Affiliation:
1. United Arab Emirates University, Al-Ain, UAE
Abstract
We present a new simple algorithm for efficient, and relatively accurate computation of the Faddeyeva function
w
(
z
). The algorithm carefully exploits previous approximations by Hui et al. (1978) and Humlíček (1982) along with asymptotic expressions from Laplace continued fractions. Over a wide and fine grid of the complex argument,
z = x + iy
, numerical results from the present approximation show a maximum relative error less than 4.0 × 10
−5
for both real and imaginary parts of
w
while running in a relatively shorter execution time than other competitive techniques. In addition to the calculation of the Faddeyeva function,
w
, partial derivatives of the real and imaginary parts of the function can easily be calculated and returned as optional output.
Publisher
Association for Computing Machinery (ACM)
Subject
Applied Mathematics,Software
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