Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A sampling-based approximation of the complex error function and its
  implementation without poles   Recently we developed a new sampling methodology based on incomplete cosine
expansion of the sinc function and applied it in numerical integration in order
to obtain a rational approximation for the complex error function $w\left(z
\right) = e^{- {z^2}}\left(1 + \frac{2i}{\sqrt \pi}\int_0^z e^{t^2}dt\right),$
where $z = x + iy$. As a further development, in this work we show how this
sampling-based rational approximation can be transformed into alternative form
for efficient computation of the complex error function $w\left(z \right)$ at
smaller values of the imaginary argument $y=\operatorname{Im}\left[z \right]$.
Such an approach enables us to avoid poles in implementation and to cover the
entire complex plain with high accuracy in a rapid algorithm. An optimized
Matlab code utilizing only three rapid approximations is presented.

20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an