Course

MATH-251(a): Numerical analysis

Summary

Ce cours présente des méthodes numériques pour résoudre des problèmes mathématiques tels que les systèmes d'équations linéaires et non linéaires, le calcul de valeurs et vecteurs propres, l'approximation de fonctions, la dérivation, l'intégration et les équations différentielles.

Lectures

Instructor

Guillaume Alexandre C Olikier

Expertise Continuous optimization, numerical analysis Guillaume Olikier is a postdoctoral researcher (Bernoulli Instructor) within the Institute of Mathematics at EPFL. He received an engineering degree in applied mathematics (2017) and a PhD in engineering sciences and technology (2023) from UCLouvain, Louvain-la-Neuve, Belgium. From 2023 to 2025, he was a postdoctoral researcher (Starting Research Position) at the Inria Centre at Université Côte d’Azur, Sophia Antipolis, France. His main research area is

Official source

https://edu.epfl.ch/coursebook/en/numerical-analysis-MATH-251-A

Moodle Page

http://go.epfl.ch/MATH-251_a

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Summary

Lectures

Instructor

Guillaume Alexandre C Olikier

Official source

https://edu.epfl.ch/coursebook/en/numerical-analysis-MATH-251-A

Moodle Page

http://go.epfl.ch/MATH-251_a

About this result

Lectures in this course (53)

Numerical Analysis: Jupyter Notebook Tutorial

Covers course organization, Jupyter Notebook for Python experimentation, algorithms, interpolation, solving equations, linear systems, and practical applications.

Floating Point Representation in Computers

Covers the representation of real numbers in a computer using floating point representation and the dangers of significant digit cancellation.

Fixed Point Methods: Non-linear Equations

Covers fixed point methods for finding zeros of non-linear equations.

Electrical Circuit: Fixed Point Methods

Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.

Higher Order Methods: Iterative Techniques

Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.

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