
Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices
Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, July 5-11, 1992
Birkhäuser (Publisher)
Published on 5. November 2012
Book
Paperback/Softback
XV, 316 pages
978-3-0348-9665-8 (ISBN)
Description
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1994
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
XV, 316 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 19 mm
Weight
581 gr
ISBN-13
978-3-0348-9665-8 (9783034896658)
DOI
10.1007/978-3-0348-8528-7
Schweitzer Classification
Other editions
Additional editions

R.E. Bank | R. Bulirsch | H. Gajewski
Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices
Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, July 5-11, 1992
Book
12/1994
1st Edition
Springer
€85.55
Article exhausted; check different version
Content
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.