Contents

Computational Mathematics and Mathematical Physics

Vol. 62, No. 7, 2022

General Numerical Methods

Splitting Schemes for One Class of Operator Differential Equations

P. N. Vabishchevich p. 1033  abstract

Nonlinear Finite Volume Method for the Interface Advection-Compression Problem on Unstructured Adaptive Meshes

Yu. V. Vassilevski and K. M. Terekhov p. 1041  abstract

Summation of Poincaré Theta Series in the Schottky Model

S. Yu. Lyamaev p. 1059  abstract

Partial Differential Equations

On the Global Solvability of a Boundary Value Problem for the Equations of a Viscous Heat-Conducting Gas under the Radiative Transfer Conditions

E. V. Amosova p. 1074  abstract

Schwarz Problem for J-Analytic Functions in an Ellipse

V. G. Nikolaev p. 1089  abstract

Nonlinear Schrödinger Equation and the Hyperbolization Method

A. D. Yunakovsky p. 1112  abstract

Mathematical Physics

Stationary and Oscillating Solutions of the Ionization Equations

M. B. Gavrikov and A. A. Tayurskii p. 1131  abstract

Modeling of Three-Dimensional Potential Fluid Flow in a Time-Varying Domain

V. A. Galkin and A. O. Dubovik p. 1152  abstract

Rapidly Convergent Series for Solving the Electrovortex Flow Problem in a Hemispherical Vessel

K. Yu. Malyshev, E. A. Mikhailov and I. O. Teplyakov p. 1158  abstract

Discrete-Analytical Difference Scheme for Solving the Nonstationary Particle Transport Equation by the Splitting Method

N. Ya. Moiseev and V. M. Shmakov p. 1171  abstract

Excitation and Development of Instability in a Compressible Boundary Layer as Obtained in High-Order Accurate Numerical Simulation without Introducing Artificial Perturbations

A. I. Tolstykh and D. A. Shirobokov p. 1180  abstract

A Difference Scheme of the Decomposition Method for an Initial Boundary Value Problem for the Singularly Perturbed Transport Equation

G. I. Shishkin and L. P. Shishkina p. 1193  abstract