A5011006843- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Electromagnetic Simulation and Numerical Methods
- Advanced Numerical Methods in Computational Mathematics
- Nuclear reactor physics and engineering
- Computational Fluid Dynamics and Aerodynamics
- Atomic and Molecular Physics
- Photonic Crystals and Applications
- Nonlinear Waves and Solitons
- Algebraic structures and combinatorial models
- Electromagnetic Scattering and Analysis
- Numerical methods in inverse problems
- advanced mathematical theories
- Atomic and Subatomic Physics Research
- Nuclear Physics and Applications
- Advanced Topics in Algebra
- Plasma Diagnostics and Applications
- Advanced Combustion Engine Technologies
- Laser-induced spectroscopy and plasma
- Cold Atom Physics and Bose-Einstein Condensates
- Quantum, superfluid, helium dynamics
- Iterative Methods for Nonlinear Equations
- Optical Coatings and Gratings
- Aerospace Engineering and Control Systems
- Advanced Mathematical Modeling in Engineering
Lomonosov Moscow State University
2015-2024
Moscow State University
2012-2024
Peoples' Friendship University of Russia
2018-2024
N. I. Lobachevsky State University of Nizhny Novgorod
2016-2024
Nizhny Novgorod State Agricultural Academy
2023
Russian Academy of Sciences
2020-2021
Nuclear Safety Institute
2020-2021
Russian New University
2021
Keldysh Institute of Applied Mathematics
2016-2017
Physical Sciences (United States)
2016
A model of a porous medium with two-phase internal structure introduced by Biot is studied. To analyze boundary-value problems 3-D porouselasticity, new system boundary integral equations constructed. develop boundary-element methodology, method for numerically inverting Laplace transform, Numerical experiments are presented. Key words: novel equations, dynamic porouselasticity.
Modern numerical methods allowing to solve contrast structure problems in the most efficient way are described. These include explicit-implicit Rosenbrock schemes with complex coefficients and fully implicit backward optimal Runge–Kutta schemes. As an integration argument, it is recommended choose length of integral curve arc. This argument provides high reliability calculation sufficiently decreases complexity computations for low-order systems. In order increase efficiency, we propose...
A natural definition of q-deformation Virasoro and superconformal algebras is proposed. New Lie algebraic symmetries are shown to describe the lattice version original theory. On classical (Poisson brackets) level these two-loop be isomorphic Faddeev-Takhtadjan-Volkov algebra.