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School of engineering in Physics, Applied Physics, Electronics & Materials
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Our engineering & Master degrees
Our engineering & Master degrees

> Studies

Numerical methods - 4PMMNUM9

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  • Number of hours

    • Lectures : 15.0
    • Tutorials : 15.0
    • Laboratory works : 34.0
    • Projects : ?
    • Internship : ?
    ECTS : 4.0

Goals

This course aims to solve numerically different problems associated to the modelling in physics (ordinary differential equations, partial differential equations, optimisation, ...). Numerical Tools (integration, interpolation, solving systems of equations) as well methods (Finite Difference method, Finite Element Method, ...) are presented. Discrete modelling techniques are also introduced (Monte Carlo, Cellular Automata, genetic algorithms ...).

Contact Remy DENDIEVEL

Content

  • Introduction to Matlab
  • Ordinary Differential Equation (stability, prediction/correction, error control ...)
  • Finite Differences (explicit, implicit schemes ...)
  • Numerical Interpolation ; Numerical Integration
  • Finite Element Methods (projective approach, weak form, meshing)
  • System solving (direct methods, iterative methods, gradient or descent method)
  • Optimisation
  • Monte Carlo method


Prerequisites

Tests

september to january (4 hours per week)
Closed-book Final Exam : Theoretical and Practical

TO SEE FICHE 2A-SIM 4PMMNUM9



Additional Information

Curriculum->SIM->Semester 7

Bibliography


* Computational Materials Science, Raabe D., Wiley-VCH, Weinheim, 1998.
* Numerical recipes : http://www.nr.com/

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Date of update March 6, 2019

Grenoble INP Institut d'ingénierie Univ. Grenoble Alpes