Structural Preprocessing Method for Nonlinear Differential-Algebraic Equations Using Linear Symbolic Matrices

Differential-algebraic equations (DAEs) have been used in modeling various dynamical systems in science and engineering. There are several preprocessing methods that are needed before performing numerical simulations for DAEs, such as consistent initialization and index reduction. Preprocessing methods that use structural information on DAEs run fast and are widely used. Unfortunately, structural preprocessing methods may fail when the system Jacobian, which is a functional matrix, derived from the DAE is singular.