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In this paper a detailed description, an analysis, and an assessment of a frequency-domain technique highly applicable to power systems transient analysis (i.e., the numerical Laplace transform) are presented. The errors due to truncation and sampling when converting a frequency-domain signal to the time domain are analyzed. Additionally, the use of odd and regular sampling is discussed. Two major goals of the paper are the revival of the mentioned technique and its friendly description for power systems engineers. As an application, a transmission-line transient is presented.