Among the numerical inverse Laplace transformation (NILT) methods, those that belong to the Abate-Whitt framework (AWF) are considered to be the most efficient ones currently. It is a characteristic feature of the AWF NILT procedures that they are independent of the transform function and the time point of interest. In this work we propose an NILT procedure that goes beyond this limitation and optimize the accuracy of the NILT utilizing also the transform function and the time point of interest.

翻译：在数字反拉普尔变换(NILT)方法中,属于Abate-Whitt框架(AWF)的方法被认为是目前最有效的方法,这是AWF NILT程序的一个特点,即它们独立于变换功能和时间点,在这项工作中,我们提议一个超出这一限制的NILT程序,并尽量提高NILT的准确性,同时利用变换功能和时间点。