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A method of large-signal time-domain simulation of class-E amplifier is presented. The method is based on a family of semianalytical-recursive algorithms (SARA) of convolution. Because of absolute stability, high accuracy, low numerical complexity, and high speed, SARA algorithms seem to be a very convenient tool for simulation of class-E amplifier, as an example of circuits with widely separated values of time constants. Apart from the presentation of the simulation method, the description of computer program and examples of simulation results are given.