Assessment of Tikhonov-type regularization methods for solving atmospheric inverse problems

Iterated Regularization Methods for Solving Inverse Problems

A numerical approach for solving a nonlinear inverse diusion problem by Tikhonov regularization

In this paper, we propose an algorithm for numerical solving an inverse non-linear diusion problem. In additional, the least-squares method is adopted tond the solution. To regularize the resultant ill-conditioned linear system ofequations, we apply the Tikhonov regularization method to obtain the stablenumerical approximation to the solution. Some numerical experiments con-rm the utility of th...

Numerical Regularization for Atmospheric Inverse Problems - Preamble

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Newton-type regularization methods for nonlinear inverse problems

Inverse problems arise whenever one searches for unknown causes based on observation of their effects. Such problems are usually ill-posed in the sense that their solutions do not depend continuously on the data. In practical applications, one never has the exact data; instead only noisy data are available due to errors in the measurements. Thus, the development of stable methods for solving in...

a numerical approach for solving a nonlinear inverse diusion problem by tikhonov regularization

in this paper, we propose an algorithm for numerical solving an inverse non-linear diusion problem. in additional, the least-squares method is adopted tond the solution. to regularize the resultant ill-conditioned linear system ofequations, we apply the tikhonov regularization method to obtain the stablenumerical approximation to the solution. some numerical experiments con-rm the utility of...