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).