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MATH-H410

Monte Carlo methods

academic year
2026-2027

Course teacher(s)

Pierre-Etienne LABEAU (Coordinator) and Matteo Zanetti

ECTS credits

3

Language(s) of instruction

english

Course content

Basic concepts and relevance of Monte Carlo simulation
Sampling methods
Estimation of definite integrals
Convergence and accuracy
Variance-reduction methods
Application to various engineering problems, like particle transport problems (neutron reactor physics, radiation therapy...), power system performance, system reliability

Coding exercises and project.

 

Objectives (and/or specific learning outcomes)

Provide the students with an in-depth understanding of the concepts at hand in Monte Carlo simulation algorithms applied to some engineering problems.
Enable them to learn how to code Monte Carlo algorithms.

Prerequisites and Corequisites

Required and Corequired knowledge and skills

Bachelor level in engineering or sciences

Teaching methods and learning activities

Oral lectures emphasizing the intuition of the students in improving the efficiency of Monte Carlo schemes
Exercises including programming
Seminars on industrial applications

References, bibliography, and recommended reading

See UV

Course notes

  • Université virtuelle

Contribution to the teaching profile

Development of the skills of the students in the mathematical modeling of systems

Other information

Contacts

Pierre-Etienne LABEAU, pierre.etienne.labeau@ulb.be

Campus

Solbosch

Evaluation

Method(s) of evaluation

  • Project
  • Oral presentation

Project

Oral presentation

Assessment based on two parts:
* programming project
* presentation of a scientific paper related to the theory of Monte Carlo methods seen during the lectures

Mark calculation method (including weighting of intermediary marks)

50% programming project, 50% presentation

Language(s) of evaluation

  • english

Programmes