Lyudmila Alexeyeva

Institute of Mathematics and Mathematical Modeling

Lyudmila Alexeyeva (born in 1947, Kaliningrad, Russia), Doctor of physical and mathematical sciences, professor, academician of International Eurasian Academy of Sciences, graduated with honors from the Mechanics and Mathematics Faculty of M.V. Lomonosov Moscow State University (Russia). Then she worked at the Institute of Mathematics and Mechanics of Academy of Sciences (Kazakhstan, Alma-Ata) in the laboratory of theory of seismic resistance of underground structures (1973-1991). From 1992 to the present day, she has run the Wave Dynamics Laboratory of Institute of Mathematics and Mathematical Modeling. From 2011 to 2018, she worked as the Head of Department of Mathematical Physics and Modeling in this institute. Concurrently, she worked as a Professor at al-Farabi Kazakh National University at Mechanics and Mathematics Faculty. She has authored 5 monographs and over 300 scientific publications. Five doctoral and 14 candidate dissertations were defended under her supervision. For her active scientific work, she was awarded the State Scholarship for outstanding contribution to development of science and technology (four times), and a medal for labor valor.

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The main content of this book is related to construction of analytical solutions of differential equations and systems of mathematical physics, to development of analytical methods for solving boundary value problems for such equations and the study of properties of their solutions. A wide class of equations (elliptic, parabolic, and hyperbolic) is considered here, on the basis of which complex wave processes in biological and physical media can be simulated.The method of generalized functions presented in the book for solving boundary value problems of mathematical physics is universal for constructing solutions of boundary value problems for systems of linear differential equations with constant coefficients of any type. In the last sections of the book, the issues of calculating functions based on Padé approximations, binomial expansions, and fractal representations are considered. The book is intended for specialists in the field of mathematical and theoretical physics, mechanics and biophysics, students of mechanics, mathematics, physics and biology departments of higher educational institutions.

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