Introduction to Numerical Methods for Engineers

3 credits · Graduate Programs

Introduction to 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, Matrices, normal forms, Gauss elimination method, LU-decomposition, tridiagonal systems of equations; iterative methods, Jacobi, Gauss-Seidel, SOR, SSOR methods, finite difference and finite control volume concepts and stability analysis; Parabolic equations: explicit and implicit methods, time-splitting method. Prerequisite(s): Admission to MEng, Mechanical Engineering Program.