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- W55072142 abstract "The error of the linearly implicit mid{point rule after 2m + 1 steps is expanded in powers of m 2 . We prove that the well-known expansion for ordinary dierential equations (an expansion in negative powers of m 2 ) is perturbed by additional terms with non-negative powers of m 2 for semi{explicit dierential{algebraic equations of index one. Hence, extrapolation in m 2 will be of limited value only. The complete expansion shows these limits and, furthermore, can be used to derive an order 8 method of Rosenbrock type." @default.
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- W55072142 date "1993-01-01" @default.
- W55072142 modified "2023-09-24" @default.
- W55072142 title "ANALYSIS OF THE LINEARLY IMPLICIT MID{POINT RULE FOR DIFFERENTIAL{ALGEBRAIC EQUATIONS" @default.
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