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 Tables.
1.1 Device Equations.
1.2 Equation Formulation.
1.3 Solution Techniques.
1.4 Circuit Simulation Flow.
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.
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.
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.
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.