A comprehensive approach to simulating multiple aspects of the in-circuit performance of discrete nonlinear passive electronic components is presented. The methodology reveals interactions between the spatially distributed electromagnetic field and the time domain response of the circuit via high-quality interactive visualizations of field and circuit quantities. The simulation environment allows simultaneous viewing of voltage or current waveforms in the circuit elements and spatial distributions of the electric or potential fields inside and outside system components. This modeling methodology integrates several disciplines of simulation technology, such as efficient numerical algorithms for 3-D spatial solvers, stable and robust time domain models of non-linear circuit elements, compact storage and efficient representation of computed data, and high performance visualization methods.