Chapter 01.03 Truncation Error: Definition

Sources of Error (CHAPTER 01.03)

Truncation Error : Definition

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Learn the definition of truncation error. Truncation error is caused by approximating mathematical procedures. Examples include using a finite step size for finding the derivative of a function, using a finite number of terms of an infinite MacLaurin series, using Riemann approximations with finite rectangles to find the value of a definite integral.

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Based on work at Holistic Numerical Methods licensed under an Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) Questions, suggestions or comments, contact kaw@eng.usf.edu This material is based upon work partially supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624, 0836981, 0836916, 0836805, 1322586, 1609637, 2013271. 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 in-kind and financial funders include USF College of Engineering, USF STEER Program, Maple, MathCAD, MATLAB, USF, FAMU, ASU, AAMU, and MSOE.