Vol. 62, No. 4, 2022

Computational Mathematics and Mathematical Physics

General Numerical Methods

H-, P-, and HP-Versions of the Least-Squares Collocation Method for Solving Boundary Value Problems for Biharmonic Equation in Irregular Domains and Their Applications

V. A. Belyaev, L. S. Bryndin, S. K. Golushko, B. V. Semisalov and V. P. Shapeev p. 517 abstract

Common Structure of Reduced Bases for Aggregation Kinetics Problems of Varying Dimensionality

S. A. Matveev, A. P. Smirnov, I. V. Timokhin and E. E. Tyrtyshnikov p. 538 abstract

Substantiation of a Quadrature-Difference Method for Solving Integro-Differential Equations with Derivatives of Variable Order

A. I. Fedotov p. 548 abstract

On Uniform Monotone Approximation of Continuous Monotone Functions with the Help of Translations and Dilations of the Laplace Integral

A. V. Chernov p. 564 abstract

Optimal Control

Primal–Dual Newton Method with Steepest Descent for the Linear Semidefinite Programming Problem: Iterative Process

V. G. Zhadan p. 581 abstract

Partial Differential Equations

On a Boundary Problem for a Fourth-Order Elliptic Equation on a Plane

A. P. Soldatov p. 599 abstract

Mathematical Physics

Influence of Monotonization on the Spectral Resolution of Bicompact Schemes in the Inviscid Taylor–Green Vortex Problem

M. D. Bragin p. 608 abstract

Simplification of Numerical and Analytical Tools for Sonic Boom Description

Kh. F. Valiyev, A. N. Kraiko and N. I. Tillyayeva p. 624 abstract

Investigation and Application of the Domain Decomposition Method for Simulating Fuel Elements

M. P. Galanin and A. S. Rodin p. 641 abstract

Simulation of the Laminar–Turbulent Transition by Applying Hybrid Difference Schemes

I. V. Egorov and N. C. Nguyen p. 658 abstract

Comparative Analysis of Gradient Methods for Source Identification in a Diffusion-Logistic Model

T. A. Zvonareva and O. I. Krivorot’ko p. 674 abstract

A Discrete Nine-Velocity Model of the Boltzmann Equation: Solution in the Form of Wild Sum and Applications to Simulating Incompressible Flows

O. V. Ilyin p. 685 abstract

Errata

Erratum to: Monotone Decomposition of the Cauchy Problem for a Hyperbolic Equation Based on Transport Equations