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In this work we show a rational approximation of the Dawson's integral thatcan be implemented for high-accuracy computation of the complex error functionin a rapid algorithm. Specifically, this approach provides accuracy exceeding$\sim {10^{ - 14}}$ in the domain of practical importance $0 \le y < 0.1 \cap\left| {x + iy} \right| \le 8$. A Matlab code for computation of the complexerror function with entire coverage of the complex plane is presented.

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