Constraint preserving integrators for
general nonlinear higher index DAEs |
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Authors: | Stephen L Campbell Edward Moore |
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Institution: | (1) Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205 USA email: slc{\tt @}math.ncsu.edu FAX: 1-919-515-3798 , US |
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Abstract: | Summary. In the
last few years there has been considerable research
on numerical methods for differential algebraic equations (DAEs)
where is identically singular.
The index provides one measure of the singularity of a DAE. Most of
the numerical analysis literature on DAEs to date has dealt with
DAEs with indices no larger than three. Even in this case,
the systems were often assumed to have a special structure.
Recently a numerical method was proposed that could, in principle,
be used to integrate general unstructured higher index solvable DAEs.
However, that method did not preserve constraints.
This paper will discuss a modification of that approach which can
be used to design constraint preserving integrators for general
nonlinear higher index DAEs.
Received
August 25, 1993 / Revised version received April 7, 1994 |
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Keywords: | Mathematics Subject Classification (1991): 34A09 65L05 65H10 |
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