Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices

Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, October 30 – November 5, 1988

  • Conference proceedings
  • © 1990

Overview

Editors:
  1. R. E. Bank

    1. Dept. of Mathematics, University of California, San Diego, La Jolla, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. K. Merten

    1. ZTI DES 2, Siemens AG, München 83, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. R. Bulirsch

    1. Mathematisches Institut, TU München, München 2, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 93)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (21 papers)

  1. Front Matter

    Pages I-XV
    Download chapter PDF

  2. Circuit Simulation

    1. Front Matter

      Pages XVII-XVII
      Download chapter PDF

    2. Circuit Simulation in the Semiconductor Industry — State of the Art, Requirements and Future Development

      • K. Merten
      Pages 1-10

    3. The Index of Differential-Algebraic Equations and its Significance for the Circuit Simulation

      • Eberhard Griepentrog
      Pages 11-25

    4. Analysis and Numerical Treatment of Differential-Algebraic Systems

      • Roswitha März
      Pages 27-43

    5. Hopf Bifurcation in Differential Algebraic Equations and Applications to Circuit Simulation

      • Qinghua Zheng
      Pages 45-58

    6. Row-Type Methods for the Integration of Electric Circuits

      • Peter Rentrop
      Pages 59-71

    7. Local Timestep Control for Simulating Electrical Circuits

      • Reinhart Schultz
      Pages 73-83

    8. An improved numerical integration method in the circuit simulator SPICE2-S

      • Georg Denk
      Pages 85-99

    9. Increasing the Vector Length for Matrix Multiplication with Reduced Memory Access

      • M. Kiehl
      Pages 101-108

  3. Device Simulation

    1. Front Matter

      Pages 109-109
      Download chapter PDF

    2. Semiconductor Equations and Analytical Models for Mosfets

      • W. Hänsch, H. Jacobs
      Pages 111-123

    3. Recent Progress in Algorithms for Semiconductor Device Simulation

      • R. E. Bank, J. Bürgler, W. M. Coughran Jr., W. Fichtner, R. K. Smith
      Pages 125-140

    4. A New Algorithmic Model for the Transient Semiconductor Problem

      • Thomas I. Seidman
      Pages 141-151

    5. Semiconductor Modelling Via the Boltzmann Equation

      • P. Degond, F. Guyot-Delaurens, F. J. Mustieles, F. Nier
      Pages 153-172

    6. A Numerical Method for the Simulation of Quantum Tunneling Phenomena in Solid State Semiconductors

      • Christian Ringhofer
      Pages 173-183

    7. Modelling of Semiconductors Subject to Prescribed Currents

      • Thomas Kerkhoven
      Pages 185-199

    8. Differential-Algebraic Problems and Semiconductor Device Simulation

      • Uri Ascher
      Pages 201-215

    9. Algorithmic Aspects of the Hydrodynamic and Drift-Diffusion Device Models

      • Joseph W. Jerome
      Pages 217-236

    10. About the dependence of the convergence of Gummel’s algorithm and its linear variants on the device geometry

      • Rainer Sawatzki
      Pages 237-245
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • Dept. of Mathematics, University of California, San Diego, La Jolla, USA

    R. E. Bank

  • ZTI DES 2, Siemens AG, München 83, Germany

    K. Merten

  • Mathematisches Institut, TU München, München 2, Germany

    R. Bulirsch

Bibliographic Information

  • Book Title: Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices

  • Book Subtitle: Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, October 30 – November 5, 1988

  • Editors: R. E. Bank, K. Merten, R. Bulirsch

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-5698-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1990

  • Softcover ISBN: 978-3-0348-5700-0Published: 11 April 2014

  • eBook ISBN: 978-3-0348-5698-0Published: 22 November 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: XVII, 297

  • Number of Illustrations: 11 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

Publish with us

Policies and ethics

Back to top

Search

Navigation