Welcome To Khaled Ahmida Al-Ashouri space

Ahmida academic website

UoT, Sidi Almasri Road, Tripoli, Libya

k.ashouri@uot.edu.ly

(+218) 21-462 7910

Online Courses

Syllabus

Introduction, Basics & Elementary methods
Classifications of PDEs: elliptic, parabolic, hyperbolic
Finite Difference Method: 1D & 2D, higher order approximations, axisymmetric problems, coordinate transformation
Advanced methods for solution of system of algebraic equations: Incomplete Decomposition ILU, Strongly Implicit method (Stone’s method)
Conjugate Gradient Method
Stability and convergence of iterative methods: Fourier decomposition of errors, Spectral radius of convergence, Preconditioning
Multigrid Methods (Geometric Multigrid)
Treatment of time-dependent PDEs: Parabolic PDEs, Hyperbolic PDEs, Method of lines

Syllabus