Differential-algebraic equations as stiff ordinary differential equations
In this paper we show that differential-algebraic systems of index-1 can always be viewed as reduced problems from singular perturbed ODEs. Applying implicit Runge-Kutta methods to the singular perturbed system, we gain new insight into the relationship of order-reduction phenomena observed for stiff ODEs to that for differential-algebraic equations. We show that the order of convergence achieved for index-1-differential/algebraic equations is at least the order of B-convergence. 16 refs.
- Research Organization:
- Lawrence Livermore National Lab., CA (USA)
- Sponsoring Organization:
- DOE/DP
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 6980335
- Report Number(s):
- UCID-21964; ISCR--1989-01; ON: DE90007922
- Country of Publication:
- United States
- Language:
- English
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