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020 _a9783031701146
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024 7 _a10.1007/978-3-031-70114-6
_2doi
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072 7 _aPB
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072 7 _aMAT000000
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072 7 _aPB
_2thema
245 1 0 _aHereditary Models of Dynamic Processes in Geospheres
_h[electronic resource] /
_cedited by Roman Parovik, Rakhimjon Temirbekovich Zunnunov.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXV, 231 p. 98 illus., 71 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
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490 1 _aMathematics of Planet Earth,
_x2524-4272 ;
_v12
505 0 _aLow-mode hereditary model of a geodynamo driven by 6-cellconvection -- Two-mode hereditary α2ω-dynamo model -- Hereditarian Properties of Foreshock Distributions in the Framework of aFractional Model of the Deformation Process -- Mathematical model of the formation of geoacoustic emissionzones in the elastic approximation of the medium.
520 _aThe book is aimed at developing and analyzing fundamentally new mathematical models of dynamic processes in the Earth’s geospheres, taking into account heredity, in order to detect (predict) natural and manmade threats. It is known that many natural, technical and social systems are characterized by the property of heredity (heredity or memory), when the actual dynamic characteristics of the system are determined by its entire prehistory. Mathematical formalization of such properties in mathematical models is usually ensured by the introduction of integral terms (memory functionals) with difference kernels. Therefore, taking intoaccount the effects of heredity in dynamic processes and systems also determines the relevance of the study. The topic is devoted to the study of various dynamic processes in geospheres using mathematical modeling. Dynamic processes discussed in the book: geomagnetic dynamo, geoacoustic emission, microseismic vibrations, deformation processes, solar activity, seismic activity, processes of transfer and accumulation of radon concentration. The book was the first to examine some dynamic processes that have hereditary effects. Research methods are based on the following sections of mathematics: mathematical and functional analysis, equations of mathematical physics, differential equations and their systems, integro-differential equations, fractional calculus, vector analysis, computational mathematics, numerical methods. Also, methods of object-oriented programming, parallel programming. It should be noted that the research used the principle of the model-algorithm-program triad. Therefore, one of the chapters of the book is devoted to computational algorithms with the possibility of parallelization. The reader will become familiar with new models of geodynamic processes with heredity and approaches to their study. The presented numerical algorithms can be reproduced or applied to other similar processes. The book will provide comprehensive information about the processes being studied and methods of their research, all necessary references will be provided, including those defining the current state of affairs in this issue.
650 0 _aMathematics.
_965523
650 0 _aEarth sciences.
_965010
650 0 _aGeography.
_962292
650 1 4 _aMathematics.
_965523
650 2 4 _aEarth and Environmental Sciences.
_967852
700 1 _aParovik, Roman.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_988455
700 1 _aZunnunov, Rakhimjon Temirbekovich.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_988456
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031701139
776 0 8 _iPrinted edition:
_z9783031701153
776 0 8 _iPrinted edition:
_z9783031701160
830 0 _aMathematics of Planet Earth,
_x2524-4272 ;
_v12
_988457
856 4 0 _uhttps://doi.org/10.1007/978-3-031-70114-6
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c65431
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