Contents

Lobachevskii Journal of Mathematics


Vol. 45, No. 1, 2024


Three-Dimensional Model for Numerical Simulation of Beam-Plasma Dynamics in Open Magnetic Trap

M. A. Boronina, I. S. Chernoshtanov, I. G. Chernykh, G. I. Dudnikova, K. V. Vshivkov p. 1  abstract

Adaptive Iterative Explicit Time Integration for Nonlinear Heat Conduction Problems

M. A. Botchev, V. T. Zhukov p. 12  abstract

Fast Simulation of Collisions in the Particle-in-cell Method for Ions of Different Types

I. S. Chernoshtanov, A. A. Soloviev, V. A. Vshivkov, L. V. Vshivkova p. 21  abstract

Numerical Analysis of an Efficient Time Integration Scheme for Unsteady Conjugate Heat Transfer

O. B. Feodoritova, N. D. Novikova, V. T. Zhukov p. 30  abstract

Analytical Solution of the Mixed Problem on a Segment for One-dimensional Ionization Equations in the Case of Constant Velocities of Atoms and Ions

M. B. Gavrikov, A. A. Taiurskii p. 39  abstract

Magnetorotational Supernova Explosions: Jets and Mirror Symmetry Violation

I. A. Kondratyev, S. G. Moiseenko, G. S. Bisnovatyi-Kogan p. 50  abstract

Using Adaptive Mesh Refinement Technique for Numerical Modeling of Relativistic Jets

I. M. Kulikov p. 60  abstract

On One Numerical Scheme for Solving Radiative Transfer Equations in the Diffusion Approximation

I. M. Kulikov, E. I. Vorobyov p. 67  abstract

An Efficient Algorithm for Calculating the Magnetic Field in a Cylindrical Plasma Trap

T. V. Liseykina, V. A. Vshivkov, U. A. Kholiyarov p. 75  abstract

Modeling of the L${}_{1}$ Point Jet Formation in Binary Star Her X1

V. Lukin, K. Postnov, N. Shakura p. 85  abstract

Protostellar Cores Formation in the Collision of Spherical and Oblate Clouds

B. P. Rybakin p. 95  abstract

Dispersion and Group Analysis of Dusty Burgers Equations

O. P. Stoyanovskaya, G. D. Turova, N. M. Yudina p. 108  abstract

Quantum Process Tomography on Cloud-accessible Quantum Computing Platforms

P. E. Vedrukov, A. D. Ivlev, A. V. Liniov, I. B. Meyerov, M. V. Ivanchenko p. 119  abstract

Improved Vectorization of OpenCV Algorithms for RISC-V CPUs

V. D. Volokitin, E. P. Vasiliev, E. A. Kozinov, V. D. Kustikova, A. V. Liniov, Y. A. Rodimkov, A. V. Sysoyev, I. B. Meyerov p. 130  abstract

Adaptive Dynamic Grids and Mimetic Finite Difference Method for Miscible Displacement Problem

A. Abushaikha, K. Terekhov p. 143  abstract

Numerical Modeling of Fracturing in Fiber Reinforced Polymers with Grid-characteristic Method

K. A. Beklemysheva p. 155  abstract

Production Well Placement and History Matching by Hyperparametric Optimization and Machine Learning

A. Donskoi, A. Medvedev, T. Shchudro, K. Terekhov, Yu. Vassilevski p. 166  abstract

Traveling-wave Solution to the Schumpeterian Dynamics with Heterogeneous Imitation

L. V. Egorov p. 177  abstract

Boundary Conforming Chimera Meshes to Account for Surface Topography and Curved Interfaces in Geological Media

A. V. Favorskaya, N. I. Khokhlov, V. I. Golubev, A. V. Shevchenko p. 191  abstract

Calculation of Seismic Stability of Buildings in the Far North Using the Grid-Characteristic Method

A. V. Favorskaya, I. B. Petrov p. 213  abstract

Investigation of Wave Phenomena in the Offshore Areas of the Arctic Region in the Process of the Seismic Survey

E. K. Guseva, V. I. Golubev, I. B. Petrov p. 223  abstract

Investigation of Wave Phenomena During the Seismic Survey in the Permafrost Areas Using Two Approaches to Numerical Modeling

E. K. Guseva, V. I. Golubev, I. B. Petrov p. 231  abstract

Physically Informed Deep Learning Technique for Estimating Blood Flow Parameters in Arterial Bifurcations

A. Isaev, T. Dobroserdova, A. Danilov, S. Simakov p. 239  abstract

Strategies with Algebraic Multigrid Method for Coupled Systems

I. Konshin, K. Terekhov, Yu. Vassilevski p. 251  abstract

Computer Simulation of Train Movement by Grid-Characteristic Method

A. A. Kozhemyachenko, E. Pesnya p. 262  abstract

Analysis of the Stock Market Crisis Based on Mean Field Games Concept

A. S. Kuts, N. V. Trusov p. 272  abstract

Approximation of the Subdiffusion Equation with Solution-dependent Fractional Time Derivative and Diffusion Coefficient

A. Lapin, R. Yanbarisov p. 287  abstract

Numerical Study of Stress Estimation Methods for Membrane Inflation Experiments

A. Liogky p. 299  abstract

GPU-native Dynamic Octree-based Grid Adaptation to Moving Bodies

P. V. Pavlukhin, I. S. Menshov p. 308  abstract

Dynamic Processes Calculation in Composites Considering Internal Structure Using the Grid-Characteristic Method

E. Pesnya, I. B. Petrov p. 319  abstract

Three-parameter Regularization Algorithm for Pseudo-solution of Non-compatible Systems

V. Shaydurov, V. Petrakova p. 328  abstract

Learning Velocity Model for Complex Media with Deep Convolutional Neural Networks

A. S. Stankevich, I. O. Nechepurenko, A. V. Shevchenko, L. I. Gremyachikh, A. E. Ustyuzhanin, A. V. Vasyukov p. 336  abstract

Fast Parallel Solver of Time-harmonic Wave Equation with Topography

N. B. Yavich, V. I. Golubev, N. I. Khokhlov p. 346  abstract

Generalized Reduced Modulus in Euclidean Space

A. S. Afanaseva-Grigoreva, K. A. Gulyaeva, E. G. Prilepkina p. 353  abstract

Qualitative Investigation of Some Hierarchical Family of Cubic Dynamic Systems

I. Andreeva p. 364  abstract

Integral Equations with Power Sum Kernel and Monotonic Nonlinearity

S. N. Askhabov p. 376  abstract

Equiconvergence Theorem for Integral Operator on a Graph with Cycle

M. Sh. Burlutskaya, E. I. Grigorieva p. 383  abstract

One Parameter Families of Conformal Mappings of Bounded Doubly Connected Polygonal Domains

A. Dyutin, S. Nasyrov p. 390  abstract

Probability Algebras and Ultraproducts

S. G. Haliullin p. 412  abstract

Application of Baumgarte Constraint Stabilization to Inverse Dynamical Problem

K. Z. Kaspirovich, R. G. Mukharlyamov, I. E. Kaspirovich p. 416  abstract

On Tangential Boundary Behavior of Functions from Hardy Type Spaces

I. N. Katkovskaya, V. G. Krotov p. 426  abstract

Integral Formulas for Subharmonic and Meromorphic Functions and Completeness of Exponential Systems

B. N. Khabibullin, E. B. Menshikova p. 434  abstract

Schwarz–Christoffel Mapping from a Rectangle

I. A. Kolesnikov p. 443  abstract

A Semigroup $\boldsymbol{C}^{\mathbf{*}}$-algebra for a Semidirect Product of Semigroups

E. V. Lipacheva p. 452  abstract

The Spaces of Delta-subharmonic Functions of Finite Order with Respect to the Model Function of Growth

K. Malyutin, M. Kabanko p. 462  abstract

Analysis of Possible Solutions of Some Inverse Dynamical Problem with Regard for Constraint Stabilization

R. G. Mukharlyamov, I. E. Kaspirovich p. 472  abstract

Algebraic Model of Non-Abelian Superselection Rules Considering Conjugate Endomorphism

A. S. Nikitin, A. S. Sitdikov p. 478  abstract

On a Class of Condensing Multivalued Maps

V. Obukhovskii, T. Ul’vacheva p. 491  abstract

Uniform Aproximations of Solutions to a Strongly Singular Integral Equation of the First Kind

A. V. Ozhegova, L. E. Khairullina p. 498  abstract

$\boldsymbol{H}_{\boldsymbol{A}}$-Weakly Periodic $\boldsymbol{p}$-Adic Generalized Gibbs Measures for Ising Model on a Cayley Tree

M. M. Rahmatullaev, Z. T. Abdukaxorova p. 504  abstract

Ground States and Gibbs Measures for the Potts-SOS Model with an External Field on the Cayley Tree

M. M. Rahmatullaev, M. A. Rasulova p. 518  abstract

On the Uniqueness of Solutions to Inverse Problems for Equations of Various Types in Finding Their Right-Hand Side

K. B. Sabitov p. 532  abstract

Numerical Simulation of Injection of Polydisperse Gas-Droplet Suspension into a Flow of Dusty Medium

D. A. Tukmakov p. 540  abstract

Consistency of the Empirical Bayesian Analogue of the Regression Estimation

E. Zaarour, S. V. Simushkin p. 551  abstract

The Problem of Deformations of a Singular String with a Nonlinear Boundary Condition

M. B. Zvereva p. 555  abstract