A rational approximation of the Dawson's integral for efficient computation of the complex error function
Abstract
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.
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