Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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ROMBERG INTEGRATION (CHAPTER 07.04)

 

Multiple Segment Trapezoidal Rule Error : Example

 

By Autar Kaw



TOPIC DESCRIPTION
 

Learn about the error in multiple segment  trapezoidal rule via an example. Figure out why the true error approximately quarters when the number of segments is doubled.

 


ALL VIDEOS FOR THIS TOPIC
 

Multiple Segment Trapezoidal Rule Error: Derivation [YOUTUBE 8:45] [TRANSCRIPT]

Multiple Segment Trapezoidal Rule Error: Example [YOUTUBE 8:51] [TRANSCRIPT]

Richardsons Extrapolation of Trapezoidal Rule: Theory [YOUTUBE 9:45] [TRANSCRIPT]

Richardsons Extrapolation of Trapezoidal Rule: Example [YOUTUBE 9:23] [TRANSCRIPT]

Romberg Integration: Theory: Part 1 of 2[YOUTUBE 9:17] [TRANSCRIPT]

Romberg Integration: Theory: Part 2 of 2 [YOUTUBE 6:35] [TRANSCRIPT]


COMPLETE RESOURCES
  Get in one place the following: a textbook chapter, a PowerPoint presentation, individual YouTube lecture videos, worksheets to illustrate the method and its convergence, and multiple-choice questions on Romberg Integration.

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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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