Mathematics in Industry

System Reduction for Nanoscale IC Design

Editors: Benner, Peter (Ed.)

  • Describes computational techniques for model reduction in nanoelectronics
  • Offers special model reduction methods for device simulation and for terminal reduction
  • Illustrates the performance of proposed methods, using real-world data
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eBook 71,39 €
price for Spain (gross)
  • ISBN 978-3-319-07236-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Hardcover 88,39 €
price for Spain (gross)
  • ISBN 978-3-319-07235-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book describes the computational challenges posed by the progression toward nanoscale electronic devices and increasingly short design cycles in the microelectronics industry, and proposes methods of model reduction which facilitate circuit and device simulation for specific tasks in the design cycle.

The goal is to develop and compare methods for system reduction in the design of high dimensional nanoelectronic ICs, and to test these methods in the practice of semiconductor development. Six chapters describe the challenges for numerical simulation of nanoelectronic circuits and suggest model reduction methods for constituting equations. These include linear and nonlinear differential equations tailored to circuit equations and drift diffusion equations for semiconductor devices. The performance of these methods is illustrated with numerical experiments using real-world data. Readers will benefit from an up-to-date overview of the latest model reduction methods in computational nanoelectronics.

Table of contents (5 chapters)

  • Model Order Reduction of Integrated Circuits in Electrical Networks

    Hinze, Michael (et al.)

    Pages 1-37

    Preview Buy Chapter 30,19 €
  • Element-Based Model Reduction in Circuit Simulation

    Steinbrecher, Andreas (et al.)

    Pages 39-85

    Preview Buy Chapter 30,19 €
  • Reduced Representation of Power Grid Models

    Benner, Peter (et al.)

    Pages 87-134

    Preview Buy Chapter 30,19 €
  • Coupling of Numeric/Symbolic Reduction Methods for Generating Parametrized Models of Nanoelectronic Systems

    Schmidt, Oliver (et al.)

    Pages 135-156

    Preview Buy Chapter 30,19 €
  • Low-Rank Cholesky Factor Krylov Subspace Methods for Generalized Projected Lyapunov Equations

    Bollhöfer, Matthias (et al.)

    Pages 157-193

    Preview Buy Chapter 30,19 €

Buy this book

eBook 71,39 €
price for Spain (gross)
  • ISBN 978-3-319-07236-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 88,39 €
price for Spain (gross)
  • ISBN 978-3-319-07235-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
System Reduction for Nanoscale IC Design
Editors
  • Peter Benner
Series Title
Mathematics in Industry
Series Volume
20
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-07236-4
DOI
10.1007/978-3-319-07236-4
Hardcover ISBN
978-3-319-07235-7
Series ISSN
1612-3956
Edition Number
1
Number of Pages
XI, 197
Number of Illustrations and Tables
34 b/w illustrations, 39 illustrations in colour
Topics