Jiming Song

TL;DR: In this article, a simple and versatile approach for the acceleration of the spectral domain approach for generalized shielded microstrip interconnects is presented, which uses asymptotic expansion for the Bessel's function and the Green's function followed by an approximation of infinite summation using two fast convergent sine cosine series.

TL;DR: In this article, a novel approach for fast approximation of a summation to an integral with midpoint summation (MPS) has been developed, which requires one term less than the existing Euler-Maclaurin formula (EMF) for obtaining the same order of accuracy.

TL;DR: In this paper, the truncated and degenerated (TD) kernel function method is applied as the mathematical framework for solving 3D arbitrary shaped eddy current NDE forward problems, which results in a significant reduction in computational burden with nearly linear complexity.

TL;DR: The present algorithm is motivated by the multilevel fast multipole algorithm (MLFMA), but is different from that described by Brandt (1991), where the restriction of the Fourier data to an Ewald sphere is lifted so that it can be arbitrarily distributed as well.

TL;DR: By implementing the multilevel fast multipole algorithm based on point-to-point interactions, the number of levels used is not limited by the size of basis functions, making MLFMA more efficient.