Contents

Computational Mathematics and Mathematical Physics


Vol. 63, No. 5, 2023


General Numerical Methods

Calculation of a Strong Resonance Condition in a Hamiltonian System

A. B. Batkhin and Z. Kh. Khaidarov p. 687  abstract

A Generalized Simplified Hermitian and Skew-Hermitian Splitting Preconditioner for Double Saddle Point Problems

L. Meng, Y. He and J. Li p. 704  abstract

On the Radial Basis Function Interpolation I: Spectral Analysis of the Interpolation Matrix and the Related Operators

Jianping Xiao p. 719  abstract

Approximation of Functions Defined in Tabular Form: Multicriteria Approach

A. P. Nelyubin and V. V. Podinovski p. 730  abstract


Optimal Control

Synthesis of an Optimal System with Stable Sliding Modes

L. T. Ashchepkov p. 743  abstract

Optimization of the Reachable Set of a Linear System with Respect to Another Set

M. V. Balashov and R. A. Kamalov p. 751  abstract


Ordinary Differential Equations

On Ranks of Matrices over Noncommutative Domains

S. Abramov, M. Petkovšek and A. Ryabenko p. 771  abstract


Partial Differential Equations

Alternative Direction Implicit Method for Solving First Order 2D Hyperbolic Delay Differential Equations

S. Karthick and V. Subburayan p. 779  abstract

Multiwave Interaction Solutions for a New Extended Equation in (4+1)-Dimension

Y. Yang and Y. P. Liu p. 794  abstract


Mathematical Physics

Reconstruction of Two Functions in the Model of Vibrations of a String One End of Which Is Placed in a Moving Medium

O. A. Andreyanova and A. Yu. Shcheglov p. 808  abstract

Characteristic-Based Volume Penalization-Imposed Wall Function Method for Turbulent Boundary Layer Modeling

O. V. Vasilyev and N. S. Zhdanova p. 821  abstract

Approximate Solution of an Inverse Problem for a Singularly Perturbed Integro-Differential Heat Equation

A. M. Denisov p. 837  abstract

Data Assimilation for the Two-Dimensional Ambipolar Diffusion Equation in Earth’s Ionosphere Model

V. P. Dymnikov, D. V. Kulyamin, P. A. Ostanin and V. P. Shutyaev p. 845  abstract

A Waveguide Model of the Developed Turbulent Boundary Layer

V. A. Zharov, I. I. Lipatov and R. S. Selim p. 868  abstract

Quasi-Solution Method and Global Minimization of the Residual Functional in Conditionally Well-Posed Inverse Problems

M. Yu. Kokurin p. 881  abstract

The Problem of Complex Heat Transfer with Cauchy-Type Conditions on a Part of the Boundary

P. R. Mesenev and A. Yu. Chebotarev p. 897  abstract

Rusanov’s Third-Order Accurate Scheme for Modeling Plasma Oscillations

E. V. Chizhonkov p. 905  abstract