Circuit Simulation

A Definitive text on developing circuit simulators

Circuit Simulation gives a clear description of the numerical techniques and algorithms that are part of modern circuit simulators, with a focus on the most commonly used simulation modes: DC analysis and transient analysis. Tested in a graduate course on circuit simulation at the University of Toronto, this unique text provides the reader with sufficient detail and mathematical rigor to write his/her own basic circuit simulator. There is detailed coverage throughout of the mathematical and numerical techniques that are the basis for the various simulation topics, which facilitates a complete understanding of practical simulation techniques. In addition, Circuit Simulation:
* Explores a number of modern techniques from numerical analysis that are not synthesized anywhere else
* Covers network equation formulation in detail, with an emphasis on modified nodal analysis
* Gives a comprehensive treatment of the most relevant aspects of linear and nonlinear system solution techniques
* States all theorems without proof in order to maintain the focus on the end-goal of providing coverage of practical simulation methods
* Provides ample references for further study
* Enables newcomers to circuit simulation to understand the material in a concrete and holistic manner

With problem sets and computer projects at the end of every chapter, Circuit Simulation is ideally suited for a graduate course on this topic. It is also a practical reference for design engineers and computer-aided design practitioners, as well as researchers and developers in both industry and academia.

List of Figures. List of Tables. Preface. 1 Introduction. 1.1 Device Equations. 1.2 Equation Formulation. 1.3 Solution Techniques. 1.4 Circuit Simulation Flow. Notes. Problems. 2 Network Equations. 2.1 Elements and Networks. 2.2 Topological Constraints. 2.3 Cycle Space and Bond Space. 2.4 Formulation of Linear Algebraic Equations. 2.5 Formulation of Linear Dynamic Equations. Notes. Problems. 3 Solution of Linear Algebraic Circuit Equations. 3.1 Direct Methods. 3.2 Accuracy and Stability of GE. 3.3 Indirect/Iterative Methods. 3.4 Partitioning Techniques. 3.5 Sparse Matrix Techniques. Notes. Problems. 4 Solution of Nonlinear Algebraic Circuit Equations. 4.1 Nonlinear Network Equations. 4.2 Solution Techniques. 4.3 Application to Circuit Simulation. 4.4 Quasi-Newton Methods in Simulation. Notes. Problems. 5 Solution of Differential Circuit Equations. 5.1 Differential Network Equations. 5.2 ODE Solution Techniques. 5.3 Accuracy of LMS Methods. 5.4 Stability of LMS Methods. 5.5 Trapezoidal Ringing. 5.6 Variable Time-Step Methods. 5.7 Application to Circuit Simulation. Notes. Problems. Glossary. Bibliography. Index.