Number of hours
- Lectures 14.0
- Tutorials 14.0
- Laboratory works 32.0
ECTS
ECTS 3.5
Goal(s)
Learn the most important numerical methods to solve ordinary differential equation and partial derivative equations in order to model physical phenomenon.
Contact Jean-Marc DEDULLEContent(s)
- Course presentation - An introduction to modelling - DNA hybridation project. Learn basic programming with Matlab®. Lab session : 12H00.
- Resolution of ordinary differential equations. Runge-Kutta methods. Lecture: 2H00 - Problem session: 2H00 - Lab session: 4H00.
- Numerical integration: Newton-cotes - Gauss. Polynomial interpolation. Lecture: 2H00 - Problem session: 2H00 - Lab session: 4H00.
- Linear system resolution (directs and iteratives methods) and non linear. Lecture: 2H00 - Lab session: 2H00.
- Finite differences method: implicit / explicit scheme. Von Neumann stability. Lecture: 2H00 - Problem session: 2H00 - Lab session: 8H00.
- Finite elements method: nodal / edge. Lecture: 4H00 - Problem session: 4H00 - Lab session: 8H00.
Prerequisites
Test
The exam is given in english only
Assessment
Final exam + practical exam (4h)
Schedule
4h session/week : Lecture/Problem/Lab
Additional Information
This course is given in english only
Course list
Curriculum->BIOMED->Semester 3
Bibliography
- 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