Dubovenko Y. Contact interfaces definition by the inversion of the logarithm potential derivatives given on the essentially restricted sets

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U000578

Thesis Registration Form

0405U000578.pdf

Applicant for

Specialization

  • 04.00.22 - Геофізика

10-02-2005

Specialized Academic Board

Д 26.200.01

Institute of Geophysics by S.I. Subbotin name

Essay

The theses for a candidate's degree are devoted to development of a theory and algorithms concerned with the problem for contact interface recovery provided that the gravity field is represented by the logarithm potential derivatives values given as on the unlimited profiles as on the essentially restricted ones. In case of first type field the effective schemes for field values extrapolation beyond the profile limits and acceleration of iteration convergence have been proposed. As for the field, received on the restricted sets, for the contact border renovation the series of methods proposed treated as limit functions of the succession of the solutions of 1st kind linear integral equations with compact operators having the fast decreasing integral cores of Schwarz's type are substantiated. A correctness of received equations solutions is established on the specially introduced Numerov class and regularizing algorithm with enforced numerical stability is set up.

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Disser-Висновок.doc

Disser-Вступ.doc

Disser-Додаток A.doc

Disser-Додаток Б.doc

Disser-Коментар.doc

Disser-Коментар1.doc

Disser-Коментар2.doc

Disser-Література.doc

Disser-Розділ 1.doc

Disser-Розділ 2.doc

Disser-Розділ 3.doc

Disser-Розділ 4.doc

Disser-Титул+зміст.doc

Referat-aref_ukr.doc

Referat-aref_ukrtitul.doc

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