Steady-state methods of differential-algebraic equations in circuit simulation

被引：0
|
作者：
Jiang, YL [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Sci, Inst Informat & Syst Sci, Xian 710049, Peoples R China
来源：
JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS | 2005年 / 14卷 / 02期
基金：
中国国家自然科学基金;
关键词：
differential-algebraic equations; steady-state methods; quasilinearization; waveform relaxation; Krylov subspace methods; pseudo-inverse of matrix; circuit simulation;
D O I：
10.1142/S0218126605002313
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the paper, we study the steady-state methods of large dynamic systems. For a nonlinear system of differential-algebraic equations with a known period T, we decouple it, in function space, into linear subsystems by quasilinearization. The resulting linear dynamic systems can be solved by a waveform Krylov subspace method. For the autonomous case, that is, the period T is unknown, the well-known shooting process can be applied where Newton iterations are computed with pseudo-inverse.
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页码：383 / 393
页数：11
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