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Die maximale Konsistenzordnung von Differenzenapproximationen nichtnegativer Art

The maximal order of consistency of certain difference methods of inverse monotone type for the numerical solution of elliptic problems

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Summary

Many difference methods for the numerical solution of elliptic boundary value problems lead to systems of linear equations whose matrices areM-matrices and which therefore have nonnegative inverses. In this paper it is shown, that these difference methods are at most consistent of second order.

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Literatur

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Yserentant, H. Die maximale Konsistenzordnung von Differenzenapproximationen nichtnegativer Art. Numer. Math. 42, 119–123 (1983). https://doi.org/10.1007/BF01400922

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  • DOI: https://doi.org/10.1007/BF01400922

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