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On the numerical solution of the generalized Prandtl equation using variation-di/-minishing splines - MaRDI portal

On the numerical solution of the generalized Prandtl equation using variation-di/-minishing splines (Q1903641)

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scientific article; zbMATH DE number 825271
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On the numerical solution of the generalized Prandtl equation using variation-di/-minishing splines
scientific article; zbMATH DE number 825271

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    On the numerical solution of the generalized Prandtl equation using variation-di/-minishing splines (English)
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    9 June 1996
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    First, convergence results are proved for Cauchy principal value integrals of the Schönberg variation-diminishing splines and their derivatives. Next, these splines are used in the numerical solution of the Prandtl and generalized Prandtl integral equations. A Nyström-type method and a modified Nyström method are applied. Moreover, computational results are presented and compared.
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    numerical examples
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    convergence
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    Cauchy principal value integrals
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    Schönberg variation-diminishing splines
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    Prandtl integral equations
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    Nyström method
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