Iterative methods for discrete nonlinear Riemann-Hilbert problems
type: Item
instance of: scholarly article
title: Iterative methods for discrete nonlinear Riemann-Hilbert problems
zbMATH Open document ID: 0781.65020
DOI: 10.1016/0377-0427(93)90292-J
author: E. Wegert
published in: Journal of Computational and Applied Mathematics
publication date: 1994-02-17T00:00:00Z
review text: The author presents iterative methods for the computation of functions \(w = u + iv\) which are holomorphic in a domain \(D\) and satisfy the boundary relation \(F(t,u(t),v(t)) = 0\) for all \(t\) in the boundary of \(D\), and proves that a proposed iterative method for the solution of the discrete as well as the nondiscrete problem converges quadratically in a neighborhood of the solution.
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 30E25
zbMATH DE Number: 219117
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: Newton type method
zbMATH Keywords: collocation
zbMATH Keywords: interpolation
zbMATH Keywords: convergence
zbMATH Keywords: iterative methods
reviewed by: Chuangan Hu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 219117