Données Générales | ||||
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Programme Académique | ECAM LaSalle Mechanical and Electrical Engineering Programme | Responsable(s) Module :
BARILLON Cristelle,BITAR Diala |
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Type d'EC : Cours | Simulations And Numerical Methods (LIIEEng04ESimNumMethods) | |||
TD : 12h00 Cours : 12h00 Travail personnel : 24h00 Durée totale: 48h00 |
Status
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Periode
Semester 4 |
Langue d'enseignement :
English |
Objectifs Généraux |
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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 |
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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 |
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Mathematics 1, 2 and 3 Computer programming Simulations and Numerical Calculations 1 |
Bibliographie |
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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) | |||
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N° | 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) |