A rational approximation of the Dawson’s integral for efficient computation of the complex error function
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摘要
In this work we show a rational approximation of the Dawson’s integral that can be implemented for high accuracy computation of the complex error function in a rapid algorithm. Specifically, this approach provides accuracy exceeding ∼10−14 in the domain of practical importance 0≤y<0.1∩|x+iy|≤8. A Matlab code for computation of the complex error function with entire coverage of the complex plane is presented.
论文关键词：Complex error function,Faddeeva function,Dawson’s integral,Rational approximation
论文评审过程：Received 3 January 2016, Revised 8 September 2017, Accepted 13 October 2017, Available online 22 November 2017, Version of Record 22 November 2017.
论文官网地址：https://doi.org/10.1016/j.amc.2017.10.032
