Contents

Computational Mathematics and Mathematical Physics

Vol. 63, No. 2, 2023

General Numerical Methods

A Unified Analysis of Variational Inequality Methods: Variance Reduction, Sampling, Quantization, and Coordinate Descent

A. N. Beznosikov, A. V. Gasnikov, K. E. Zainullina, A. Yu. Maslovskii and D. A. Pasechnyuk p. 147  abstract

Analysis of Numerical Differential Formulas on a Bakhvalov Mesh in the Presence of a Boundary Layer

A. I. Zadorin p. 175  abstract

On the Simultaneous Reduction of a Pair of Unitoid Matrices to Diagonal Form

Kh. D. Ikramov p. 184  abstract

Improved Quadrature Formula for a Single-Layer Potential

P. A. Krutitskii and I. O. Reznichenko p. 187  abstract

Ordinary Differential Equations

Singular Nonlinear Problems for Phase Trajectories of Some Self-Similar Solutions of Boundary Layer Equations: Correct Formulation, Analysis, and Calculations

N. B. Konyukhova and S. V. Kurochkin p. 202  abstract

A Class of Singularly Perturbed Equations with Discontinuous Right-Hand Side in the Critical Case

Shitao Liu and Mingkang Ni p. 218  abstract

Partial Differential Equations

On Approximate Solution of One Class of Singular Integro-Differential Equations

N. S. Gabbasov p. 231  abstract

Asymptotics of the Solution to the Cauchy Problem for a Singularly Perturbed Operator Differential Transport Equation with Weak Diffusion

A. V. Zaborskii and A. V. Nesterov p. 241  abstract

Local Solvability, Blow-up, and Hölder Regularity of Solutions to Some Cauchy Problems for Nonlinear Plasma Wave Equations: II. Potential Theory

M. O. Korpusov and E. A. Ovsyannikov p. 250  abstract

Mathematical Physics

Reynolds Analogy Coefficient in the Longitudinal Cylindrical Couette Problem: from the Continuous Medium to Free Molecular Flow

A. A. Abramov, V. Yu. Aleksandrov and A. V. Butkovskii p. 285  abstract

Memory Response on Thermoelastic Behavior with Temperature Dependent Material Moduli under Mechanical Strip Load

Aktar Seikh, S. Shaw and S. Pal (Sarkar) p. 295  abstract

On Stability of an Approximate Solution of the Cauchy Problem for Some First-Order Integrodifferential Equations

P. N. Vabishchevich p. 311  abstract

Solution of the Boltzmann Equation in the Continuum Flow Regime

F. G. Tcheremissine p. 319  abstract