Table of Contents
Review Of Numerical Techniques
Introduction to Numerical Techniques
Reference and Topics
Modeling And Errors
Well-Posed Problems
Badly-Posed Problems
Many Models
Many Models
Viewing Error In The Real World
Comments On Real World Picture
Measuring Error
Measuring Error Continued
Rounding Error Analysis
Rounding Errors Continued
Rounding Errors Continued
Taylor’s Series
Taylor Series Continued
PPT Slide
General Form and Approximation Error
Bounding The Truncation Error
Linear Algebra
Special Vectors
Vector Norms
Matrices
Matrix Properties
Special Matrices
Special Matrices Continued
Matrix Properties
Solving Linear Systems
Analysis Of Linear System Solutions
Computing The Condition Number
Vector Norms
Matrix Norms
Consistent Vector And Matrix Norms
Special Matrix Transformations
Special Matrix Transformations Continued
Eigenvalue Problem
Eigenproblems Continued
Solving Ordinary Differential Equations
Graph Of A Solution Technique
PPT Slide
Analysis Of Results -- Errors
Analysis Continued
Solving 2nd Order ODEs
A Different Approach To Approximation
Approximations
Using These Approximations
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