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000727752 08204 $$a621.3815$$223
000727752 24500 $$aCoupled multiscale simulation and optimization in nanoelectronics$$h[electronic resource] /$$cMichael Günther, editor.
000727752 264_1 $$aHeidelberg :$$bSpringer,$$c2015.
000727752 300__ $$a1 online resource.
000727752 336__ $$atext$$btxt$$2rdacontent
000727752 337__ $$acomputer$$bc$$2rdamedia
000727752 338__ $$aonline resource$$bcr$$2rdacarrier
000727752 4901_ $$aMathematics in industry,$$x2198-3283 ;$$v21. The European Consortium for Mathematics in Industry
000727752 504__ $$aIncludes bibliographical references and index.
000727752 5050_ $$aPreface; Contents; List of Contributors; Part I Introduction; 1 The COMSON Project; 1.1 Trends in Microelectronics; 1.2 Scope of the COMSON Project; 1.3 Methodology; 1.3.1 The Demonstrator Platform; 1.3.1.1 Objectives and Benefits; 1.3.1.2 State of the Art; 1.3.1.3 Basic Concepts; 1.3.2 E-Learning; 1.4 Modelling, Simulation and Optimisation; 1.4.1 Partial Differential Algebraic Equations; 1.4.2 Dynamic Iteration; 1.4.3 Model Order Reduction; 1.4.4 Optimisation; References; Part II Partial Differential Algebraic Equations; 2 PDAE Modeling and Discretization
000727752 5058_ $$a2.1 Introduction on Modeling and PDAEs2.1.1 Mathematical Modeling in Nanoelectronics; 2.1.2 Classification of PDAE Models; 2.1.2.1 Refined Modeling; 2.1.2.2 Multiphysical Extensions; 2.2 Modeling, Analysis and Discretization of Coupled Problems; 2.2.1 Refined Modeling of Networks with Devices; 2.2.1.1 Modeling of Electric Networks; 2.2.1.2 Distributed Models for Devices; 2.2.1.3 Displacement Current and Device Capacitance Matrix; 2.2.1.4 The Drift-Diffusion Model; 2.2.1.5 Space Discretization of the Distributed Model: The Gummel Map
000727752 5058_ $$a2.2.1.6 Space Discretization of the Distributed Model: The Box Integration Method2.2.1.7 Space Discretization of the Distributed Model: The Coupling Conditions; 2.2.2 Electro-Thermal Effects at the System Level; 2.2.2.1 Definition of the PDE-Based Thermal Element Model; 2.2.2.2 Analysis of the Thermal Element Model; 2.2.2.3 Evaluation of the Thermal Element Model; 2.2.2.4 Analysis of the Coupled System; 2.2.3 Multiphysics Modeling via Maxwell's Equations ; 2.2.3.1 Maxwell's Equations; 2.2.3.2 Conductor Models; 2.2.3.3 Discretization; 2.2.3.4 Discrete Vector Potential Formulation
000727752 5058_ $$a2.2.3.5 Gauging of the Curl-Curl Equation2.2.3.6 Structure of the Coupled System; 2.2.4 Thermal and Quantum Effects in Semiconductors; 2.2.4.1 The Electron-Phonon System ; 2.2.4.2 The Maximum Entropy Principle ; 2.2.4.3 Closure Relations: Phonon Subsystem; 2.2.4.4 Closure Relations for Electrons; 2.2.4.5 Limiting Energy Transport and Lattice Heating Model; 2.2.4.6 Quantum Corrections; 2.2.4.7 Quantum Corrections in the High Field Approximation; 2.2.4.8 Quantum Corrected Energy-Transport and Crystal Heating Model; References
000727752 5058_ $$a3 Simulation of Coupled PDAEs: Dynamic Iteration and Multirate Simulation3.1 Aim and Outline; 3.2 Theory of Dynamic Iteration Schemes for Coupled DAEs; 3.2.1 Description of Coupled Systems; 3.2.2 Iteration Schemes for Coupled DAE Systems; 3.2.3 Convergence and Stability; 3.2.3.1 Error Recursion; 3.2.3.2 Contraction and Local Error; 3.2.3.3 Stability and Convergence for Windowing Technique; 3.3 Applications in Electrical Engineering; 3.3.1 Refined Network Models; 3.3.2 Electro-Thermal Coupling
000727752 506__ $$aAccess limited to authorized users.
000727752 520__ $$aDesigning complex integrated circuits relies heavily on mathematical methods and calls for suitable simulation and optimization tools. The current design approach involves simulations and optimizations in different physical domains (device, circuit, thermal, electromagnetic) and in a range of electrical engineering disciplines (logic, timing, power, crosstalk, signal integrity, system functionality). COMSON was a Marie Curie Research Training Network created to meet these new scientific and training challenges by (a) developing new descriptive models that take these mutual dependencies into account, (b) combining these models with existing circuit descriptions in new simulation strategies, and (c) developing new optimization techniques that will accommodate new designs. The book presents the main project results in the fields of PDAE modeling and simulation, model order reduction techniques and optimization, based on merging the know-how of three major European semiconductor companies with the combined expertise of university groups specialized in developing suitable mathematical models, numerical schemes and e-learning facilities. In addition, a common Demonstrator Platform for testing mathematical methods and approaches was created to assess whether they are capable of addressing the industry's problems, and to educate young researchers by providing hands-on experience with state-of-the-art problems. .
000727752 588__ $$aOnline resource; title from PDF title page (viewed June 22, 2015).
000727752 650_0 $$aNanoelectronics.
000727752 650_0 $$aMultiscale modeling.
000727752 7001_ $$aGünther, Michael$$c(Mathematician),$$eeditor.
000727752 77608 $$iPrint version:$$aGünther, Michael$$tCoupled Multiscale Simulation and Optimization in Nanoelectronics$$dBerlin, Heidelberg : Springer Berlin Heidelberg,c2015$$z9783662466711
000727752 830_0 $$aMathematics in industry ;$$v21.
000727752 830_0 $$aEuropean Consortium for Mathematics in Industry (Series)
000727752 852__ $$bebk
000727752 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-662-46672-8$$zOnline Access$$91397441.1
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