The Stationary Semiconductor Device Equations
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The Stationary Semiconductor Device Equations
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Author : P.A. Markowich
language : en
Publisher: Springer Science & Business Media
Release Date : 1985-12-12
The Stationary Semiconductor Device Equations written by P.A. Markowich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-12-12 with Technology & Engineering categories.
In the last two decades semiconductor device simulation has become a research area, which thrives on a cooperation of physicists, electrical engineers and mathe maticians. In this book the static semiconductor device problem is presented and analysed from an applied mathematician's point of view. I shall derive the device equations - as obtained for the first time by Van Roosbroeck in 1950 - from physical principles, present a mathematical analysis, discuss their numerical solu tion by discretisation techniques and report on selected device simulation runs. To me personally the most fascinating aspect of mathematical device analysis is that an interplay of abstract mathematics, perturbation theory, numerical analysis and device physics is prompting the design and development of new technology. I very much hope to convey to the reader the importance of applied mathematics for technological progress. Each chapter of this book is designed to be as selfcontained as possible, however, the mathematical analysis of the device problem requires tools which cannot be presented completely here. Those readers who are not interested in the mathemati cal methodology and rigor can extract the desired information by simply ignoring details and proofs of theorems. Also, at the beginning of each chapter I refer to textbooks which introduce the interested reader to the required mathematical concepts.
The Stationary Semiconductor Device Equations
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Author : P.A. Markowich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Stationary Semiconductor Device Equations written by P.A. Markowich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.
In the last two decades semiconductor device simulation has become a research area, which thrives on a cooperation of physicists, electrical engineers and mathe maticians. In this book the static semiconductor device problem is presented and analysed from an applied mathematician's point of view. I shall derive the device equations - as obtained for the first time by Van Roosbroeck in 1950 - from physical principles, present a mathematical analysis, discuss their numerical solu tion by discretisation techniques and report on selected device simulation runs. To me personally the most fascinating aspect of mathematical device analysis is that an interplay of abstract mathematics, perturbation theory, numerical analysis and device physics is prompting the design and development of new technology. I very much hope to convey to the reader the importance of applied mathematics for technological progress. Each chapter of this book is designed to be as selfcontained as possible, however, the mathematical analysis of the device problem requires tools which cannot be presented completely here. Those readers who are not interested in the mathemati cal methodology and rigor can extract the desired information by simply ignoring details and proofs of theorems. Also, at the beginning of each chapter I refer to textbooks which introduce the interested reader to the required mathematical concepts.
The Stationary Semiconductor Device Equations
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Author : Peter A. Markowich
language : en
Publisher: Springer Verlag
Release Date : 1986
The Stationary Semiconductor Device Equations written by Peter A. Markowich and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Technology & Engineering categories.
The Stationary Semiconductor Device Equations
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Author : Peter A. Markowich
language : en
Publisher:
Release Date : 1986
The Stationary Semiconductor Device Equations written by Peter A. Markowich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Semiconductors categories.
Transport Equations For Semiconductors
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Author : Ansgar Jüngel
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-17
Transport Equations For Semiconductors written by Ansgar Jüngel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-17 with Science categories.
This volume presents a systematic and mathematically accurate description and derivation of transport equations in solid state physics, in particular semiconductor devices.
Computational Aspects Of Vlsi Design With An Emphasis On Semiconductor Device Simulation
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Author : Randolph E. Bank
language : en
Publisher: American Mathematical Soc.
Release Date : 1990-02-15
Computational Aspects Of Vlsi Design With An Emphasis On Semiconductor Device Simulation written by Randolph E. Bank and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-15 with Technology & Engineering categories.
Numerical simulation is rapidly becoming an important part of the VLSI design process, allowing the engineer to test, evaluate, and optimize various aspects of chip design without resorting to the costly and time-consuming process of fabricating prototypes. This procedure not only accelerates the design process, but also improves the end product, since it is economically feasible to numerically simulate many more options than might otherwise be considered. With the enhanced computing power of today's computers, more sophisticated models are now being developed. This volume contains the proceedings of the AMS-SIAM Summer Seminar on Computational Aspects of VLSI Design, held at the Institute for Mathematics and Its Applications at the University of Minnesota, in the spring of 1987. The seminar featured presentations by some of the top experts working in this area. Their contributions to this volume form an excellent overview of the mathematical and computational problems arising in this area.
Quasi Hydrodynamic Semiconductor Equations
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Author : Ansgar Jüngel
language : en
Publisher: Birkhäuser
Release Date : 2011-04-27
Quasi Hydrodynamic Semiconductor Equations written by Ansgar Jüngel and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-27 with Mathematics categories.
In this book a hierarchy of macroscopic models for semiconductor devices is presented. Three classes of models are studied in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each of the models is shown, including physical discussions. Furthermore, the corresponding mathematical problems are analyzed, using modern techniques for nonlinear partial differential equations. The equations are discretized employing mixed finite-element methods. Also, numerical simulations for modern semiconductor devices are performed, showing the particular features of the models. Modern analytical techniques have been used and further developed, such as positive solution methods, local energy methods for free-boundary problems and entropy methods. The book is aimed at applied mathematicians and physicists interested in mathematics, as well as graduate and postdoc students and researchers in these fields.
Springer Handbook Of Semiconductor Devices
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Author : Massimo Rudan
language : en
Publisher: Springer Nature
Release Date : 2022-11-10
Springer Handbook Of Semiconductor Devices written by Massimo Rudan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-10 with Technology & Engineering categories.
This Springer Handbook comprehensively covers the topic of semiconductor devices, embracing all aspects from theoretical background to fabrication, modeling, and applications. Nearly 100 leading scientists from industry and academia were selected to write the handbook's chapters, which were conceived for professionals and practitioners, material scientists, physicists and electrical engineers working at universities, industrial R&D, and manufacturers. Starting from the description of the relevant technological aspects and fabrication steps, the handbook proceeds with a section fully devoted to the main conventional semiconductor devices like, e.g., bipolar transistors and MOS capacitors and transistors, used in the production of the standard integrated circuits, and the corresponding physical models. In the subsequent chapters, the scaling issues of the semiconductor-device technology are addressed, followed by the description of novel concept-based semiconductor devices. The last section illustrates the numerical simulation methods ranging from the fabrication processes to the device performances. Each chapter is self-contained, and refers to related topics treated in other chapters when necessary, so that the reader interested in a specific subject can easily identify a personal reading path through the vast contents of the handbook.
Numerical Methods In Electromagnetics
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Author : W.H.A. SCHILDERS
language : en
Publisher: Elsevier
Release Date : 2005-04-04
Numerical Methods In Electromagnetics written by W.H.A. SCHILDERS and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-04 with Mathematics categories.
This special volume provides a broad overview and insight in the way numerical methods are being used to solve the wide variety of problems in the electronics industry. Furthermore its aim is to give researchers from other fields of application the opportunity to benefit from the results wich have been obtained in the electronics industry.* Complete survey of numerical methods used in the electronic industry* Each chapter is selfcontained* Presents state-of-the-art applications and methods* Internationally recognised authors
Progress In Industrial Mathematics At Ecmi 2002
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Author : Andris Buikis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Progress In Industrial Mathematics At Ecmi 2002 written by Andris Buikis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
This volume contains the proceedings of the twelfth conference of the Euro pean Consortium for Mathematics in Industry. ECMI was founded in 1986 in to foster research and education in Mathematics in Industry in Europe order and these biannual conferences are the show case for ECMI's research. It is a pleasure to see that six of the plenary speakers have submitted papers for this volume. Their contributions illustrate the breadth of applica tions and the variety of mathematical and computational techniques that are embraced by ECMI. ECMI is also committed to the education of students and it is encouraging that a number of the papers are given by students. The Wacker Prize, which is offered for a Masters Level thesis on an industrial problem, always attracts excellent entries and this year's winner, Nicole Marheineke, is no exception. This is the first time that an ECMI conference has been held in Eastern Europe and the ECMI Council is very grateful to Professor Andris Buikis and his colleagues in Latvia and Lithuania for the excellent job they have done. Thanks too go to the European Union which supported 30 delegates at this conference via TMR Contract No ERBFMRXCT 97-0117 'Differential Equations in Industry and Commerce'. The final meeting of this network was held during this conference which provided a platform for network members to describe their work to a wider audience.