Abstract
A time-domain approach is presented to solve nonlinear circuits with lossless transmission lines. Mathematically, the circuits are described by a special kind of nonlinear differentialalgebraic equations (DAEs) with multiple constant delays. In order to directly compute these delay systems in time-domain, decoupling by waveform relaxation (WR) is applied to the systems. For the relaxation-based method we provide a new convergence proof. Numerical experiments are given to illustrate the novel approach.
| Original language | English |
|---|---|
| Pages (from-to) | 1018-1031 |
| Number of pages | 14 |
| Journal | SIAM Journal on Numerical Analysis |
| Volume | 42 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2004 |
Keywords
- Circuit simulation
- Diffenetial-algebraic equations with multiple delays
- Nonlinear circuits
- Transmission lines
- Waveform relaxation
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