recovery of functions,
discretization of solutions of partial differential equations,
wave equation,
anisotropic Sobolev classes.
Subject:
recovery of functions, discretization of solutions of partial differential equations
Main publications:
Sh. Abikenova, A. Utesov, N. Temirgaliev, “On the discretization of solutions of the wave equation with initial conditions from generalized Sobolev classes”, Mathematical Notes, 91:3 (2012), 430–434
A. B. Utesov, “Optimal Recovery of Functions from Numerical Information on Them and Limiting Error of the Optimal Computing Unit”, Mat. Zametki, 111:5 (2022), 752–761; Math. Notes, 111:5 (2022), 759–767
2018
2.
A. B. Utesov, À. Ò. Abdykulov, “The complete C(N)D-solution of the problem recovery of functions from anisotropic Sobolev classes by their unexact trigonometric Fourier coefficients”, BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 122:1 (2018), 90–98
2012
3.
Sh. K. Abikenova, A. Utesov, N. Temirgaliev, “On the Discretization of Solutions of the Wave Equation with Initial Conditions from Generalized Sobolev Classes”, Mat. Zametki, 91:3 (2012), 459–463; Math. Notes, 91:3 (2012), 430–434