On the numerical solution of the generalized Prandtl equation using variation-di/-minishing splines
type: Item
instance of: scholarly article
title: On the numerical solution of the generalized Prandtl equation using variation-di/-minishing splines
zbMATH Open document ID: 0838.65134
DOI: 10.1016/0377-0427(94)00024-U
author: F. Caliò
author: E. Marchetti
author: Philip Rabinowitz
published in: Journal of Computational and Applied Mathematics
publication date: 1996-06-09T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 45E05
Mathematics Subject Classification ID: 76G25
zbMATH DE Number: 825271
zbMATH Keywords: numerical examples
zbMATH Keywords: convergence
zbMATH Keywords: Cauchy principal value integrals
zbMATH Keywords: Schönberg variation-diminishing splines
zbMATH Keywords: Prandtl integral equations
zbMATH Keywords: Nyström method
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 825271