Vol. 45, No. 7, 2024

Lobachevskii Journal of Mathematics

An Approach to Solving the Problem of Supercomputer Co-design

A. S. Antonov, R. V. Maier, D. A. Nikitenko, and V. V. Voevodin p. 2965 abstract

Assessment of the Possibilities of Ultrasound Tomographic Imaging of Multi-Layer Composite Materials

E. G. Bazulin, A. V. Goncharsky, S. Y. Romanov, and S. Y. Seryozhnikov p. 2974 abstract

Efficient Reduction of Feynman Integrals on Supercomputers

A. V. Belitsky, A. A. Kokosinskaya, A. V. Smirnov, V. V. Voevodin, and Mao Zeng p. 2984 abstract

Improving Abstractive Summarization with Unsupervised Dynamic LoRA Mixtures

D. I. Chernyshev p. 2995 abstract

Nonlinear Harmonics Method for Supercomputer Simulations of Fluid Dynamics in Turbomachines with Higher Accuracy on Unstructured Meshes

A. P. Duben, R. A. Zagitov, and N. V. Shuvaev p. 3007 abstract

Improving Performance of SLAV Model for Medium Range Weather Prediction

R. Yu. Fadeev, G. S. Goyman, and M. A. Tolstykh p. 3017 abstract

Methods for Identifying Semantic and Hidden Relations in User Data for the Octoshell HPC Center Management System

Y. S. Fedotov, and D. A. Nikitenko p. 3029 abstract

Supercomputer Simulations in Designing Medical Ultrasound Tomographic Imaging Devices

A. V. Goncharsky, V. A. Kubyshkin, I. I. Makan, S. Y. Romanov, and S. Y. Seryozhnikov p. 3038 abstract

Artifacts of Reconstructed Images in Inverse Problems of Ultrasound Tomography in Models with Absorption

A. V. Goncharsky, S. Y. Romanov, and S. Y. Seryozhnikov p. 3051 abstract

High-performance Atomistic Simulation of the Deposition of \(\mathbf{TiO}_{\mathbf{2}}{\mathbf{-}}\mathbf{SiO}_{\mathbf{2}}\) Thin Films

F. V. Grigoriev, V. B. Sulimov, and A. V. Tikhonravov p. 3063 abstract

Methodology of Data Popularity Forecasting in High-Energy Physics Experiments on Unbalanced and Irregular Time-series Data

M. A. Grigorieva, N. N. Popova, D. A. Vartanov, and M. V. Shubin p. 3072 abstract

Efficiency of Using GPUs for Reconstructing the Hydraulic Resistance in River Systems Based on Combination of High Performance Hydrodynamic Simulation and Machine Learning

A. V. Khoperskov, S. S. Khrapov, A. Yu. Klikunova, and I. E. Popov p. 3085 abstract

Supercomputer Model of Finite-dimensional Quantum Electrodynamics Applications

Wanshun Li, Hui-hui Miao, and Y. I. Ozhigov p. 3097 abstract

Combination of Methods of Volume and Surface Integral Equations in Problems of Electromagnetic Scattering by Small Thickness Structures

I. A. Mass, A. V. Setukha, and R. M. Tretiakova p. 3107 abstract

Distributed Computing Quantum Unitary Evolution

Hui-hui Miao, and Yu. I. Ozhigov p. 3121 abstract

MPI-Based Methods for Network Reliability Calculation

D. A. Migov p. 3130 abstract

Supercomputer Modeling of Metal Nanoclusters Interaction Based on Molecular Dynamics Methods

V. O. Podryga, S. V. Polyakov, N. I. Tarasov, and V. A. Usachev p. 3138 abstract

Large Language Models in Targeted Sentiment Analysis for Russian

N. Rusnachenko, A. Golubev, and N. Loukachevitch p. 3148 abstract

Development of the Next-generation Atmosphere Dynamics Model in Russia: Current State and Prospects

V. V. Shashkin, G. S. Goyman, and I. D. Tretyak p. 3159 abstract

Galerkin Method and Parallel Algorithm for Solving the Problem of EM-Wave Propagation in a Locally Inhomogeneous Medium with a Graphene Layer at the Boundary of the Inhomogeneity Domain

O. S. Skvortsov, and A. A. Tsupak p. 3173 abstract

Estimates for the Quantized Tensor Train Ranks for the Power Functions

M. S. Smirnov, and S. A. Matveev p. 3182 abstract

New Capabilities in Exoplanet Research Using Unique MASTER Global Robotic Net Archive with Lomonosov Supercomputer Powers

A. N. Tarasenkov, V. M. Lipunov, G. A. Antipov, A. S. Kuznetsov, V. V. Voevodin, I. D. Fateev, P. V. Balanutsa, N. V. Tiurina, and A. N. Yudin p. 3188 abstract

On the Parameterization of the Mean Wind Profile for Urban Canopy Models

M. A. Tarasova, A. V. Debolskiy, E. V. Mortikov, M. I. Varentsov, A. V. Glazunov, and V. M. Stepanenko p. 3198 abstract

Improving Large Language Model Russian Adaptation with Preliminary Vocabulary Optimization

M. M. Tikhomirov, and D. I. Chernyshev p. 3211 abstract

On a Nonlocal Problem for a Mixed-Type Equation with a Fractional Order Operator

R. R. Ashurov, B. J. Kadirkulov, and M. A. Jalilov p. 3220 abstract

On the Integration of the Hierarchy of the Kaup–Boussinesq System with a Self-Consistent Source

B. A. Babajanov, F. B. Abdikarimov, and F. U. Sulaymonov p. 3233 abstract

Investigation of the Difference Problem for a Mixed Type Equation

G. B. Bakanov, and S. K. Meldebekova p. 3246 abstract

On Ramanujan Type Integrals

Yu. A. Brychkov p. 3256 abstract

Initial Boundary Value and Inverse Coefficient Problems for One-Dimensional Fractional Diffusion Equation in a Half-Line

D. K. Durdiev p. 3265 abstract

Bisectorial Operators and Evolution Equations on the Real Axis

V. E. Fedorov, and N. M. Skripka p. 3280 abstract

Refinement of the Main Lemmas of the Theory of Critical Branching Processes

Sh. K. Formanov p. 3290 abstract

Self-Similar Solutions for the Membrane Transverse Vibration Equation

A. Hasanov, and S. G. Rashidov p. 3299 abstract

Nonlocal Boundary Problem for a Loaded Equation of Mixed Type in a Special Domain

B. I. Islomov, T. K. Yuldashev, and O. M. Yunusov p. 3304 abstract

Inverse Problem on Finding Unknown Time-Moment for Mixed Wave-Diffusion Equation

E. T. Karimov, and N. E. Tokmagambetov p. 3314 abstract

Bound States of a Lattice Two-Boson System with Interactions up to the Next Neighboring Sites

S. N. Lakaev, and S. F. Sharipova p. 3323 abstract

Mixed Problem for a Linear Barenblatt–Zheltov–Kochina Equation with Fractional Hilfer Operator

A. A. Matchanova, B. J. Kadirkulov, and T. K. Yuldashev p. 3333 abstract

Improved Homogenization Estimates for Higher-order Elliptic Operators in Energy Norms

S. E. Pastukhova p. 3351 abstract

A Nonlocal Problem for a Degenerate Equation of Elliptic Type with a Singular Coefficient

M. Kh. Ruziev, and K. B. Kazakbaeva p. 3370 abstract

Inverse Problem of Determining a Kernel of the Viscoelasticity Equation with Distributed Data in a Limited Domain

J. Sh. Safarov, U. N. Kalandarov, and M. J. Safarova p. 3380 abstract

Numerical Modeling of Natural and Mixed Convection in a Confined Space

N. S. Sayidova p. 3391 abstract

The Integral Transforms Composition Method for Generalized Index Shifted Transmutations

S. M. Sitnik, and Inèss Jebabli p. 3401 abstract

Solving Vlasov Equation with Neural Networks

A. V. Snytnikov, and Yu. S. Ezrokh p. 3416 abstract

Boundary Value Problems for a Third Order Mixed Parabolic-hyperbolic Equation with Variable Coefficients

A. Sopuev, and B. Sh. Nuranov p. 3424 abstract

A Class of Ratio Estimators for Estimating Population Mean Using a Transformed Auxiliary Variable Under Stratified Random Sampling

Natthapat Thongsak, and Nuanpan Lawson p. 3432 abstract

On Some Problems of Bitsadze–Samarsky Type for the Poisson Equation

B. Kh. Turmetov, K. Zh. Nazarova, and K. I. Usmanov p. 3444 abstract

Solvability of One Class of Inverse Problem for Partial Differential Equations

D. A. Tursunov, K. G. Kozhobekov, A. O. Mamytov, and B. E. Matieva p. 3453 abstract

Contents

Lobachevskii Journal of Mathematics