Iterative methods for discrete nonlinear Riemann-Hilbert problems (Q1802164)
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scientific article; zbMATH DE number 219117
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iterative methods for discrete nonlinear Riemann-Hilbert problems |
scientific article; zbMATH DE number 219117 |
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Iterative methods for discrete nonlinear Riemann-Hilbert problems (English)
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17 February 1994
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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.
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Riemann-Hilbert problem
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Newton type method
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collocation
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interpolation
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convergence
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iterative methods
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