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In this paper, digital filters are used for the stabilization of the marching-on-in-time (MOT) method. A methodology of designing a proper filter using optimization techniques is proposed here. Since the proposed procedure considers the important part of the spectrum of the excitation signal, the designed filter does not degrade the accuracy of the MOT method. Further, the procedure for the efficient stabilization of the MOT method by a set of filters is proposed and verified on the examples.doaj:a36033b717e348c6b2a32b942c600487 fatcat:ebzx5aobmfd2vn6dny6mn2i2aq