ON THE STABILITY OF TIME DISCRETISATIONS FOR THE SEMICONDUCTOR EQUATIONS

DOI10.1108/eb010327zbMath0732.65113OpenAlexW2126659997MaRDI QIDQ3358198

Paul Wild

Publication date: 1991

Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/eb010327

zbMATH Keywords

stabilityA-stabilitymethod of linesL-stabilitytime discretizationspace discretizationsemiconductor equationsrational matrix functionsimplicit one-step methods

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Technical applications of optics and electromagnetic theory (78A55) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

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• Stability of finite difference approximations to a diffusion-convection equation
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• Analysis of explicit difference methods for a diffusion‐convection equation
• Semiconductor device modelling from the numerical point of view
• Application of Oscillation Matrices to Diffusion‐Convection Equations
• RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER

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