

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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

  

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