Numerical simulations

Description

The aim of the second-semester course is to extend the numerical physics concepts introduced during the first semester, still in Python. Fourier methods, solutions to linear and non-linear systems are covered, as well as initial notions of conservation/transport equations and numerical stability. The course is supplemented by machine exercise sessions, and continues with group projects in the second half of the semester. Project topics include setting up sound manipulation tools, simple 1D plasma simulation, N-body system evolution and solving the non-stationary Schrodinger equation. 

Compétences visées

•    Applying knowledge in physics;

•    Apply methods from mathematics and digital technology;

•    Produce a critical analysis, with hindsight and perspective;

•    Develop and manage an experimental project, including digital aspects;

•    Operate an experimental device, including digital aspects, from use to data analysis;

•    Research a physics topic using specialised resources;

•    Communicate in writing and orally, including in English;

•    Respect ethical, professional and environmental principles in the practice of physics.

Syllabus

• Fourier Analysis and Fourier Transforms
• Linear and Non-Linear Systems of equations
• Transport and conservation equations
• Fundamentals of Ray Tracing
• Introduction to Parallel programming

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