Regularization techniques for nonlinear problems
β Scribed by D. Hinestroza; D.A. Murio; S. Zhan
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 584 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
We consider the analysis of regularization problems in state space for nonlinear implicit operators. Results on existence, stability, and convergence rates for the regularization technique are presented. Some numerical examples illustrating the behavior of the algorithm in practical situations are also included. (~) 1999 Elsevier Science Ltd. All rights reserved.
π SIMILAR VOLUMES
Often, physically interesting functions are not directly accessible by an experiment, and must be calculat an experimental accessible quantity. If this calculation requires the inversion of a Fredholm integral equk ind, the determination of the physically interesting function is an ill-posed problem
Optimal state estimation from given observations of a dynamical system by data assimilation is generally an ill-posed inverse problem. In order to solve the problem, a standard Tikhonov, or L 2 , regularization is used, based on certain statistical assumptions on the errors in the data. The regulari