Lecture Notes in Electrical Engineering

Model Reduction for Circuit Simulation

Editors: Benner, Peter, Hinze, Michael, ter Maten, E. Jan W. (Eds.)

  • Future directions in MOR for circuit simulations
  • Aspects of MOR related to miniaturization to¬† nano-scale
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About this book

Simulation based on mathematical models plays a major role in computer aided design of integrated circuits (ICs). Decreasing structure sizes, increasing packing densities and driving frequencies require the use of refined mathematical models, and to take into account secondary, parasitic effects. This leads to very high dimensional problems which nowadays require simulation times too large for the short time-to-market demands in industry. Modern Model Order Reduction (MOR) techniques present a way out of this dilemma in providing surrogate models which keep the main characteristics of the device while requiring a significantly lower simulation time than the full model.

With Model Reduction for Circuit Simulation we survey the state of the art in the challenging research field of MOR for ICs, and also address its future research directions. Special emphasis is taken on aspects stemming from miniturisations to the nano scale. Contributions cover complexity reduction using e.g., balanced truncation, Krylov-techniques or POD approaches. For semiconductor applications a focus is on generalising current techniques to differential-algebraic equations, on including design parameters, on preserving stability, and on including nonlinearity by means of piecewise linearisations along solution trajectories (TPWL) and interpolation techniques for nonlinear parts. Furthermore the influence of interconnects and power grids on the physical properties of the device is considered, and also top-down system design approaches in which detailed block descriptions are combined with behavioral models. Further topics consider MOR and the combination of approaches from optimisation and statistics, and the inclusion of PDE models with emphasis on MOR for the resulting partial differential algebraic systems. The methods which currently are being developed have also relevance in other application areas such as mechanical multibody systems, and systems arising in chemistry and to biology.

The current number of books in the area of MOR for ICs is very limited, so that this volume helps to fill a gap in providing the state of the art material, and to stimulate further research in this area of MOR. Model Reduction for Circuit Simulation also reflects and documents the vivid interaction between three active research projects in this area, namely the EU-Marie Curie Action ToK project O-MOORE-NICE (members in Belgium, The Netherlands and Germany), the EU-Marie Curie Action RTN-project COMSON (members in The Netherlands, Italy, Germany, and Romania), and the German federal project System reduction in nano-electronics (SyreNe).

Table of contents (18 chapters)

  • The Need for Novel Model Order Reduction Techniques in the Electronics Industry

    Schilders, Wil H. A.

    Pages 3-23

  • The SPRIM Algorithm for Structure-Preserving Order Reduction of General RCL Circuits

    Freund, Roland W.

    Pages 25-52

  • Balancing-Related Model Reduction of Circuit Equations Using Topological Structure

    Stykel, Tatjana

    Pages 53-83

  • Topics in Model Order Reduction with Applications to Circuit Simulation

    Lefteriu, Sanda (et al.)

    Pages 85-107

  • Forward and Reverse Modeling of Low Noise Amplifiers Based on Circuit Simulations

    Tommasi, Luciano De (et al.)

    Pages 111-124

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-94-007-0089-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $239.00
price for USA
  • ISBN 978-94-007-0088-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $239.00
price for USA
  • ISBN 978-94-007-3283-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Model Reduction for Circuit Simulation
Editors
  • Peter Benner
  • Michael Hinze
  • E. Jan W. ter Maten
Series Title
Lecture Notes in Electrical Engineering
Series Volume
74
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-0089-5
DOI
10.1007/978-94-007-0089-5
Hardcover ISBN
978-94-007-0088-8
Softcover ISBN
978-94-007-3283-4
Series ISSN
1876-1100
Edition Number
1
Number of Pages
XIII, 315
Topics