Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accurate approximations for the complex error function with small
  imaginary argument   In this paper we present two efficient approximations for the complex error
function $w \left( {z} \right)$ with small imaginary argument
$\operatorname{Im}{\left[ { z } \right]} < < 1$ over the range $0 \le
\operatorname{Re}{\left[ { z } \right]} \le 15$ that is commonly considered
difficult for highly accurate and rapid computation. These approximations are
expressed in terms of the Dawson's integral $F\left( x \right)$ of real
argument $x$ that enables their efficient implementation in a rapid algorithm.
The error analysis we performed using the random input numbers $x$ and $y$
reveals that in the real and imaginary parts the average accuracy of the first
approximation exceeds ${10^{ - 9}}$ and ${10^{ - 14}}$, while the average
accuracy of the second approximation exceeds ${10^{ - 13}}$ and ${10^{ - 14}}$,
respectively. The first approximation is slightly faster in computation.
However, the second approximation provides excellent high-accuracy coverage
over the required domain.

21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
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The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys