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Numerical methods : simulations - 4PMBMNU9

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  • Number of hours

    • Lectures : 14.0
    • Tutorials : 14.0
    • Laboratory works : 32.0
    ECTS : 3.5

Goals

Learn the most important numerical methods to solve ordinary differential equation and partial derivative equations in order to model physical phenomenon.

Contact Jean-Marc DEDULLE

Content

  • 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

Tests

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 EN

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

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Université Grenoble Alpes