Journal Article10.1109/T-ED.1985.22234
Iterative methods in semiconductor device simulation
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TL;DR: This paper examines iterative methods for solving the semiconductor device equations using the PISCES-II device simulator as a vehicle and the dependencies of these methods on factors such as choice of variables, bias condition and initial guess are analyzed.
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Abstract: This paper examines iterative methods for solving the semiconductor device equations. The emphasis is on fully coupled methods, because of the failure of decoupled methods for on-state devices. Using the PISCES-II device simulator as a vehicle, incomplete factorization and operator decomposition iterative methods are presented for solving the Newton equations. The dependencies of these methods on factors such as choice of variables, bias condition and initial guess are analyzed. The results are compared with sparse Gaussian elimination.
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References
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J. H. Bramble,Richard S. Varga +1 more
Abstract: Matrix Properties and Concepts.- Nonnegative Matrices.- Basic Iterative Methods and Comparison Theorems.- Successive Overrelaxation Iterative Methods.- Semi-Iterative Methods.- Derivation and Solution of Elliptic Difference Equations.- Alternating-Direction Implicit Iterative Methods.- Matrix Methods for Parabolic Partial Differential Equations.- Estimation of Acceleration Parameters.
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Large-signal analysis of a silicon Read diode oscillator
D.L. Scharfetter,H.K. Gummel +1 more
TL;DR: In this article, the authors presented theoretical calculations of the large-signal admittance and efficiency achievable in a silicon p-n-v-ns Read IMPATT diode.
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An iterative solution method for linear systems of which the coefficient matrix is a symmetric -matrix
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A self-consistent iterative scheme for one-dimensional steady state transistor calculations
TL;DR: In this paper, a self-consistent iterative scheme for the numerical calculation of dc potentials and currents in a one-dimensional transistor model is presented, where boundary conditions are applied only at points representing contacts.
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The incomplete Cholesky—conjugate gradient method for the iterative solution of systems of linear equations
TL;DR: A new iterative method for the solution of systems of linear equations has been recently proposed by Meijerink and van der Vorst and has been applied to real laser fusion problems taken from typical runs of the laser fusion simulation code LASNEX.
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