full
search.png

Search

close.png

Cancel

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

Qi-Nian Jin & Zong-Yi Hou

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

Published online: 1999-06

Preview Full PDF 2497 25205

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

Nonlinear ill-posed problems, Finite dimensional method, Convergence and convergence rates.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-17-315, author = {Jin , Qi-Nian and Hou , Zong-Yi}, 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 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 -

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.

Jin , Qi-Nian and Hou , Zong-Yi. (1999). A Finite Dimensional Method for Solving Nonlinear Ill-Posed Problems. Journal of Computational Mathematics. 17 (3). 315-326. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard