Numerical method 1 - 4PMMMNU1

Informations générales

  • Number of hours

    • Lectures 7.0
    • Projects 0
    • Tutorials 7.0
    • Internship 0
    • Laboratory works 16.0

    ECTS

    ECTS 2.5

Goal(s)

The overall objective of the two Digital Methods courses is to provide students with the means to solve various problems related to modeling in engineering science (differential equations, partial differential equations, optimization, etc.). We use a tool (Matlab or Python) that is both a computing environment, a computer language, and a digital toolbox. The ultimate goal is to become an informed user, i.e., to know how to answer the question: which method for which problem?
The “Numerical Methods 1” course covers methods for solving differential equations and finite difference methods.

Contact Remy DENDIEVEL, Alexis DESCHAMPS, Fabien VOLPI

Content(s)

  • Introduction to Matlab
  • Ordinary Differential Equations (Runge Kutta methods, temporal stability, prediction/correction, error control, etc.)
  • Finite Differences (steady state, transient state: explicit & implicit schemes, etc.).


Prerequisites

Algorithmic culture
Mathematical tools: derivation, limited developments, differential operators, algebra, matrix calculus.

Test



Additional Information

Course list
Curriculum->SIM->Semester 7

Bibliography

Computational Materials Science, Raabe D., Wiley-VCH, Weinheim, 1998.