Ch. E. 475 - Outline - A, 99

Professor Bruce A. Finlayson, BNS 107

finlayson@cheme.washington.edu

Class web site: http://faculty.washington.edu/finlayso/che475/

Listed below are the numerical topics to be covered in the course. These will be covered in the order that they come up when modeling a particular process.

I. Solve Single Algebraic Equations

- Solve Sets of Linear Algebraic Equations
- Solve Sets of Non-linear Algebraic Equations

II. Solve Sets of ODE-IVP

- General Concepts
- Errors, Richardson Extrapolation
- Stability of Method, Implicit Methods
- Runge-Kutta Methods
- Stiff Problems

III. Solve Sets of ODE-BVP

- Shooting Methods
- Finite Difference Methods
- Orthogonal Collocation Methods
- Parameter Estimation

IV. Solve Sets of PDE

- Finite Difference Methods
- Orthogonal Collocation Methods
- Finite Element Methods

V. Curve fitting and Non-linear Parameter Estimation

- Linear Least Squares
- Non-linear Least Squares
- Maximum Likelihood
- Interpolation
- Quadrature

We will use MATLAB, Excel, PDE Toolbox (Matlab's way to solve PDEs), and FIDAP (a computational fluid dynamics [CFD] program).