An Approximate Newton Method for the Solution of the Basic Semiconductor Device Equations

DOI10.1137/0726030zbMath0667.65098OpenAlexW2090509184MaRDI QIDQ3819954

Christian Ringhofer, Christian Schmeiser

Publication date: 1989

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0726030

zbMATH Keywords

Newton's methodsingular perturbationsiterative methodlocal convergenceGummel cycle iterationssteady state fundamental semiconductor device equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Singular perturbations in context of PDEs (35B25) Technical applications of optics and electromagnetic theory (78A55) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)

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