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Titlebook: Analysis of Charge Transport; A Mathematical Study Joseph W. Jerome Book 1996 Springer-Verlag Berlin Heidelberg 1996 Abweichungs-Diffusions

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期刊全称Analysis of Charge Transport
期刊简称A Mathematical Study
影响因子2023Joseph W. Jerome
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图书封面Titlebook: Analysis of Charge Transport; A Mathematical Study Joseph W. Jerome Book 1996 Springer-Verlag Berlin Heidelberg 1996 Abweichungs-Diffusions
影响因子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 i
Pindex Book 1996
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https://doi.org/10.1007/978-3-540-79130-0port, in a self-consistently determined electric field. In this brief introductory chapter, we shall expand upon the remarks of the preface, and discuss the goals of the book, and their development. Some historical detail will be furnished, insofar as it relates to the thematic aims.
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Grundlagen der Serviceorientierung,ansport variant of the hydrodynamic model is briefly discussed at the conclusion of the chapter. For the reader who wishes to pursue these topics in greater detail, a special issue of ., edited by the author, has appeared (vol. 3, no. 2, 1995).
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Introductionport, in a self-consistently determined electric field. In this brief introductory chapter, we shall expand upon the remarks of the preface, and discuss the goals of the book, and their development. Some historical detail will be furnished, insofar as it relates to the thematic aims.
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Moment Models: Microscopic to Macroscopicansport variant of the hydrodynamic model is briefly discussed at the conclusion of the chapter. For the reader who wishes to pursue these topics in greater detail, a special issue of ., edited by the author, has appeared (vol. 3, no. 2, 1995).
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978-3-642-79989-1Springer-Verlag Berlin Heidelberg 1996
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