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Analysis of Charge Transport: A Mathematical Study of Semiconductor Devices - Joseph W. Jerome
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Joseph W. Jerome:
Analysis of Charge Transport: A Mathematical Study of Semiconductor Devices - Taschenbuch

ISBN: 3642799892

[SR: 1390106], Paperback, [EAN: 9783642799891], Springer, Springer, Book, [PU: Springer], Springer, 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., 13718, Microelectronics, 13707, Electronics, 227544, Electrical & Electronics, 173515, Engineering, 173507, Engineering & Transportation, 1000, Subjects, 283155, Books, 13955, Mathematical Analysis, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13961, Number Systems, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 16052201, Electricity, 226697, Electromagnetism, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 14567, Mathematical Physics, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 468218, Mathematics, 491542, Algebra & Trigonometry, 491544, Calculus, 491546, Geometry, 491548, Statistics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491732, Physics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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Analysis of Charge Transport: A Mathematical Study of Semiconductor Devices - Joseph W. Jerome
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Joseph W. Jerome:
Analysis of Charge Transport: A Mathematical Study of Semiconductor Devices - Taschenbuch

ISBN: 3642799892

[SR: 1390106], Paperback, [EAN: 9783642799891], Springer, Springer, Book, [PU: Springer], Springer, 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., 13718, Microelectronics, 13707, Electronics, 227544, Electrical & Electronics, 173515, Engineering, 173507, Engineering & Transportation, 1000, Subjects, 283155, Books, 13955, Mathematical Analysis, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13961, Number Systems, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 16052201, Electricity, 226697, Electromagnetism, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 14567, Mathematical Physics, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 468218, Mathematics, 491542, Algebra & Trigonometry, 491544, Calculus, 491546, Geometry, 491548, Statistics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491732, Physics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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Analysis of Charge Transport - Jerome, Joseph W.
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Analysis of Charge Transport - Taschenbuch

2011, ISBN: 9783642799891

[ED: Softcover], [PU: Springer, Berlin], 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. Softcover reprint of the original 1st ed. 1996. 2011. xi, 167 S. XI, 167 pp. 235 mm Versandfertig in 3-5 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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Analysis of Charge Transport : A Mathematical Study of Semiconductor Devices - Joseph W. Jerome
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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. engineering,science,science and math,science and scientists,science and technology,technology Science & Math, Springer

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ISBN: 9783642799891

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Mathematics; Analysis; Numerical Analysis; Electronics and Microelectronics, Instrumentation; Theoretical, Mathematical and Computational Physics Abweichungs-Diffusionssystem, Boltzmann transport equation, Boltzmann-Transportmodell, Drift-diffusion system, Energie, Gummel Iteration, Scharfetter-Gummel discretization, System decoupling, calculus, differential equation, energy transport model, finite element method, inf-sup Theorie, linearization, mixed boundary value problem, nichtlineare finite Elemente-Konvergenz-Theorie, nonlinear finite element convergence theory, numerical fixed point map, p/n Junktion, transistor Books, Springer Nature

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Analysis of Charge Transport

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.

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EAN (ISBN-13): 9783642799891
ISBN (ISBN-10): 3642799892
Taschenbuch
Erscheinungsjahr: 2011
Herausgeber: Springer Science+Business Media

Buch in der Datenbank seit 26.10.2012 09:06:53
Buch zuletzt gefunden am 11.04.2018 19:19:34
ISBN/EAN: 9783642799891

ISBN - alternative Schreibweisen:
3-642-79989-2, 978-3-642-79989-1


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