Titlebook: Surveys on Solution Methods for Inverse Problems; David Colton,Heinz W. Engl,William Rundell Book 2000 Springer-Verlag Wien 2000 Ill-posed

HACK

Carleman Estimates and Inverse Problems in the Last Two Decades,lems. Since 1981 this tool has been applied to inverse problems for PDEs. The goal of this paper is to provide a tutorial-like short review of the role which Carleman estimates play in three fundamental issues of inverse problems: uniqueness, stability, and numerical methods.

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molest

Cumulus

GEN

Inverse Problems as Statistics,e or estimation problem. The data are finite in number and contain errors, as they do in classical estimation or inference problems, and the unknown typically is infinite-dimensional, as it is in nonparametric regression. The additional complication in an inverse problem is that the data are only in

巫婆

Solving Inverse Problems with Spectral Data,y mode shape measurements; uniqueness results are obtained using the boundary control method. In the third approach the data is frequencies for four boundary value problems. Local existence, uniqueness results are established together with numerical results for approximate solutions.

先锋派

Inverse Problems as Statistics,ity, consistency, efficiency, and various forms of optimality apply to inverse problems. This article discusses inverse problems as statistical estimation and inference problems, and points to the literature for a variety of techniques and results.

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苦笑

D. Colton,H. W. Engl,A. K. Louis,J. R. McLaughlin,W. Rundellt stage which involves further verification by mathematical formulation as a test for consistency. Little by little the scientists extract from nature some small pieces of knowledge about it and then endeavor to put the pieces together to form an intelligible picture of the whole. This is accomplish

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