Computational Hydraulics

        0. Syllabus  

        1. Classifications of PDEs

        2. Numerical Solution of Elliptic PDEs

        3. Burger's Equation

        4. Diffusion Equation and Boundary Conditions

        5. Truncation Error and Consistency

        6. Fourier Series

        7. Stability Analysis  

        8. Convergence

        9. Numerical Soultion of Advection-Dominated Problems: Fourier Analysis of Numerical Errors

        10. Other Methods for Diffusion Eq.

        11. Cauchy Prpblem

        12. Hyperbolic Problem

        13. Combining Schemes