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  • 1
    UID:
    almahu_9947363187002882
    Format: XVII, 297 p. 11 illus. , online resource.
    ISBN: 9783034856980
    Series Statement: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique ; 93
    Content: Numerical simulation and modelling of electric circuits and semiconductor devices are of primal interest in today's high technology industries. At the Oberwolfach Conference more than forty scientists from around the world, in­ cluding applied mathematicians and electrical engineers from industry and universities, presented new results in this area of growing importance. The contributions to this conference are presented in these proceedings. They include contributions on special topics of current interest in circuit and device simulation, as well as contributions that present an overview of the field. In the semiconductor area special lectures were given on mixed finite element methods and iterative procedures for the solution of large linear systems. For three dimensional models new discretization procedures including software packages were presented. Con­ nections between semiconductor equations and the Boltzmann equation were shown as well as relations to the quantum transport equation. Other issues discussed in this area include the design of simulation programs for semiconductors, vectorcomputers, and interface problems in several dimensions. Topics discussed in the area of circuit simulation include the index classification of differential-algebraic systems, connections with ill-posed problems, and regularization techniques. Split discretization procedures were given for the efficient calculation of periodic solutions of circuits taking into acount the latency. Homotopy methods and new numerical techniques for differential-algebraic systems were presented, and im­ provements of special numerical methods for standard software packages were sug­ gested. The editors VII Table of Contents Circuit Simulation Merten K.
    Note: Circuit Simulation -- Circuit Simulation in the Semiconductor Industry — State of the Art, Requirements and Future Development -- The Index of Differential-Algebraic Equations and its Significance for the Circuit Simulation -- Analysis and Numerical Treatment of Differential-Algebraic Systems -- Hopf Bifurcation in Differential Algebraic Equations and Applications to Circuit Simulation -- Row-Type Methods for the Integration of Electric Circuits -- Local Timestep Control for Simulating Electrical Circuits -- An improved numerical integration method in the circuit simulator SPICE2-S -- Increasing the Vector Length for Matrix Multiplication with Reduced Memory Access -- Device Simulation -- Semiconductor Equations and Analytical Models for Mosfets -- Recent Progress in Algorithms for Semiconductor Device Simulation -- A New Algorithmic Model for the Transient Semiconductor Problem -- Semiconductor Modelling Via the Boltzmann Equation -- A Numerical Method for the Simulation of Quantum Tunneling Phenomena in Solid State Semiconductors -- Modelling of Semiconductors Subject to Prescribed Currents -- Differential-Algebraic Problems and Semiconductor Device Simulation -- Algorithmic Aspects of the Hydrodynamic and Drift-Diffusion Device Models -- About the dependence of the convergence of Gummel’s algorithm and its linear variants on the device geometry -- Mixed FEM for ?u = ?u -- A Mixed Finite Element Method with Tetrahedral Elements for the Semiconductor Continuity Equations -- Local oxidation of silicon — a finite element approach -- Corner Singularities of Solutions of the Potential Equation in three Dimensions.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9783034857000
    Language: English
    Keywords: Konferenzschrift
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  • 2
    UID:
    almahu_9947363044602882
    Format: XV, 316 p. , online resource.
    ISBN: 9783034885287
    Series Statement: ISNM International Series of Numerical Mathematics ; 117
    Content: Progress in today's high-technology industries is strongly associated with the development of new mathematical tools. A typical illustration of this partnership is the mathematical modelling and numerical simulation of electric circuits and semiconductor devices. At the second Oberwolfach conference devoted to this important and timely field, scientists from around the world, mainly applied mathematicians and electrical engineers from industry and universities, presented their new results. Their contributions, forming the body of this work, cover electric circuit simulation, device simulation and process simulation. Discussions on experiences with standard software packages and improvements of such packages are included. In the semiconductor area special lectures were given on new modelling approaches, numerical techniques and existence and uniqueness results. In this connection, mention is made, for example, of mixed finite element methods, an extension of the Baliga-Patankar technique for a three dimensional simulation, and the connection between semiconductor equations and the Boltzmann equations.
    Note: Circuit Simulation -- A new efficient numerical integration scheme for highly oscillatory electric circuits -- Numerische Lösung von hierarchisch strukturierten Systemen von Algebro-Differentialgleichungen -- Partitioning and multirate strategies in latent electric circuits -- Circuit simulation — an application for parallel ODE solvers? -- Numerical stability criteria for differential-algebraic systems -- Analysis of linear time-invariant networks in the frequency domain -- Limit cycle computation of oscillating electric circuits -- Timestep control for charge conserving integration in circuit simulation -- Ein Zusammenhang zwischen Waveformrelaxation und Iterationsverfahren für nichtlinear gestörte Gleichungen -- Multilevel-Newton-Verfahren in der Transientenanalyse elektrischer Netzwerke -- Transientensimulation elektrischer Netwerke mit TRBDF -- The transient behavior of an oscillator -- Device Simulation -- Numerical simulation of the carrier transport in semiconductor devices on the base of an energy model -- On uniqueness of solutions to the drift-diffusion-model of semiconductor devices -- On restrictions for discretizations of the simplified linearized van Roosbroeck’s equations -- Mixed finite element discretization of continuity equations arising in semiconductor device simulation -- A piecewise linear Petrov-Galerkin analysis of the box-method -- Stability analysis of thermocapillary convection in semiconductor crystal growth -- The method of Baliga-Patankar and 3-D device simulation -- A mass conserving moving grid method for dopant simulation -- Numerical approaches to the kinetic semiconductor equations -- The non-stationary semiconductor model with bounded convective velocity and generation/recombination term.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9783034896658
    Language: English
    Keywords: Konferenzschrift
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  • 3
    Online Resource
    Online Resource
    Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
    UID:
    b3kat_BV039747154
    Format: 1 Online-Ressource (xi, 110 Seiten)
    ISBN: 0898714095 , 9780898714098
    Series Statement: Software, environments, tools 5
    Note: Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader , Includes bibliographical references and index , Preface -- 1. Introduction -- Problem specification -- Installation -- Significant changes -- 2. Data structures -- Overview -- The triangulation -- The skeleton -- Parameter and work arrays -- Coefficient functions -- 3. Mesh generation -- Overview -- Creating a triangulation from a skeleton -- A posteriori error estimates -- Adaptive mesh refinement and unrefinement -- Adaptive mesh smoothing -- Uniform refinement -- Creating a skeleton from a triangulation -- Examples -- 4. Equation solution -- Overview -- Discretization and numerical quadrature -- Continuation and the parameter IPROB -- Solving nonlinear systems -- Solving linear systems -- Subroutine PLTEVL -- Examples -- 5. Graphics -- Overview -- Subroutine TRIPLT -- Subroutine INPLT -- Subroutine GPHPLT -- Subroutine MTXPLT -- 6. Test driver -- Overview -- Terminal mode -- X-Windows node -- Batch mode -- Array dimensions and initialization -- Reading and writing files -- Journal files -- Subroutine USRCMD -- Subroutine GDATA -- Machine dependent routines -- 7. Test problems -- Overview -- Test problem CIRCLE -- Test problem SQUARE -- Test problem DOMAINS -- Test problem NACA -- Test problem JCN -- References -- Index , Intended mainly for use as a reference manual, this edition encompasses all the improvements of the newest version of the PLTMG software package. This updated version introduces several significant changes
    Additional Edition: Erscheint auch als Druck-Ausgabe, Paperback ISBN 0898714095
    Additional Edition: Erscheint auch als Druck-Ausgabe, Paperback ISBN 9780898714098
    Language: English
    Subjects: Computer Science
    RVK:
    Keywords: PLTMG
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  • 4
    UID:
    gbv_589846701
    Format: Online-Ressource , v.: digital
    Edition: Online-Ausg. 2009 Springer eBook Collection. Mathematics and Statistics Electronic reproduction; Available via World Wide Web
    ISBN: 9783764387730
    Series Statement: International Series of Numerical Mathematics 157
    Note: Includes bibliographical references and index , Electronic reproduction; Available via World Wide Web
    Additional Edition: ISBN 9783764387723
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Ungleichung ; Konferenzschrift
    URL: Volltext  (lizenzpflichtig)
    Author information: Bandle, Catherine 1943-
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