Parallel-Distributed Block-LIM for Transient Simulation of Tightly Coupled Transmission Lines

Locally implicit block leapfrog scheme for PDN simulation

“…Since all of the terms in the right hand sides of the updating formulas (1) and (2) can be given as the ones at the (n+1)-th or the (n+1/2)-th time step, each variable is updated explicitly, in other words, by substituting only the values at the past time steps. For these years, a variety of studies related to LIM have been done and several kinds of skillful techniques, namely, multi-rate LIM [7], cloud and GPU-LIM [11] [12], block-LIM [13], ADE-LIM [14] and parallel-distributed block-LIM [15], have been proposed, which exploit the multi-rate behavior in the time domain, the cloud/GPU computing environment, the characteristics of strongly coupled multi-conductor transmission lines, alternating-direction explicit scheme and the parallelism of the block-LIM, respectively.…”

“…After that, some kinds of derivative (modified) methods of the LIM have been also developed [7]- [15]. Since the original LIM is an explicit method and can simulate without any matrix operation, it is much faster than the conventional SPICE-like method.…”

Thin-Film Transistor Simulations With the Voltage-In-Current Latency Insertion Method

“…predictor-corrector LIM [5], locally implicit LIM (LILIM) [6], alternating direction explicit-LIM (ADE-LIM) [7], and the voltage-in-current LIM (VinC LIM) [8]. These algorithms have been applied in a myriad of applications, including power supply networks [9]- [12], transmission lines [13], [14], electro-thermal analysis [15], I/O buffers [16], [17], phase-locked loops [18], and power electronic systems [19], [20].…”