Course: Numerical Methods

SOURCES OF ERROR

Round-off Error : Definition and Examples

By Autar Kaw

Learn about one of the two sources of errors in numerical methods: round-off error.  Round off error is caused by approximating the representation of numbers.

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

Effect of Carrying Significant Digits [YOUTUBE 7:48]

Truncation Error: Definition [YOUTUBE 8:34]

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

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

Truncation Error: Example: Differentiation [YOUTUBE 10:14]

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# 0126793, 0341468, 0717624,  0836981.  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.  Numerical Methods for Undergraduates by http://numericalmethods.eng.usf.edu is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.  Based on a work at numericalmethods.eng.usf.edu.