Dynamical systems method for solving nonlinear equations with monotone operators
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- by N. S. Hoang and A. G. Ramm PDF
- Math. Comp. 79 (2010), 239-258 Request permission
Abstract:
A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone operators in a Hilbert space is studied in this paper. An a posteriori stopping rule, based on a discrepancy-type principle is proposed and justified mathematically. The results of two numerical experiments are presented. They show that the proposed version of DSM is numerically efficient. The numerical experiments consist of solving nonlinear integral equations.References
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Additional Information
- N. S. Hoang
- Affiliation: Mathematics Department, Kansas State University, Manhattan, Kansas 66506-2602
- MR Author ID: 796419
- Email: nguyenhs@math.ksu.edu
- A. G. Ramm
- Affiliation: Mathematics Department, Kansas State University, Manhattan, Kansas 66506-2602
- Email: ramm@math.ksu.edu
- Received by editor(s): April 3, 2008
- Received by editor(s) in revised form: January 17, 2009
- Published electronically: April 2, 2009
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 79 (2010), 239-258
- MSC (2000): Primary 65R30; Secondary 47J05, 47J06, 47J35
- DOI: https://doi.org/10.1090/S0025-5718-09-02260-1
- MathSciNet review: 2552225