Chemical Engineering 663 - Adv Chemical EnginAnalysis III

Numerical methods for Chemical Engineering analysis. Linear system solutions with emphasis on robustness, speed and conditioning of equations. Applications in finite difference solutions of linear and nonlinear parabolic and elliptic pde's. Robust methods for initial value problems and Methods of Lines solutions using finite difference discretizations. Weighted residual methods, especially collocation and finite element methods. Nonlinear equation solving by fixed-point and Newton-like methods. Continuation methods for multiple solutions. Applications in chemical reaction engineering, heat and mass transfer, fluid mechanics. Prerequisite: CHEM-ENG 661 or equivalent, and elementary programming skills in a high-level applications language such as FORTRAN or Pascal.