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Sib. Èlektron. Mat. Izv., 2008, Volume 5, Pages 509–517 (Mi semr124)  

This article is cited in 2 scientific papers (total in 2 papers)

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The regular methods for inverse gravity problem solving

E. N. Akimova, G. G. Skorik

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: For solving three-dimensional inverse gravity problem on reconstruction interface between two media with constant density regular methods are supposed. The methods of the solution contain two stage. On the first stage from measured gravity field the anomalous effect is selected with using regularizing technique. On the second stage the iteratively regularized Newton and Fletcher-Reevs processes are applied to solve the nonlinear integral equation of gravimetry. Results of model numerical experiments on parallel computing system MVS-1000 are demonstrated.

Keywords: inverse gravity problem, integral equation, parallel regular algorithms, parallel computing system MVS-1000.

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Bibliographic databases:
UDC: 517.988.68
MSC: 65R30
Received July 17, 2008, published November 27, 2008

Citation: E. N. Akimova, G. G. Skorik, “The regular methods for inverse gravity problem solving”, Sib. Èlektron. Mat. Izv., 5 (2008), 509–517

Citation in format AMSBIB
\Bibitem{AkiSko08}
\by E.~N.~Akimova, G.~G.~Skorik
\paper The regular methods for inverse gravity problem solving
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 509--517
\mathnet{http://mi.mathnet.ru/semr124}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2586654}


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    This publication is cited in the following articles:
    1. V. V. Vasin, V. N. Dubinin, V. G. Romanov, “Itogovyi nauchnyi otchet po mezhdistsiplinarnomu integratsionnomu proektu SO RAN: “Razrabotka teorii i vychislitelnoi tekhnologii resheniya obratnykh i ekstremalnykh zadach s prilozheniem v matematicheskoi fizike i gravimagnitorazvedke””, Sib. elektron. matem. izv., 5 (2008), 427–439  mathnet  elib
    2. V. V. Vasin, E. N. Akimova, G. Ya. Perestoronina, P. S. Martyshko, V. A. Pyankov, “Metody resheniya obratnoi zadachi magnitometrii [Itogovyi nauchnyi otchet po mezhdistsiplinarnomu integratsionnomu proektu SO RAN: “Razrabotka teorii i vychislitelnoi tekhnologii resheniya obratnykh i ekstremalnykh zadach s prilozheniem v matematicheskoi fizike i gravimagnitorazvedke”]”, Sib. elektron. matem. izv., 5 (2008), 620–631  mathnet  mathscinet
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