Coursebooks 2017-2018

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Numerical approximation of PDE's I

MATH-451

Lecturer(s) :

Nobile Fabio

Language:

English

Summary

The aim of the course is to give a theoretical and practical knowledge 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, convergence analysis.

Learning Prerequisites

Required courses

Analysis I-II-III-IV, Numerical analysis

Recommended courses

Functional Analysis I, Introduction aux équations aux dérivées partielles, Measure and Integration, 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)

Yes

Bibliography

Ressources en bibliothèque
Moodle Link

Prerequisite for

Numerical Approximation of Partial Differential Equations II

In the programs

  • Financial engineering, 2017-2018, Master semester 2
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      5
    • Subject examined
      Numerical approximation of PDE's I
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Financial engineering, 2017-2018, Master semester 4
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      5
    • Subject examined
      Numerical approximation of PDE's I
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Mathematics, 2017-2018, Bachelor semester 6
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      5
    • Subject examined
      Numerical approximation of PDE's I
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Computational science and Engineering, 2017-2018, Master semester 2
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      5
    • Subject examined
      Numerical approximation of PDE's I
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks

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