Nonlinear partial differential equations. Homogenization. Numerical methods. Integral equations.
Main publications:
Amosov A.A. and Zlotnik A.A., “A study of finite-difference method for one-dimensional viscous heat conductive gas flow equation. Part I: A priori estimates and stability”, Sov. J. Numer. Anal. Math. Modelling, 2:3 (1987), 159–178
Amosov A.A., Dubinskii Ju.A., Kopchenova N.V., Computational Methods for Engineers, Vystshaja Shkola, Moscow, 1994; Second edition, MPEI, Moscow, 2003; Third edition, MPEI Publisher House, Moscow, 2008
Amosov A.A. and Zlotnik A.A., “An error estimate of quasi-averaging of the equations of motion of a viscous barotropic medium with rapidly oscillating data”, Comp. Maths. Math. Phys., 36:10 (1996), 1415–1428
Amosov A.A., “The existence of global generalised solutions of the equations of one-dimensional motion of a real gas with discontinuous data”, Differential Equations, 36:4 (2000), 540–558
Amosov A.A., “Global solvability of a nonlinear nonstationary problem with a nonlocal boundary value condition of radiative heat transfer type”, Differential Equations, 41:1 (2005), 96–109
