4 years ago

Algorithm 985: Simple, efficient, and relatively accurate approximation for the evaluation of the Faddeyeva function.

Mofreh R. Zaghloul

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 Humlicek [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 4.0x10-5 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 URL: http://arxiv.org/abs/1711.05291

DOI: arXiv:1711.05291v1

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.