3 papers
math.CA2025
Computing standard canonical forms of regular linear time varying DAEs via a preliminary stage
Diana Estévez Schwarz, René Lamour, Roswitha März
For regular linear time-invariant DAEs the corresponding matrix pencil is regular and the computation of a standard canonical form is well-understood. Although the investigation of…
math.NA2025
On the computation of accurate initial conditions for linear higher-index differential-algebraic equations and its application in initial value solvers
Michael Hanke, Roswitha März
In contrast to regular ordinary differential equations, the problem of accurately setting initial conditions just emerges in the context of differential-algebraic equations where t…
math.CA2024
The common ground of DAE approaches. An overview of diverse DAE frameworks emphasizing their commonalities
Diana Estévez Schwarz, René Lamour, Roswitha März
We analyze different approaches to differential-algebraic equations with attention to the implemented rank conditions of various matrix functions. These conditions are apparently v…