We assume that differential-algebraic equations (DAEs) and their more abstract versions in
infinite-dimensional spaces comprise great potential for future mathematical modeling. To …

We describe a method for analyzing the structure of a system of nonlinear integro-differential–
algebraic equations (IDAEs) that generalizes the Σ-method for the structural analysis of …

We have developed an implicit Hermite-Obreschkoff method for the numerical solution of stiff
high-index differential-algebraic equations (DAEs). On each integration step, this method …

Differential algebraic equations (DAEs) are often automatically generated, in particular, by
coupling different tools. These DAEs are unstructured in the sense that they do not reveal …

The index of a Differential‐Algebraic equation (DAE) describes the expected difficulties
solving such an equation. The tractability index bases on a linearization of the DAE along a …

The characterization of DAEs by the tractability index concept bases on the investigation of
the related matrix sequence. The algorithmic steps of the implementation of the sequence …

Die Gasversorgung des Reaktors in der realen Miniplant sah zum Zeitpunkt der
Modellierung keinen Gasauslassstrom vor, sodass ausgehend von einer …

The index of a DAE is a measure of the expected difficulties arising when solving it. The
tractability index concept determines the index without knowing any solution. It is based on a …