Course

MATH-351: Advanced numerical analysis II

Summary

The student will learn state-of-the-art algorithms for solving differential equations. The analysis and implementation of these algorithms will be discussed in some detail.

Lectures

Instructor

Marco Picasso

Expertise Computational Science and Engineering Mission I am teaching analysis and numerical analysis for engineers and mathematicians at bachelor and master levels.My research pertains to the numerical simulation of complex physical systems with partial differential equations.Here is some bibliometry: Google Scholar, Research Gate, Orcid, here is my most recent CV. Ongoing research projects: - Numerical simulation of aluminium electrolysis, collaboration with RioTinto LRF lab, Ycoorsystems SA and Jacques

Official source

https://edu.epfl.ch/coursebook/en/advanced-numerical-analysis-ii-MATH-351

Moodle Page

http://go.epfl.ch/MATH-351

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Summary

The student will learn state-of-the-art algorithms for solving differential equations. The analysis and implementation of these algorithms will be discussed in some detail.

Lectures

Instructor

Marco Picasso

Official source

https://edu.epfl.ch/coursebook/en/advanced-numerical-analysis-ii-MATH-351

Moodle Page

http://go.epfl.ch/MATH-351

About this result

Lectures in this course (51)

Runge-Kutta Methods: Overview

Provides an overview of Runge-Kutta methods for solving ODEs of order 4.

Runge-Kutta Methods: Approximating Differential Equations

Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.

Convergence Analysis: Explicit RK Scheme

Explores the convergence analysis of the Explicit Runge-Kutta scheme for accurate numerical solutions.

Introduction to Partial Differential Equations

Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.

Numerical Analysis: Advanced Topics

Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.

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