Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices : Proceedings of a Conference Held at the Mathematisches Forschungsinstitut, Oberwolfach, July 5–11, 1992

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. Edited By R. E. Bank, H. Gajewski, R. Bulirsch, K. Merten. Front Matter....Pages I-XIV Front Matter....Pages XV-XV A new efficient numerical integration scheme for highly oscillatory electric circuits....Pages 1-15 Numerische Lösung Von Hierarchisch Strukturierten Systemen Von Algebro—Differentialgleichungen....Pages 17-31 Partitioning and Multirate Strategies in Latent Electric Circuits....Pages 33-60 Circuit Simulation — an Application for Parallel ODE Solvers?....Pages 61-71 Numerical stability criteria for differential-algebraic systems....Pages 73-81 Analysis of Linear Time-invariant Networks in the Frequency Domain....Pages 83-90 Limit Cycle Computation of Oscillating Electric Circuits....Pages 91-101 Timestep control for charge conserving integration in circuit simulation....Pages 103-113 Ein Zusammenhang zwischen Waveformrelaxation und Iterationsverfahren für nichtlinear gestörte Gleichungen....Pages 115-125 Multilevel-Newton-Verfahren in der Transientenanalyse Elektrischer Netzwerke....Pages 127-132 Transientensimulation Elektrischer Netzwerke Mit TRBDF....Pages 133-142 The Transient Behavior of an Oscillator....Pages 143-154 Front Matter....Pages 155-155 Numerical Simulation of the Carrier Transport in Semiconductor Devices on the Base of an Energy Model....Pages 157-169 On uniqueness of solutions to the drift-diffusion-model of semiconductor devices....Pages 171-183 On Restrictions for Discretizations of the Simplified Linearized Van Roosbroeck’s Equations....Pages 185-195 Mixed Finite Element Discretization of Continuity Equations Arising in Semiconductor Device Simulation....Pages 197-217 A Piecewise Linear Petrov-Galerkin Analysis of the Box-Method....Pages 219-235 Stability Analysis of Thermocapillary Convection in Semiconductor Crystal Growth....Pages 237-249 The Method of Baliga-Patankar and 3-D Device Simulation....Pages 251-265 A mass conserving moving grid method for dopant simulation....Pages 267-279 Front Matter....Pages 155-155 Numerical approaches to the kinetic semiconductor equations....Pages 281-292 The Non-Stationary Semiconductor Model with Bounded Convective Velocity and Generation/Recombination Term.....Pages 293-313 Back Matter....Pages 314-318