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1. Rapidly convergent series for high-accuracy calculation of the Voigt function

Author

Abrarov, S.M., Quine, B.M., and Jagpal, R.K.

Subjects
*FOURIER series, *VOIGT effect, *STOCHASTIC convergence, *ALGORITHMS, *MULTIPLIERS (Mathematical analysis), *APPROXIMATION theory, *PROBABILITY measures, *INTERPOLATION spaces
Abstract

Abstract: A rapidly convergent series, based on Fourier expansion of the exponential multiplier, is presented for highly accurate approximation of the Voigt function (VF). The corresponding algorithm enables the rapid calculation, required for its implementation as a subprogram in an interpolation approach. The numerical analysis of this VF approximation suggests that it may be more accurate than 10−9 in the Humlíček regions 3 and 4. [Copyright &y& Elsevier]

Published
2010
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