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B-convergence of Lobatto IIIC formulas - MaRDI portal

B-convergence of Lobatto IIIC formulas (Q580909)

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scientific article; zbMATH DE number 4018264
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B-convergence of Lobatto IIIC formulas
scientific article; zbMATH DE number 4018264

    Statements

    B-convergence of Lobatto IIIC formulas (English)
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    1987
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    Implicit Runge-Kutta methods for initial value problems \(y'=f(t,y)\), \(y(0)=y_ 0\) are studied. B-convergence resulting from Lobatto IIIC schemes is presented. In particular, these schemes with more than two stages are (are not) B-convergent if \(m<0\) \((m>0)\) where m is the Lipschitz constant of f.
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    Implicit Runge-Kutta methods
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    B-convergence
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    Lobatto IIIC schemes
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