Convergence of numerical methods for systems of neutral functional-differential-algebraic equations
The authors extend the results on consistency and convergence for numerical methods for the solution of initial value problems in ordinary differential-algebraic equations by \textit{P. Deuflhard}, \textit{E. Hairer} and \textit{J. Zugck} [Numer. Math. 51, 501-516 (1987; Zbl 0635.65083)] and \textit{E. Hairer}, \textit{C. Lubich} and \textit{M. Roche} [Lect. Notes Math. 1409 (1989; Zbl 0683.65050)] to the class of neutral functional differential-algebraic equations. They only consider problems of index 1.
neutral functional differential-algebraic equations
scientific article; zbMATH DE number 887229
scientific article