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  • On Accuracy of Approximation for the Resource Constrained Shortest Path Problem 

    Soldatenko, Aleksandr A.; Солдатенко, Александр А. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    The paper we considers the Resource Constrained Shortest Path problem (RCSP). This problem is NP- hard extension of a well-known shortest path problem in the directed graph G = (V;E). In the RCSP problem each arc e from ...
  • Hardware Architectures of the QR-Decomposition Based on a Givens Rotation Technique 

    Sokolovskiy, Alexey V.; Veisov, Evgeny A.; Tyapkin, Valery N.; Dmitriev, Dmitry D.; Соколовский, Алексей В.; Вейсов, Евгений А.; Тяпкин, Валерий Н.; Дмитриев, Дмитрий Д. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    The fixed-point hardware architecture of the QR decomposition is constrained by a several issues that leads to decrease of a compute accuracy depending on a matrix size. In this article described the hardware architectures ...
  • Elastoplastic Bending of the Console with Transverse Force 

    Senashov, Sergei I.; Savostyanova, Irina L.; Cherepanova, Olga N.; Сенашов, Сергей И.; Савостьянова, Ирина Л.; Черепанова, Ольга Н. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    In the article an elastoplastic boundary for the console being bent with transverse force when the point of force is not situated in the centroid of transverse section was built with the use of the conservation laws. In ...
  • On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions 

    Rakhmonov, Zafar R.; Urunbayev, Jasur E.; Рахмонов, Зафар Р.; Урунбаев, Жасур Э. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper. Critical exponents of Fujita type and critical exponents of global existence ...
  • On Distribution of Sums of Random Variables with Invariant Links and their Modeling 

    Chebotarev, Sergey V.; Чеботарев, Сергей В. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    A general form of distribution of a sum of a finite number of absolutely continuous random variables is obtained, examples of constructing and modeling sequences with averaged links (with invariant links) are considered ...
  • Classification of Hyperfunctions of Rank 2 with Respect to Membership in the Maximal Partial Ultraclones 

    Badmaev, Sergey A.; Бадмаев, Сергей А. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    In this paper, we consider the set of hyperfunctions, which is a subset of the full partial ultraclone of rank 2. For hyperfunctions, the problem of their classification with respect to membership in the the maximal ...
  • Local Automorphisms of Nil-triangular Subalgebras of Classical Lie Type Chevalley Algebras 

    Zotov, Igor N.; Зотов, Игорь Н. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    We study the problem of describing local automorphisms of nil-triangular subalgebra of the Chevalley algebra over an associative commutative ring with identity
  • Construction and Analysis of Exact Solution of Oberbeck–Boussinesque Equations 

    Stepanova, Irina V.; Степанова, Ирина В. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    A unidirectional stationary binary mixture motion in a horizontal channel is under study. New exact solution of the Oberbeck–Boussinesque equations is constructed for description of the mentioned flow. The obtained ...
  • Modelling of Electrochemically Switchable Ion Transport in Nanoporous Membranes with Conductive Surface 

    Ryzhkov, Ilya I.; Vyatkin, Anton S.; Medvedeva, Maria I.; Рыжков, Илья И.; Вяткин, Антон С.; Медведева, Мария И. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    The impact of potential applied to the conductive surface of nanoporous membrane on the membrane potential at zero current is investigated theoretically on the basis of two–dimensional Space–charge model. The membrane ...
  • Distribution of Small Values of Bohr Almost Periodic Functions with Bounded Spectrum 

    Lawton, Wayne M.; Лоутон, Уэйн М. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    For f a nonzero Bohr almost periodic function on R with a bounded spectrum we proved there exist Cf > 0 and integer n > 0 such that for every u > 0 the mean measure of the set f x : jf(x)j < u g is less than Cf u1=n: For ...
  • Mathematical Discrete-Time Model of the Heterogeneous Integrated System of Corporate Information Management 

    Kravets, Oleg Ja.; Кравец, Олег Я. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    The article considers some problems and peculiarities of the modelling and rational design of heteroge- neous traffic servicing integrated systems. The aim of this paper is to develop the apparatus of modelling for ...
  • Difference Equations and Generating Functions for some Lattice Path Problems 

    Chandragiri, Sreelatha; Чандрагири, Шрилатха (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    An identity for generating functions is proved in this paper. A novel method to compute the number of restricted lattice paths is developed on the basis of this identity. The method employs a difference equation with ...
  • Instability of a Two-layer System with Deformable Interfaces under Laser Beam Heating 

    Bekezhanova, Victoria B.; Goncharova, Olga N.; Ivanova, Natalia A.; Klyuev, Denis S.; Бекежанова, Виктория Б.; Гончарова, Ольга Н.; Иванова, Наталья А.; Клюев, Денис С. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    New non-standard problem of thermocapillary convection is studied to analyze the flows arising in a two- layer system under action of an intense thermal exposure on the free boundary by a laser beam. Char- acteristics ...
  • Strong Bending of a Beam from a Fibrous Composite, Differently Resistant to Tension and Compression 

    Annin, Boris D.; Sadovskii, Vladimir M.; Petrakov, Igor E.; Vlasov, Anton Yu.; Аннин, Борис Д.; Садовский, Владимир М.; Петраков, Игорь Е.; Власов, Антон Ю. (Сибирский федеральный университет. Siberian Federal University, 2019-10)
    For the analysis of bending of a thin rod made of fiber composite, the generalized Euler elastic equation is used, taking into account different resistance of the material to tension and compression, the influence of ...
  • Domains of Convergence for A-hypergeometric Series and Integrals 

    Nilsson, Lisa; Passare, Mikael; Tsikh, August K.; Нильсон, Лиса; Пассаре, Микаэль; Цих, Август К. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    We prove two theorems on the domains of convergence for A-hypergeometric series and for associated Mellin-Barnes type integrals. The exact convergence domains are described in terms of amoebas and coamoebas of the ...
  • The Closure and the Interior of C-convex Sets 

    Znamenskij, Sergej V.; Знаменский, Сергей В. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    C-convexity of the closure, interiors and their lineal convexity are considered for C-convex sets under additional conditions of boundedness and nonempty interiors. The following questions on closure and the interior of ...
  • Locally Explicit Fundamental Principle for Homogeneous Convolution Equations 

    Vidras, Alekos; Видрас, Алекос (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    In the present paper a locally explicit version of Ehrenpreis’s Fundamental Principle for a system of homogeneous convolution equations f μ j = 0, j = 1; : : : ;m, f ∈ E(Rⁿ), μ j ∈ E′(Rⁿ), is derived, when the Fourier ...
  • On Integration of Functions of Complexity One 

    Beloshapka, Valery K.; Белошапка, Валерий К. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    We describe functions of complexity one with antiderivative of the same complexity
  • The Discrete Analog of the Newton-Leibniz Formula in the Problem of Summation over Simplex Lattice Points 

    Leinartas, Evgeniy K.; Shishkina, Olga A.; Лейнартас, Евгений К.; Шишкина, Ольга А. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    Definition of the discrete primitive function is introduced in the problem of summation over simplex lattice points. The discrete analog of the Newton-Leibniz formula is found
  • The de Rham Cohomology through Hilbert Space Methods 

    Malass, Ihsane; Tarkhanov, Nikolai; Малас, Исан; Тарханов, Николай (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    We discuss canonical representations of the de Rham cohomology on a compact manifold with boundary. They are obtained by minimising the energy integral in a Hilbert space of differential forms that belong along with the ...

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