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Semiconductors

Part I

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. William Marvin Coughran

    1. AT&T Bell Laboratories, Murray Hill, USA

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  2. Julian Cole

    1. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

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  3. Peter Llyod

    1. Technology CAD, AT&T Bell Laboratories, Allentown, USA

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  4. Jacob K. White

    1. Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, USA

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 58)

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Table of contents (11 papers)

  1. Front Matter

    Pages I-XXVI
    Download chapter PDF

  2. Process Modeling

    1. IC Technology CAD Overview

      • P. Lloyd
      Pages 1-15

    2. The Boltzmann-Poisson System in Weakly Collisional Sheaths

      • S. Hamaguchi, R. T. Farouki, M. Dalvie
      Pages 17-31

    3. An Interface Method for Semiconductor Process Simulation

      • Michael J. Johnson, Carl L. Gardner
      Pages 33-47

    4. Asymptotic Analysis of a Model for the Diffusion of Dopant-Defect Pairs

      • J. R. King
      Pages 49-66

    5. A Reaction-Diffusion System Modeling Phosphorus Diffusion

      • Walter B. Richardson Jr.
      Pages 67-77

    6. Atomic Diffusion in GaAs with Controlled Deviation from Stoichiometry

      • Ken Suto, Jun-Ichi Nishizawa
      Pages 79-105

  3. Circuit Simulation

    1. Theory of a Stochastic Algorithm for Capacitance Extraction in Integrated Circuits

      • Yannick L. Le Coz, Ralph B. Iverson
      Pages 107-114

    2. Moment-Matching Approximations for Linear(Ized) Circuit Analysis

      • Nanda Gopal, Ashok Balivada, Lawrence T. Pillaget
      Pages 115-130

    3. Spectral Algorithm for Simulation of Integrated Circuits

      • O. A. Palusinski, F. Szidarovszky, C. Marcjan, M. Abdennadher
      Pages 131-140

    4. Convergence of Waveform Relaxation for RC Circuits

      • Albert E. Ruehli, Charles A. Zukowski
      Pages 141-146

    5. Switched Networks

      • J. Vlach, D. Bedrosian
      Pages 147-154
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Keywords

About this book

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 workstations, laptop computers, and other modern information appliances. There are a variety of differential equation problems that must be solved to facilitate such modeling. This two-volume set covers three topic areas: process modeling and circuit simulation in Volume I and device modeling in Volume II. Process modeling provides the geometry and impurity doping characteristics that are prerequisites for device modeling; device modeling, in turn, provides static current and transient charge characteristics needed to specify the so-called compact models employed by circuit simulators. The goal of these books is to bring together scientists and mathematicians to discuss open problems, algorithms to solve such, and to form bridges between the diverse disciplines involved.

Editors and Affiliations

  • AT&T Bell Laboratories, Murray Hill, USA

    William Marvin Coughran

  • Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

    Julian Cole

  • Technology CAD, AT&T Bell Laboratories, Allentown, USA

    Peter Llyod

  • Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, USA

    Jacob K. White

Bibliographic Information

  • Book Title: Semiconductors

  • Book Subtitle: Part I

  • Editors: William Marvin Coughran, Julian Cole, Peter Llyod, Jacob K. White

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4613-8407-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1994

  • Softcover ISBN: 978-1-4613-8409-0Published: 08 November 2011

  • eBook ISBN: 978-1-4613-8407-6Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: XXVI, 154

  • Topics: Mathematics, general

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