Coupled Multiscale Simulation and Optimization in Nanoelectronics

  • Michael Günther

Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 21)

Also part of the The European Consortium for Mathematics in Industry book sub series (TECMI, volume 21)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Michael Günther, Uwe Feldmann
      Pages 3-12
  3. Partial Differential Algebraic Equations

    1. Front Matter
      Pages 13-13
    2. Giuseppe Alì, Massimiliano Culpo, Roland Pulch, Vittorio Romano, Sebastian Schöps
      Pages 15-102
    3. Giuseppe Alì, Andreas Bartel, Michael Günther, Vittorio Romano, Sebastian Schöps
      Pages 103-156
  4. Model Order Reduction

    1. Front Matter
      Pages 157-157
    2. Athanasios C. Antoulas, Roxana Ionutiu, Nelson Martins, E. Jan W. ter Maten, Kasra Mohaghegh, Roland Pulch et al.
      Pages 159-265
    3. Gabriela Ciuprina, Jorge Fernández Villena, Daniel Ioan, Zoran Ilievski, Sebastian Kula, E. Jan W. ter Maten et al.
      Pages 267-359
    4. Davit Harutyunyan, Roxana Ionutiu, E. Jan W. ter Maten, Joost Rommes, Wil H. A. Schilders, Michael Striebel
      Pages 361-432
  5. Optimization

    1. Front Matter
      Pages 433-433
    2. Salvatore Rinaudo, Valeria Cinnera Martino, Franco Fiorante, Giovanni Stracquadanio, Giuseppe Nicosia
      Pages 435-451
  6. COMSON Methodology

    1. Front Matter
      Pages 453-453
    2. Georg Denk, Tamara Bechtold, Massimiliano Culpo, Carlo de Falco, Alexander Rusakov
      Pages 455-502
    3. Giuseppe Alì, Eleonora Bilotta, Lorella Gabriele, Pietro Pantano, José Sepúlveda, Rocco Servidio et al.
      Pages 503-559
  7. Back Matter
    Pages 561-565

About this book


Designing complex integrated circuits relies heavily on mathematical methods and calls for suitable simulation and optimization tools. The current design approach involves simulations and optimizations in different physical domains (device, circuit, thermal, electromagnetic) and in a range of electrical engineering disciplines (logic, timing, power, crosstalk, signal integrity, system functionality). COMSON was a Marie Curie Research Training Network created to meet these new scientific and training challenges by (a) developing new descriptive models that take these mutual dependencies into account, (b) combining these models with existing circuit descriptions in new simulation strategies, and (c) developing new optimization techniques that will accommodate new designs.

The book presents the main project results in the fields of PDAE modeling and simulation, model order reduction techniques and optimization, based on merging the know-how of three major European semiconductor companies with the combined expertise of university groups specialized in developing suitable mathematical models, numerical schemes and e-learning facilities. In addition, a common Demonstrator Platform for testing mathematical methods and approaches was created to assess whether they are capable of addressing the industry’s problems, and to educate young researchers by providing hands-on experience with state-of-the-art problems.



computational science mathematics in industry microelectronics model order reduction multi-scale simulation nanoelectronics

Editors and affiliations

  • Michael Günther
    • 1
  1. 1.Lehrstuhl für Angewandte Mathematik/Numerische AnalysisBergische Universität WuppertalWuppertalGermany

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