TY - JOUR
T1 - A Finite Dimensional Method for Solving Nonlinear Ill-Posed Problems
AU - Jin , Qi-Nian
AU - Hou , Zong-Yi
JO - Journal of Computational Mathematics
VL - 3
SP - 315
EP - 326
PY - 1999
DA - 1999/06
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9105.html
KW - Nonlinear ill-posed problems, Finite dimensional method, Convergence and convergence rates.
AB - <p style="text-align: justify;">We propose a finite dimensional method to compute the solution of nonlinear ill-posed problems approximately and show that under certain conditions, the convergence can be guaranteed. Moreover, we obtain the rate of convergence of our method provided that the true solution satisfies suitable smoothness condition. Finally, we present two examples from the parameter estimation problems of differential equations and illustrate the applicability of our method.</p>