Contents

Lobachevskii Journal of Mathematics


Vol. 44, No. 8, 2023


Representation of Experimental Data in the Algo500 Project

A. S. Antonov, R. V. Maier, D. A. Nikitenko p. 3005  abstract

Variational Bayesian Inference for CP Tensor Completion with Subspace Information

S. Budzinskiy, N. Zamarashkin p. 3016  abstract

Evaluating the Summarization Comprehension of Pre-Trained Language Models

D. I. Chernyshev, B. V. Dobrov p. 3028  abstract

Passive Tracer Transport in Ocean Modeling: Implementation on GPUs, Efficiency and Optimizations

E. M. Gaschuk, A. A. Ezhkova, V. A. Onoprienko, A. V. Debolskiy, E. V. Mortikov p. 3040  abstract

Diffusion Process for the Domain-Source

Y. V. Glasko p. 3059  abstract

Large-Scale Atomistic Simulation of the Structure of ZnO Films

F. V. Grigoriev, V. B. Sulimov, A. V. Tikhonravov p. 3068  abstract

Exploring Hierarchical Forecasting of Data Popularity in High-Energy Physics Experiments

M. A. Grigorieva, N. N. Popova, D. A. Vartanov, M. V. Shubin p. 3076  abstract

Early Performance Evaluation of Distributed Learning via GPU-Aware MPI over the Angara Interconnect

T. F. Ismagilov, A. V. Piruygin, A. S. Semenov p. 3091  abstract

Estimating the Effect of Indices Compression in the CSR-like Data Storage Formats for Matrix-Vector Multiplications and Solving Linear Systems

R. M. Kuprii, B. I. Krasnopolsky, K. A. Zhukov p. 3100  abstract

Comparing the Effects of Nuclear and Electron Spins on the Formation of Neutral Hydrogen Molecule

Hui-hui Miao, Yu. I. Ozhigov p. 3112  abstract

On Network Reliability Evaluation by Monte Carlo Method Using High-Performance Computing

D. A. Migov, D. V. Weins p. 3122  abstract

Parallel Optimization and Performance Tuning on a Kunpeng Cluster of Genetic Algorithm for Synthesis of Circulant Networks

O. G. Monakhov, E. A. Monakhova, S. E. Kireev p. 3130  abstract

Approbation of Methods for Supercomputer Job Queue Wait Time Estimation

A. V. Paokin, D. A. Nikitenko p. 3140  abstract

Tuning Soft Mutations of the Evolution Algorithm for Optimizing the Linear Solver Parameters

A. A. Petrushov, B. I. Krasnopolsky p. 3148  abstract

Machine Reading Comprehension Model in Domain-Transfer Task

I. S. Rozhkov, N. V. Loukachevitch p. 3160  abstract

Method for Generating Interpretable Embeddings Based on Superconcepts

M. M. Tikhomirov, N. V. Loukachevitch p. 3169  abstract

Facilitating the Process of Performance Analysis of HPC Applications

V. V. Voevodin, A. V. Debolskiy, E. V. Mortikov p. 3178  abstract

On a Discrete Boundary Value Problem in a Quarter-Plane

E. B. Afanasieva, A. A. Khodyreva, V. B. Vasilyev p. 3191  abstract

On Higher Integrability of the Gradient of a Solution to the Zaremba Problem for $\boldsymbol{p(\cdot)}$-Laplace Equation in a Plane Domain

Yu. A. Alkhutov, G. A. Chechkin p. 3197  abstract

On the Smoothness of a Function at the Convergence Point of Its Spectral Expansion Associated with B-Elliptic Operators

Sh. A. Alimov, Sh. T. Pirmatov p. 3207  abstract

On a Problem for a Fourth-Order Equation with Multiple Characteristics Containing the Third Time Derivate

Yu. P. Apakov, D. M. Melikuzieva p. 3218  abstract

An Analog of the Tricomi Problem for a Mixed-Type Equation with Fractional Derivative. Inverse Problems

R. R. Ashurov, R. T. Zunnunov p. 3225  abstract

Well-Posedness of SI Problem for an Elliptic Equation in a Banach Space with Mixed Boundary Conditions

A. Ashyralyev, C. Ashyralyyev p. 3241  abstract

Multiplicative Estimates for Derivatives on Irregular Domains

O. V. Besov p. 3250  abstract

Volterra Integral Equations with Gaussian Hypergeometric Function in the Kernel and Their Application to the Boundary Value Problems

T. G. Ergashev, N. J. Komilova p. 3256  abstract

On Some Properties of a Linearized Quasi-Hydrodynamical System of Equations

F. A. Evseev, S. G. Pyatkov p. 3266  abstract

Linear Equations with Distributed Riemann–Liouville Derivatives Given by Stieltjes Integrals and Their Analytic Resolving Families of Operators

V. E. Fedorov, A. A. Abdrakhmanova p. 3277  abstract

Some Theorems on a Minimum of a Function, Fixed and Coincidence Points

B. Gel’man, V. Obukhovskii, E. Borisova p. 3292  abstract

On the Solvability of Boundary Value Problems for an Abstract Singular Equations on a Finite Interval

A. V. Glushak p. 3298  abstract

On the Solvability of a Boundary Value Problem for a Two-Dimensional System of Navier–Stokes Equations in a Truncated Cone

M. T. Jenaliyev, M. G. Yergaliyev p. 3309  abstract

Radon–Kipriyanov Transform of Laplace Series by Weight Spherical Functions

V. A. Kalitvin, M. G. Lapshina p. 3323  abstract

A Continuous Dependence of a Solution Set for Fractional Differential Inclusions of an Order $\boldsymbol{q\in(1,2)}$ on Parameters and Initial Data

M. Kamenskii, V. Obukhovskii, G. Petrosyan p. 3331  abstract

Solution of the Goursat Problem for the Boussinesq–Love Equation with the Bessel Operator by the Method of Transmutation Operators

Sh. T. Karimov, Sh. A. Oripov p. 3343  abstract

Solution of a Characteristic Problem for the Third Order Pseudoparabolic Equation with the Bessel Operator by the Method of Transmutation Operators

Sh. T. Karimov, Kh. A. Yulbarsov p. 3351  abstract

The Harnack Distance and Separatedness of Sets as a Basis for Estimates of Subharmonic Functions from Below

B. N. Khabibullin p. 3358  abstract

Divergent Series and Generalized Mixed Problems for Heat Conduction and Schrödinger Equations of the Simplest Form

A. P. Khromov p. 3367  abstract

On the Poincaré Problem Solution for a System of Two Functions

L. A. Khvoshchinskaya p. 3372  abstract

Transmutations from the Covariant Transform on the Heisenberg Group and an Extended Umbral Principle

V. V. Kisil p. 3384  abstract

On the Solvability of the Cauchy Problem for the Wave Equation of Aerodynamics Describing the Supersonic Flow of Thin Surfaces

V. A. Kostin, D. V. Kostin, M. N. Silaeva, A. P. Zhurikhin p. 3398  abstract

Mathematical Model of a Pulse Submerger and the Influence of Manufacturing Tolerances

T. Kostina, S. Baboshin, A. Zhurba, P. Raynaud de Fitte p. 3404  abstract

Kipriyanov’s Fractional Calculus Prehistory and Legacy

M. V. Kukushkin p. 3411  abstract

Construction of Asymptotic Formulas for Solutions of One Differential Problem with a Singular Coefficient

I. S. Lomov p. 3430  abstract

Composition and Commutator of Singular $\boldsymbol{\mathbf{J}}$-Pseudodifferential Kipriyanov Operators in $\boldsymbol{\mathbb{R}_{N}}$

L. N. Lyakhov, Yu. N. Bulatov p. 3438  abstract

On Even and Odd Radon–Kipriyanov Transformations

L. N. Lyakhov, S. A. Roshchupkin, M. G. Lapshina p. 3455  abstract

On the Fundamental Solution of a $\boldsymbol{D_{B}}$-Hyperbolic Operator with a Bessel Operator in Time

L. N. Lyakhov, S. A. Roshchupkin, K. S. Yeletskikh p. 3467  abstract

Transmutations for Self-Adjoint Differential Operators

V. I. Makovetsky p. 3478  abstract

On Noetherity of Two-Dimensional Toeplitz Operator on Some Topological Spaces

A. E. Pasenchuk p. 3487  abstract

On Mean Values of Solutions to Differential Equations

M. V. Polovinkina, I. P. Polovinkin p. 3497  abstract

On Boundedness of Certain Integral Operators

V. A. Polunin, V. B. Vasilyev, N. S. Erygina p. 3517  abstract

To the Theory of Singular Integral Equations of Non-Classical Type on a Segment of a Line

S. V. Popov, A. P. Soldatov p. 3522  abstract

Fractional Stefan Problem: A Survey of the Recent Results

S. Rogosin, M. Dubatovskaya p. 3535  abstract

First Boundary Value Problem for the Two-Dimensional Wave Equation

K. B. Sabitov p. 3555  abstract

Multi-Dimensional Integral Transforms with the Fox $\boldsymbol{H}$-Function and the Legendre Function of the First Kind in the Kernels on $\boldsymbol{\mathfrak{L}}_{\overline{\boldsymbol{\nu}},\overline{\boldsymbol{r}}}$-Spaces

S. M. Sitnik, O. V. Skoromnik p. 3563  abstract

The Third Boundary Problem for a Mixed-Type Equation with Three Singular Coefficients

A. K. Urinov, K. T. Karimov p. 3582  abstract

Pseudo Hyperbolic Equations with Degeneracy: Existence and Uniqueness of Solutions

G. A. Varlamova, A. I. Kozhanov p. 3594  abstract

The Models of Gradient Mechanics and Singularly Perturbed Boundary Value Problems

A. O. Vatulyan, S. A. Nesterov, O. V. Yavruyan p. 3604  abstract

Closed Separable Random Sets in $\boldsymbol{\mathbb{R}^{d}}$

Yu. P. Virchenko p. 3613  abstract

Interpolation Problem with Knots on a Line for Solutions of a Multidimensional Convolution Equation

V. V. Volchkov, Vit. V. Volchkov p. 3630  abstract

Uniqueness of Solution of Boundary-Value Problem with Integral Condition for Mixed-Type Equation with Bessel Operator

N. V. Zaitseva p. 3640  abstract