Lecture

Interpolation of a Continuous Function

Description

This lecture covers the interpolation of a continuous function by a polynomial, focusing on equidistant interpolation points and the convergence of the polynomial to the function as the number of points increases. Through numerical experiments, the instructor demonstrates how the polynomial approximation approaches the original function in the central region but deviates towards the boundaries, illustrating the impact of the function's characteristics on the convergence.

In MOOCs (4)

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_n0unulmg

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Ontological neighbourhood

Mathematics

Topology: General topology

Analysis: Numerical analysis

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