A Multiscale Projection Method for Solving Nonlinear Integral Equations Under the Lipschitz Condition
Year: 2023
Author: Linxiu Fan, Xingjun Luo, Rong Zhang, Chunmei Zeng, Suhua Yang
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 6 : pp. 1222–1245
Abstract
We propose a multiscale projection method for the numerical solution of the irtatively regularized Gauss-Newton method of nonlinear integral equations. An a posteriori rule is suggested to choose the stopping index of iteration and the rates of convergence are also derived under the Lipschitz condition. Numerical results are presented to demonstrate the efficiency and accuracy of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2202-m2021-0206
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 6 : pp. 1222–1245
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Nonlinear integral equations Multiscale Galerkin method parameter choice strategy Gauss-Newton method.