TY - JOUR A1 - Schreier, Franz A1 - Kohlert, Dieter T1 - Optimized implementations of rational approximations-a case study on the Voigt and complex error function JF - Computer Physics Communications : an international journal for computational physics and physical chemistry N2 - Rational functions are frequently used as efficient yet accurate numerical approximations for real and complex valued special functions. For the complex error function , whose real part is the Voigt function , the rational approximation developed by Hui, Armstrong, and Wray [Rapid computation of the Voigt and complex error functions, J. Quant. Spectrosc. Radiat. Transfer 19 (1978) 509–516] is investigated. Various optimizations for the algorithm are discussed. In many applications, where these functions have to be calculated for a large x grid with constant y, an implementation using real arithmetic and factorization of invariant terms is especially efficient. Y1 - 2008 U6 - https://doi.org/10.1016/j.cpc.2008.04.012 SN - 0010-4655 VL - 179 IS - 7 SP - 457 EP - 465 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Kohlert, Dieter T1 - The sub-threshold behaviour of the MOS field-effect transistor JF - European Journal of Physics Y1 - 1998 UR - https://www.scopus.com/authid/detail.uri?authorId=6602919972#disabled VL - 19 IS - 2 SP - 125 EP - 131 PB - IOP Science ER -