Gauss's Gaussian quadrature | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Gauss's Gaussian quadrature

By Jesús María Sanz-Serna

Appears in collection : Numerical Methods and Scientific Computing / Méthodes numériques et calcul scientifique

It is standard to present Gaussian quadrature in connection with orthogonal polynomials. However Gauss himself arrived at his quadrature rules by following a very different path. The talk will be a guided tour through Gauss's original memoir, a fascinating mathematical work that uses, in a masterly way, rational approximation, continued fractions, integral transforms, and many other resources. As any numerical analyst would do today, Gauss wraps up by presenting an experiment that shows the superiority of his approach when compared with other available techniques.

Information about the video

Date of recording 08/11/2021
Date of publication 26/11/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.19829903
Cite this video Sanz-Serna, Jesús María (08/11/2021). Gauss's Gaussian quadrature. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19829903
URL https://dx.doi.org/10.24350/CIRM.V.19829903

Domain(s)

Bibliography

GAUSS, K.F. Methodus nova integralium valores per approximationem inveniendi -

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2026

Give feedback