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Titlebook: Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices; Proceedings of a Con R. E. Bank,K. Merten,R. Bulirs

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书目名称Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices
副标题Proceedings of a Con
编辑R. E. Bank,K. Merten,R. Bulirsch
视频video
丛书名称International Series of Numerical Mathematics
图书封面Titlebook: Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices; Proceedings of a Con R. E. Bank,K. Merten,R. Bulirs
描述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 c
出版日期Conference proceedings 1990
关键词finite element method; Numerical integration; semiconductor
版次1
doihttps://doi.org/10.1007/978-3-0348-5698-0
isbn_softcover978-3-0348-5700-0
isbn_ebook978-3-0348-5698-0Series ISSN 0373-3149 Series E-ISSN 2296-6072
issn_series 0373-3149
copyrightSpringer Basel AG 1990
The information of publication is updating

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Analysis and Numerical Treatment of Differential-Algebraic SystemsDifferential algebraic equations satisfying weak smoothness conditions are analyzed by a special concept of canonical subspaces and projectors. On this background, it is discussed in detail how the BDFs applied to higher index equations behave.
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An improved numerical integration method in the circuit simulator SPICE2-SAn improvement of the numerical integration method is presented, which is used in circuit simulation to solve differential-algebraic equations. The advantages of the new implementation are discussed in several examples.
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Increasing the Vector Length for Matrix Multiplication with Reduced Memory AccessThe multiplication of two . × .-matrices is of complexity .. and is generally done by using three nested loops with loop length . at the innermost level. A new storage technique is introduced which allows looplength ... This can be essential for optimal performance on a supercomputer, even if memory access is the speed limiting factor.
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A Numerical Method for the Simulation of Quantum Tunneling Phenomena in Solid State SemiconductorsIn this paper we present a spectral collocation technique for the numerical simulation of quantum transport in solid state semiconductors. The underlying model is capable of describing tunneling effects.
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Algorithmic Aspects of the Hydrodynamic and Drift-Diffusion Device Modelse with numerical methods. The effect of subsonic and supersonic regimes is discussed for the hydrodynamic model, and the substantial improvement afforded by use of the fixed-point map, as a basis for linearization in the drift-diffusion model, is analyzed.
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