The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods

The term differential—algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such problems arise in a variety of applications, e.g. constrained mechanical systems, fluid dynamics, chemical reaction kinetics, simulation of electrical networks, and control engineering. From a more theoretical viewpoint, the study of differential—algebraic problems gives insight into the behaviour of ...