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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.

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
Full Text: DOI
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