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

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dc.contributor.authorAbrarov, S. M.
dc.contributor.authorQuine, B. M.
dc.date.accessioned2014-05-15T16:59:00Z
dc.date.available2014-05-15T16:59:00Z
dc.date.issued2014-06
dc.description.abstractWe 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.
dc.identifier.citationS. M. Abrarov and B. M. Quine, “Master-Slave Algorithm for Highly Accurate and Rapid Computation of the Voigt/Complex Error Function,” Journal of Mathematics Research, vol. 6, no. 2, May 2014.
dc.identifier.urihttp://hdl.handle.net/10315/27521
dc.identifier.urihttp://dx.doi.org/10.5539/jmr.v6n2p104
dc.language.isoen
dc.publisherJournal of Mathematics Research
dc.rights© 2014. This manuscript version is made available under the CC BY 4.0 license
dc.rights.urihttps://creativecommons.org/licenses/by/4.0
dc.subjectcomplex error function
dc.subjectcomplex probability function
dc.subjectVoigt function
dc.subjectFaddeeva function
dc.subjectplasma dispersion function
dc.subjectcomplementary error function
dc.subjecterror function
dc.subjectFresnel integral
dc.subjectDawson’s integral
dc.subjectmaster-slave algorithm
dc.titleMaster-Slave Algorithm for Highly Accurate and Rapid Computation of the Voigt/Complex Error Function
dc.typeArticle

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