Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices: Proceedings of a Conference Held at the Mathematisches Forschu (Paperback, Softcover Repri)

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.