Numerical simulation is rapidly becoming an important part of the VLSI design process, allowing the engineer to test, evaluate, and optimize various aspects of chip design without resorting to the costly and time-consuming process of fabricating prototypes. This procedure not only accelerates the design process, but also improves the end product, since it is economically feasible to numerically simulate many more options than might otherwise be considered. With the enhanced computing power of today's computers, more sophisticated models are now being developed.This volume contains the proceedings of the AMS-SIAM Summer Seminar on Computational Aspects of VLSI Design, held at the Institute for Mathematics and Its Applications at the University of Minnesota, in the spring of 1987. The seminar featured presentations by some of the top experts working in this area. Their contributions to this volume form an excellent overview of the mathematical and computational problems arising in this area.
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978-0-8218-1132-0 (9780821811320)
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Schweitzer Klassifikation
Spatial-temporal structure of solutions of the semiconductor device problem by P. A. Markowich The shape of solutions of the fundamental semiconductor device equations by C. Ringhofer Singular perturbation analysis of (strongly) reverse biased semiconductor devices by F. Brezzi Semiconductor modelling via the Boltzmann equation by P. Degond, F. Poupaud, B. Niclot, and F. Guyot The transient semiconductor problem with generation terms by T. I. Seidman Modelling gallium arsenide transistors by J. L. Blue and C. Wilson Nonlinear mathematical phenomena associated with semiconductor devices by M. S. Berger Modular algorithms for transient semiconductor device simulation, Part I: Analysis of the outer iteration by W. M. Coughran, Jr. and J. W. Jerome Efficiency and acceleration of steady-state decoupling algorithms by T. Kerkhoven Continuation methods for parameter-dependent boundary value problems by H. D. Mittelmann Recent developments in the numerical solution of differential/algebraic systems by L. R. Petzold.
