ABSTRACT
Time-domain circuit analysis can be viewed as integrating such circuit equations to obtain a solution. It covers basic theoretical aspects of numerical Ordinary Algebraic Differential Equations (OADE) integration and the practical problems involved in creating efficient algorithms. Universally used for time-domain circuit analysis, numerical methods for integrating OADE exploit the idea of interpolating the next solution with a polynomial of specified degree, spanning a number of points of the solution derived so far. In circuit simulation, equations are created automatically from the net-list. This chapter discusses the main blocks of time-domain transient analysis algorithms, temporarily assuming that circuit OADEs are already known for example analyticaly. It analyses the formulation of circuit equations for time-domain transient analysis. The chapter demonstrates discretization and linearization using analytic circuit description. It presents general methods of creating discretized and linearized equations directly from circuit net-list definitions. The chapter demonstrates how linear companion equations for time-domain transient analysis can be formulated.
