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 + 22.5 h
Q1
Teacher(s)
Absil Pierre-Antoine;
Language
English
Main themes
- Interpolation
- Function approximation
- Numerical integration
Aims
At the end of this learning unit, the student is able to : | |
| 1 |
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Content
- Polynomial interpolation: Lagrange's interpolation formula, Neville's algorithm, Newton's interpolation formula, divided differences, Hermite interpolation.
- Interpolation by spline functions : cubic spline interpolation, B-splines.
- Rational interpolation.
- Trigonometric interpolation.
- Orthogonal polynomials : Legendre polynomials, Chebyshev polynomials.
- Polynomial minimax approximation : existence, de la Vallée-Poussin's theorem, equioscillation theorem, uniqueness, Chebyshev interpolation.
- Polynomial approximation in the least-squares sense.
- Numerical integration : Newton-Cotes formula, Gauss method.
- Integration of differential equations : introduction to the finite element method.
- Other topics related to the course themes.
Teaching methods
Due to the COVID-19 crisis, the information in this section is particularly likely to change.
- Lectures
- Homeworks, exercises, or laboratory work under the supervision of the teaching assistants
Evaluation methods
Due to the COVID-19 crisis, the information in this section is particularly likely to change.
- Homeworks, exercises, or laboratory work during the course semester
- Exam
Online resources
Bibliography
- Ouvrage de référence
- Documents complémentaires disponibles sur Moodle.
Faculty or entity
MAP
