Program : Engineering Design & Product Development (EDPD)

Degree : PhD

Course Code : EDD 711

Course Name : Applied Numerical Methods

Course Category : Compulsory Core Courses

Semester : First Semester

Credit Hours : 3

Review of advanced techniques and computational software for the modeling, simulation and  optimization of Engineering Systems such as MATLAB, Engineering Equation Solver, EES, Maples, Spreadsheet, etc. Application of one or more of these software to the solution of common problems in engineering such as systems of linear algebraic equations; interpolations and curve fitting; roots of equations; numerical integration; initial value problems; boundary value problems; eigen -value problems; parametric analysis and optimization. The history of Finite Element Methods: past and present practices. A survey of computing methods. Mathematical foundation of FEM. Weak forms of the governing equations obtained from the variational formulation. Assembly of the master matrices and solution to obtain the field variables. A survey of methods of solution of the matrices. Specific application to equations of

solid mechanics, fluid flow, heat and mass transfer and electrical engineering network