Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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RUNGE-KUTTA 2nd ORDER METHOD

CHAPTER 08.03

How a Learner Can Use This Module

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Runge-Kutta 2nd Order Method [PDF] [DOC]

Objectives of Runge-Kutta 2nd Order Method [PDF] [DOC]

TEXTBOOK CHAPTER
  Textbook Chapter of Runge-Kutta 2nd Order Method [PDF] [DOC]

DIGITAL AUDIOVISUAL LECTURES

 

Runge-Kutta 2nd Order Method: Background [YOUTUBE 9:46] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Formulas [YOUTUBE  10:57] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Heun's Method  [YOUTUBE  9:27] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Midpoint Method  [YOUTUBE  10:45] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Ralston's Method Part 1 of 2 [ YOUTUBE 7:09] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Ralston's Method Part 2 of 2 [ YOUTUBE 5:00] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Derivation Part 1 of 2 [ YOUTUBE 7:08] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Derivation Part 2 of 2 [ YOUTUBE 5:31] [TRANSCRIPT]

MULTIPLE CHOICE TEST
 

Test Your Knowledge of Runge-Kutta 2nd Order Method [HTML] [FLASH] [PDF] [DOC]

PRESENTATIONS
 

PowerPoint Presentation of Runge-Kutta 2nd Order Method [PDF] [PPT]

WORKSHEETS
 

Worksheet of Runge-Kutta 2nd Order Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

Convergence Worksheet of Runge-Kutta 2nd Order Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

BLOG ENTRIES
 

Comparing Runge-Kutta 2nd Order Methods [BLOG]

Runge-Kutta 2nd Order Method Equations Derived [BLOG]

A MATLAB Program for Comparing Runge-Kutta 2nd Order Methods [BLOG]

EXAMPLES FROM OTHER MAJORS

 

Chemical Engineering Example of Runge-Kutta 2nd Order Method  [PDF]  [DOC] [PHY

Civil Engineering Example of Runge-Kutta 2nd Order Method  [PDF]  [DOC] [PHY

Computer Engineering Example of Runge-Kutta 2nd Order Method  [PDF [DOC] [PHY

Electrical Engineering Example of Runge-Kutta 2nd Order Method  [PDF [DOC] [PHY]

Industrial Engineering Example of Runge-Kutta 2nd Order Method  [PDF [DOC] [PHY]

Mechanical Engineering Example of Runge-Kutta 2nd Order Method  [PDF [DOC] [PHY

WOLFRAM DEMONSTRATION (External link | What are Wolfram Demonstrations? | Do need free Mathematica Player to run)

 

Global and Local Errors in Runge-Kutta Methods [NBP]

RELATED TOPICS

 

Primer on ODE

Euler's Method

Runge-Kutta 4th

Finite Diff Method

Shooting Method

Higher Order/Coupled


  > Home > Ordinary Differential Equations

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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, 1322586.  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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