Ebook: Semiconductors: Part II

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.

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Angezeigt in S-N 04/94, unter ISBN 3-540-94250-5

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Angezeigt in S-N 04/94, unter ISBN 3-540-94250-5
Content:
Front Matter....Pages i-xxii
On the Child-Langmuir Law for Semiconductors....Pages 1-17
A Critical Review of the Fundamental Semiconductor Equations....Pages 19-32
Physics for Device Simulations and its Verification by Measurements....Pages 33-73
An Industrial Perspective on Semiconductor Technology Modeling....Pages 75-88
Combined Device-Circuit Simulation for Advanced Semiconductor Devices....Pages 89-107
Methods of the Kinetic Theory of Gases Relevant to the Kinetic Models for Semiconductors....Pages 109-121
Shock Waves in the Hydrodynamic Model for Semiconductor Devices....Pages 123-134
Macroscopic and Microscopic Approach for the Simulation of Short Devices....Pages 135-157
Derivation of the High Field Semiconductor Equations....Pages 159-183
Energy Models for One-Carrier Transport in Semiconductor Devices....Pages 185-207
Some Applications of Asymptotic Methods in Semiconductor Device Modeling....Pages 209-221
Discretization of Three Dimensional Drift-Diffusion Equations by Numerically Stable Finite Elements....Pages 223-236
Mathematical Modeling of Quantum Wires in Periodic Heterojunction Structures....Pages 237-253
Numerical Simulation of MOS Transistors....Pages 255-280
Scattering Theory of High Frequency Quantum Transport....Pages 281-285
Accelerating Dynamic Iteration Methods with Application to Semiconductor Device Simulation....Pages 287-302
Boundary Value Problems in Semiconductors for the Stationary Vlasov-Maxwell-Boltzmann Equations....Pages 303-319
On the Treatment of the Collision Operator for Hydrodynamic Models....Pages 321-332
Adaptive Methods for the Solution of the Wigner-Poisson System....Pages 333-341
The Derivation of Analytic Device Models by Asymptotic Methods....Pages 343-363
Symmetric Forms of Energy — Momentum Transport Models....Pages 365-376
Analysis of the Gunn Effect....Pages 377-388
Some Examples of Singular Perturbation Problems in Device Modeling....Pages 389-406

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Angezeigt in S-N 04/94, unter ISBN 3-540-94250-5
Content:
Front Matter....Pages i-xxii
On the Child-Langmuir Law for Semiconductors....Pages 1-17
A Critical Review of the Fundamental Semiconductor Equations....Pages 19-32
Physics for Device Simulations and its Verification by Measurements....Pages 33-73
An Industrial Perspective on Semiconductor Technology Modeling....Pages 75-88
Combined Device-Circuit Simulation for Advanced Semiconductor Devices....Pages 89-107
Methods of the Kinetic Theory of Gases Relevant to the Kinetic Models for Semiconductors....Pages 109-121
Shock Waves in the Hydrodynamic Model for Semiconductor Devices....Pages 123-134
Macroscopic and Microscopic Approach for the Simulation of Short Devices....Pages 135-157
Derivation of the High Field Semiconductor Equations....Pages 159-183
Energy Models for One-Carrier Transport in Semiconductor Devices....Pages 185-207
Some Applications of Asymptotic Methods in Semiconductor Device Modeling....Pages 209-221
Discretization of Three Dimensional Drift-Diffusion Equations by Numerically Stable Finite Elements....Pages 223-236
Mathematical Modeling of Quantum Wires in Periodic Heterojunction Structures....Pages 237-253
Numerical Simulation of MOS Transistors....Pages 255-280
Scattering Theory of High Frequency Quantum Transport....Pages 281-285
Accelerating Dynamic Iteration Methods with Application to Semiconductor Device Simulation....Pages 287-302
Boundary Value Problems in Semiconductors for the Stationary Vlasov-Maxwell-Boltzmann Equations....Pages 303-319
On the Treatment of the Collision Operator for Hydrodynamic Models....Pages 321-332
Adaptive Methods for the Solution of the Wigner-Poisson System....Pages 333-341
The Derivation of Analytic Device Models by Asymptotic Methods....Pages 343-363
Symmetric Forms of Energy — Momentum Transport Models....Pages 365-376
Analysis of the Gunn Effect....Pages 377-388
Some Examples of Singular Perturbation Problems in Device Modeling....Pages 389-406
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