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

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.