Stabilization and projection methods for multibody dynamics

In recent years, there has been growing interest in stabilized index reduction techniques for differential-algebraic equations (DAE) of multibody dynamics. A number of the proposals which incorporate the idea of a projection onto the constraint manifold are discussed. The methods are divided into classes based on whether the projection is performed on the residuals of the discretized DAE or on the numerical solution itself, and demonstrate relationships between the methods of each class