Contents

Computational Mathematics and Mathematical Physics


Vol. 62, No. 10, 2022


General Numerical Methods

Sequence Transformations in Proofs of Irrationality of Some Fundamental Constants

V. P. Varin p. 1559  abstract

Canonical Angles of Normal Matrices and Theorems of the Wielandt–Hoffman and J.-g. Sun Type

Kh. D. Ikramov p. 1586  abstract

Anisotropic Adaptation of Moving Unstructured Mesh to Bodies of Complex Shapes Described by an Interpolation Octree

T. K. Kozubskaya, L. N. Kudryavtseva and V. O. Tsvetkova p. 1590  abstract


Optimal Control

Convergence of Continuous Analogues of Numerical Methods for Solving Degenerate Optimization Problems and Systems of Nonlinear Equations

Yu. G. Evtushenko and A. A. Tret’yakov p. 1602  abstract


Partial Differential Equations

Local Solvability, Blow-up, and Hölder Regularity of Solutions to Some Cauchy Problems for Nonlinear Plasma Wave Equations: I. Green Formulas

M. O. Korpusov and E. A. Ovsyannikov p. 1609  abstract

Finite Fourier Series in Hyperbolic Initial-Boundary Value Problems for Domains with Curved Boundaries

V. L. Leont’ev p. 1632  abstract

Three-Dimensional Quasiconformal Mappings and Axisymmetric Problems

Yu. D. Shevelev p. 1651  abstract

Existence and Stability of Periodic Solution of Contrast Structure Type in Discontinuous Singularly Perturbed Reaction–Convection–Diffusion Problem

Xiao Wu and Mingkang Ni p. 1664  abstract


Mathematical Physics

Theoretical Analysis and Numerical Implementation of a Stationary Diffusion–Drift Model of Polar Dielectric Charging

R. V. Brizitskii, N. N. Maksimova and A. G. Maslovskaya p. 1680  abstract

Self-Induced Suction of Fluid in a Turbulent Boundary Layer on a Permeable Surface

A. R. Gorbushin, V. B. Zametaev, I. I. Lipatov, M. A. Fedotov and A. A. Khokhlov p. 1691  abstract

Numerical Simulation of Turbulent Flows Based on Modern Turbulence Models

Z. M. Malikov and M. E. Madaliev p. 1707  abstract

Numerical Model of Multiphase Flows Based on Sub-Cell Resolution of Fluid Interfaces

I. S. Menshov and A. A. Serezhkin p. 1723  abstract