EGM 6341
Numerical Methods of Engineering Analysis
Instructor
:
Dr. Renwei Mei,
[email protected]
307 Nuclear Science Building,
Ph. 20888
Textbook
:
An Introduction to Numerical Analysis, 2
nd
Ed
by Kendall E. Atkinson
Office Hour:
1:002:30 pm TuTh
Detailed Lecture Notes will be available for each chapter.
COURSE CONTENTS
1.
Introduction
Math review (mean value theorems, Taylor series expansion, Fourier transform)
Computer Arithmetic and Errors (roundoff error, truncation error, floating point
arithmetic significant digits, absolute and relative errors, error propagation)
2.
Root finding
Bisection method, Newton's method, secant method, method of false position
(regula falsi), successive iteration method, repeated roots.
3.
Solving sets of linear equations
Matrix review, norm,
Gauss elimination and GaussJordan method, LU
decomposition, Determinant and matrix inversion,
condition number, iterative
methods.
4.
Interpolation methods
Method of undetermined coefficient, Lagrangian interpolation, Newton’s divided
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 Spring '09
 MEI
 Numerical Analysis, Taylor series expansion, Interpolation methods Method

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