This article presents a fairly up to date survey of the research literature relating to differential-
algebraic equations (DA Es) and their numerical solution In contrast to ordinary differential …

Differential-algebraic equations are a widely accepted tool for the modeling and simulation
of constrained dynamical systems in numerous applications, such as mechanical multibody …

Publisher Summary This chapter discusses the modeling aspect of differential-algebraic
equations (DAEs). In computational engineering, the network modeling approach forms the …

Mathematics is playing an ever more important role in the physical and biological sciences,
provoking a blurring of boundaries between scientific disciplines and a resurgence of …

Differential-algebraic equations (DAEs) provide an essential tool for system modeling and
analysis within different fields of applied sciences and engineering. This book addresses …

The development of integrated circuits requires powerful numerical simulation programs.
Naturally, there is no method that treats all the different kinds of circuits successfully. The …

In this paper we give a survey on balanced truncation model order reduction for linear time-
invariant continuous-time systems in descriptor form. We first give a brief overview of the …

Abstract Model reduction is of fundamental importance in many control applications. We
consider model reduction methods for linear time-invariant continuous-time descriptor …

We discuss the numerical solution and perturbation theory for the generalized continuous-
time Lyapunov equation E* XA+ A* XE=− G with a singular matrix E. If this equation has a …

Flexible multibody dynamics is a rapidly growing field with various applications in vehicle
analysis, aerospace engineering, robotics, and biomechanics. Overall, the mathematical …