Covers numerical methods and use of computer algorithms for discrete least squares approximation, trigonometric polynomial approximation, Fast Fourier Transforms, and Boundary value problems. Solutions of second order partial differential equations, namely, elliptic (Laplace's and Poisson's), parabolic and hyperbolic equations, using finite difference methods will be covered. Computer programs and software packages (MATLAB) will be used to solve equations.
- ELEX 7120 or can be taken concurrently
- Not offered this term
- This course is not offered this term. Please check back next term or subscribe to receive notifications of future course offerings and other opportunities to learn more about this course and related programs.
Upon successful completion, the student will be able to:
- Carry out "Discrete least squares approximation."
- Carry out "Trigonometric polynomial approximation."
- Derive "Fast Fourier Transform (FFT)" algorithm.
- Write, test and demonstrate use of an FFT algorithm using MATLAB.
- Use numerical methods and a computer to solve Laplace's equation using repetitive finite difference methods.
- Solve boundary value problems using the shooting method, and the finite difference method, for second order inhomogeneous differential equations.
- Use finite difference methods and MATLAB to solve one or more of; parabolic, hyperbolic and elliptic partial differential equations.
Effective as of Fall 2006
Scientific Computing 2 (ELEX 7121) is offered as a part of the following programs:
School of Energy
Bachelor of Technology Part-time
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