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Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices

Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, July 5–11, 1992

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. R. E. Bank

    1. Dept. of Mathematics, C-012, University of California, San Diego, La Jolla, USA

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  2. H. Gajewski

    1. Institut für Angewandte Analysis und Stochastik, Berlin, Germany

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  3. R. Bulirsch

    1. Mathematisches Institut der TH München, München, Germany

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  4. K. Merten

    1. ZTI DES2 Siemens AG, München, Germany
      Siemens Corporate Research, Inc., Princeton, USA

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 117)

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Table of contents (22 papers)

  1. Front Matter

    Pages I-XIV
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  2. Circuit Simulation

    1. Front Matter

      Pages XV-XV
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    2. A new efficient numerical integration scheme for highly oscillatory electric circuits

      • Georg Denk
      Pages 1-15

    3. Numerische Lösung Von Hierarchisch Strukturierten Systemen Von Algebro—Differentialgleichungen

      • Friedrich Grund
      Pages 17-31

    4. Partitioning and Multirate Strategies in Latent Electric Circuits

      • Michael Günther, Peter Rentrop
      Pages 33-60

    5. Circuit Simulation — an Application for Parallel ODE Solvers?

      • Martin Kiehl
      Pages 61-71

    6. Numerical stability criteria for differential-algebraic systems

      • R. März
      Pages 73-81

    7. Analysis of Linear Time-invariant Networks in the Frequency Domain

      • Wolfgang Mathis
      Pages 83-90

    8. Limit Cycle Computation of Oscillating Electric Circuits

      • W. Schmidt
      Pages 91-101

    9. Timestep control for charge conserving integration in circuit simulation

      • E.-R. Sieber, U. Feldmann, R. Schultz, H. Wriedt
      Pages 103-113

    10. Ein Zusammenhang zwischen Waveformrelaxation und Iterationsverfahren für nichtlinear gestörte Gleichungen

      • Klaus Taubert
      Pages 115-125

    11. Multilevel-Newton-Verfahren in der Transientenanalyse Elektrischer Netzwerke

      • Wolfgang Wiedl
      Pages 127-132

    12. Transientensimulation Elektrischer Netzwerke Mit TRBDF

      • Hartmut Wriedt
      Pages 133-142

    13. The Transient Behavior of an Oscillator

      • Qinghua Zheng
      Pages 143-154
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Keywords

About this book

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.

Editors and Affiliations

  • Dept. of Mathematics, C-012, University of California, San Diego, La Jolla, USA

    R. E. Bank

  • Institut für Angewandte Analysis und Stochastik, Berlin, Germany

    H. Gajewski

  • Mathematisches Institut der TH München, München, Germany

    R. Bulirsch

  • ZTI DES2 Siemens AG, München, Germany

    K. Merten

  • Siemens Corporate Research, Inc., Princeton, USA

    K. Merten

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, July 5–11, 1992

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

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8528-7

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1994

  • Hardcover ISBN: 978-3-7643-5053-6Published: 01 June 1994

  • Softcover ISBN: 978-3-0348-9665-8Published: 05 November 2012

  • eBook ISBN: 978-3-0348-8528-7Published: 06 December 2012

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: XV, 316

  • Topics: Numerical Analysis, Math. Applications in Chemistry, Computational Intelligence

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