Contents

Computational Mathematics and Mathematical Physics

Vol. 64, No. 7, 2024

GENERAL NUMERICAL METHODS

Difference Operator Approximations on Nonstandard Rectangular Grid

P. N. Vabishchevich p. 1367  abstract

GENERAL NUMERICAL METHODS

Regularization of the Solution to Degenerate Systems of Algebraic Equations Exemplified by Identification of the Virial Equation of State of a Real Gas

A. G. Vikulov p. 1381  abstract

GENERAL NUMERICAL METHODS

The MDM Algorithm and the Sylvester Problem

V. N. Malozemov, N. A. Solov’eva, and G. Sh. Tamasyan p. 1396  abstract

GENERAL NUMERICAL METHODS

New Classes of Solutions of the σ-Commutation Problem (\(\sigma \ne 0,\; \pm 1\)) for Toeplitz and Hankel Matrices within a Unified Approach

V. N. Chugunov, and Kh. D. Ikramov p. 1413  abstract

GENERAL NUMERICAL METHODS

Complex Narayana Quaternions

Çağla Çelemoğlu p. 1431  abstract

OPTIMAL CONTROL

Approximation of Optimal Control Problems for Semilinear Elliptic Convection–Diffusion Equations with Boundary Observation of the Conormal Derivative and with Controls in Coefficients of the Convective Transport Operator and in Nonlinear Term of the Equation

F. V. Lubyshev, and M. E. Fairuzov p. 1443  abstract

ORDINARY DIFFERENTIAL EQUATIONS

Application of Universal Fast Trigonometric Interpolation and Extrapolation for Determining the Launch Point Coordinates of a Flight Vehicle

A. D. Chernyshov, O. Yu. Nikiforova, V. V. Goryainov, and I. G. Rukin p. 1461  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Dualism in the Theory of Soliton Solutions

L. A. Beklaryan, and A. L. Beklaryan p. 1472  abstract

Generalization of the Method of Scattering Matrices to Problems in Nonlinear Dispersion Media

A. A. Belov, and Zh. O. Dombrovskaya p. 1491  abstract

PARTIAL DIFFERENTIAL EQUATIONS

On the Uniform Convergence of Approximations to the Tangential and Normal Derivatives of the Single-Layer Potential Near the Boundary of a Two-Dimensional Domain

D. Yu. Ivanov p. 1504  abstract

PARTIAL DIFFERENTIAL EQUATIONS

On the Uniqueness of Determining the Mesh Fundamental Solution of Laplace’s Equation in the Theory of Discrete Potential

I. E. Stepanova, I. I. Kolotov, A. G. Yagola, and A. N. Levashov p. 1523  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Numerical Solution of the Vlasov–Ampère Equations

E. V. Chizhonkov p. 1537  abstract

Hamiltonian System for Three-Dimensional Problem of Two-Dimensional Decagonal Piezoelectric Quasicrystals and Its Symplectic Analytical Solutions

Zhiqiang Sun, Guolin Hou, Yanfen Qiao, and Jincun Liu p. 1549  abstract

MATHEMATICAL PHYSICS

KP1-Scheme for Acceleration of Upscatter Iterations over the Neutron Thermalization Region and the Fission Source in Solving a Subcritical Boundary Value Problem

A. M. Voloshchenko p. 1564  abstract

MATHEMATICAL PHYSICS

Comparative Analysis of the Influence of Surface Quantum Effects on Optical Characteristics of Alkali and Noble Metallic Nanoparticles

Yu. A. Eremin, and V. V. Lopushenko p. 1587  abstract

Numerical Diagnostics of Solution Blow-Up in a Thermoelectric Semiconductor Model

M. O. Korpusov, R. S. Shafir, and A. K. Matveeva p. 1595  abstract

Application of Weighting Direct Simulation Monte Carlo Schemes to Weakly Ionized Rarefied Gas Flows

A. A. Shevyrin, and Ye. A. Bondar p. 1603  abstract

The Solution Comparison of Fractional Heat Transfer and Porous Media Equations Using Analytical Techniques

M. Arshad, S. Khan, M. Sohail, H. Khan, F. Tchier, M. K. Haidary, and M. Nadeem p. 1614  abstract

A Mixed Finite Element Approximation for Fluid Flows of Mixed Regimes in Porous Media

J. Cummings, M. Hamilton, and T. Kieu p. 1631  abstract