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On simplifying assumptions of Runge-Kutta methods for index 2 differential algebraic problems. (English) Zbl 0823.65074
Author’s summary: We show a result that ensures certain order for the local error of Runge-Kutta methods for index 2 differential algebraic problems with the help of the simplifying conditions $$B(p)$$, $$C(q)$$, $$D(r)$$ and $$A_ 1(s)$$ for the differential component and $$B(p)$$, $$C(q)$$, and $$A_ 2(s)$$ for the algebraic component.

##### MSC:
 65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations 65L05 Numerical methods for initial value problems involving ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems
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##### References:
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