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Modern modeling approaches for circuit simulation such as themodified nodal analysis (MNA) lead to differential-algebraic equations (DAEs).The index of a DAE is a measure of the degree of numerical difficulty. Ingeneral, the higher the index is, the more difficult it is to solve the DAE.In this paper, we consider a broader class of analysis methods called thehybrid analysis. For nonlinear time-varying circuits with general dependentsources, we give a structural characterization of the tractability index of DAEsarising from the hybrid analysis. This enables us to determine the tractabilityindex efficiently, which helps to avoid solving higher index DAEs in circuitsimulation. [ABSTRACT FROM AUTHOR]

Modern modeling approaches for circuit simulation such as the modified nodal analysis (MNA) lead to differential-algebraic equations (DAEs). The index of a DAE is a measure of the degree of numerical difficulty. In general, the higher the index is, the more difficult it is to solve the DAE. In this paper, we consider a broader class of analysis methods called the hybrid analysis. For nonlinear time-varying circuits with general dependent sources, we give a structural characterization of the tractability index of DAEs arising from the hybrid analysis. This enables us to determine the tractability index efficiently, which helps to avoid solving higher index DAEs in circuit simulation. [ABSTRACT FROM AUTHOR]