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Stream: deprecated: mathematics

Topic: Lobatto quadrature formula from Gauss quadrature

Jan Pax (Feb 08 2023 at 18:37):

I have a problem with the computation of Lobatto quadrature formula.
In the second snippet of the Czech textbook they say:

we directly compute $(9.23)$ but I do not follow how did they computed $(9.25)$ and
$A_i=\frac{\bar{A}_i}{1-x_i}^2, i=1,...,n-1$

I think that integral of $P_1(x)$ is $-\frac{(1-x)^2}{4}f(-1)+\frac{(1+x)^2}{4}f(1)$
and hence form $-1$ to $1$ is $f(-1)+f(1)$; what next, how do I compute $A_i$ in $(9.25)$ ?

1.jpg 2.jpg

Notification Bot (Feb 09 2023 at 10:51):

This topic was moved here from #learning: questions > Lobatto quadrature formula from Gauss quadrature by Matteo Capucci (he/him).

Matteo Capucci (he/him) (Feb 09 2023 at 10:53):

FYI I sense this question is quite OT on this Zulip. You might have better luck on StackExchange!