Coursebooks

Numerical approximation of PDEs

MATH-451

Lecturer(s) :

Dubuis Samuel

Language:

English

Summary

The course pertains to the derivation, theoretical analysis and implementation of finite difference and finite element methods for the numerical approximation of partial differential equations in one or more dimensions.

Content

 

Keywords

Partial differential equations, finite difference method, finite element method, Galerkin approximation, stability and convergence analysis.

Learning Prerequisites

Required courses

Analysis I-II-III-IV, Numerical analysis.

Recommended courses

Functional analysis I, Measure and integration, Espaces de Sobolev et équations elliptiques, Advanced numerical analysis, Programming.

Important concepts to start the course

 

Learning Outcomes

By the end of the course, the student must be able to:

Transversal skills

Teaching methods

Ex cathedra lectures, exercises in the classroom and computer lab sessions.

Expected student activities

Assessment methods

Written exam. The exam may involve the use of a computer.

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

Supervision

Office hours Yes
Assistants Yes
Forum No

Resources

Virtual desktop infrastructure (VDI)

No

Bibliography

Ressources en bibliothèque
Moodle Link

Prerequisite for

Numerical approximation of PDEs II, Numerical methods for conservation laws, Numerical methods for saddle point problems.

In the programs

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
Under construction
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German