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About the journal

NAUKA I TEKHNOLOGICHESKIE RAZRABOTKI (SCIENCE AND TECHNOLOGICAL DEVELOPMENTS), ISSN: 2079-5165, eISSN: 2410-7948, DOI: 10.21455/std; https://elibrary.ru/title_about.asp?id=32295; http://std.ifz.ru/. The journal was founded in 1992.

EFFECTIVE TECHNOLOGY FOR BUILDING DIGITAL RELIEF MODELS AND ANALYTICAL APPROXIMATIONS

OF THE EARTH’S POTENTIAL FIELDS

I.E. Stepanova1, D.N. Raevskij1, А.V. Shchepetilov2

1 Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, Moscow, Russia

2 Lomonosov Moscow State University, Moscow, Russia

Corresponding author: I.E. Stepanova, e-mail: tet@ifz.ru

Highlights

– Analytical relief’s models are proposed on the base of linear integral representation method

– Digital Models of three restricts of Spain are build

– The analysis of the parameter dependence on the complexity of the relief is accomplished

– Effective algorithms for solving large algebraic equation systems are described

Abstract. Analytical relief’s models are build from the functional dependencies for the description of the Earth’s surface. The models of such a kind can be used in various scopes of the human activities, for example in geomorphology, gravimetry, geodesy. The main goal of this paper is to estimate the possibility of the implementation of analytical relief models of different complexity level. The modified S-approximations of three regions of Spain are created. The analysis of the model parameter dependence on the relief’s character is fulfilled.

Keywords: integral, approximation, relief, digital model.

Cite this article as: Stepanova I.E., Raevskij D.N., Shchepetilov А.V. Effective technology for building digital relief models and analytical approximations of the Earth’s potential fields, Nauka i Tekhnologicheskie Razrabotki (Science and Technological Developments), 2018, vol. 97, no. 3, pp. 5–14. [in Russian]. DOI: 10.21455/std2018.3-1

References

Raevskij D.N., Stepanova I.E. The regularized three layer’s Chebyshev iterative method at solving the inverse gravimetry problems, Infinite dimension analysis, stochastic methods, mathematical modelling, new problems and methods. Problems of mathematical and natural sciences education. Proceedings of the International L.D. Kudrjavtsev conference. Moscow: RUDN University, 2015, pp. 148–152.

Stepanova I.E., Raevskij D.N., Koneshov V.N. Modified S-approximation method at solving inverse problems of geophysics and geomorphology, Geophysicheskie Issledovaniya (Geophysical Research), 2017, v. 18, no. 1, pp. 63–83. [in Russian].

Stepanova I.E., Kerimov I.A., Raevskij D.N., Shchepetilov A.V. Combined method of F-, S-, and R-approximations in solving the problems of geophysics and geomorphology, Izvestiya, Physics of the Solid Earth, 2018, no. 1, pp. 91–105. DOI: https://doi.org/10.1134/S1069351318010147

Strakhov V. N., Stepanova I.E. S-approximation method and it’s use at solving gravimetry problems (regional version), Fizika Zemli (Physics of the Earth), 2002, no. 7, pp. 3–12. [in Russian].

Strakhov V. N., Stepanova I.E. S-approximation method and it’s use at solving gravimetry problems (local version), Fizika Zemli (Physics of the Earth), 2002, no. 2, pp. 3–19. [in Russian].

About the authors

STEPANOVA Inna Eduardovna – Major scientist, doctor of physical and mathematical sciences, Schmidt Institute of Physics of the Earth, RAS. 123242, Moscow, ul. Bolshaya Gruzinskaya 10, stroenie 1. Tel.: +7(499) 254-51-52. E-mail: tet@ifz.ru

RAEVSKIJ Dmitrij Nikolaevich – scientist, candidate of physical and mathematical sciences, 123242, Moscow, ul. Bolshaya Gruzinskaya 10, stroenie 1. Tel.: (499) 254-51-52. E-mail: nofirma2010@gmail.com

SHEPETILOV Alexey Valerijevich – assistant professor, doctor of physical and mathematical sciences, Department of Physics of Moscow State University. Leninskie Gory, 1, str. 2, Moscow State University, Moscow, Russia, 119991. Tel.: +7(495) 939-39-47. E-mail: avshchepetilov@mail.ru