Vol. 64, No. 5, 2024

Computational Mathematics and Mathematical Physics

General Numerical Methods

Numerical-Analytical Decomposition-Autocompensation Method for Signal Recognition from Incorrect Observations

Yu. G. Bulychev p. 873 abstract

Spectral Methods for Solution of Differential and Functional Equations

V. P. Varin p. 888 abstract

The Simultaneous Reduction of a Pair of Unitoid Matrices to Diagonal Form Revisited

Kh. D. Ikramov p. 905 abstract

Hyper-Number Generalized Quaternions

Y. Alagöz and G. Özyurt p. 908 abstract

A Shannon Wavelet-Based Approximation Scheme for Thomas–Fermi Models of Confined Atoms and Ions

Sharda Kumari, Pratik Majhi and M. M. Panja p. 918 abstract

Optimal Control

Asymptotics of the Solution of a Bisingular Optimal Distributed Control Problem in a Convex Domain with a Small Parameter Multiplying a Highest Derivative

A. R. Danilin p. 941 abstract

Iterative PDE-Constrained Optimization for Seismic Full-Waveform Inversion

M. S. Malovichko, A. Orazbayev, N. I. Khokhlov and I. B. Petrov p. 954 abstract

Existence of an Optimal Control for a Semilinear Evolution Equation with Unbounded Operator

A. V. Chernov p. 967 abstract

Ordinary Differential Equation

Convergence Rate of Algorithm for Solving Linear Equations by Quantum Annealing

S. B. Tikhomirov and V. S. Shalgin p. 989 abstract

Partial Differential Equations

On the Structure of Axisymmetric Helical Solutions to the Incompressible Navier–Stokes System

V. A. Galkin p. 1004 abstract

Green’s Function of the Riquier–Neumann Problem for the Polyharmonic Equation in the Unit Ball

V. V. Karachik p. 1015 abstract

About One Method for Numerical Solution of the Cauchy Problem for Singularly Perturbed Differential Equations

D. A. Maslov p. 1029 abstract

Identities for Measures of Deviation from Solutions to Parabolic-Hyperbolic Equations

S. I. Repin p. 1044 abstract

Mathematical Physics

On the Stability of a Central Difference Scheme with a Stabilizing Correction for the 3D Transport Equation

V. P. Zhukov p. 1058 abstract

Study and Optimization of N-Particle Numerical Statistical Algorithm for Solving the Boltzmann Equation

G. Z. Lotova, G. A. Mikhailov and S. V. Rogasinsky p. 1065 abstract

Application of the CABARET and WENO Schemes for Solving the Nonlinear Transport Equation in the Problem of Simulating the Propagation of a Sonic Boom Wave in the Atmosphere

P. A. Mishchenko, T. A. Gimon and V. A. Kolotilov p. 1076 abstract

On the Simultaneous Determination of the Distribution Density of Sources Equivalent in the External Field and the Spectrum of the Useful Signal

I. E. Stepanova, D. V. Lukyanenko, I. I. Kolotov, A. V. Shepetilov, A. G. Yagola, I. A. Kerimov and A. N. Levashov p. 1089 abstract

Calculation of Plasma Heating by Charged Products of Thermonuclear Reactions Based on the Simplified Fokker–Planck Equation

K. V. Khishchenko and A. A. Charakhch’yan p. 1103 abstract

MHD Cattaneo–Christov Heat and Mass Fluxes with Nanofluid Flow in a Porous Medium between Dual Stretchable Rotating Disks

P. N. Habu, R. E. Mfon and C. I. Eke p. 1115 abstract

Multizonal Internal Layers in a Stationary Piecewise–Smooth Reaction-Diffusion Equation in the Case of the Difference of Multiplicity for the Roots of the Degenerate Solution