Introduction, mathematical modelling, sources of errors in the process of numerical analysis and solution methodology; Elements of numerical analysis, Taylor series, round-off error, truncation error, concept of stability, consistency and convergence; Linear algebra, normal forms, Gauss elimination method, LU-decomposition, tridiagonal systems of equations; iterative methods, Jacobi, Gauss-Seidel, SOR, SSOR methods, conjugate gradient methods and preconditioning and principles of the multi-grid methods; Elliptic "equilibrium" equation, Laplace and Poisson equations, finite difference and finite control volume concepts and stability analysis; Parabolic equations: explicit, implicit and Crank-Nicolson methods, time-splitting method, method of lines, Stability analysis; Hyperbolic equations; Introduction to other methods; future challenging problems. Also known as: (Environmental Engineering 625)
This course may not be repeated for credit.
Sections
| LEC 1 | TR 09:30 - 10:45
| SB 105
| Abdulmajeed Mohamad | | |
| Notes: This course offering is intended for students completing the Master of Engineering (MEng, thesis-based), Master of Science (MSc) or Doctor of Philosophy (PhD) program. |
| LEC 2 | MF 09:30 - 10:45
| WEB BASED
| Daniel Yu-Hing Kwok | | |
| Notes: This course offering is intended for students completing the Master of Engineering (MEng, course-based) program. |
This course will be offered next in
Fall 2023.