An iterative method for solving nonlinear Riemann—Hilbert problems

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摘要

A geometrically motivated linearization is used to construct an iterative method for solving nonlinear boundary value problems for holomorphic functions. The nondiscrete method is quadratically convergent. Results of some test calculations are reported.

论文关键词：Newton method,Riemann—Hilbert problem,conformal mapping,singular integral equations

论文评审过程：Received 20 October 1988, Revised 6 March 1989, Available online 21 March 2002.

论文官网地址：https://doi.org/10.1016/0377-0427(90)90014-Q