The function $y = g(x) = \mathrm{log}\big(W(e^x)\big)$, where $W()$ denotes the Lambert W function, is the solution to the equation $y + e^y = x$. It appears in various problem situations, for instance the calculation of current-voltage curves for solar cells. A direct calculation of $g(x)$ may be inaccurate because of arithmetic underflow or overflow. We present a simple algorithm for calculating $g(x)$ that is robust, in that it will work for almost all $x$ values which are representable in the arithmetic of one's chosen computer language. The algorithm does not assume that the chosen computer language implements the Lambert W function.
Accurate and efficient explicit approximations of the Colebrook flow friction equation based on the Wright-Omega function
European Commission, Joint Research Centre (JRC), Directorate C: Energy, Transport and Climate, Unit C3: Energy Security, Distribution and Markets(欧盟委员会联合研究中心);Alfatec;IT4Innovations National Supercomputing Center, VŠB—Technical University of Ostrava(俄斯特拉发理工大学IT4创新国家超级计算中心)
Probabilistic approximation of fully nonlinear second-order PIDEs with convergence rates for the universal robust limit theorem
College of Mathematics and Systems Science, Shandong University of Science and Technology(山东科技大学数学与系统科学学院);Zhongtai Securities Institute for Financial Studies, Shandong University(山东大学齐鲁证券金融研究院);Department of Statistics, The University of Warwick(华威大学统计系)