ECAM LaSalle Mechanical and Electrical Engineering Programme
Données Générales
Programme Académique ECAM LaSalle Mechanical and Electrical Engineering Programme Responsable(s) Module :
BARILLON Cristelle,BITAR Diala
Type d'EC : Cours Simulations And Numerical Methods (LIIEEng04ESimNumMethods)
TD : 12h00
Cours : 12h00
Travail personnel : 24h00
Durée totale: 48h00
Status
Periode
Semester 4
Langue d'enseignement :
English
Objectifs Généraux
To solve mathematical problems numerically through computer programming:
1. Describe a mathematical problem
2. Develop numerical methods for solving the equations
3. Implement an appropriate numerical algorithm using Octave
4. Calculate numerical solutions
5. Estimate numerical calculations errors
6. Provide graphical illustrations
Contenu
Introduction to numerical simulations, mathematical formulations and computer programming.
Description of classical numerical methods (discretization, Bisection method, Newton's method, Euler's method, Gaussian elimination, curve fitting, numerical integration, numerical differentiation, finite elements)
Implementing appropriate numerical algorithm using Octave.
Numerical approximation and error estimation.
Graphical representation.
Prérequis
Mathematics 1, 2 and 3
Computer programming
Simulations and Numerical Calculations 1
Bibliographie
Jeffrey R. Chasnov, Introduction to Numerical Methods, 2012
Timmy Siauw, Alexandre M. Bayen, An Introduction to MATLAB Programming and Numerical Methods for Engineers, 2014
ECAM Bibliography
Évaluation(s)
Nature Coefficient Objectifs
1 Involvement, motivations and coding capacities 0,30 Continuous Assessments and Class attendance
2 0,1 Practical work
3 Project 0,6 Final Project (Report + Codes)