On the determination of errors in gravimetric transformations
Exact gravity transforms in the regional studies are determined by the solution of nonlinear boundary-value Alexidze problem for the gravity potential. The errors of its substitution by the appropriate problem for the Laplace's equation have been estimated. The accuracy of its solution extremel...
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| Date: | 2011 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | Russian |
| Published: |
S. Subbotin Institute of Geophysics of the NAS of Ukraine
2011
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| Online Access: | https://journals.uran.ua/geofizicheskiy/article/view/117423 |
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| Journal Title: | Geofizicheskiy Zhurnal |
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Geofizicheskiy Zhurnal| _version_ | 1856543332724899840 |
|---|---|
| author | Dubovenko, Yu. I. |
| author_facet | Dubovenko, Yu. I. |
| author_sort | Dubovenko, Yu. I. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-10-07T11:00:40Z |
| description | Exact gravity transforms in the regional studies are determined by the solution of nonlinear boundary-value Alexidze problem for the gravity potential. The errors of its substitution by the appropriate problem for the Laplace's equation have been estimated. The accuracy of its solution extremely depends on the problem's conditioning, approximations of the required gradient direction, parameters of numerical calculus and direction of the external normal, along which the proper derivatives are calculated. |
| first_indexed | 2025-07-17T11:08:41Z |
| format | Article |
| id | journalsuranua-geofizicheskiy-article-117423 |
| institution | Geofizicheskiy Zhurnal |
| language | Russian |
| last_indexed | 2025-07-17T11:08:41Z |
| publishDate | 2011 |
| publisher | S. Subbotin Institute of Geophysics of the NAS of Ukraine |
| record_format | ojs |
| spelling | journalsuranua-geofizicheskiy-article-1174232020-10-07T11:00:40Z On the determination of errors in gravimetric transformations Dubovenko, Yu. I. Exact gravity transforms in the regional studies are determined by the solution of nonlinear boundary-value Alexidze problem for the gravity potential. The errors of its substitution by the appropriate problem for the Laplace's equation have been estimated. The accuracy of its solution extremely depends on the problem's conditioning, approximations of the required gradient direction, parameters of numerical calculus and direction of the external normal, along which the proper derivatives are calculated. S. Subbotin Institute of Geophysics of the NAS of Ukraine 2011-02-01 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/117423 10.24028/gzh.0203-3100.v33i1.2011.117423 Geofizicheskiy Zhurnal; Vol. 33 No. 1 (2011); 136-146 Геофизический журнал; Том 33 № 1 (2011); 136-146 Геофізичний журнал; Том 33 № 1 (2011); 136-146 2524-1052 0203-3100 ru https://journals.uran.ua/geofizicheskiy/article/view/117423/111503 Copyright (c) 2020 Geofizicheskiy Zhurnal https://creativecommons.org/licenses/by/4.0 |
| spellingShingle | Dubovenko, Yu. I. On the determination of errors in gravimetric transformations |
| title | On the determination of errors in gravimetric transformations |
| title_full | On the determination of errors in gravimetric transformations |
| title_fullStr | On the determination of errors in gravimetric transformations |
| title_full_unstemmed | On the determination of errors in gravimetric transformations |
| title_short | On the determination of errors in gravimetric transformations |
| title_sort | on the determination of errors in gravimetric transformations |
| url | https://journals.uran.ua/geofizicheskiy/article/view/117423 |
| work_keys_str_mv | AT dubovenkoyui onthedeterminationoferrorsingravimetrictransformations |