Advanced Numerical Methods

lmeca2300  2020-2021  Louvain-la-Neuve

Advanced Numerical Methods
Due to the COVID-19 crisis, the information below is subject to change, in particular that concerning the teaching mode (presential, distance or in a comodal or hybrid format).
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
 
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

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

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

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

Exam.
Homeworks are also graded and the obtained marks contribute to the final grade. Note that a pass grade (> 10) has to be obtained at the exam for the homework grades to be accounted for.
 
Faculty or entity


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

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

Master [120] in Electrical Engineering

Master [120] in Electro-mechanical Engineering

Master [120] in Mathematical Engineering

Master [120] in Biomedical Engineering

Master [120] in Mechanical Engineering