Advanced Numerical Methods

lmeca2300  2019-2020  Louvain-la-Neuve

Advanced Numerical Methods
Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
30.0 h + 30.0 h
Q2
Language
English
Main themes
  • Integral Methods
  • Finite elements
  • Spectral and pseudo-spectral Methods
  • Error estimation, adaptivity, mesh generation
  • Techniques of resolution of large (non-)linear systems
  • Implementation data-processing: parallel calculation, use of the specialized libraries, techniques of numerical programming.
Aims

At the end of this learning unit, the student is able to :

1

In consideration of the reference table AA of the program"Masters degree in Mechanical Engineering", this course contributes to the development, to the acquisition and to the evaluation of the following experiences of learning:

  • AA1.1, AA1.2, AA1.3
  • AA2.2, AA2.3, AA2.4
  • AA3.1, AA3.3
  • AA6.1, AA6.4

Advanced numerical methods The requirements for the students are the following:

  • To select and to apply the right method for a given problem.
  • To evaluate the algorithmic complexity of a method.
  • To efficiently use the numerical available libraries (Lapack)
  • To provide an estimate of the error.
  • To evaluate the quality of a mesh for a given method.
  • To perform a calculation on a parallel architecture.
  • To program a simple integral method.
  • To program a method finite elements.
  • To solve in an iterative way of the (non-)linear large systems
 

The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Content
  • Integral Methods.
  • Finite elements.
  • Spectral and pseudo-spectral Methods.
  • Error estimation, adaptivity, mesh generation.
  • Techniques of resolution of large (non-)linear systems.
  • Implementation data-processing: parallel calculation, use of the specialized libraries, techniques of numerical programming.
Teaching methods
In the pratical organisation, a great importance will be given to collaborative projets. Flexibility will be emphazed in order to focus on a problem solving approach.
Evaluation methods
Exam.
Faculty or entity


Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Sigle
Credits
Prerequisites
Aims
Master [120] in Biomedical Engineering

Master [120] in Mechanical Engineering

Master [120] in Physical Engineering

Master [120] in Mathematical Engineering

Master [120] in Electro-mechanical Engineering

Master [120] in Electrical Engineering