Evaluation of inverse Fourier transforms through romberg integration

This study deals with evaluation of inverse integral transforms through numerical integration. Arguments are presented to explain that such a numerical evaluation is mathematically incorrect. In recent years, a sudden increase has been noticed in the number of research publications in which Romberg integration is said to have used in evaluating the inverse Fourier transforms. In this regard, even the references cited in these papers do not support such an evaluation but suggest contrary. An immediate concern is to caution the researchers studying the source problems in the field of solid mechanics over the use and approval of an erroneous numerical technique.