Mathematical Modeling in Mechanics (POLYTECH)

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.

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 difficulty

1. Implement numerical methods to solve these equations (mainly

finite differences and spectral approach), take boundary conditions into account

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

weaknesses 

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

modeled

Mathematics

Scientific Calculation

Differential calculus and differential equations

Recommended prerequisites:

English

Final exam + practical work