Hereditary Models of Dynamic Processes in Geospheres

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.