Volume 17, Issue 3
A Finite Dimensional Method for Solving Nonlinear Ill-Posed Problems

Qi Nian Jin & Zong Yi Hou

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J. Comp. Math., 17 (1999), pp. 315-326

Published online: 1999-06

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  • 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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@Article{JCM-17-315, author = {}, title = {A Finite Dimensional Method for Solving Nonlinear Ill-Posed Problems}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {3}, pages = {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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9105.html} }
TY - JOUR T1 - A Finite Dimensional Method for Solving Nonlinear Ill-Posed Problems 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 - AB - 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.
Qi Nian Jin & Zong Yi Hou. (1970). A Finite Dimensional Method for Solving Nonlinear Ill-Posed Problems. Journal of Computational Mathematics. 17 (3). 315-326. doi:
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