Contents

Lobachevskii Journal of Mathematics

Vol. 47, No. 1, 2026

DG-GMsFEM for Elasticity Problems in Heterogeneous Perforated Domains in Multicontinuum Media

V. N. Alekseev p. 1  abstract

Numerical Simulation of the Thermal Interaction of a Gas Well with Permafrost

A. V. Ammosov p. 13  abstract

Online Generalized Multiscale Finite Element Method for Multicontinuum Time-Fractional Diffusion-Wave Model

H. R. Bai, Y. Yang, D. A. Ammosov, and M. Al Kobaisi p. 22  abstract

Fractional Time Derivative for Non-Newtonian Flow on Homogeneous–Heterogeneous Pore-Scale Reactive Transport

V. V. Grigoriev, D. K. Ivanov, and A. V. Savvin p. 37  abstract

Numerical Solution of the Kolmogorov–Petrovsky–Piskunov Problem with Nonlocal Nonlinearity

K. P. Ilina p. 48  abstract

Numerical Simulation of a Spatially Extended Identity-Based Model for Language Shift Dynamics

U. S. Kalachikova, V. I. Sivtseva, and A. V. Timofeeva p. 60  abstract

Fictitious Domain Method for a Point Contact Problem for a Nonhomogeneous Body with a Thin Rigid Inclusion

N. P. Lazarev, E. D. Fedotov, and G. M. Semenova p. 71  abstract

Large Mathematical Model of Leader-Follower Strategy for UAV Swarm Control in Information Field

N. S. Lazarev and M. V. Yashina p. 77  abstract

Meshfree GMsFEM for Elasticity Problems in Multicontinuum Media

D. Nikiforov p. 84  abstract

On Modeling Thin Delaminated Inclusions with Local Damage in a Two-dimensional Elastic Body

T. S. Popova and A. A. Efremov p. 99  abstract

Multiscale Modeling for Darcy–Forchheimer–Brinkman Model

D. A. Spiridonov p. 109  abstract

Neural Operator-Based Numerical Homogenization

S. P. Stepanov, A. I. Gurinov, A. A. Rudikov, and A. V. Grigorev p. 120  abstract

Generalized Multiscale Finite Element Method Approach for Thermo-poroelastic Systems with Phase Transitions

A. Tyrylgin and M. Yakobovskiy p. 130  abstract

Iterative Identification of the Spacewise Coefficient of the Lowest Derivative in a Parabolic Equation

Vasilii Vasil’ev, Anatoly Kardashevsky, and Kristina Kardashevskaia p. 145  abstract

Accuracy and Stability of the Hyperbolic Model Time Integration Scheme Revisited

Mikhail A. Botchev p. 153  abstract

Numerical Simulation of Plasma Injection into an Axisymmetric Magnetic Mirror Machine along the Axis

I. S. Chernoshtanov, M. A. Boronina, T. V. Liseykina, V. A. Vshivkov, and I. G. Chernykh p. 166  abstract

Optimization of a 3D Plasma Physics Code for the Numerical Simulation of a Diamagnetic ‘‘Bubble’’ in Linear Traps

I. G. Chernykh, V. A. Vshivkov, I. S. Chernoshtanov, I. M. Kulikov, M. A. Lebedev, N. V. Snytnikov, T. V. Liseykina, and M. A. Boronina p. 173  abstract

Numerical Simulation of Charged Multicore Electrical Cable

O. B. Feodoritova, M. B. Markov, N. D. Novikova, A. V. Sysenko, F. N. Voronin, and V. T. Zhukov p. 182  abstract

Hybrid Quantum-Classical Neural Networks for Analyzing Magnetic Tile Images for Defects

A. D. Ivlev, A. V. Liniov, M. V. Bastrakova, V. D. Kustikova, and I. B. Meyerov p. 190  abstract

Influence of Training Data Consideration on Neural Network Approximation of Thermal Explosion

O. P. Kolesnikova, M. Yu. Malsagov, E. V. Mikhalchenko, and I. M. Karandashev p. 200  abstract

FOReCAST: A New Parallel Code for Self-Gravitating Magnetized Flows

Ilya A. Kondratyev and Sergey G. Moiseenko p. 208  abstract

Controllability by Initial Data in a Variable Structure Problem for the Particles Tracing Problem

N. A. Kosinov and I. S. Maksimova p. 223  abstract

One Construction of HLLC Riemann Solver for Special Relativistic Magnetohydrodynamics Equations

I. M. Kulikov and D. A. Karavaev p. 234  abstract

Evaluating Efficiency of Using Graphics Processing Units for Solving Systems of Linear Algebraic Equations

R. M. Kuprii, B. I. Krasnopolsky, and K. A. Zhukov p. 243  abstract

The Influence of the Relativistic Radiation Hydrodynamics Mathematical Model Parameters on Simulated Gamma-Ray Burst Spectra

A. I. Lartsev, V. V. Lukin, I. Y. Kalashnikov, and L. G. Titarchuk p. 254  abstract

Estimation of the Diffusion Coefficient as a Result of Mathematical Modeling of the Plasma Confinement Effect in a Helical Magnetic Field

G. G. Lazareva and I. P. Oksogoeva p. 267  abstract

Numerical Simulations of Nonstationary Non-radiating States of Laser-plasma

T. V. Liseykina and V. A. Vshivkov p. 276  abstract

Mathematical Modeling of the Coupling Between Tilted Disk Precession and Shadow Motion Across the Donor Star’s Surface in Her X-1

Vladimir Lukin, Konstantin Postnov, and Nikolai Shakura p. 283  abstract

New 3D Numerical Method for Solving a Problem of Electrophysics

S. V. Polyakov, N. I. Tarasov, and T. A. Kudryashova p. 293  abstract

High Performance Implementation of a Relativistic Flows Simulation Application Using Active Knowledge Concept

G. A. Schukin, V. E. Malyshkin, and V. A. Perepelkin p. 303  abstract

Numerical Modeling of Galactic Cosmic Ray Modulation in the Heliosphere

D. A. Shestakov and V. V. Izmodenov p. 316  abstract

Mathematical Modeling of Compressible Plasma Flow at the Output of a Stationary Plasma Thruster

A. A. Taiurskii p. 327  abstract

2D Hybrid Numerical Model for the Magnetic Nozzle of a Plasma Thruster

K. V. Vshivkov and A. S. Kovaleva p. 337  abstract

Darwin Approximation for Numerical Modeling of Rarefied Plasma

V. A. Vshivkov, L. V. Vshivkova, and T. V. Liseykina p. 352  abstract

Linear Balance Equation with the Integral Term

Yu. V. Averboukh p. 369  abstract

Option Pricing Under Fractional Brownian Motion: A Caputo–Black–Scholes Approach

Fatima-Zahra Charafi, Hajar Sabiki, and Hicham Moussa p. 383  abstract

Transfer Learning-Enhanced Transformer for Robust Solar Irradiance Forecasting in Tropical Renewable Energy Integration

Nattharat Kanphakdee, Wararit Panichkitkosolkul, Andrei Volodin, Perawut Chinnavornrungsee, Kobsak Sriprapha, and Wichai Witayakiattilerd p. 396  abstract

On the Solvability of Schwarz Problems for the Inhomogeneous Cauchy–Riemann and Polyanalytic Equations

B. Karaca p. 417  abstract

Bayesian Credible Interval for Parameters of Zero-inflated Two-Parameter Rayleigh Distribution

Sasipong Kijsason, Sa-Aat Niwitpong, and Suparat Niwitpong p. 425  abstract

A Copula-Based Bivariate \(\boldsymbol{q}\)-Weibull Distribution

Pankaj Kumar and Vivek Vijay p. 435  abstract

A Continuous-Time Voting Model with Bounded Confidence: Existence and Convergence of Solutions

S. Yu. Pilyugin and A. V. Proskurnikov p. 449  abstract

On Constructing the Bochner Kernel for a Polyhedral Cone

Vladimir B. Vasilyev and Denis A. Tokarev p. 463  abstract

On the Space of the Solutions of an Ordinary Differential Equation

T. K. Yuldashev, F. G. Mukhamadiev, Sh. S. Lakaev, and Zh. A. Artykova p. 470  abstract

On a Low Scattered Linear Order with no Computable Copy

M. V. Zubkov p. 480  abstract