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On Relations Associated with the Euler Function J. Appl. Ind. Math. Pub Date : 2024-02-16 V. K. Leontiev, E. N. Gordeev
Abstract The paper studies the properties of the set of numbers smaller than and coprime to \( n \) with the modulo \( n \) multiplication operation introduced on it (this object is sometimes called the Euler group). The cardinality of such a set is the well-known Euler function \( \varphi (n) \), which is one of the classical functions in the number theory. The fields of its application are quite
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Influence of Mathematical Model Parameters on Plasma Transfer in a Helical Magnetic Field J. Appl. Ind. Math. Pub Date : 2024-02-16 G. G. Lazareva, I. P. Oksogoeva, A. V. Sudnikov
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Analysis and Numerical Simulation of the Initial–Boundary Value Problem for Quasilinear Equations of Complex Heat Transfer J. Appl. Ind. Math. Pub Date : 2024-02-16 A. Yu. Chebotarev, N. M. Pak, A. E. Kovtanyuk
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Temetos Software Platform and Its Applications in Problems of Continuum Mechanics J. Appl. Ind. Math. Pub Date : 2024-02-16 M. P. Galanin, V. V. Lukin, A. S. Rodin
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On the Error in Determining the Protective Layer Boundary in the Inverse Heat Problem J. Appl. Ind. Math. Pub Date : 2024-02-16 V. P. Tanana, B. A. Markov
Abstract The paper studies the problem of determining the error introduced by inaccuracy in determining the thickness of a protective heat-resistant coating of composite materials. The mathematical problem is the heat equation on an inhomogeneous half-line. The temperature on the outer side of the half-line ( \( x=0 \)) is considered unknown over an infinite time interval. To find it, the temperature
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Modeling Competition between Populations with Multi-Taxis J. Appl. Ind. Math. Pub Date : 2023-11-04 A. V. Budyansky, V. G. Tsybulin
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On a Lower Bound for the Number of Bent Functions at the Minimum Distance from a Bent Function in the Maiorana–McFarland Class J. Appl. Ind. Math. Pub Date : 2023-11-04 D. A. Bykov, N. A. Kolomeec
Abstract Bent functions at the minimum distance \( 2^n \) from a given bent function of \( 2n \) variables belonging to the Maiorana–McFarland class \( \mathcal {M}_{2n} \) are investigated. We provide a criterion for a function obtained using the addition of the indicator of an \( n \)-dimensional affine subspace to a given bent function from \( \mathcal {M}_{2n} \) to be a bent function as well.
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A Modified Quadratic Interpolation Method for Root Finding J. Appl. Ind. Math. Pub Date : 2023-11-04 V. V. Bogdanov, Yu. S. Volkov
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Additional Constraints for Dynamic Competitive Facility Location Problem J. Appl. Ind. Math. Pub Date : 2023-11-04 V. L. Beresnev, A. A. Melnikov
Abstract We consider a competitive facility location model where competing parties (Leader and Follower) make decisions considering changes of the set of customers happening during the planing horizon consisting a known number of time periods. It is assumed that the Leader makes a decision on opening their facilities at the beginning of the planning horizon, while the Follower can revise their decision
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Estimates of Implementation Complexity for Quantum Cryptanalysis of Post-Quantum Lattice-Based Cryptosystems J. Appl. Ind. Math. Pub Date : 2023-11-04 A. O. Bakharev
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Simulation of Substrate Cooling during Evaporation of Pure Vapor from the Surface of a Thin Liquid Film and Droplets J. Appl. Ind. Math. Pub Date : 2023-11-04 A. L. Kupershtokh, D. A. Medvedev, A. V. Alyanov
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On the Equilibrium of Elastic Bodies with a Weakly Curved Junction J. Appl. Ind. Math. Pub Date : 2023-11-04 A. M. Khludnev
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On the Time of the First Achievement of a Level by an Ascending–Descending Process J. Appl. Ind. Math. Pub Date : 2023-11-04 V. I. Lotov
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On the Integrability and Stability of Stationary Solutions of the Goryachev–Sretensky Gyrostat J. Appl. Ind. Math. Pub Date : 2023-11-04 A. A. Kosov, E. I. Semenov
Abstract The equations of motion of the Goryachev–Sretensky gyrostat are studied. All stationary solutions are found on the invariant set of the zero level of the area integral, and their stability is analyzed. For the case where the suspension point coincides with the center of mass and the action of a gyroscopic moment is of a special type, integration by quadratures is performed.
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Hypergraph Edge Representations with the Use of Homological Paths J. Appl. Ind. Math. Pub Date : 2023-11-04 M. N. Vyalyi, V. E. Karpov
Abstract We consider the problem of realization of hypergraphs on a graph provided each hyperedge is realized by a subgraph in which exactly two vertices have odd degree. This problem is related to Cycle Double Cover conjecture. We prove that checking the existence of realization is computationally hard. The hardness is proved in various settings: for realizations on all graphs, on simple graphs, and
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Decomposition of Singularly Perturbed Optimal Tracking Problems with a Given Reference Trajectory J. Appl. Ind. Math. Pub Date : 2023-11-04 V. A. Sobolev
Abstract For the first time, the problem of optimal tracking with a given reference trajectory and an integral quadratic performance criterion in the presence of singular perturbations is considered. The decomposition method is used to analyze singularly perturbed differential systems that arise in solving this problem. The method is based on the technique of integral manifolds of fast and slow motions
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PTAS for Problems of Vector Choice and Clustering with Various Centers J. Appl. Ind. Math. Pub Date : 2023-11-04 A. V. Pyatkin
Abstract We consider two problems that are close in terms of formulation. The first one is that of clustering, i.e., partitioning the set of \( d \)-dimensional Euclidean vectors into a given number of clusters with different types of centers so that the total variance would be minimum. Here, by variance we mean the sum of squared distances between the elements of the clusters and their centers. There
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Ray Transforms of the Moments of Planar Tensor Fields J. Appl. Ind. Math. Pub Date : 2023-11-04 E. Yu. Derevtsov
Abstract The paper considers ray transforms of the moments of symmetric tensor fields of arbitrary rank given in the unit disk. The basic geometric and differential properties of mixed ray transforms of tensor fields and mixed ray transforms of the moments of tensor fields are established. A simple algorithm for reconstructing a low-rank tensor field from known mixed ray transforms of its moments is
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A Difference Method for Calculating the Heat Flux on an Inaccessible Boundary in a Heat Conduction Problem J. Appl. Ind. Math. Pub Date : 2023-11-04 S. B. Sorokin
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Algorithm for Monitoring Optical Coating Sputter Deposition Based on Broadband Measurement Sample Data J. Appl. Ind. Math. Pub Date : 2023-11-04 V. D. Shinkarev, D. V. Lukyanenko, A. V. Tikhonravov, A. G. Yagola
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On Graphs and Structural Formulas of the Mechanisms Theory J. Appl. Ind. Math. Pub Date : 2023-11-04 M. D. Kovalev
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Determining the Heat Flux Density in the Area of a Contact Line during the Evaporation of Liquid into a Bubble J. Appl. Ind. Math. Pub Date : 2023-11-04 N. E. Sibiryakov, D. Yu. Kochkin, O. A. Kabov, A. L. Karchevsky
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Central Regulatory Circuit of the Drosophila Mechanoreceptor Morphogenesis System: Effects of Mutations J. Appl. Ind. Math. Pub Date : 2023-11-04 D. P. Furman, T. A. Bukharina, V. P. Golubyatnikov
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On Trees with a Given Diameter and the Extremal Number of Distance- $$k$$ Independent Sets J. Appl. Ind. Math. Pub Date : 2023-11-04 D. S. Taletskii
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Enumeration of Labeled Bi-Block Graphs J. Appl. Ind. Math. Pub Date : 2023-09-01
Abstract A bi-block graph is a connected graph in which all blocks are complete bipartite graphs. Labeled bi-block graphs and bridgeless bi-block graphs are enumerated exactly and asymptotically by the number of vertices. It is proved that almost all labeled connected bi-block graphs have no bridges. In addition, planar bi-block graphs are enumerated, and an asymptotic estimate is found for the number
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A Parallel “Go with the Winners” Algorithm for Some Scheduling Problems J. Appl. Ind. Math. Pub Date : 2023-09-01
Abstract We consider an approach to solving permutation scheduling problems using graphics accelerators. A parallel evolutionary algorithm based on the iterated random local search and the “Go with the winners” algorithm is proposed. A computational experiment was carried out on test instances of the classic Flow Shop problem and one applied production scheduling problem with time windows. The results
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Reconstruction of Three-Dimensional Vector Fields Based on Values of Normal, Longitudinal, and Weighted Radon Transforms J. Appl. Ind. Math. Pub Date : 2023-09-01
Abstract The paper considers the vector tomography problem of reconstructing a three-dimensional vector field based on the values of unweighted (normal and longitudinal) and weighted Radon transforms. Using the detailed decomposition of vector fields obtained in the paper, connections are established between the unweighted and weighted Radon transforms acting on vector fields and the Radon transform
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Numerical Investigation of the Interaction between a Shock Wave and Aqueous Foam with Compaction J. Appl. Ind. Math. Pub Date : 2023-08-07 P. A. Chuprov, S. V. Fortova, P. S. Utkin
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Inverse Problem of Pure Bending of a Beam under Creep Conditions J. Appl. Ind. Math. Pub Date : 2023-08-07 S. V. Boyko, A. Yu. Larichkin
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A Mathematical Model of a Wastewater Treatment Filter Using Biofilms J. Appl. Ind. Math. Pub Date : 2023-08-07 T. N. Bobyleva, A. S. Shamaev, O. V. Yantsen
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Numerical Investigation of the Structure of Turbulent Flow and Heat Transfer in a Planar Channel with Hexagonal Honeycomb of Varying Depth J. Appl. Ind. Math. Pub Date : 2023-08-07 A. V. Barsukov, V. V. Terekhov, V. I. Terekhov
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Numerical Simulation of a Turbulent Gas Flow over a Wavy Surface J. Appl. Ind. Math. Pub Date : 2023-08-07 Yu. S. Apostol, I. S. Vozhakov
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Direct Numerical Simulation of the Peripheral and Internal Configurations of a Model Assembly of Fuel Elements J. Appl. Ind. Math. Pub Date : 2023-08-07 V. A. Ivashchenko, P. D. Lobanov, N. I. Yavorsky, M. P. Tokarev, R. I. Mullyadzhanov
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Phase Image Decoding Algorithm for Three-Dimensional Geometry Measurements of Dynamic Objects J. Appl. Ind. Math. Pub Date : 2023-08-07 S. V. Dvoinishnikov, D. V. Kulikov, V. G. Meledin, V. V. Rakhmanov
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The Problem of Determining the Coefficient Multiplying a Power-Law Gradient Nonlinearity in a Semilinear Wave Equation J. Appl. Ind. Math. Pub Date : 2023-08-07 V. G. Romanov, T. V. Bugueva
Abstract We consider a one-dimensional inverse problem of determining the coefficient multiplying a power-law gradient nonlinearity in a semilinear wave equation. Theorems on the existence and uniqueness of the solution of the direct problem and local existence and stability of the solution of the inverse problem are proved.
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Numerical Analytical Methods for Calculating Wave Fields and Reconstructing the Velocity Characteristics of Inhomogeneous Elastic Media in the Baikal Rift Zone J. Appl. Ind. Math. Pub Date : 2023-08-07 M. S. Khairetdinov, A. A. Mikhailov, V. V. Kovalevsky, D. L. Pinigina, A. A. Yakimenko
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Scheduling Problem for Call Center Operators J. Appl. Ind. Math. Pub Date : 2023-08-07 A. V. Eremeev, M. A. Sakhno
Abstract The paper is devoted to solving the problem of scheduling the work of the call center staff. A model of integer linear programming is formulated, the problem is shown to be NP-hard, and a genetic algorithm is proposed that takes into account the specifics of the problem. An experimental comparison of optimal solutions obtained using the CPLEX package with solutions found by the genetic algorithm
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Hydrodynamic Modeling of Laser-Induced Shock Waves in Aluminum in a Cylindrically Symmetric Statement J. Appl. Ind. Math. Pub Date : 2023-08-07 V. V. Shepelev
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Equivalence Relations in Convex Optimization J. Appl. Ind. Math. Pub Date : 2023-08-07 E. A. Nurminski
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Stochastic Modeling of Time- and Place-Local Contacts of Individuals in an Epidemic Process J. Appl. Ind. Math. Pub Date : 2023-08-07 N. V. Pertsev, V. A. Topchii, K. K. Loginov
Abstract A continuous–discrete stochastic model is presented that describes the dynamics of the number of susceptible and infectious individuals visiting a certain facility. The individuals enter the facility both separately and as part of groups of individuals arranged according to some characteristics. The duration of stay of individuals on the territory of the facility is specified using distributions
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An Effective Multigrid Method for Solving Problems of High-Frequency Vibrational Convection J. Appl. Ind. Math. Pub Date : 2023-08-07 A. I. Fedyushkin, K. A. Ivanov, A. A. Puntus
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A Testing Set for Preparata-Like Codes J. Appl. Ind. Math. Pub Date : 2023-08-07 A. Yu. Vasil’eva
Abstract The reconstruction of an object of a given class by its intersection with some (so-called testing) set is studied. For the class, we consider Preparata-like codes, i.e., nonlinear codes of length \( n=2^{2m}-1 \), \( m=2,3,\dots \), with code distance 5 and twice the size of a linear code of the same length and distance. Conditions are determined under which the union of a few concentric spheres
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Three-Dimensional Simulation of Singleand Multi-Phase Flows in Roughness Microchannels J. Appl. Ind. Math. Pub Date : 2023-08-07 O. A. Solnyshkina, N. B. Fatkullina, A. Z. Bulatova
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Inelastic Collision of Resonant Solitons in a Bubble Medium J. Appl. Ind. Math. Pub Date : 2023-08-07 I. A. Ogorodnikov
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Mathematical Modelling of COVID-19 Incidence in Moscow with an Agent-Based Model J. Appl. Ind. Math. Pub Date : 2023-08-07 V. V. Vlasov, A. M. Deryabin, O. V. Zatsepin, G. D. Kaminsky, E. V. Karamov, A. L. Karmanov, S. N. Lebedev, G. N. Rykovanov, A. V. Sokolov, M. A. Teplykh, A. S. Turgiyev, K. E. Khatuntsev
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Interaction of a Liquid Drop with a Superhydrophobic Surface J. Appl. Ind. Math. Pub Date : 2023-08-07 P. M. Somvanshi, V. V. Cheverda, O. A. Kabov
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S-Blocks of Special Type with Few Variables J. Appl. Ind. Math. Pub Date : 2023-08-07 D. A. Zyubina, N. N. Tokareva
Abstract When constructing block ciphers, it is necessary to use vector Boolean functions with special cryptographic properties as S-blocks for the cipher’s resistance to various types of cryptanalysis. In this paper, we investigate the following S-block construction: let \( \pi \) be a permutation on \( n \) elements, let \( \pi ^i \) be the \( i \)-fold application of the permutation \( \pi \), and
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Nonlocal Inverse Problem for Determining the Unknown Coefficient in the Beam Vibration Equation J. Appl. Ind. Math. Pub Date : 2023-08-07 U. D. Durdiev, Z. R. Bozorov
Abstract The paper is devoted to the study of the direct problem for the vibration of a homogeneous beam of finite length with nonlocal time conditions. Necessary and sufficient conditions for the existence of a solution of the direct problem are obtained. For the direct problem, we study the inverse problem of determining the time-dependent coefficient multiplying a lower-order derivative. Using the
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Numerical Simulation of Elastic Turbulence in a Bounded Two-Dimensional Cell J. Appl. Ind. Math. Pub Date : 2023-05-15 V. V. Denisenko, S. V. Fortova
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Mathematical Modeling of the Heavy Oil Production with Hydraulic Fracturing under Radio-Frequency Electromagnetic Irradiation J. Appl. Ind. Math. Pub Date : 2023-05-15 A. Ya. Davletbaev, L. A. Kovaleva, Z. S. Mukhametova
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On a Countable Family of Boundary Graph Classes for the Dominating Set Problem J. Appl. Ind. Math. Pub Date : 2023-05-15 G. S. Dakhno, D. S. Malyshev
Abstract A hereditary class is a set of simple graphs closed under deletion of vertices; every such class is defined by the set of its minimal forbidden induced subgraphs. If this set is finite, then the class is said to be finitely defined. The concept of a boundary class is a useful tool for the analysis of the computational complexity of graph problems in the family of finitely defined classes.
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Mathematical Modeling of Heat Transfer in a Room with a Gas Infrared Emitter, an Air Exchange System, and a Local Fence of the Working Area J. Appl. Ind. Math. Pub Date : 2023-05-15 B. V. Borisov, A. V. Vyatkin, G. V. Kuznetsov, V. I. Maksimov, T. A. Nagornova
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Defining Equations of the Anisotropic Moment Linear Theory of Elasticity and the Two-Dimensional Problem of Pure Shear with Constrained Rotation J. Appl. Ind. Math. Pub Date : 2023-05-15 B. D. Annin, N. I. Ostrosablin, R. I. Ugryumov
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Adaptive Data Processing Algorithm in Problems of Measuring Three-Dimensional Geometry by Phase Triangulation Methods under Additive Noise in the Photodetector J. Appl. Ind. Math. Pub Date : 2023-05-15 S. V. Dvoinishnikov, G. V. Bakakin, V. O. Zuev, V. G. Meledin
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On Search of a Nash Equilibrium in Quasiconcave Quadratic Games J. Appl. Ind. Math. Pub Date : 2023-05-15 I. M. Minarchenko
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Numerical Investigation of a Viscous Two-Dimensional Fluid Flow in a Closed Cell J. Appl. Ind. Math. Pub Date : 2023-05-15 A. N. Doludenko, I. V. Kolokolov, V. V. Lebedev, S. V. Fortova
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New Cases of Polynomial Solvability of the Independent Set Problem for Graphs with Forbidden Triodes J. Appl. Ind. Math. Pub Date : 2023-05-15 S. V. Sorochan
Abstract A triode is a tree with three leaves and a single vertex of degree \( 3 \). The independent set problem is solvable in polynomial time for graphs that do not contain a triode as a subgraph with any fixed number of vertices. If the induced triode with \( k \) vertices is forbidden, then for \( k>5 \) the complexity of this problem is unknown. We consider intermediate cases where an induced
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Inverse Problem for the Wave Equation with a Polynomial Nonlinearity J. Appl. Ind. Math. Pub Date : 2023-05-15 V. G. Romanov, T. V. Bugueva
Abstract For the wave equation containing a nonlinearity in the form of an \( n \)th order polynomial, we study the problem of determining the coefficients of the polynomial depending on the variable \( x\in \mathbb {R}^3 \). We consider plane waves that propagate in a homogeneous medium in the direction of a unit vector \( \boldsymbol \nu \) with a sharp front and incident on an inhomogeneity localized
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Homogenization of Viscoelastic Heterogeneous Media with Allowance for Collective Influence of Boundaries J. Appl. Ind. Math. Pub Date : 2023-05-15 A. V. Mishin
Abstract We obtain effective viscoelasticity coefficients for a heterogeneous medium based on a generalized derivative formalism that reflects internal boundaries in the heterogeneous medium. A solution is sought for the homogenized Green’s function of the resulting modified operator taking into account the homogenization and subsequent analysis of the operator. Based on the obtained solution of the