Modeling, Simulation, and Optimization of Integrated Circuits

In November 2001 the Mathematical Research Center at Oberwolfach, Germany, hosted the third Conference on Mathematical Models and Numerical Simulation in Electronic Industry. It brought together researchers in mathematics, electrical engineering and scientists working in industry.

The contributions to this volume try to bridge the gap between basic and applied mathematics, research in electrical engineering and the needs of industry.

Device Simulation and Applications. - Hydrodynamical Model for GaAs Semiconductors Based on the Maximum Entropy Principle with Application to Electronic Devices. - Modeling and Simulation of Electro-Quasistatic Fields. - Radio Frequency Integrated Circuit System Design for UMTS Terminal Receivers. - Finite-element Discretizations of Semiconductor Energy-transport Equations. - Circuit Simulation and DAE s. - An Embedding Approach for the Simulation of Electronic Circuits with Widely Seperated Time Scales. - Actual Problems of Circuit Simulation in Industry. - Periodic Steady State Computation with the Poincaré-map Method. - Periodic AC and Periodic Noise in RF Simulation for Electronic Circuit Design. - Differential Algebraic Systems with Properly Stated Leading Term and MNA Equations. - A Parallel Finite Difference Method for Multirate Partial Differential Algebraic Equations. - Feasibility Regions and their Significance to the Hierarchical Optimization of Analog and Mixed-Signal Systems. - Coupling of Devices and Circuits. - Modeling and Discretization of a Thermal-Electric Test Circuit. - A Refined PDAE Network Model for a CMOS Ring Oscillator. - Parasitics Reduction for Analog Circuit Simulation. - Modeling Circuit Systems Coupled with Distributed Semiconductor Equations. - Circuits with Stochastic Sources. - Transient Noise Simulation: Modeling and Simulation of 1/ f-Noise. - Noise Analysis of Nonlinear Electrical Circuits and Devices. - On Parametric Test Design for Analog Integrated Circuits considering Error in Measurement and Stimulus. - Stochastic DAEs in Circuit Simulation. - Advanced Mathematical Tools. - An Efficient Way to Avoid the Order Reduction of Linearly Implicit Runge-Kutta Methods for Nonlinear IBVP s. - Solution of Linear Systems with Sparse Matrices. - ThePerformances of the Code TOM on the Holt Problem.