Contents

Computational Mathematics and Mathematical Physics

Vol. 65, No. 12, 2025

GENERAL NUMERICAL METHODS

Estimation of the Remainder Term of the Appell Hypergeometric Series F2

S. I. Bezrodnykh and O. V. Dunin-Barkovskaya p. 2795  abstract

GENERAL NUMERICAL METHODS

Product of Toeplitz (Hankel) Matrix and kth-Order Slant Toeplitz Matrix

S. Bensliman, M. Selmani, and O. Khaldi p. 2819  abstract

Painlevé, Heun and the Symmetric Nonsingular Jacobi Polynomials

Dan Wang p. 2824  abstract

OPTIMAL CONTROL

Calculation of Extremals in an Optimal Control Problem with a Higher-Order State Constraint

A. A. Zhukova and D. Yu. Karamzin p. 2838  abstract

OPTIMAL CONTROL

Accelerated Iterative Learning Control Algorithms for Discrete Systems under Random Disturbances

P. V. Pakshin, J. P. Emelianova, and M. A. Emelianov p. 2854  abstract

OPTIMAL CONTROL

Optimal Control of Complex Heat Transfer Equations with Cauchy Boundary Conditions

A. Yu. Chebotarev p. 2870  abstract

ORDINARY DIFFERENTIAL EQUATIONS

Explicit Form of Asymptotic Coefficients in a Reentrant Corner for Conformal Mapping of an L-Shaped Domain

V. I. Vlasov and S. L. Skorokhodov p. 2878  abstract

ORDINARY DIFFERENTIAL EQUATION

A Computable Stability Criterion for Linear Delay Difference Systems

Guang-Da Hu p. 2891  abstract

Mathematical Analysis of Stochastic Solitons in the Kaup–Newell Equation for Birefringent Fibers

Volkan Ala p. 2899  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Construction of Harmonic Mapping for a Class of Domains with Curved Boundaries by Applying the Multipole Method

A. O. Bagapsh and V. I. Vlasov p. 2918  abstract

ORDINARY DIFFERENTIAL EQUATION

Construction of Barriers for Singularly Perturbed Parabolic Problems with Cubic Nonlinearities, Taking into Account the Inflection Point

A. I. Denisov and I. V. Denisov p. 2928  abstract

The Existence and Stability of Periodic Solutions for Right-End Discontinuous Singularly Perturbed Reaction-Diffusion Problems with Multiple Roots of Degenerate Equations

Xin Shuai and Mingkang Ni p. 2938  abstract

MATHEMATICAL PHYSICS

Particle-In-Cell Method and Smoothness-Losing Solutions

E. V. Chizhonkov p. 2959  abstract

Surface Charge Density of a Conducting Ellipsoid in a Coaxial Electric Field

A. O. Savchenko p. 2972  abstract

On Approximate Solutions of Magnetic Field Boundary Value Problems by the Method of a System of Integral Equations

E. H. Khalilov p. 2979  abstract

An Algorithm for Calculating Nonlinear Wave Processes in a Microwave Generator with Magnetic Insulation in the Three-Dimensional Case

S. V. Polyakov, N. I. Tarasov, and T. A. Kudryashova p. 2994  abstract

MATHEMATICAL PHYSICS

Solving Fredholm Integro-Differential Equations Using Hybrid and Block-Pulse Functions

A. Hosry, R. Nakad, and S. Bhalekar p. 3004  abstract

MATHEMATICAL PHYSICS

On the Acoustic Radiation from a Partially Lined and Perforated Semi-Infinite Duct

B. Tiryakioglu p. 3014  abstract