Ill-posed problems with different types of singularities in the solution: regularization, discretization, and iterative approximation View Homepage


Ontology type: schema:MonetaryGrant     


Grant Info

YEARS

2015-2015

FUNDING AMOUNT

N/A

ABSTRACT

The problem is to construct modified variants of variational regularization methods for separately reconstructing solution components with different types of singularities for linear and nonlinear ill-posed problems and to investigate the general scheme of discrete approximation of regularized problems. Numerical modeling for model solutions of integral equations with a basic set of features is envisaged. It is planned to develop solutions that are stable to large errors: Volterra equations of the first kind with a very different scale of the input data structure and their implementation in problems of borehole geophysics, linear and nonlinear Fredholm equations with application to inverse problems of geophysics, sounding of the atmosphere and processing of noisy images. New methods of localization of various kinds of features for noisy functions of one and two variables with an application to navigation problems will be constructed and investigated. More... »

URL

http://www.rfbr.ru/rffi/ru/project_search/o_1999444

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