Contents

Computational Mathematics and Mathematical Physics

Vol. 65, No. 11, 2025

GENERAL NUMERICAL METHODS

Polynomial Curve Fitting for Data with Interval Uncertainty

S. P. Shary and A. S. Androsov p. 2511  abstract

A Note on the Crank–Nicolson Difference Scheme for the Numerical Solution of Stochastic Parabolic Equation

A. Ashyralyev, U. Okur, and C. Ashyralyyev p. 2528  abstract

GENERAL NUMERICAL METHODS

Multipole Method for Solving the Zaremba Problem in Complex Domains and Its Application to Constructing a Conformal Mapping

A. O. Bagapsh and V. I. Vlasov p. 2546  abstract

Order-Optimal Numerical Methods for Solving Singular Integro-Differential Equations

N. S. Gabbasov p. 2556  abstract

GENERAL NUMERICAL METHODS

Estimation of the Spectral Radius of the Jacobian Matrix in Explicit Stabilized Runge–Kutta Methods

L. M. Skvortsov p. 2567  abstract

OPTIMAL CONTROL

On Regularization of the Lagrange Principle in a Nonlinear Optimal Control Problem of the Goursat–Darboux System with a Pointwise State Equality Constraint

M. I. Sumin p. 2580  abstract

Optimal Feedback Control for an Operator Equation of the Second Kind

A. V. Chernov p. 2603  abstract

ORDINARY DIFFERENTIAL EQUATION

Algorithms for Solving Two-Center Coulomb Problem

H. L. Luong, A. I. Muratova, O. O. Kovalev, A. A. Gusev, V. L. Derbov, and S. I. Vinitsky p. 2618  abstract

PARTIAL DIFFERENTIAL EQUATIONS

On the Poincaré–Steklov Operator for an Incompressible Elastic Strip

A. A. Bobylev p. 2636  abstract

Solution Blow-Up and Global Solvability of the Cauchy Problem for the Nonlinear Timoshenko Equation for Bending Oscillations of a Beam

Kh. G. Umarov p. 2652  abstract

MATHEMATICAL PHYSICS

Heat and Mass Transfer in Inclined Porous Cavities: A Study of Oxytactic Microorganism Distribution

R. Alluguvelli, C. S. Balla, C. Vijender, G. Deepa, P. Suresh, B. Nagaraju, J. V. Tawade, and G. Murali p. 2672  abstract

Validity of the H-Theorem for the S-Model Kinetic Equation

V. V. Aristov, S. A. Zabelok, and O. A. Rogozin p. 2682  abstract

MATHEMATICAL PHYSICS

Viscous Flow through a Stationary Near-Wall Granular Layer in the Form of an Infinite Rectangular Barrier

O. B. Gus’kov p. 2691  abstract

MATHEMATICAL PHYSICS

Separation of a Mixture of Gases with Similar Molecular Masses Based on the Radiometric Effect

I. M. Zhikharev, F. G. Tcheremissine, and Yu. Yu. Kloss p. 2703  abstract

MATHEMATICAL PHYSICS

Lattice Boltzmann Equations Based on Shakov’s Model and Applications to Modeling Rarefied Poiseuille Flow with a High Subsonic Velocity

O. V. Ilyin p. 2714  abstract

Application of Global Adaptive Velocity Mesh for Reducing Oscillations Caused by the “Ray Effect”

A. A. Frolova p. 2726  abstract

MATHEMATICAL PHYSICS

Grid-Characteristic Method with Implicit Schemes and Contact Conditions at Material Interface

E. A. Pesnya, I. B. Petrov, and A. V. Favorskaya p. 2738  abstract

MATHEMATICAL PHYSICS

Deformation of an Impervious Poroelastic Half-Space under Normal Circular Loading

S. Attri and S. Rani p. 2753  abstract

MATHEMATICAL PHYSICS

Numerical and Analytical Comparison of the Fingering Phenomenon in the Hele-Shaw Cell

Saeed Derakhshan and Ataallah Kamyabi p. 2771  abstract

MATHEMATICAL PHYSICS

Simulation of Flow in Lid-Driven Rectangular Cavity by Using Lattice Boltzmann Method

Xiuqiao Xiang, Baochang Shi, Jianga Shang, Yishi Zhao, and Xinyou Cui p. 2782  abstract