Contents

Computational Mathematics and Mathematical Physics


Vol. 61, No. 2, 2021


General Numerical Methods

Non-Polynomial Interpolation of Functions with Large Gradients and Its Application

A. I. Zadorin and N. A. Zadorin p. 167  abstract


Optimal Control

Multimethod Algorithms for Solving Complicated Optimal Control Problems

A. I. Tyatyushkin p. 177  abstract


Partial Differential Equations

Decomposition of the Solution to a Two-Dimensional Singularly Perturbed Convection–Diffusion Equation with Variable Coefficients in a Square and Estimates in Hölder Norms

V. B. Andreev and I. G. Belukhina p. 194  abstract

Approximation of Weak Solutions of the Laplace Equation by Harmonic Polynomials

M. E. Bogovskii p. 205  abstract


Mathematical Physics

Optimization-Based Numerical Analysis of Three-Dimensional Magnetic Cloaking Problems

G. V. Alekseev and Yu. E. Spivak p. 212  abstract

Analytical Investigation of the Chaotic Dynamics of a Two-Dimensional Lotka–Volterra System with a Seasonality Factor

Yu. V. Bibik p. 226  abstract

Corner Boundary Layer in Boundary Value Problems for Singularly Perturbed Parabolic Equations with Cubic Nonlinearities

I. V. Denisov p. 242  abstract

Simulation of the Laminar–Turbulent Transition by Applying Dissipative Numerical Schemes

I. V. Egorov, N. C. Nguyen, T. S. Nguyen and P. V. Chuvakhov p. 254  abstract

Numerical Simulation of Unsteady Subsonic Viscous Gas Flows Based on High-Order Composite Compact Schemes

A. D. Savel’ev p. 267  abstract

Inverse Problem for Equations of Complex Heat Transfer with Fresnel Matching Conditions

A. Yu. Chebotarev p. 288  abstract


Information Science

Numerical Methods for the Resource Allocation Problem in a Computer Network

E. A. Vorontsova, A. V. Gasnikov, P. E. Dvurechensky, A. S. Ivanova and D. A. Pasechnyuk p. 297  abstract

On the Upper Bound of the Complexity of Sorting

I. S. Sergeev p. 329  abstract