Lecture

Finite Difference Methods: Heat Equation Discretization

In course

Eiusmod ea mollit fugiat officia. Culpa id cupidatat culpa culpa quis incididunt qui velit sint esse incididunt. Labore laborum et est deserunt deserunt. Commodo proident exercitation Lorem sit elit ea tempor pariatur.

Description

This lecture covers the application of finite difference methods to discretize the heat equation, including the Crank-Nicholson method and the use of mass matrices. It explains the process step by step, from time discretization to space discretization, highlighting the importance of stability and precision in the numerical solution. The instructor also introduces implicit and explicit dynamics, discussing their advantages and limitations in solving fast dynamics problems.

Instructor

et non quis sit

Dolore anim in excepteur irure elit do. Aliqua ipsum quis ipsum incididunt duis duis fugiat mollit commodo. Duis eiusmod voluptate dolore reprehenderit voluptate velit est cillum nulla eiusmod enim consectetur. Aute quis non magna laboris tempor amet deserunt nulla duis non. Velit et eu enim consectetur pariatur eu fugiat. Aliquip Lorem magna reprehenderit esse ipsum tempor est aliquip anim ullamco pariatur anim tempor. Consequat Lorem ut et ut deserunt tempor dolor.

Official source

https://mediaspace.epfl.ch/media/0_264xj3td

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Analysis: Numerical analysis

Related lectures (34)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.