The Error Function and The Kink Soliton
Abstract
Description
We provide analytical functions approximating $\int e^{-x^2} dx$, the basis of which is the kink soliton and which are both accurate (error $< 0.2 %$) and simple. We demonstrate our results with some applications, particularly to the generation of Gaussian random fields.
15 pages, 5 eps figure, Latex2e. To appear in Letters in Applied Mathematics. Significant additions and modifications
15 pages, 5 eps figure, Latex2e. To appear in Letters in Applied Mathematics. Significant additions and modifications