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MATH-F3141

Analyse numérique pour les équations aux dérivées partielles

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BROCHURE

academic year

2023-2024

2024-2025

Course teacher(s)

Bernard KNAEPEN (Coordinator)

ECTS credits

Language(s) of instruction

english, french

Course content

Introduction to numerical methods for the resolution of partial differential equations

Integration of ordinary differential equations
Differentiation by the method of finite differences
Resolution of partial differential équations
Iterative methods for the inversion of linear equations
Spectral methods: Fourier series and Chebyshev polynomials

Objectives (and/or specific learning outcomes)

- Formulate a numerical method for the resolution of partial differential equations
- Write a program in the Python language to solve a large range of problems described py partial differential equations
- Usage of programming tools including: jupyter notebook, numpy / scipy / matplotlib packages, git / github.

Prerequisites and Corequisites

Required and Corequired knowledge and skills

Basic knowledge of a computer programming language.

Required and corequired courses

Teaching methods and learning activities

Classes with integrated practical exercises / flipped classes / personnal work.

Course notes

Syllabus
Université virtuelle

Other information

Contacts

Prof. B. Knaepen, bernard.knaepen@ulb.be

Campus

Plaine

Evaluation

Method(s) of evaluation

Other

Other

- Written exam on the course material
- One homework to be handed in before the winter holidays. This homework cannot be presented again in second session. The mark obtained in first session is automatically transferred to the second session.