List questions from catastrophic-cancellation | MathQA

How does rewriting $x^2 -y^2$ as $(x+y)(x-y)$ avoid catastrophic cancellation?

Published on 25 Apr 2012 - 5:24

Show this sequence does not approximate $\int_0^1 \frac{x^n}{x+5}dx$ in machine arithmetic

Published on 25 Aug 2020 - 13:40

Avoiding catastrophic cancellation

Published on 22 Sep 2020 - 7:49

Avoiding catastrophic cancellation in $1-\operatorname{sinc}x$

Published on 22 Apr 2021 - 13:43

Cancellation Problem in Borwein's quartic Algorithm for computing $\pi$

Published on 06 Dec 2021 - 13:04

Explanation for MATLAB floating point number calculation?

Published on 02 Oct 2022 - 16:16