Computational physics and Numerical analysis - Département de Physique de l'Ecole Normale supérieure

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Computational physics and Numerical analysis

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Next student seminar :
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Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Faculty: Emmanuel Dormy,
Tutor: Marylou Gabrié
Projects supervision: Emmanuel Dormy, Marylou Gabrié, Kris Van Houcke
ECTS credits: 6
Language of instuction: English (French if spoken by all students taking the course)
Web site: http://www.phys.ens.fr/~dormy/NUM

Description

Numerical modelling is now an essential tool to understand physical phenomena. It is complementary to experimental work as well as analytical models. Numerical models allow an easy modification of the governing parameters. They also allow direct and non-destructive measurement of all quantities, which is often not the case for experiments. Finally they allow to test theoretical models and in particular hypothesis on the relative strength of various terms in partial differential equations.
It should be noted however, that these models are not free of dangers. Building a numerical model too rapidly may lead to the erroneous physical interpretation of what really is a spurious numerical effect.
The first eight lectures will introduce computational physics and illustrate the physical and mathematical difficulties associated with numerical modelling. Finally, for students of the physics cursus, the seven last weeks will be devoted to projects developed by the students and relying on the course.

The course will cover the various approaches to build a numerical model for macroscopic physics and emphasise the strength and limitation of each method. Many practical applications will guide us throughout the course.

Content:

Finite differences, Compact methods, Finite Volumes, Finite Elements, Spectral Methods.
Convergence, stability, order of approximation, complexity.
Discontinuities, numerical diffusion, numerical dispersion, numerical anisotropy.
Complex geometries, boundary conditions, adaptativity.

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr