Contents

Computational Mathematics and Mathematical Physics


Vol. 61, No. 11, 2021


General Numerical Methods

Comparison of Dissipation and Dispersion Properties of Compact Difference Schemes for the Numerical Solution of the Advection Equation

E. N. Aristova and G. O. Astafurov p. 1711  abstract

Accuracy of Bicompact Schemes in the Problem of Taylor–Green Vortex Decay

M. D. Bragin and B. V. Rogov p. 1723  abstract

On the Set of Matrices Having Jn(1) as the Cosquare

Khakim D. Ikramov p. 1743  abstract

Iterative Preconditioned Methods in Krylov Spaces: Trends of the 21st Century

V. P. Il’in p. 1750  abstract


Optimal Control

The Gradient Projection Method with Armijo’s Step Size on Manifolds

M. V. Balashov and R. A. Kamalov p. 1776  abstract


Partial Differential Equations

Numerical Solution of Integral-Algebraic Equations with a Weak Boundary Singularity by k-step Methods

M. N. Botoroeva, O. S. Budnikova, M. V. Bulatov and S. S. Orlov p. 1787  abstract

Unsteady Heat Conduction Problem for a Plane with a Crack at the Interface between Two Inhomogeneous Materials

A. V. Glushko and E. A. Loginova p. 1800  abstract

Existence and Stability of the Solution to a System of Two Nonlinear Diffusion Equations in a Medium with Discontinuous Characteristics

N. T. Levashova and B. V. Tishchenko p. 1811  abstract


Mathematical Physics

Analytical Solution for the Cavitating Flow over a Wedge. II

V. I. Vlasov and S. L. Skorokhodov p. 1834  abstract

Corner Boundary Layer in Boundary Value Problems with Nonlinearities Having Stationary Points

I. V. Denisov p. 1855  abstract

Statement of the Beamforming Problem and a Method of Its Solution for the Localization of an Acoustic Source Based on Computational Experiment Data

T. K. Kozubskaya, G. M. Plaksin and I. L. Sofronov p. 1864  abstract

Nonlinear Equations of the Theory of Ion-Sound Plasma Waves

M. O. Korpusov p. 1886  abstract

Hydrodynamic Flows in Heated Pipes with Boundary Layer Computed Using the BGK Model

E. A. Zabrodina, O. V. Nikolaeva, N. N. Fimin and V. M. Chechetkin p. 1895  abstract