Arun Viswanathan, Nancy Feldman, et al.
IEEE Communications Magazine
Since the first papers on asymptotic waveform evaluation (AWE), Padé-based reduced order models have become standard for improving coupled circuit-interconnect simulation efficiency. Such models can be accurately computed using bi-orthogonalization algorithms like Padé via Lanczos (PVL), but the resulting Padé approximates can still be unstable even when generated from stable RLC circuits. For certain classes of RC circuits it has been shown that congruence transforms, like the Arnoldi algorithm, can generate guaranteed stable and passive reduced-order models. In this paper we present a computationally efficient model-order reduction technique, the coordinate-transformed Arnoldi algorithm, and show that this method generates arbitrarily accurate and guaranteed stable reduced-order models for RLC circuits. Examples are presented which demonstrates the enhanced stability and efficiency of the new method. © 1999 Published by Elsevier Science S.A. All rights reserved.
Arun Viswanathan, Nancy Feldman, et al.
IEEE Communications Magazine
William Hinsberg, Joy Cheng, et al.
SPIE Advanced Lithography 2010
Israel Cidon, Leonidas Georgiadis, et al.
IEEE/ACM Transactions on Networking
Michael C. McCord, Violetta Cavalli-Sforza
ACL 2007