Circuit Simulation (eBook)

FARID N. NAJM is a Professor in the Department of Electrical and Computer Engineering (ECE) at the University of Toronto. He received a BE degree in electrical engineering from the American University of Beirut (AUB) in 1983 and a PhD degree in ECE from the University of Illinois at Urbana-Champaign (UIUC) in 1989. He then worked with Texas Instruments before joining the ECE Department at UIUC as assistant professor, later becoming associate professor. Dr. Najm joined the ECE Department at the University of Toronto in 1999, where he is currently Professor and Chair. His expertise is in the area of computer-aided design for integrated circuits, with an emphasis on circuit-level issues related to power, timing, variability, and reliability. Dr. Najm is a Fellow of the IEEE.

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.