SIAM Journal on Algebraic and Discrete Methods
Stability of computational methods for constrained dynamics systems
SIAM Journal on Scientific Computing
On Asymptotics in Case of Linear Index-2 Differential-Algebraic Equations
SIAM Journal on Numerical Analysis
Runge-Kutta methods for DAEs. A new approach
Proceedings of the on Numerical methods for differential equations
A Differentiation Index for Partial Differential-Algebraic Equations
SIAM Journal on Scientific Computing
Stability preserving integration of index-1 DAEs
Applied Numerical Mathematics
Stability preserving integration of index-2 DAEs
Applied Numerical Mathematics
Linear-Quadratic Discrete Optimal Control Problems for Descriptor Systems in Hilbert Space
Journal of Dynamical and Control Systems
Augmented nodal matrices and normal trees
Discrete Applied Mathematics
Singularity crossing phenomena in DAEs: A two-phase fluid flow application case study
Computers & Mathematics with Applications
Characterizing differential algebraic equationswithout the use of derivative arrays
Computers & Mathematics with Applications
Nondegeneracy conditions for active memristive circuits
IEEE Transactions on Circuits and Systems II: Express Briefs
Self-heating in a coupled thermo-electric circuit-device model
Journal of Computational Electronics
Cyclic matrices of weighted digraphs
Discrete Applied Mathematics
Numerical solution of differential-algebraic equations using the spline collocation-variation method
Computational Mathematics and Mathematical Physics
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It is proposed to figure out the leading term in differential algebraic systems more precisely. Low index linear systems with those properly stated leading terms are considered in detail. In particular, it is asked whether a numerical integration method applied to the original system reaches the inherent regular ODE without conservation, i.e., whether the discretization and the decoupling commute in some sense. In general one cannot expect this commutativity so that additional difficulties like strong stepsize restrictions may arise. Moreover, abstract differential algebraic equations in infinite-dimensional Hilbert spaces are introduced, and the index notion is generalized to those equations. In particular, partial differential algebraic equations are considered in this abstract formulation.