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Collocation methods for differential-algebraic equations of index 3 - MaRDI portal

Collocation methods for differential-algebraic equations of index 3 (Q1326458)

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scientific article; zbMATH DE number 569165
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Collocation methods for differential-algebraic equations of index 3
scientific article; zbMATH DE number 569165

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    Collocation methods for differential-algebraic equations of index 3 (English)
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    7 July 1994
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    This article gives sharp convergence results for stiffly accurate collocation methods as applied to differential-algebraic equations of index 3 in Hessenberg form, proving partially a conjecture of \textit{E. Hairer}, \textit{C. Lubich} and \textit{M. Roche} [The numerical solution of differential-algebraic systems by Runge-Kutta methods. Lect. Notes Math. 1409 (1989; Zbl 0683.65050), p. 86].
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    Runge-Kutta methods
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    convergence
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    collocation methods
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    differential- algebraic equations of index 3
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