IDEAS home Printed from https://ideas.repec.org/a/ibn/esrjnl/v8y2019i2p52.html
   My bibliography  Save this article

A Single-Domain Implementation of the Voigt/Complex Error Function by Vectorized Interpolation

Author

Listed:
  • S. M. Abrarov
  • B. M. Quine
  • R. Siddiqui
  • R. K. Jagpal

Abstract

In this work we show how to perform a rapid computation of the Voigt/complex error over a single domain by vectorized interpolation. This approach enables us to cover the entire set of the parameters x,y ∈ \mathbb{R} required for the HITRAN-based spectroscopic applications. The computational test reveals that within domains x ∈ [0,15] ∩y ∈ [10^{-8},15] and x ∈ [0,50000] ∩ y ≥ 10^{-8} our algorithmic implementation is faster in computation by factors of about 8 and 3, respectively, as compared to the fastest known C/C++ code for the Voigt/complex error function. A rapid MATLAB code is presented.

Suggested Citation

  • S. M. Abrarov & B. M. Quine & R. Siddiqui & R. K. Jagpal, 2019. "A Single-Domain Implementation of the Voigt/Complex Error Function by Vectorized Interpolation," Earth Science Research, Canadian Center of Science and Education, vol. 8(2), pages 1-52, February.
    • Handle: RePEc:ibn:esrjnl:v:8:y:2019:i:2:p:52
    as

    Download full text from publisher

    File URL: http://www.ccsenet.org/journal/index.php/esr/article/download/0/0/40388/41993
    Download Restriction: no
    File URL: http://www.ccsenet.org/journal/index.php/esr/article/view/0/40388
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Abrarov, S.M. & Quine, B.M., 2015. "Sampling by incomplete cosine expansion of the sinc function: Application to the Voigt/complex error function," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 425-435.
    2. Abrarov, Sanjar M. & Quine, Brendan M., 2018. "A rational approximation of the Dawson’s integral for efficient computation of the complex error function," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 526-543.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sanjar M. Abrarov & Rehan Siddiqui & Rajinder K. Jagpal & Brendan M. Quine, 2022. "A Two-Domain MATLAB Implementation for Efficient Computation of the Voigt/Complex Error Function," Mathematics, MDPI, vol. 10(19), pages 1-14, September.
    2. Abrarov, Sanjar M. & Quine, Brendan M., 2018. "A rational approximation of the Dawson’s integral for efficient computation of the complex error function," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 526-543.

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ibn:esrjnl:v:8:y:2019:i:2:p:52. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.