Characterizing differential algebraic equationswithout the use of derivative arrays

Authors:
R. März
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2005

Citing 6
Cited 0

Differential--Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index

SIAM Journal on Scientific Computing
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

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Differential algebraic systems anew

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Stability preserving integration of index-1 DAEs

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Differential algebraic equations with properly stated leading terms

Computers & Mathematics with Applications
Index determination and calculationof consistent initial values for DAEs

Computers & Mathematics with Applications

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Abstract

For a large class of differential algebraic equations with properly stated leading termsand nonsmooth data, an index characterization in terms of the original coefficients and their only first partial derivatives is given. No higher derivatives are used, but several constant rank conditions seem to be essential.