Contents

Computational Mathematics and Mathematical Physics


Vol. 64, No. 11, 2024


GENERAL NUMERICAL METHODS

Multipole Method for Some Mixed Boundary Value Problems and Its Application to Conformal Mapping

A. O. Bagapsh, and V. I. Vlasov p. 2473  abstract


GENERAL NUMERICAL METHODS

Numerical-Analytical Method for Nonlinear Equations of Kolmogorov–Petrovskii–Piskunov Type

S. I. Bezrodnykh, and S. V. Pikulin p. 2484  abstract

Product of Rectangular Toeplitz (Hankel) Matrices

S. Bensliman, A. Yagoub, and K. Toumache p. 2510  abstract


GENERAL NUMERICAL METHODS

High-Order Energy-Preserving Compact Difference Schemes for the Improved Boussinesq Equation

J. L. Yan, L. H. Zheng, C. Zeng, and L. Zhu p. 2523  abstract


OPTIMAL CONTROL

Optimization Approach to Determining the Velocity Field in Image Processing Problems

E. D. Kotina, D. A. Ovsyannikov, and D. S. Kharchenko p. 2549  abstract


OPTIMAL CONTROL

A Review on 2-D Supersonic Aerofoil Shape Optimization

P. Vijayaparkavan, K. Anton Savio Lewise, and R. Ajith Raj p. 2559  abstract


ORDINARY DIFFERENTIAL EQUATIONS

To the Study of Various Representations of Solutions of Quasi-Differential Equations in the Form of Sums of Series and Some of Their Applications

M. Yu. Vatolkin p. 2571  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Dualism in the Theory of Soliton Solutions II

L. A. Beklaryan p. 2588  abstract

Singular Part of the Electromagnetic Field in Problems of Diffraction by Bodies with Edges for Different Types of Boundary Conditions

A. N. Bogolyubov, I. E. Mogilevskiy, and M. M. Shusharin p. 2611  abstract

Mathematical Theory of the Expanding Universe Based on the Principle of Least Action

V. V. Vedenyapin p. 2624  abstract

Integral Representation of Solutions and Riemann–Hilbert Type Problem for the Cauchy–Riemann Equation with Strong Singularity in the Lower Order Coefficient in a Domain with Piecewise Smooth Boundary

A. B. Rasulov, and N. V. Yakivchik p. 2643  abstract

On Stationary Waves on the Surface of a Finite-Depth Ideal Fluid: Stokes’ Second Method

A. I. Rudenko p. 2655  abstract

Analogue of Poisson’s Formula for the Solution of the Helmholtz Equation

A. O. Savchenko p. 2666  abstract


MATHEMATICAL PHYSICS

Investigation of Stability of Supersonic Solitary Waves in an Elastic Electrically Conductive Micropolar Material

I. B. Bakholdin p. 2672  abstract

Application of the Conjugate Gradient Method for Solving Unilateral Discrete Contact Problems for an Elastic Half-Space

A. A. Bobylev p. 2680  abstract


GENERAL NUMERICAL METHODS

Iterative Numerical Methods for Solving the Problem of Determining the Coefficient in the Sorption Dynamics Model

A. M. Denisov, and Dongqin Zhu p. 2696  abstract


MATHEMATICAL PHYSICS

Optimization of a Numerical-Statistical Algorithm for Estimating the Mean Particle Flow in a Bounded Random Medium with Multiplication

G. Z. Lotova, G. A. Mikhailov, and S. A. Rozhenko p. 2705  abstract


MATHEMATICAL PHYSICS

On Maxwell’s Representation of MacCullagh’s Formula: A Way to Determine the Principal Axes of Inertia for a Rigid Body via its Multipole of the Second Order

E. A. Nikonova p. 2716  abstract


INFORMATION SCIENCE

Accelerated Algorithms for Growing Segments from Image Regions

D. M. Murashov p. 2722  abstract


Erratum

Erratum to: On the Construction of an Optimal Network of Observation Points when Solving Inverse Linear Problems of Gravimetry and Magnetometry

I. E. Stepanova, D. V. Lukyanenko, I. I. Kolotov, A. V. Shchepetilov, A. G. Yagola, and A. N. Levashov p. 2736  abstract