Analysis of Charge Transport: A Mathematical Study of Semiconductor Devices A Mathematical Study of Semiconductor Devices

Jerome, Joseph W.:

ISBN 10: 3540603182 / ISBN 13: 9783540603184

Published by Springer, 1995

About this Item

178 S. !! Namenseintrag vorne im Buch vorhanden!! Gutes Exemplar, geringe Gebrauchsspuren, Cover/SU berieben/bestoßen, innen alles in Ordnung. Z250710ah178 ISBN: 9783540603184 Sprache: Englisch Gewicht in Gramm: 395.

Seller Inventory # 732961

Bibliographic Details

• Title: Analysis of Charge Transport: A Mathematical Study of Semiconductor Devices A Mathematical Study of Semiconductor Devices
• Publisher: Springer
• Publication Date: 1995
• Language: English
• ISBN 10: 3540603182
• ISBN 13: 9783540603184
• Binding: Hardcover
• Edition: 1.
• Condition: Gut
• Weight: 395 grams
• Seller catalogs:
  • Englischsprachige Bücher

About this title

Synopsis

This book addresses the mathematical aspects of semiconductor modeling, with particular attention focused on the drift-diffusion model. The aim is to provide a rigorous basis for those models which are actually employed in practice, and to analyze the approximation properties of discretization procedures. The book is intended for applied and computational mathematicians, and for mathematically literate engineers, who wish to gain an understanding of the mathematical framework that is pertinent to device modeling. The latter audience will welcome the introduction of hydrodynamic and energy transport models in Chap. 3. Solutions of the nonlinear steady-state systems are analyzed as the fixed points of a mapping T, or better, a family of such mappings, distinguished by system decoupling. Significant attention is paid to questions related to the mathematical properties of this mapping, termed the Gummel map. Compu­ tational aspects of this fixed point mapping for analysis of discretizations are discussed as well. We present a novel nonlinear approximation theory, termed the Kras­ nosel'skii operator calculus, which we develop in Chap. 6 as an appropriate extension of the Babuska-Aziz inf-sup linear saddle point theory. It is shown in Chap. 5 how this applies to the semiconductor model. We also present in Chap. 4 a thorough study of various realizations of the Gummel map, which includes non-uniformly elliptic systems and variational inequalities. In Chap.