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