Mathematical Modeling in Mechanics (POLYTECH)

  • Level of study

    BAC +3

  • ECTS

    5 credits

  • Component

    Faculty of Science

Description

The course links scientific computing and variational methods for mechanics and is designed to model simple physical equations and implement numerical methods to solve these equations.

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Objectives

Model physical equations (solid mechanics, diffusion/transport equations),

wave equations, etc.) in the form of ODEs or PDEs, classify these equations according to their degree of complexity.

difficulty

  1. Use numerical methods to solve these equations (essentially

differences and spectral approach), take into account boundary conditions

  1. Analyze the effectiveness of numerical schemes, and understand their strengths and weaknesses.

weaknesses 

  1. Critically analyze mathematical and numerical solutions in relation to physics

modeled

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Necessary pre-requisites

Mathematics

Scientific Computing

Differential calculus and differential equations

Recommended prerequisites*:

English

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Knowledge control

Final exam + practical work

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