Name
Abstract | ||
|---|---|---|
In this paper, we present an overview of the physical principles and numerical methods used to solve the coupled system of nonlinear partial differential equations that model the transient behavior of silicon VLSI device structures. We also describe how the same techniques are applicable to circuit simulation. A composite linear multistep formula is introduced as the time-integration scheme. Newton-iterative methods are exploited to solve the nonlinear equations that arise at each time step. We also present a simple data structure for nonsymmetric matrices with symmetric nonzero structures that facilitates iterative or direct methods with substantial efficiency gains over other storage schemes. Several computational examples, including a CMOS latchup problem, are presented and discussed. |
Year | DOI | Venue |
|---|---|---|
1985 | 10.1109/TCAD.1985.1270142 | IEEE Trans. on CAD of Integrated Circuits and Systems |
Keywords | Field | DocType |
data structure,nonlinear equations,very large scale integration,partial differential equation,numerical simulation,newton method,direct method,field effect transistor,nonlinear equation,boltzmann transport equation,data structures,numerical method,newton iteration,transient response,monte carlo method | Nonlinear system,Direct methods,Iterative method,Matrix (mathematics),Electronic engineering,Numerical analysis,Very-large-scale integration,Integrated circuit,Partial differential equation,Physics | Journal |
Volume | Issue | ISSN |
4 | 4 | 0278-0070 |
Citations | PageRank | References |
27 | 2.94 | 1 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Randolph E. Bank | 1 | 62 | 8.71 |
| W. M. Coughran, Jr. | 2 | 49 | 8.27 |
| Wolfgang Fichtner | 3 | 27 | 3.61 |
| Eric Grosse | 4 | 27 | 2.94 |
| Donald J. Rose | 5 | 717 | 254.98 |
| R. Kent Smith | 6 | 58 | 6.39 |