Abstract

Earth Science Research wishes to acknowledge the following individuals for their assistance with peer review of manuscripts for this issue. Their help and contributions in maintaining the quality of the journal is greatly appreciated.
 
 Earth Science Research is recruiting reviewers for the journal. If you are interested in becoming a reviewer, we welcome you to join us. Please find the application form and details at http://www.ccsenet.org/reviewer and e-mail the completed application form to esr@ccsenet.org.
 
 Reviewers for Volume 8, Number 2
 
 Bahareh Shoghli, University Of North Dakota, USA
 
 Esmat Ahmed Abou El-Anwar, National Research Centre, Egypt
 
 Fehmi ARIKAN, General Directorate of Mineral Research and Exploration Company, Turkey
 
 Helber Gomes, Federal University of São Paulo and Center for Weather Forecasting and Climate Research, Brazil
 
 Iyad Ahmed Abboud, Taibah University, Jordan
 
 Khalid Ubeid, Al-Azhar University-Gaza, Palestine
 
 P. Sathees Kumar, Mohamed Sathak Engineering College, INDIA
 
 Sanjeet Kumar Verma, University of Campinas, Brazil
 
 Saumitra Misra, University of KwaZulu-Natal, South Africa

Highlights

  • The complex error function, commonly known as the Faddeeva function, can be defined as (Faddeeva & Terent’ev, 1961; Armstrong 1967; Gautschi, 1970; Abramowitz & Stegun, 1972)z w (z) = e−z2 1 + 2i √ π et2 dt, (1)where z = x + iy is the complex argument

  • 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 ∈ R required for the HITRANbased spectroscopic applications

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Summary

Introduction

The complex error function, commonly known as the Faddeeva function, can be defined as (Faddeeva & Terent’ev, 1961; Armstrong 1967; Gautschi, 1970; Abramowitz & Stegun, 1972). The run-time test we performed shows that for the set of input numbers {x, y ∈ R: |x| + y ≤ 15} this two-domain scheme is faster in performance by a factor about 2 as compared to that of reported in (Schreier, 2018) (we used the MATLAB codes built on approximations (4) and (6)) This is possible to achieve since interpolation utilizes a simple cubic spline instead of a rational function of high order. This fact strongly motivated us to develop further an algorithm based on a vectorized interpolation for rapid computation of the Voigt/complex error function with accuracy that meets the requirement for the HITRAN spectroscopic applications (Hill et al, 2016). To the best of our knowledge, this method of computation of the Voigt/complex error function is new and has never been reported in scientific literature

Algorithmic Implementation
Error Analysis and Run-Time Test
Conclusion
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