Vol. 63, No. 10, 2023

Computational Mathematics and Mathematical Physics

General Numerical Methods

Grid-Characteristic Numerical Method on an Irregular Grid with Extending the Interpolation Stencil

A. V. Vasyukov and I. E. Smirnov p. 1751 abstract

Boundary and Contact Conditions of Higher Order of Accuracy for Grid-Characteristic Schemes in Acoustic Problems

A. V. Shevchenko and V. I. Golubev p. 1760 abstract

Stability Analysis of Several Time Discrete Schemes for Allen–Cahn and Cahn–Hilliard Equations

Qiaoling He, Junping Yan and Abudurexiti Abuduwaili p. 1773 abstract

Optimal Control

Coordinated Control of Multiple Surface Unmanned Vehicle Clusters under the Influence of Wind Field and Tides

Yanshan Liu, Zhiqing Dang, Zhaopeng Dai, Xinran Hao, Yan Cui and Hongwei Gao p. 1787 abstract

Ordinary Differential Equations

A Novel Uniform Numerical Approach to Solve a Singularly Perturbed Volterra Integro-Differential Equation

M. Cakir and E. Cimen p. 1800 abstract

Dynamics of Chains of Many Oscillators with Unidirectional and Bidirectional Delay Coupling

S. A. Kashchenko p. 1817 abstract

Partial Differential Equations

Determining the Spectrum of Eigenvalues and Eigenfunctions for the Bernoulli–Euler Equation with Variable Coefficients by the Peano Method

D. D. Zakharov and I. S. Nikitin p. 1837 abstract

Existence of a Solution to Lamb’s Initial-Boundary Value Problem with a Limiting Value of Poisson’s Ratio

A. V. Kravtsov p. 1848 abstract

Mathematical Physics

Numerical and Analytical Investigation of Shock Wave Processes in Elastoplastic Media

L. Wang, I. S. Menshov and A. A. Serezhkin p. 1860 abstract

Refined Schemes for Computing the Dynamics of Elastoviscoplastic Media

V. I. Golubev and I. S. Nikitin p. 1874 abstract

Grid Convergence Analysis of Grid-Characteristic Method on Chimera Meshes in Ultrasonic Nondestructive Testing of Railroad Rail

A. A. Kozhemyachenko and A. V. Favorskaya p. 1886 abstract

Simulation of Propagation of Dynamic Perturbations in Porous Media by the Grid-Characteristic Method with Explicit Description of Heterogeneities

I. A. Mitskovets and N. I. Khokhlov p. 1904 abstract

Construction of Solutions and Study of Their Closeness in L₂ for Two Boundary Value Problems for a Model of Multicomponent Suspension Transport in Coastal Systems

V. V. Sidoryakina and A. I. Sukhinov p. 1918 abstract

Informatics

Modeling Epidemics: Neural Network Based on Data and SIR-Model

O. I. Krivorotko, N. Yu. Zyatkov and S. I. Kabanikhin p. 1929 abstract

Mathematical Model of Human Capital Dynamics

N. V. Trusov and A. A. Shananin p. 1942 abstract