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# Master-Slave Algorithm for Highly Accurate and Rapid Computation of the Voigt/Complex Error Function

Master-Slave Algorithm for Highly Accurate and Rapid Computation of the Voigt/Complex Error Function

 Title: Master-Slave Algorithm for Highly Accurate and Rapid Computation of the Voigt/Complex Error Function Author: Abrarov, S. M.Quine, B. M. Abstract: We obtain a rational approximation of the Voigt/complex error function by Fourier expansion of the exponential function ${e^{ - {{\left( {t - 2\sigma } \right)}^2}}}$ and present master-slave algorithm for its efficient computation. The error analysis shows that at $y > {10^{ - 5}}$ the computed values match with highly accurate references up to the last decimal digits. The common problem that occurs at $y \to 0$ is effectively resolved by main and supplementary approximations running computation flow in a master-slave mode. Since the proposed approximation is rational function, it can be implemented in a rapid algorithm. Subject: complex error function, complex probability function, Voigt function, Faddeeva function, plasma dispersion function, complementary error function, error function, Fresnel integral, Dawson’s integral, master-slave algorithm Rights: http://dx.doi.org/10.5539/jmr.v6n2p104 URI: http://hdl.handle.net/10315/27521 Published: Journal of Mathematics Research Date: 2014-06

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