Mathematical Modelling And Simulation Of Electrical Circuits And Semiconductor Devices

Author : Randolph Bank,R. Bulirsch,H. Gajewski,K. Merten
Publisher : Birkhäuser
Page : 314 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034885287

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Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices by Randolph Bank,R. Bulirsch,H. Gajewski,K. Merten Pdf

Progress in today's high-technology industries is strongly associated with the development of new mathematical tools. A typical illustration of this partnership is the mathematical modelling and numerical simulation of electric circuits and semiconductor devices. At the second Oberwolfach conference devoted to this important and timely field, scientists from around the world, mainly applied mathematicians and electrical engineers from industry and universities, presented their new results. Their contributions, forming the body of this work, cover electric circuit simulation, device simulation and process simulation. Discussions on experiences with standard software packages and improvements of such packages are included. In the semiconductor area special lectures were given on new modelling approaches, numerical techniques and existence and uniqueness results. In this connection, mention is made, for example, of mixed finite element methods, an extension of the Baliga-Patankar technique for a three dimensional simulation, and the connection between semiconductor equations and the Boltzmann equations.

Author : R. Bank
Publisher : Birkhäuser
Page : 298 pages
File Size : 43,5 Mb
Release : 2013-11-22
Category : Science
ISBN : 9783034856980

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Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices by R. Bank Pdf

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.

Author : Randolph E. Bank,Roland Bulirsch,K. Merten
Publisher : Unknown
Page : 324 pages
File Size : 52,9 Mb
Release : 1990
Category : Computer simulation
ISBN : UOM:39015018999634

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Mathematical Modelling and Simulation of Electric Circuits and Semiconductor Devices by Randolph E. Bank,Roland Bulirsch,K. Merten Pdf

Author : R. Bank
Publisher : Birkhäuser
Page : 0 pages
File Size : 46,8 Mb
Release : 1990-02-01
Category : Science
ISBN : 3764324392

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Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices by R. Bank Pdf

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.

Author : Graham F. Carey
Publisher : Unknown
Page : 452 pages
File Size : 47,8 Mb
Release : 1996-06-19
Category : Computers
ISBN : UOM:39015037277954

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Circuit, Device and Process Simulation by Graham F. Carey Pdf

This book presents for the first time a unified treatment of the physical processes, mathematical models and numerical techniques for circuit, device and process simulation. At the macroscopic level linear and nonlinear circuit elements are introduced to yield a mathematical model of an integrated circuit. Numerical techniques used to solve this coupled system of ODEs are described. Microscopically, current flow within a transistor is modeled using the drift-diffusion and hydrodynamic PDE systems. Finite difference and finite element methods for spatial discretizations are treated, as are grid generation and refinement, upwinding, and multilevel schemes. At the fabrication level, physical processes such as diffusion, oxidation, and crystal growth are modeled using reaction-diffusion-convection equations. These models require multistep integration techniques and Krylov projection methods for successful implementation. Exercises, programming assignments, and an extensive bibliography are included to reinforce and extend the treatment.

Author : K. Antreich,R. Bulirsch,A. Gilg,P. Rentrop
Publisher : Birkhäuser
Page : 356 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034880657

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Modeling, Simulation, and Optimization of Integrated Circuits by K. Antreich,R. Bulirsch,A. Gilg,P. Rentrop Pdf

The third Conference on Mathematical Models and Numerical Simulation in Electronic Industry brought together researchers in mathematics, electrical engineering and scientists working in industry. The contributions to this volume try to bridge the gap between basic and applied mathematics, research in electrical engineering and the needs of industry.

Author : Angelo Marcello Anile,Walter Allegretto,Christian Ringhofer
Publisher : Springer
Page : 152 pages
File Size : 42,8 Mb
Release : 2003-12-15
Category : Science
ISBN : 9783540452225

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Mathematical Problems in Semiconductor Physics by Angelo Marcello Anile,Walter Allegretto,Christian Ringhofer Pdf

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.

Author : Ursula van Rienen,Michael Günther,Dirk Hecht
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642564703

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Scientific Computing in Electrical Engineering by Ursula van Rienen,Michael Günther,Dirk Hecht Pdf

rd This book presents a collection of selected contributions presented at the 3 International Workshop on Scientific Computing in Electrical Engineering, SCEE-2000, which took place in Warnemiinde, Germany, from August 20 to 23, 2000. Nearly hundred scientists and engineers from thirteen countries gathered in Warnemiinde to participate in the conference. Rostock Univer sity, the oldest university in Northern Europe founded in 1419, hosted the conference. This workshop followed two earlier workshops held 1997 at the Darmstadt University of Technology and 1998 at Weierstrass Institute for Applied Anal ysis and Stochastics in Berlin under the auspices ofthe German Mathematical Society. These workshops aimed at bringing together two scientific communi ties: applied mathematicians and electrical engineers who do research in the field of scientific computing in electrical engineering. This, of course, is a wide field, which is why it was decided to concentrate on selected major topics. The workshop in Darmstadt, which was organized by Michael Giinther from the Mathematics Department and Ursula van Rienen from the Department of Electrical Engineering and Information Technology,brought together more than hundred scientists interested in numerical methods for the simulation of circuits and electromagnetic fields. This was a great success. Voices coming from the participants suggested that it was time to bring these communities together in order to get to know each other, to discuss mutual interests and to start cooperative work. A collection of selected contributions appeared in 'Surveys on Mathematics for Industry', Vol.8, No. 3-4 and Vol.9, No.2, 1999.

Author : Christopher M. Snowden
Publisher : World Scientific
Page : 242 pages
File Size : 45,7 Mb
Release : 1998
Category : Science
ISBN : 981023693X

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Introduction to Semiconductor Device Modelling by Christopher M. Snowden Pdf

This book deals mainly with physical device models which are developed from the carrier transport physics and device geometry considerations. The text concentrates on silicon and gallium arsenide devices and includes models of silicon bipolar junction transistors, junction field effect transistors (JFETs), MESFETs, silicon and GaAs MESFETs, transferred electron devices, pn junction diodes and Schottky varactor diodes. The modelling techniques of more recent devices such as the heterojunction bipolar transistors (HBT) and the high electron mobility transistors are discussed. This book contains details of models for both equilibrium and non-equilibrium transport conditions. The modelling Technique of Small-scale devices is discussed and techniques applicable to submicron-dimensioned devices are included. A section on modern quantum transport analysis techniques is included. Details of essential numerical schemes are given and a variety of device models are used to illustrate the application of these techniques in various fields.

Author : Wolfgang Hackbusch
Publisher : Springer Science & Business Media
Page : 222 pages
File Size : 55,5 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9783322868596

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Numerical Treatment of Coupled Systems by Wolfgang Hackbusch Pdf

The coupling considered in this volume may be of physical or numerical nature. Examples of the first kind are the solid-fluid interactions, microelectronic systems, and the coupled modelling in groundwater flow. Examples of the latter kind are the domain or subspace decomposition, the local defect correction method, and the very important FEM-BEM coupling.

Author : Roy Leventhal,Lynne Green
Publisher : Springer Science & Business Media
Page : 769 pages
File Size : 43,8 Mb
Release : 2007-01-10
Category : Technology & Engineering
ISBN : 9780387241609

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Semiconductor Modeling: by Roy Leventhal,Lynne Green Pdf

Discusses process variation, model accuracy, design flow and many other practical engineering, reliability and manufacturing issues Gives a good overview for a person who is not an expert in modeling and simulation, enabling them to extract the necessary information to competently use modeling and simulation programs Written for engineering students and product design engineers

Author : Dragica Vasileska,Stephen M. Goodnick
Publisher : Morgan & Claypool Publishers
Page : 216 pages
File Size : 46,9 Mb
Release : 2006-12-01
Category : Technology & Engineering
ISBN : 9781598290578

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Computational Electronics by Dragica Vasileska,Stephen M. Goodnick Pdf

Computational Electronics is devoted to state of the art numerical techniques and physical models used in the simulation of semiconductor devices from a semi-classical perspective. Computational electronics, as a part of the general Technology Computer Aided Design (TCAD) field, has become increasingly important as the cost of semiconductor manufacturing has grown exponentially, with a concurrent need to reduce the time from design to manufacture. The motivation for this volume is the need within the modeling and simulation community for a comprehensive text which spans basic drift-diffusion modeling, through energy balance and hydrodynamic models, and finally particle based simulation. One unique feature of this book is a specific focus on numerical examples, particularly the use of commercially available software in the TCAD community. The concept for this book originated from a first year graduate course on computational electronics, taught now for several years, in the Electrical Engineering Department at Arizona State University. Numerous exercises and projects were derived from this course and have been included. The prerequisite knowledge is a fundamental understanding of basic semiconductor physics, the physical models for various device technologies such as pndiodes, bipolar junction transistors, and field effect transistors.

Author : Joseph W. Jerome
Publisher : Springer Science & Business Media
Page : 177 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642799877

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Analysis of Charge Transport by Joseph W. Jerome Pdf

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.

Author : W.M. Jr. Coughran,Julian Cole,Peter Lloyd,Jacob K. White
Publisher : Springer Science & Business Media
Page : 413 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461384106

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Semiconductors by W.M. Jr. Coughran,Julian Cole,Peter Lloyd,Jacob K. White Pdf

This IMA Volume in Mathematics and its Applications SEMICONDUCTORS, PART II is based on the proceedings of the IMA summer program "Semiconductors." Our goal was to foster interaction in this interdisciplinary field which involves electrical engineers, computer scientists, semiconductor physicists and mathematicians, from both university and industry. In particular, the program was meant to encourage the participation of numerical and mathematical analysts with backgrounds in ordinary and partial differential equations, to help get them involved in the mathematical as pects of semiconductor models and circuits. We are grateful to W.M. Coughran, Jr., Julian Cole, Peter Lloyd, and Jacob White for helping Farouk Odeh organize this activity and trust that the proceedings will provide a fitting memorial to Farouk. We also take this opportunity to thank those agencies whose financial support made the program possible: the Air Force Office of Scientific Research, the Army Research Office, the National Science Foundation, and the Office of Naval Research. A vner Friedman Willard Miller, J r. Preface to Part II Semiconductor and integrated-circuit modeling are an important part of the high technology "chip" industry, whose high-performance, low-cost microprocessors and high-density memory designs form the basis for supercomputers, engineering work stations, laptop computers, and other modern information appliances. There are a variety of differential equation problems that must be solved to facilitate such mod eling.

Author : Willi Jäger,Hans-Joachim Krebs
Publisher : Springer Science & Business Media
Page : 732 pages
File Size : 42,6 Mb
Release : 2011-06-28
Category : Computers
ISBN : 9783642557538

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Mathematics - Key Technology for the Future by Willi Jäger,Hans-Joachim Krebs Pdf

Efficient transfer between science and society is crucial for their future development. The rapid progress of information technology and computer systems offers a large potential and new perspectives for solving complex problems. Mathematical modelling and simulation have become important tools not only in scientific investigations but also in analysing, planning and controlling technological and economic processes. Mathematics, imbedded in an interdisciplinary concept, has become a key technology. The book covers the results of a variety of major projects in industrial mathematics following an initiative of the German Federal Ministry of Education and Research. All projects are collaborations of industrial companies and university-based researchers, and range from automotive industry to computer technology and medical visualisation. In general, the projects presented in this volume prove that new mathematical ideas and methods can be decisive for the solution of industrial and economic problems.