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Analyse numérique pour les équations aux dérivées partielles

academic year

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
  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.

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


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




Method(s) of evaluation

  • 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.

Mark calculation method (including weighting of intermediary marks)

Written exam: 75%
Homework (project): 25%

Language(s) of evaluation

  • french
  • (if applicable english )