Eigen-analysis - finding the eigenvalues and eigenvectors
2021/3/9
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7
Topics
Fitting Data
Interpolation Curve Fitting
Numerical Differentiation
Numerical Integration
2021/3/9
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2
Books
◦ 数值方法（MATLAB版）（第四版）（美） 马修斯，（美）芬克 著，周璐 等译,电 子工业出版社
2021/3/9
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Numamp; Course Overview
2021/3/9
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Numerical Methods Using MATLAB
Dr. Sheng-Jian Lai
Research Building 713#, UESTC Email: cem@
2021/3/9
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Research & Work
◦ Numerical Algorithm
Java - Internet Programming Language
Applications Numerical Errors Computer Types Computer Software
2021/3/9
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Applications
Signal Processing CFD (Computational Fluid Dynamics) Structural Analysis Finite Element Analysis
Partial Differential Equations (PDE’s)
2021/3/9
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Why do we need to know how to use numerical analysis and methods?
You are not going to be given a nice neat exact solution in the “real world”.
HTML and Java
2021/3/9
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Software
Higher-Order Programming
Maple - Mathematical Programming Language
Mathematica - Mathematical Programming Language
◦ Computational Electromagnetics
◦ Microwave Engineering
◦ High Performance Parallel Computation and Cloud Computation
◦ Information System and Mobile Internet Development
4
Lecture’s Goals
Introduce computer methods for the solution of civil engineering problems, including: General Introduction to Computer Applications in
2021/3/9
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5
Topics
Matlab - Mathematical Program (Vectors)
Computer Errors - Recognition and solutions
Roots f(x) = 0
Linear Methods Nonlinear Methods
2021/3/9
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6
Topics
Linear Systems - Setting up multiple sets of equations and solution techniques.
LU Decomposition - Technique to decompose matrices
Windows - NT, ME, Windows Unix VMS - VAX Linux
2021/3/9
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14
Software
Languages
Fundamental Assembler (Bit manipulations) Engineering Languages
Fortran Cobol Pascal C++ ( J++ ) Basic
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12
Computer Hardware Types
Personal Computer Supercomputers Vector Processors Array Processors Parallel Processor
2021/3/9
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13
Software
Operating Systems (OS)
Engineering and Construction Why do you need to be able to write and understand
computer program and numerical methods? Matlab - Mathematical Laboratory
2021/3/9
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Applications
Interpolation - Handling data Optimization - Design and estimation CAD (Computer Aided-Drafting) Data Collection
2021/3/9
2021/3/9
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8
Topics
ODE’s (ordinary differential equations)
Initial Value Problems Systems of ODE’s of IVP Boundary Value Problems Systems of ODE’s of BVP