On the Problem of Improving the Accuracy of Computational Schemes in Analytical Continuation of Gravitational Field
The article discusses the variants of constructing the computational schemes of the difference grid method in solving the problem of analytical continuation of the gravitational field observed on the Earth's surface into the lower half-space. The error of replacing the continuous Laplace equati...
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| Format: | Article |
| Language: | English |
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Perm Sate National Research University
2024-04-01
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| Series: | Vestnik Permskogo Universiteta: Seriâ Geologiâ |
| Online Access: | http://geology-vestnik.psu.ru/index.php/geology/article/view/528 |
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| author | Z. Z. Arsanukaev E. G. Rudakovskaya |
| author_facet | Z. Z. Arsanukaev E. G. Rudakovskaya |
| author_sort | Z. Z. Arsanukaev |
| collection | DOAJ |
| description | The article discusses the variants of constructing the computational schemes of the difference grid method in solving the problem of analytical continuation of the gravitational field observed on the Earth's surface into the lower half-space. The error of replacing the continuous Laplace equation by a difference equation is estimated. The results of computational experiments of analytical continuation of given field values at different grid sizes are presented. |
| format | Article |
| id | doaj-art-380a6e069e2b492fbef47e681a35f08e |
| institution | Kabale University |
| issn | 1994-3601 2313-4798 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | Perm Sate National Research University |
| record_format | Article |
| series | Vestnik Permskogo Universiteta: Seriâ Geologiâ |
| spelling | doaj-art-380a6e069e2b492fbef47e681a35f08e2024-11-11T09:59:10ZengPerm Sate National Research UniversityVestnik Permskogo Universiteta: Seriâ Geologiâ1994-36012313-47982024-04-01231576710.17072/psu.geol.23.1.57428On the Problem of Improving the Accuracy of Computational Schemes in Analytical Continuation of Gravitational FieldZ. Z. Arsanukaev0E. G. Rudakovskaya1Российский химико-технологический университет им. Д.И. Менделеева, 125047, Москва, Миусская площадь, д.9Российский химико-технологический университет им. Д.И. Менделеева, 125047, Москва, Миусская площадь, д.9The article discusses the variants of constructing the computational schemes of the difference grid method in solving the problem of analytical continuation of the gravitational field observed on the Earth's surface into the lower half-space. The error of replacing the continuous Laplace equation by a difference equation is estimated. The results of computational experiments of analytical continuation of given field values at different grid sizes are presented.http://geology-vestnik.psu.ru/index.php/geology/article/view/528 |
| spellingShingle | Z. Z. Arsanukaev E. G. Rudakovskaya On the Problem of Improving the Accuracy of Computational Schemes in Analytical Continuation of Gravitational Field Vestnik Permskogo Universiteta: Seriâ Geologiâ |
| title | On the Problem of Improving the Accuracy of Computational Schemes in Analytical Continuation of Gravitational Field |
| title_full | On the Problem of Improving the Accuracy of Computational Schemes in Analytical Continuation of Gravitational Field |
| title_fullStr | On the Problem of Improving the Accuracy of Computational Schemes in Analytical Continuation of Gravitational Field |
| title_full_unstemmed | On the Problem of Improving the Accuracy of Computational Schemes in Analytical Continuation of Gravitational Field |
| title_short | On the Problem of Improving the Accuracy of Computational Schemes in Analytical Continuation of Gravitational Field |
| title_sort | on the problem of improving the accuracy of computational schemes in analytical continuation of gravitational field |
| url | http://geology-vestnik.psu.ru/index.php/geology/article/view/528 |
| work_keys_str_mv | AT zzarsanukaev ontheproblemofimprovingtheaccuracyofcomputationalschemesinanalyticalcontinuationofgravitationalfield AT egrudakovskaya ontheproblemofimprovingtheaccuracyofcomputationalschemesinanalyticalcontinuationofgravitationalfield |