Download or read book The Stationary Semiconductor Device Equations written by P.A. Markowich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Stationary Semiconductor Device Equations written by Peter A. Markowich and published by Springer Verlag. This book was released on 1986 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Stationary Semiconductor Device Equations written by Peter A. Markowich and published by . This book was released on 1986 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Methods for the Solution of the Stationary Semiconductor Device Equations in Two and Three Dimensions written by Song Wang and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Semiconductor Equations written by Peter A. Markowich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years the mathematical modeling of charge transport in semi conductors has become a thriving area in applied mathematics. The drift diffusion equations, which constitute the most popular model for the simula tion of the electrical behavior of semiconductor devices, are by now mathe matically quite well understood. As a consequence numerical methods have been developed, which allow for reasonably efficient computer simulations in many cases of practical relevance. Nowadays, research on the drift diffu sion model is of a highly specialized nature. It concentrates on the explora tion of possibly more efficient discretization methods (e.g. mixed finite elements, streamline diffusion), on the improvement of the performance of nonlinear iteration and linear equation solvers, and on three dimensional applications. The ongoing miniaturization of semiconductor devices has prompted a shift of the focus of the modeling research lately, since the drift diffusion model does not account well for charge transport in ultra integrated devices. Extensions of the drift diffusion model (so called hydrodynamic models) are under investigation for the modeling of hot electron effects in submicron MOS-transistors, and supercomputer technology has made it possible to employ kinetic models (semiclassical Boltzmann-Poisson and Wigner Poisson equations) for the simulation of certain highly integrated devices.
Download or read book Preconditioned Iterative Methods for the Numerical Solution of the Stationary Semiconductor Device Equations written by Sean P. Mulligan and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis of Mathematical Models of Semiconductor Devices written by Michael Stephen Mock and published by . This book was released on 1983 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quasi hydrodynamic Semiconductor Equations written by Ansgar Jüngel and published by Springer Science & Business Media. This book was released on 2001-02-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a hierarchy of macroscopic models for semiconductor devices, studying three classes of models in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each, including physical discussions, is shown. Numerical simulations for modern semiconductor devices are performed, showing the particular features of each. The author develops modern analytical techniques, such as positive solution methods, local energy methods for free-boundary problems and entropy methods.
Download or read book Uniform H 1 1 estimates for Solutions of the Stationary Semiconductor Device Equations in One Space Dimension written by Jan-Philipp Weiss and published by . This book was released on 2001 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Semiconductor Devices written by Kevin M. Kramer and published by Prentice Hall. This book was released on 1997 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM contains: "Win32 version of SGFramework and the simulations contains in the book."
Download or read book Advanced Semiconductor Device Physics and Modeling written by Juin J. Liou and published by Artech House on Demand. This book was released on 1994-01-01 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference provides detailed information on semiconductor physics and modelling.
Download or read book Applied and Industrial Mathematics in Italy II written by Vincenzo Cutello and published by World Scientific. This book was released on 2007 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: Industrial mathematics is evolving into an important branch of mathematics. Mathematicians, in particular in Italy, are becoming increasingly aware of this new trend and are engaged in bridging the gap between highly specialized mathematical research and the emerging demand for innovation from industry. The contributions in this volume provide both R&D workers in industry with a general view of existing skills, and academics with state-of-the-art applications of mathematics to real-world problems, which may also be incorporated in advanced courses.
Download or read book Applied And Industrial Mathematics In Italy Ii Selected Contributions From The 8th Simai Conference written by Vincenzo Cutello and published by World Scientific. This book was released on 2007-08-17 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: Industrial mathematics is evolving into an important branch of mathematics. Mathematicians, in particular in Italy, are becoming increasingly aware of this new trend and are engaged in bridging the gap between highly specialized mathematical research and the emerging demand for innovation from industry. The contributions in this volume provide both R&D workers in industry with a general view of existing skills, and academics with state-of-the-art applications of mathematics to real-world problems, which may also be incorporated in advanced courses.
Download or read book Mathematical Problems in Semiconductor Physics written by Angelo Marcello Anile and published by Springer Science & Business Media. This book was released on 2003-09-16 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the the mathematical aspects of the theory of carrier transport in semiconductor devices. The subjects covered include hydrodynamical models for semiconductors based on the maximum entropy principle of extended thermodynamics, mathematical theory of drift-diffusion equations with applications, and the methods of asymptotic analysis.
Download or read book Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices written by R. Bank and published by Birkhäuser. This book was released on 2013-11-22 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical simulation and modelling of electric circuits and semiconductor devices are of primal interest in today's high technology industries. At the Oberwolfach Conference more than forty scientists from around the world, in cluding applied mathematicians and electrical engineers from industry and universities, presented new results in this area of growing importance. The contributions to this conference are presented in these proceedings. They include contributions on special topics of current interest in circuit and device simulation, as well as contributions that present an overview of the field. In the semiconductor area special lectures were given on mixed finite element methods and iterative procedures for the solution of large linear systems. For three dimensional models new discretization procedures including software packages were presented. Con nections between semiconductor equations and the Boltzmann equation were shown as well as relations to the quantum transport equation. Other issues discussed in this area include the design of simulation programs for semiconductors, vectorcomputers, and interface problems in several dimensions. Topics discussed in the area of circuit simulation include the index classification of differential-algebraic systems, connections with ill-posed problems, and regularization techniques. Split discretization procedures were given for the efficient calculation of periodic solutions of circuits taking into acount the latency. Homotopy methods and new numerical techniques for differential-algebraic systems were presented, and im provements of special numerical methods for standard software packages were sug gested. The editors VII Table of Contents Circuit Simulation Merten K.
Download or read book Intrinsic Point Defects Impurities and Their Diffusion in Silicon written by Peter Pichler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the first comprehensive review of intrinsic point defects, impurities and their complexes in silicon. Besides compiling the structures, energetic properties, identified electrical levels and spectroscopic signatures, and the diffusion behaviour from investigations, it gives a comprehensive introduction into the relevant fundamental concepts.
Download or read book Quasi hydrodynamic Semiconductor Equations written by Ansgar Jüngel and published by Birkhäuser. This book was released on 2011-04-27 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a hierarchy of macroscopic models for semiconductor devices, studying three classes of models in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each, including physical discussions, is shown. Numerical simulations for modern semiconductor devices are performed, showing the particular features of each. The author develops modern analytical techniques, such as positive solution methods, local energy methods for free-boundary problems and entropy methods.
