Numerical Analysis
Goals
We will present basic numerical methods useful for engineering. Applications are given, which motivate the development of such methods, together with a systematic analysis of the accuracy.
Programme
- Linear systems, eigenvalues.
- Optimization, non-linear equation.
- Interpolation, numerical integration.
- Numerical approximation of ordinary differential equations.
- Discretization of linear partial differential equations.
Sustainable development
DD&RS level 1
Activity contextualised through environmentally sustainable development and social responsibility and/or supported by examples, exercises, applications.
Assessment method
valuation = 75% knowledge + 25% know-how (Knowledge = 100% final exam and know-how = 100% continuous assessment).
Bibliography
- A. QUARTERONI, R. SACCO, F. SALERI, Numerical Mathematics, Springer, 2006.0
- J.RAPPAZ,M.PICASSO, Introduction à l'analyse numérique, Presse polytecniques et universitaires romandes, 1998.0
- G.ALLAIRE S.M. KABER, Algèbre linéaire numérique, Ellipses, 2002.0
Course
12h
TC
14h
Code
24_I_G_S05_MTH_TC_2
Responsibles
- Laurent SEPPECHER
- Grégory VIAL
Language
French
Keywords
Approximation, linear systems, numerical integration, differential equations, optimisation.