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Polynomial-quadrature method of approximate solution of Riemann problem with functional-commutative matrix - MaRDI portal

Polynomial-quadrature method of approximate solution of Riemann problem with functional-commutative matrix (Q2753491)

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scientific article; zbMATH DE number 1670306
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Polynomial-quadrature method of approximate solution of Riemann problem with functional-commutative matrix
scientific article; zbMATH DE number 1670306

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    11 November 2001
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    analytic function
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    Riemann problem
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    approximate solution
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    quadrature formulae
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    Polynomial-quadrature method of approximate solution of Riemann problem with functional-commutative matrix (English)
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    Substantiation of the method of approximate solution of the Riemann problem with functional-commutative matrix in the generalized Hölder spaces on simple connected contours satisfying the Alper conditions is given. The proof is based on the approximate calculation of the Cauchy integrals by polynomial quadrature formulas which enables one to simplify numerical schemes and to obtain more accurate estimates of approximate solutions of the Riemann problem.
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