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Stability preserving integration of index-2 DAEs. (English) Zbl 1041.65066
The paper is a continuation of the article [ibid. 45, No. 2–3, 175–200 (2003; Zbl reviewed above)] by the same authors, published in the same volume. Again, possibly after reformulation, differential-algebraic formula method with properly stated leading term which are numerically qualified are studied under the aspect of preservation of contractivity or dissipativity properties by numerical approximation schemes.

65L80 Numerical methods for differential-algebraic equations
65L20 Stability and convergence of numerical methods for ordinary differential equations
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
34A09 Implicit ordinary differential equations, differential-algebraic equations
Full Text: DOI
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