Lecture

Interpolation of Degree 1 by Intervals

Description

This lecture covers the concept of interpolating a function of degree 1 over an interval. The instructor explains how to construct a continuous interpolating function that coincides with the original function at equidistant points within the interval. The theoretical result regarding the maximum error of the interpolation is also discussed, showing that the error is bounded by a constant times the square of the step size, independent of the function being interpolated. Numerical experiments confirm that the error decreases by a factor of 4 each time the step size is halved.

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.

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.