An Efficient Transient Nonlinear Circuit Simulator Using Exponential Integration and Block-Jacobi Preconditioning
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DOI码：10.1109/TCAD.2026.3741478
发表刊物：IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
关键字：Timing; Design automation; Matrices; Indexes; Indexing; Circuits; Jacobian matrices; Nonlinear circuits; Circuit simulation; Vectors
摘要：Transient simulation of nonlinear circuits remains an important task in modern EDA tools. At present, SPICE-like simulators face challenges in parallelization, nonlinear convergence and linear efficiency, especially when applied to the large-scale circuits. To address these limitations, we adopt a two-stage regularization approach, which extends the applicability of exponential integrators to a broader class of differential algebraic equations. The proposed method employs matrix exponential vector products to integrate the regularized system. Furthermore, in order to accelerate GMRES-based solvers within Newton-Raphson iterations, a structured block-Jacobi preconditioner is designed. For locally coupled circuits, an additive Schwarz overlapping strategy is adopted to enhance the solution performance. Numerical experiments on a variety of nonlinear circuits show that the proposed method achieves a total computational speedup of 1.94× to 3.29× over the Backward Euler method with inexact Newton–Krylov backtracking, and 1.09× to 1.80× over the Exponential Integrator Newton–Krylov method. These results demonstrate the strong potential of the proposed method for nonlinear circuit simulation.
合写作者：Yuanmiao Lin
第一作者：Zijian Zhang
论文类型：期刊论文
通讯作者：Xin Zheng,Xuesong Chen,Shuting Cai
是否译文：否
发表时间：2026-10-07
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