On the weighted Gau{\ss}--Radau Quadrature

TL;DR

This paper discusses properties of weighted Gauß--Radau quadrature, emphasizing how the quadrature points vary continuously with changes in the weighting function, contributing to the understanding of its mathematical structure.

Contribution

It provides insights into the behavior of Gauß--Radau quadrature points as functions of the weighting function, enhancing theoretical understanding.

Findings

Gauß--Radau points depend continuously on the weighting function

Collected key facts about weighted Gauß--Radau quadrature

Clarified the relationship between quadrature points and weights

Abstract

In this short note, we collect some facts on the weighted Gau{\ss}--Radau quadrature. In particular, we focus on the location of the Gau\ss--Radau points being a continuous function of the $L^1$-weighting function.