Analyzing the stability behaviour of solutions and their approximations in case of index-2 differential-algebraic systems

Authors:
Roswitha März;Antonio R. Rodríguez-Santiesteban
Affiliations:
-;-
Venue:
Mathematics of Computation
Year:
2002

Citing 5
Cited 3

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Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
On Asymptotics in Case of Linear Index-2 Differential-Algebraic Equations

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Logarithmic Norms for Matrix Pencils

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Differential algebraic systems anew

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Stability preserving integration of index-1 DAEs

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Stability preserving integration of index-2 DAEs

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Abstract

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.