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MATH-F3141

Analyse numérique pour les équations aux dérivées partielles

academic year
2025-2026
2026-2027

Course teacher(s)

Bernard KNAEPEN (Coordinator)

ECTS credits

5

Language(s) of instruction

english, french

Course content

Introduction to numerical methods for the resolution of partial differential equations
  1. Integration of ordinary differential equations
  2. Differentiation by the method of finite differences
  3. Resolution of partial differential équations
  4. Iterative methods for the inversion of linear equations
  5. 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.

Teaching methods and learning activities

Classes and practical exercises (exercises might be given in English)

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, including exercise sessions

 

Mark calculation method (including weighting of intermediary marks)

Written exam: 100%
 

Language(s) of evaluation

  • french
  • (if applicable english )

Programmes