Numerical methods : simulations - 4PMBNM36
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Number of hours
- Lectures : 5.25
- Tutorials : 5.25
- Laboratory works : 45.5
- Projects : 0
- Internship : 0
ECTS : 3.0
Goals
Learn the most important numerical methods to solve ordinary differential equation and partial derivative equations in order to model physical phenomenon.
Contact David JAUFFRES
Content - Course presentation - An introduction to modelling. Learn basic programming with Matlab®. Lab sessions: 8H00.
- Resolution of ordinary differential equations. Runge-Kutta methods. Lecture/tutorial: 1H30 - Lab sessions: 6H30.
- Finite differences method: implicit / explicit scheme. Lecture/tutorial: 3H00 - Lab sessions: 9H00.
- Linear system resolution (directs and iteratives methods). Lecture/tutorial: 1H30 - Lab session: 2H30.
- Numerical integration: Newton-cotes - Gauss. Polynomial interpolation. Lecture/tutorial: 1H30 - Lab sessions: 6H30.
- Finite elements method. Lecture/tutorial: 3H00 - Lab sessions: 13H00.
PrerequisitesBasic programming knowledge
Tests Semester 7 - The exam is given in english only 
In person!
NORMAL SESSION:
DS theory + practice
Catch-up evaluation:
DS theory + practice
Duration: 4 hours
Documents allowed: all
CATCH-UP SESSION:
theoretical + practical DS
Duration: 4 hours
Documents allowed: all
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In distance learning!
*NORMAL SESSION: *
DS theory + practice
Catch-up evaluation:
DS theory + practice
Duration: 4 hours
Documents allowed: all
CATCH-UP SESSION:
theoretical + practical DS
Duration: 4 hours
Documents allowed: all
N1=100%DS1
N2=100%DS2
Additional Information Semester 7 - This course is given in english only 
Curriculum->Engineering degree->Semester 7
Bibliography - William Bober, Chi-Tay Tsai, Oren Masory : "Numerical and analytical methods with MATLAB"
- J. Rappaz, M. Picasso : "Introduction à l’analyse numérique"
- P. LASCAUX & R. THEODOR : "Analyse numérique appliquée à l'art de l'ingénieur", Edition Masson, 2 tomes
- G. DHATT & G. TOUZOT : "Une présentation de la méthode des éléments finis", Edition Maloine S.A., 2ème édition 1984
- B. LUCQUIN & O. PIRONNEAU : "Introduction au calcul scientifique", Edition Masson, 1996
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Date of update June 11, 2015