Contents

Computational Mathematics and Mathematical Physics


Vol. 65, No. 10, 2025


GENERAL NUMERICAL METHODS

A Simplified Non-Equilibrium Splitting Preconditioner for Three-by-Three Block Saddle Point Problems

Jun Li, Lingsheng Meng, Xiangtuan Xiong, and Nengzhi Jin p. 2287  abstract


OPTIMAL CONTROL

Lorenz Majorization and Pigou–Dalton Transfers in the Ramsey–Bewley Model

G. S. Parastaev and A. A. Shananin p. 2299  abstract

On Constructing a Gradient Quadratic Optimization Method that is Optimal in Terms of Distance to the Exact Solution

N. V. Pletnev p. 2317  abstract


OPTIMAL CONTROL

An Adaptive Stochastic Gradient Algorithm Based on FISTA for Convex Optimization

Yujia Zhai, Dan Xue, Rulei Qi, and Zewei Wang p. 2342  abstract


ORDINARY DIFFERENTIAL EQUATION

Localization of Movable Singularities of the Blasius Equation

V. P. Varin p. 2362  abstract


PARTIAL DIFFERENTIAL EQUATIONS

On the First Initial-Boundary Value Problem for Parabolic Systems in a Bounded Domain with Curvilinear Lateral Boundaries

E. A. Baderko and K. D. Fedorov p. 2376  abstract

Solvability of a Boundary Value Problem for the Stationary Magnetohydrodynamics–Boussinesq Model with Variable Leading Coefficients

G. V. Alekseev and A. V. Lobanov p. 2390  abstract

Localization of Waves and Their Stopping Zones in a Thin-Walled Hollow Quantum Waveguide with Periodic Cross-Walls

S. A. Nazarov p. 2406  abstract


PARTIAL DIFFERENTIAL EQUATIONS

A High-Order Accurate Scheme for 2D Fractional Mixed Diffusion and Diffusion-Wave Equation

Wenjing An, Leilei Wei, Xindong Zhang, and Peng Li p. 2425  abstract

Soliton Solutions, Resonance Solitons, and Some Novel Hybrid Interaction Solutions for a (3+1)-Dimensional BKP Equation in Nonlinear Optics

Jie Huang and Lianzhong Li p. 2439  abstract


MATHEMATICAL PHYSICS

Turbulent Poiseuille Flow in a Circular Pipe as Superposition of a Steady-State Solution and Perturbations

V. B. Zametaev and S. L. Skorokhodov p. 2456  abstract


MATHEMATICAL PHYSICS

Two-Dimensional Modification of Godunov’s Method of the Fourth Order in Space and the Third Order in Time

E. I. Vasilev and G. A. Ionov p. 2470  abstract


MATHEMATICAL PHYSICS

On the Approximation of the Gravitational Field of a Small Celestial Body by the Attractive Field of an Equimomental Quadruple of Material Points

E. A. Nikonova p. 2486  abstract

Numerical Method for Solving the Microwave Tomography Problem of Reconstructing Inhomogeneities in a Cylindrical Body

Yu. G. Smirnov, M. Yu. Medvedik, and V. Yu. Martynova p. 2497  abstract