A high-order MRTD technique with Laguerre-polynomial-based time-integration

A new unconditionally stable method is derived as a modified version of the scaling function based-multiresolution time domain (S-MRTD), by replacing the customary explicit leapfrog time scheme with marching in order of weighted Laguerre polynomials. This paper proposes the use of high-order finite differences in space, in the sense of the S-MRTD technique. Thus, cell sizes close to the Nyquist limit can be used, that can still provide for satisfactory numerical dispersion properties, due to the high linearity of the S-MRTD dispersion. The methodology for the derivation of the proposed Laguerre-MRTD technique is shown and a numerical study of the this technique is provided.