Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

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ROMBERG METHOD

CHAPTER 07.04

How a Learner Can Use This Module


PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Romberg Method [PDF] [DOC]

Objectives of Romberg Method [PDF] [DOC]

TEXTBOOK CHAPTER
  Textbook Chapter of Romberg Method [PDF] [DOC]
DIGITAL AUDIOVISUAL LECTURES
 

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

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

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

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

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

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

PRESENTATIONS
 

PowerPoint Presentation of Romberg Method [PDF] [PPT]

WORKSHEETS
 

Simulation of Romberg Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

Convergence Simulation of Romberg Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

MULTIPLE CHOICE TEST
 

Test Your Knowledge of Romberg Method [HTML] [FLASH] [PDF] [DOC]

EXAMPLES FROM OTHER MAJORS

 

Chemical Engineering Example of Romberg Method  [PDF]  [DOC] [PHY

Civil Engineering Example of Romberg Method  [PDF]  [DOC] [PHY

Computer Engineering Example of Romberg Method  [PDF [DOC] [PHY

Electrical Engineering Example of Romberg Method  [PDF [DOC] [PHY

Industrial Engineering Example of Romberg Method  [PDF [DOC] [PHY

Mechanical Engineering Example of Romberg Method  [PDF [DOC] [PHY]

RELATED TOPICS

 

Integral Calc Primer 

Trapezoidal Rule

Simpson's 1/3rd Rule

Gauss-Quad Rule

Discrete Data Integration

Improper Integration

Simpson's 3/8 Rule


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Copyrights: UnCreative Commons Licenseiversity 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, 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.  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.

 

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