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Linear and Nonlinear Model Order Reduction for Numerical Simulation of Electric Circuits
  • Language: en
  • Pages: 106

Linear and Nonlinear Model Order Reduction for Numerical Simulation of Electric Circuits

Increasing complexity combined with decreasing geometrical sizes in electric circuit design lead to high dimensional dynamical models to be considered by EDA tools. Model order reduction (MOR) has become a popular strategy to decrease the problem's size while preserving its crucial properties. MOR shall achieve accurate statements on a circuit's behavior within an affordable amount of computational time. Just recently, MOR techniques are designed to consider the differential algebraic nature of the underlying models. We present an approach based on an e-embedding, i.e., a strategy applied in the construction of numerical integration schemes for differential algebraic equations (DAEs). The sy...

Coupled Multiscale Simulation and Optimization in Nanoelectronics
  • Language: en
  • Pages: 574

Coupled Multiscale Simulation and Optimization in Nanoelectronics

  • Type: Book
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  • Published: 2015-06-15
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  • Publisher: Springer

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 an...

Scientific Computing in Electrical Engineering SCEE 2008
  • Language: en
  • Pages: 610

Scientific Computing in Electrical Engineering SCEE 2008

This book is a collection of 65 selected papers presented at the 7th International Conference on Scientific Computing in Electrical Engineering (SCEE), held in Espoo, Finland, in 2008. The aim of the SCEE 2008 conference was to bring together scientists from academia and industry, e.g. mathematicians, electrical engineers, computer scientists, and physicists, with the goal of intensive discussions on industrially relevant mathematical problems, with an emphasis on modeling and numerical simulation of electronic circuits and devices, electromagnetic fields, and coupled problems.This extensive reference work is divided into five parts: 1. Computational electromagnetics, 2. Circuit simulation, 3. Coupled problems, 4. Mathematical and computational methods, and 5. Model-order reduction. Each part starts with an general introduction followed by the actual papers.

Progress in Industrial Mathematics at ECMI 2008
  • Language: en
  • Pages: 1060

Progress in Industrial Mathematics at ECMI 2008

The 15th European Conference on Mathematics for Industry was held in the agreeable surroundings of University College London, just 5 minutes walk from the British Museum in the heart of London, over the ?ve warm, sunny days from 30 June to 4 July 2008. Participants from all over the world met with the commonaimofreinforcingthe roleofmathematics asanoverarching resource for industry and business. The conference attracted over 300 participants from 30 countries, most of them participating with either a contributed talk, a minisymposium pres- tation or a plenary lecture. ‘Mathematics in Industry’ was interpreted in its widest sense as can be seen from the range of applications and technique...

Circuit Simulation
  • Language: en
  • Pages: 342

Circuit Simulation

A DEFINITIVE TEXT ON DEVELOPING CIRCUIT SIMULATORS Circuit Simulation gives a clear description of the numerical techniques and algorithms that are part of modern circuit simulators, with a focus on the most commonly used simulation modes: DC analysis and transient analysis. Tested in a graduate course on circuit simulation at the University of Toronto, this unique text provides the reader with sufficient detail and mathematical rigor to write his/her own basic circuit simulator. There is detailed coverage throughout of the mathematical and numerical techniques that are the basis for the various simulation topics, which facilitates a complete understanding of practical simulation techniques....

System-level Modeling of MEMS
  • Language: en
  • Pages: 562

System-level Modeling of MEMS

System-level modeling of MEMS - microelectromechanical systems - comprises integrated approaches to simulate, understand, and optimize the performance of sensors, actuators, and microsystems, taking into account the intricacies of the interplay between mechanical and electrical properties, circuitry, packaging, and design considerations. Thereby, system-level modeling overcomes the limitations inherent to methods that focus only on one of these aspects and do not incorporate their mutual dependencies. The book addresses the two most important approaches of system-level modeling, namely physics-based modeling with lumped elements and mathematical modeling employing model order reduction metho...

The Triumph of Mercy
  • Language: en
  • Pages: 258

The Triumph of Mercy

Discusses philosopher Mullā Ṣadrā's commentary on the opening chapter of the Qur'ān. Winner of the 21st International Book of the Year Prize in Iran This book investigates the convergence of philosophy, scriptural exegesis, and mysticism in the thought of the celebrated Islamic philosopher Mullā Ṣadrā (d. 1050/1640). Through a careful presentation of the theoretical and practical dimensions of Ṣadrā's Qur'ānic hermeneutics, Mohammed Rustom highlights the manner in which Ṣadrā offers a penetrating metaphysical commentary upon the Fātiḥa, the chapter of the Qur'ān that occupies central importance in Muslim daily life. Engaging such medieval intellectual giants as Fakhr al-Dīn al-Rāzī (d. 606/1210) and Ibn 'Arabī (d. 638/1240) on the one hand, and the wider disciplines of philosophy, theology, Sufism, and Qur'ānic exegesis on the other, Ṣadrā's commentary upon the Fātiḥa provides him with the opportunity to modify and recast many of his philosophical positions within a scripture-based framework. He thereby reveals himself to be a profound religious thinker who, among other things, argues for the salvation of all human beings in the afterlife.

Contemporary Architecture in Iran
  • Language: en
  • Pages: 156

Contemporary Architecture in Iran

Contemporary Architecture in Iran: from 1925 to the present aims to provide an enjoyable history of contemporary architecture in Iran from Iran's modernization during the mid-1920s to the present. It explores how hopes for a new and better society in Iran became linked to new architectural forms. The book discusses how factors such as the development of new environment, the rise of the architectural profession, and the transformation of the building industry in Iran, all led to the emergence of mature modernist architecture in this country. The book also examines the convergence of architecture with political and social developments in Iran. Architectural developments and the formation of th...

Essay on the Origins of the Technical Language of Islamic Mysticism
  • Language: en
  • Pages: 296

Essay on the Origins of the Technical Language of Islamic Mysticism

This English edition of Massignon's philological work on the origins of the technical language of Islamic mysticism incorporates the corrections from 1954 edition and updated references. It concentrates on the development of the words used by 10th-century mystic and poet al-Hallaj.

System- and Data-Driven Methods and Algorithms
  • Language: en
  • Pages: 493

System- and Data-Driven Methods and Algorithms

An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.