Advanced Numerical Methods [ LMECA2300 ]

> https://icampus.uclouvain.be/claroline/course/index.php?cid=MECA2300

- 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.

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

Exam.

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.

• 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.