Department of Electrical Engineeringhttps://www.univ-soukahras.dz/en/dept/ge |
Module: Applied numerical methods and optimization
Lecturer | Tahar BOUADJILA |
Information |
Master - Industrial Electrotechnics
Department of Electrical Engineering Website : https://www.univ-soukahras.dz/en/module/5148 Semester : S1 Unit : UEF2.1 Credit : 4 Coefficient: 2 |
Content | ..Chapter I: Review of Some Numerical Methods (3 weeks) Solving nonlinear systems of equations using iterative methods. Numerical integration and differentiation. Methods for solving ordinary differential equations (ODEs): Euler\'s methods, Runge-Kutta methods, Adams method. Solving systems of ODEs. Chapter II: Partial Differential Equations (PDEs) (6 weeks) Introduction and classification of partial differential equation problems and boundary conditions. Methods for solving PDEs: Finite Difference Method (FDM), Finite Volume Method (FVM), Finite Element Method (FEM). Chapter III: Optimization Techniques (6 weeks) Definition and formulation of an optimization problem. Single and multi-objective optimization with or without constraints. Unconstrained optimization algorithms (deterministic methods, stochastic methods). Handling constraints (transformation methods, direct methods). |
Evaluation | ..Continuous assessment: 40%; Exam (60%) |