- Let us consider implications of the transformation .
- Integration formulae for
**x**(which assume integrand polynomial) equally spaced (or distribution of Gaussian formulae) grid points. - But we have seen
**y**is a better variable and we will rather get equally spaced points in**y**. - Now . A fixed spacing spacing
in
**x**space . - That is,
**x**points are concentrated near the origin. - This is intuitively reasonable as the integrand is rapidly varying near the origin.

Geoffrey Fox, Northeast Parallel Architectures Center at Syracuse University, gcf@npac.syr.edu