Analysis of Charge Transport: A Mathematical Study of Semiconductor Devices
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1996
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XI, 167p) |
| ISBN: | 9783642799877 9783642799891 |
| DOI: | 10.1007/978-3-642-79987-7 |
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Datensatz im Suchindex
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| spelling | Jerome, Joseph W. Verfasser aut Analysis of Charge Transport A Mathematical Study of Semiconductor Devices by Joseph W. Jerome Berlin, Heidelberg Springer Berlin Heidelberg 1996 1 Online-Ressource (XI, 167p) txt rdacontent c rdamedia cr rdacarrier 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 Mathematics Global analysis (Mathematics) Numerical analysis Electronics Analysis Numerical Analysis Electronics and Microelectronics, Instrumentation Theoretical, Mathematical and Computational Physics Mathematik Halbleiterbauelement (DE-588)4113826-0 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Ladungstransport (DE-588)4166400-0 gnd rswk-swf Halbleiterbauelement (DE-588)4113826-0 s Ladungstransport (DE-588)4166400-0 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 https://doi.org/10.1007/978-3-642-79987-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jerome, Joseph W. Analysis of Charge Transport A Mathematical Study of Semiconductor Devices Mathematics Global analysis (Mathematics) Numerical analysis Electronics Analysis Numerical Analysis Electronics and Microelectronics, Instrumentation Theoretical, Mathematical and Computational Physics Mathematik Halbleiterbauelement (DE-588)4113826-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd Ladungstransport (DE-588)4166400-0 gnd |
| subject_GND | (DE-588)4113826-0 (DE-588)4114528-8 (DE-588)4166400-0 |
| title | Analysis of Charge Transport A Mathematical Study of Semiconductor Devices |
| title_auth | Analysis of Charge Transport A Mathematical Study of Semiconductor Devices |
| title_exact_search | Analysis of Charge Transport A Mathematical Study of Semiconductor Devices |
| title_full | Analysis of Charge Transport A Mathematical Study of Semiconductor Devices by Joseph W. Jerome |
| title_fullStr | Analysis of Charge Transport A Mathematical Study of Semiconductor Devices by Joseph W. Jerome |
| title_full_unstemmed | Analysis of Charge Transport A Mathematical Study of Semiconductor Devices by Joseph W. Jerome |
| title_short | Analysis of Charge Transport |
| title_sort | analysis of charge transport a mathematical study of semiconductor devices |
| title_sub | A Mathematical Study of Semiconductor Devices |
| topic | Mathematics Global analysis (Mathematics) Numerical analysis Electronics Analysis Numerical Analysis Electronics and Microelectronics, Instrumentation Theoretical, Mathematical and Computational Physics Mathematik Halbleiterbauelement (DE-588)4113826-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd Ladungstransport (DE-588)4166400-0 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Numerical analysis Electronics Analysis Numerical Analysis Electronics and Microelectronics, Instrumentation Theoretical, Mathematical and Computational Physics Mathematik Halbleiterbauelement Mathematisches Modell Ladungstransport |
| url | https://doi.org/10.1007/978-3-642-79987-7 |
| work_keys_str_mv | AT jeromejosephw analysisofchargetransportamathematicalstudyofsemiconductordevices |