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

作者：Abrarov Sanjar M^*; Quine Brendan M

来源：Applied Mathematics and Computation, 2018, 321: 526-543.

DOI：10.1016/j.amc.2017.10.032

• Complex error function
• Faddeeva function
• Dawson's integral
• Rational approximation

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 similar to 10(-14) in the domain of practical importance 0 <= y < 0.1 boolean AND vertical bar x + iy vertical bar <= 8. A Matlab code for computation of the complex error function with entire coverage of the complex plane is presented.

• 出版日期2018-3-15