Speciality:
05.13.18 (Mathematical modelling, calculating methods, and the program systems)
E-mail: Keywords: Approximations of functions with singularities; methods without saturation; rational approximations; quadrature and cubature formulas;
collocation methods; spectral methods; evolution of singularities of solutions to differential equations in complex plain; mesoscopic models of dynamics of polymer systems; Poiseuille-type flows; laminar-turbulent transitions; wave turbulence; integro-differential kinetic equations.
UDC: 519.615.5, 621.382.2
Subject:
Approximation of functions, their integrals and derivatives; polynomial and rational approximations, approximations without saturation.
Approximate solution of non-linear boundary-value and initial problems for partial differential equations; relaxation method; collocation method; spectral methods. Analysis of singularities of solution in complex plain.
Wave turbulence; modelling of wave interactions in non-linear physical systems. Methods for solving kinetic integro-differential equations.
Main publications:
Ying Zhu, Boris Semisalov, Giorgio Krstulovic, and Sergey Nazarenko, “Direct and Inverse Cascades in Turbulent Bose-Einstein Condensates”, Phys. Rev. Lett., 130:133001 (2023)
