Relaxation Techniques for the Simulation of VLSI Circuits

  • Jacob K. White
  • Alberto Sangiovanni-Vincentelli

Table of contents

  1. Front Matter
    Pages i-xi
  2. Jacob K. White, Alberto Sangiovanni-Vincentelli
    Pages 1-9
  3. Jacob K. White, Alberto Sangiovanni-Vincentelli
    Pages 11-47
  4. Jacob K. White, Alberto Sangiovanni-Vincentelli
    Pages 49-78
  5. Jacob K. White, Alberto Sangiovanni-Vincentelli
    Pages 79-100
  6. Jacob K. White, Alberto Sangiovanni-Vincentelli
    Pages 101-126
  7. Jacob K. White, Alberto Sangiovanni-Vincentelli
    Pages 127-158
  8. Jacob K. White, Alberto Sangiovanni-Vincentelli
    Pages 159-176
  9. Jacob K. White, Alberto Sangiovanni-Vincentelli
    Pages 177-189
  10. Back Matter
    Pages 191-202

About this book

Introduction

Circuit simulation has been a topic of great interest to the integrated circuit design community for many years. It is a difficult, and interesting, problem be­ cause circuit simulators are very heavily used, consuming thousands of computer hours every year, and therefore the algorithms must be very efficient. In addi­ tion, circuit simulators are heavily relied upon, with millions of dollars being gambled on their accuracy, and therefore the algorithms must be very robust. At the University of California, Berkeley, a great deal of research has been devoted to the study of both the numerical properties and the efficient imple­ mentation of circuit simulation algorithms. Research efforts have led to several programs, starting with CANCER in the 1960's and the enormously successful SPICE program in the early 1970's, to MOTIS-C, SPLICE, and RELAX in the late 1970's, and finally to SPLICE2 and RELAX2 in the 1980's. Our primary goal in writing this book was to present some of the results of our current research on the application of relaxation algorithms to circuit simu­ lation. As we began, we realized that a large body of mathematical and exper­ imental results had been amassed over the past twenty years by graduate students, professors, and industry researchers working on circuit simulation. It became a secondary goal to try to find an organization of this mass of material that was mathematically rigorous, had practical relevance, and still retained the natural intuitive simplicity of the circuit simulation subject.

Keywords

Mathematica Numerical integration VLSI algorithms calculus circuit circuit design computer design integrated circuit network networks organization simulation stability

Authors and affiliations

  • Jacob K. White
    • 1
  • Alberto Sangiovanni-Vincentelli
    • 2
  1. 1.Thomas J. Watson Research CenterIBM CorporationUSA
  2. 2.University of CaliforniaBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-2271-9
  • Copyright Information Springer-Verlag US 1987
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-9402-3
  • Online ISBN 978-1-4613-2271-9
  • Series Print ISSN 0893-3405
  • About this book
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