Ibrahim N Hajj

Computational Methods in Circuit Simulation Ibrahim N Hajj

COMPUTATIONAL METHODS IN CIRCUIT SIMULATION INCUDES THEORY, NUMERICAL TECHNIQUES, AND RECIPES ON HOW TO BUILD A SIMULATOR FOR THE ANALYSIS OF VERY LARGE CIRCUITS WITH COMPLEX DEVICE AND COMPONENT MODELS This book provides theoretical basis of circuit simulation with special emphasis on the simulation of very large circuits and systems. The results are presented in algorithmic form and recipes that can be easily translated into computer code. The book: -Explains the theoretical basis of circuit formulation and describes the Extended Nodal Analysis, which is a generalization of the traditional nodal and modified nodal analysis that allows the inclusion of complex device models. -Describes how to build the circuit equations from the input netlist using the stamp approach. -Presents the solution of large linear equations using sparse matrix techniques, partitioning, iterative and projection methods. -Covers DC solution or the solution of nonlinear algebraic equations, including variations of Newton method and piecewise-linear techniques. -Covers transient analysis or solution of algebraic-differential equations, including integration formulas, stability, error estimation and step-size control. -Explains reduced-order modeling for the simulation of very large dynamic circuits and systems. -Includes sensitivity analysis.