Holistic Numerical Methods

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EULER'S METHOD OF SOLVING ORDINARY DIFFERENTIAL EQUATIONS (CHAPTER 08.02)

 

Estimating an Integral

 

By Autar Kaw

TOPIC DESCRIPTION
 

Euler's method is the simplest numerical method of solving an ordinary differential equation of the form

dy/dx=f(x,y), y(0)=y0.  

This video teaches you how Euler's method can be used to estimate an integral.
ALL VIDEOS FOR THIS TOPIC
 

Euler's Method of Solving ODEs: Derivation  [YOUTUBE 9:53] [TRANSCRIPT]

Euler's Method of Solving ODEs: Example [YOUTUBE 10:57] [TRANSCRIPT]

Euler's Method of Estimating Integrals: Theory [YOUTUBE  7:11] [TRANSCRIPT] 

Euler's Method of Estimating Integrals: Example [YOUTUBE  8:58] [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 Euler's Method.

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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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