# Numerical Methods in Engineering - PowerPoint PPT Presentation

PPT – Numerical Methods in Engineering PowerPoint presentation | free to view - id: e0711-Njk4M

The Adobe Flash plugin is needed to view this content

Get the plugin now

View by Category
Title:

## Numerical Methods in Engineering

Description:

### Computer Science, and Mathematics. EE 4V95 (3 credits) Fall 2006. TR 9:30am-10:45am ... Prerequisites: Differential Equations (MATH2420); Applied Linear Algebra ... – PowerPoint PPT presentation

Number of Views:5113
Avg rating:3.0/5.0
Slides: 13
Provided by: per144
Category:
Transcript and Presenter's Notes

Title: Numerical Methods in Engineering

1
Numerical Methods in Engineering
• Dr. William J. Pervin
• Professor of Electrical Engineering,
• Computer Science, and Mathematics

EE 4V95 (3 credits) Fall 2006 TR 930am-1045am
2
Introduction
• Textbook Numerical Methods Algorithms and
Applications by Laurene V. Fausett. Pearson
(Prentice-Hall) 2003 ISBN 0-13-031400-5
• Prerequisites Differential Equations (MATH2420)
Applied Linear Algebra (EE2300) Programming in
C/C/Java
• Software MATLAB and other packages

3
Agenda
• (a) roots of equations in one variable
• (b) simultaneous linear equations
• (c) matrix analysis including LU factorization
and eigenvalue determination
• (d) differentiation and integration of functions
• (e) ordinary and partial differential equations

4
Example
• Consider the two equations
• 34x 55y 89
• 55x 89y 144
• MATLAB
• solve(34x55y89,55x89y144)

5
Example (continued)
• Suppose the equations come from inexact
measurements e.g.,
• 34x 55y 89
• 55y 89y 144 error
• MATLAB
• solve(34x55y89,55x89y144error)

6
Example (continued again)
• Try ( x , y ) (1.01 , 0.99)
• Try ( x , y ) (2.0 , 0.3819)
• Which is the better approximation to the correct

7
2nd Example
• Hilbert matrix hilb(4) in MATLAB
• 1 1/2 1/3 1/4
• 1/2 1/3 1/4 1/5
• 1/3 1/4 1/5 1/6
• 1/4 1/5 1/6 1/7
• MATLAB
• H1 1/2 1/3 1/4 1/2 1/3 1/4 1/5 1/3 1/4 1/5
1/6 1/4 1/5 1/6 1/7

8
Summary
• Dont believe everything (anything) the computer
tells you!
• Study Numerical Methods!!

9
Unexpected Results
• Recall the sinc function

but
10
(No Transcript)
11
(No Transcript)
12
(No Transcript)