Persons: Tvyordyj D A

Speciality: 05.13.18 (Mathematical modeling, numerical methods, and the program systems)
Birth date: 21.09.1994
Phone: +79955260101
Keywords: Mathematical modelling; Fractional Calculus; Parallel algorithms;
UDC: , 550.3, 550.34.013.4, 519.6, 519.642.2, 519.687.1, 517.972.7
MSC: , 93A30, 26A33, 34A34, 49N45, 86A22, 65Y05, 65M06, 78A40,

Subject:

Applied Mathematics; Mathematical modelling; Mathematical Physics; Dynamic systems; Fractional Calculus; Numerical methods; Earthquake precursors; Radon precursors; Computational Electromagnetics; Numerical Methods; Software Engineering; Parallel algorithms.

Main publications:

D. A. Tverdyi, R. I. Parovik, “Investigation of Finite-Difference Schemes for the Numerical Solution of a Fractional Nonlinear Equation”, Fractal and Fractional, 6:1 (2022), 23 $https://doi.org/10.3390/fractalfract6010023$
D. A. Tverdyi, R. I. Parovik, “Application of the Fractional Riccati Equation for Mathematical Modeling of Dynamic Processes with Saturation and Memory Effect”, Fractal and Fractional, 6:3 (2022), 163 $https://doi.org/10.3390/fractalfract6030163$
D. A. Tverdyi, E. O. Makarov, R. I. Parovik, “Hereditary Mathematical Model of the Dynamics of Radon Accumulation in the Accumulation Chamber”, Mathematics, 11:4 (2023), 850
D. A. Tverdyi, R. I. Parovik, “Hybrid GPU–CPU Efficient Implementation of a Parallel Numerical Algorithm for Solving the Cauchy Problem for a Nonlinear Differential Riccati Equation of Fractional Variable Order”, Mathematics, 11:15 (2023), 3358
D. A. Tverdyi, R. I. Parovik, E. O. Makarov, “Estimation of radon flux density changes in temporal vicinity of the Shipunskoe earthquake with $M_w=7.0$, 17 August 2024 with the use of the hereditary mathematical model”, Geosciences, 15:1 (2025), 30

Publications in Math-Net.Ru

Talks and lectures

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