TY - JOUR
T1 - A Multiscale Projection Method for Solving Nonlinear Integral Equations Under the Lipschitz Condition
AU - Fan , Linxiu
AU - Luo , Xingjun
AU - Zhang , Rong
AU - Zeng , Chunmei
AU - Yang , Suhua
JO - Journal of Computational Mathematics
VL - 6
SP - 1222
EP - 1245
PY - 2023
DA - 2023/11
SN - 41
DO - http://doi.org/10.4208/jcm.2202-m2021-0206
UR - https://global-sci.org/intro/article_detail/jcm/22110.html
KW - Nonlinear integral equations, Multiscale Galerkin method, parameter choice strategy, Gauss-Newton method.
AB - <p style="text-align: justify;">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.</p>