Contents

Lobachevskii Journal of Mathematics


Vol. 46, No. 9, 2025


A New High-Order SPH Method for Gas Dynamics Equations: Approximate Dispersion Relations and Sound Wave Simulation

O. A. Burmistrova, T. V. Markelova, M. S. Arendarenko, and O. P. Stoyanovskaya p. 4321  abstract

Lattice Boltzmann Models Minimizing Kolmogorov–Smirnov Distance and Some Applications to Rarefied Flows

G. A. Chumarin and O. V. Ilyin p. 4331  abstract

The Geometric Properties of Shallow Water Equation Solutions on a Rotating Sphere

A. P. Chupakhin and E. S. Stetsyak p. 4343  abstract

A Partitioned Global Address Space Parallel Code for Numerical Modeling in Special Relativistic Hydrodynamics

I. M. Kulikov, I. G. Chernykh, D. A. Karavaev, V. G. Elbakyan, L. Abaroa, and G. E. Romero p. 4356  abstract

Large Meso-Model of Directed Flows for Objects in Informational Fields

G. G. Lazareva and M. V. Yashina p. 4393  abstract

Effect of Joule Heating on the Result of Pulsed Heating of the Diverter Material of a Thermonuclear Reactor

G. G. Lazareva and V. A. Popov p. 4400  abstract

Particle-in-Сell Based Numerical Model to Study Terahertz Emission from Gas Targets Ionized by a Bichromatic Laser Pulse

T. V. Liseykina, E. E. Peganov, K. V. Vshivkov, and V. A. Vshivkov p. 4410  abstract

Meshfree Generalized Multiscale Method for Parabolic Problem in Multicontinuum Media

D. Y. Nikiforov and S. P. Stepanov p. 4425  abstract

Mathematical Modeling of the Effect of Diffusion on the Effect of Plasma Confinement in a Helical Magnetic Field

I. P. Oksogoeva p. 4435  abstract

Pseudo-adaptive Grid for the Boltzmann Solver Based on the Discrete Velocity Method

S. O. Poleshkin p. 4443  abstract

Evaluation of the Influence of Magnetic Field on the Magnitude of Thermal Currents During Pulsed Heating of Tungsten by an Electron Beam

V. A. Popov and G. G. Lazareva p. 4465  abstract

Spurious Mass Flux at Solid Wall in Euler and Navier–Stokes Computations

G. V. Shoev, A. N. Kudryavtsev, A. A. Shershnev, S. P. Borisov, and A. V. Kashkovsky p. 4475  abstract

Mathematical Modeling of the Rotation of the Walls of a Stationary Plasma Thruster Chamber

A. A. Taiurskii p. 4494  abstract

Two-Phase Flow in Heterogeneous Porous Media with Non-Equilibrium Nonlinear Effects

T. Timofeeva, M. Vasilyeva, N. A. Mbroh, and V. Vasiliev p. 4503  abstract

A Two-Dimensional Mott-Smith Approximation for a Steady Supersonic Flow with a Regular Shock-Wave Reflection

M. Yu. Timokhin and Ye. A. Bondar p. 4514  abstract

Mathematical Modeling of Kelvin–Helmholtz Instability at Tangential Discontinuities in Partially Ionized Plasma: Application to Heliopause Dynamics

A. V. Titova, S. D. Korolkov, and V. V. Izmodenov p. 4526  abstract

Cauchy Problem for the Quasilinear Heat Conduction Equation in Fourier Images

V. L. Vaskevich and Yan Wenyuan p. 4534  abstract

Application of a Mesh Adaptation Algorithm to Gas Flows with Interacting Shock Waves

I. V. Voronich, N. S. Smirnova, and V. A. Titarev p. 4543  abstract

Asymptotics and Numerical Approaches to Quantum Mechanical Problems of Multidimensional Atomic and Molecular Systems

E. D. Belega p. 4551  abstract

Explicit Adaptive Time Stepping for the Cahn–Hilliard Equation by Exponential Krylov Subspace and Chebyshev Polynomial Methods

M. A. Botchev p. 4565  abstract

Convergence to Equilibrium Distribution. Dirac Fields Coupled to a Particle

T. V. Dudnikova p. 4586  abstract

Vector Extremal Measure and the Distribution of Zeros of Biorthogonal Polynomials

A. V. Dyachenko, M. A. Lapik, and V. G. Lysov p. 4601  abstract

Time Integration Schemes for a Hydrodynamic Multiphase Density Gradient Model

I. A. Fahurdinov, V. A. Balashov, M. A. Botchev, and E. B. Savenkov p. 4615  abstract

Three Current Topics on Approximation by Analytic Functions

K. Yu. Fedorovskiy p. 4630  abstract

Hawaii Conjecture Through the Lens of Cauchy Indices

D. Gnatuyk and M. Tyaglov p. 4648  abstract

Attractors for the Navier–Stokes–Voigt Equations and Their Dimension

A. A. Ilyin and S. V. Zelik p. 4659  abstract

On a Markov-type Inequality on Compact Sets of the Unit Circle

S. Kalmykov and K. Konoplev p. 4674  abstract

Random Nearest Neighbor Graphs: Benchmarking and Statistical Analysis

A. A. Kislitsyn p. 4682  abstract

Gradient Reconstruction on Adaptive Meshes

R. V. Muratov, P. P. Zakharov, and I. S. Menshov p. 4692  abstract

On the Statistical Properties of Linear Quantization and Inverse Operator

Yu. N. Orlov and V. Zh. Sakbaev p. 4707  abstract

On Asymptotic Properties of Polynomials Defined by Shifted Orthogonality Conditions

E. A. Rakhmanov and S. P. Suetin p. 4715  abstract

On the Hierarchy of Singularities in 3D Pressureless Gas

Yu. G. Rykov p. 4728  abstract

Existence of Solutions for a Three-Point Sequential Caputo Boundary Value Problem at Resonance

A. Adoui, A. Guezane-Lakoud, and R. Khaldi p. 4740  abstract

Naive Modified Ratio Estimator of Population Mean Using Linear Combination of Robust and Non-Robust Auxiliary Parameters

Mehdi Ali, Subhash Kumar Yadav, Rajesh Kumar Gupta, Surendra Kumar, and Sukhvir Singh p. 4750  abstract

External Menisci on Thin Inclined Fibers with Circular Cross-section (the Case of Full Wetting)

M. M. Alimov p. 4761  abstract

Point Interaction for Non-Self-Adjoint Three-Dimensional Operators: Approximation by Non-Local Robin Condition

D. I. Borisov p. 4783  abstract

Inequality and Growth in a Model with Borrowing Constraints

K. Borissov p. 4804  abstract

Euler Type Series and Reduction Formulas for Derivatives of Hypergeometric Functions with Respect to Parameters

Yu. A. Brychkov p. 4826  abstract

Initial-Boundary Value Problem for Schrödinger Equation on Ladder-Type Graph

M. R. Eshimbetov p. 4838  abstract

Integral Representations of Solutions to Higher-Order Dirichlet Problems in a Half-Lens Domain

B. Karaca p. 4850  abstract

Trajectory Controllability of Time-varying Fractional Dynamical Systems

P. Karthiga, S. M. Sivalingam, V. Govindaraj, and A. S. Hendy p. 4857  abstract

Uniqueness and Nonuniqueness Conditions for Weakly Periodic Gibbs Measures for the Hard-core Model with a Countable Set of Spin Values

R. M. Khakimov and A. A. Bozorkulov p. 4873  abstract

On a Riesz Fractional Boundary Value Problem in a Weighted Lebesgue Space

R. Khaldi and A. Guezane-Lakoud p. 4888  abstract

The Generalized SURE Estimate for Threshold Processing when Solving Inverse Statistical Problems

A. A. Kudryavtsev and O. V. Shestakov p. 4899  abstract

Clustering Skewed Data Using Finite Mixtures of Matrix Variate Skew Laplace Distributions

Shiva Kumar Kurva and Kiruthika C p. 4909  abstract

Verification of Global and Local as View Data Integration in an Object Data Model

S. A. Stupnikov p. 4926  abstract

Numerical Calculation of Propeller Force Characteristics by the Cascade Method

A. D. Sukhov and A. G. Petrov p. 4941  abstract