When integrating regular ordinary differential equations numerically, one tries to match carefully the dynamics of the numerical algorithm with the dynamical behaviour of the true solution. The present paper deals with linear index-2 differential-algebraic systems. It is shown how knowledge pertaining to (numerical) regular ordinary differential equations applies provided a certain subspace which is closely related to the tangent space of the constraint manifold remains invariant
We consider linear time-invariant systems of ordinary differential equations with degenerate matrix...
AbstractGiven a system of linear differential equations near an irregular singularity of pole type, ...
When integrating index-2 differential-algebraic equations, the given constraint may be failed to be ...
New stability results are proved for linear index-2 differential algebraic equations (DAE). They are...
In this paper we consider solution spaces of linear index-2-tractable differential algebraic equatio...
The dynamics of a differential algebraic equation takes place on a lower dimensional manifold in pha...
AbstractThis paper deals with periodic index-2 differential algebraic equations and the question whe...
This paper deals with periodic index-2 differential algebraic equations and the question whether a p...
We analyze Runge-Kutta discretizations applied to index 2 differential algebraic equations (DAE's). ...
We analyze Runge-Kutta discretizations applied to index 2 differential algebraic equations (DAE's) n...
The index of DAE systems arising from linear quadratic optimal control problems is considered. Neces...
The subject of this book is the solution of stiff differential equations and of differential-algebra...
On the background of a careful analysis of linear DAEs, linearizations of nonlinear index-2 systems ...
AbstractThe paper deals with a class of quasilinear index-2 differential algebraic equations, which ...
This paper studies the effect of perturbations in the system matrices of linear Differential Algebra...
We consider linear time-invariant systems of ordinary differential equations with degenerate matrix...
AbstractGiven a system of linear differential equations near an irregular singularity of pole type, ...
When integrating index-2 differential-algebraic equations, the given constraint may be failed to be ...
New stability results are proved for linear index-2 differential algebraic equations (DAE). They are...
In this paper we consider solution spaces of linear index-2-tractable differential algebraic equatio...
The dynamics of a differential algebraic equation takes place on a lower dimensional manifold in pha...
AbstractThis paper deals with periodic index-2 differential algebraic equations and the question whe...
This paper deals with periodic index-2 differential algebraic equations and the question whether a p...
We analyze Runge-Kutta discretizations applied to index 2 differential algebraic equations (DAE's). ...
We analyze Runge-Kutta discretizations applied to index 2 differential algebraic equations (DAE's) n...
The index of DAE systems arising from linear quadratic optimal control problems is considered. Neces...
The subject of this book is the solution of stiff differential equations and of differential-algebra...
On the background of a careful analysis of linear DAEs, linearizations of nonlinear index-2 systems ...
AbstractThe paper deals with a class of quasilinear index-2 differential algebraic equations, which ...
This paper studies the effect of perturbations in the system matrices of linear Differential Algebra...
We consider linear time-invariant systems of ordinary differential equations with degenerate matrix...
AbstractGiven a system of linear differential equations near an irregular singularity of pole type, ...
When integrating index-2 differential-algebraic equations, the given constraint may be failed to be ...