Year: 1999
Author: Qi-Nian Jin, Zong-Yi Hou
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 3 : pp. 315–326
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9105
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 3 : pp. 315–326
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Nonlinear ill-posed problems Finite dimensional method Convergence and convergence rates.