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  • Amanbek, Yerlan; Singh, Gurpreet; Wheeler, Mary F.; Duijn, Hansvan (ELSEVIER, 2019-03-05)
    We propose an adaptive multiscale method to improve the efficiency and the accuracy of numerical computations by combining numerical homogenization and domain decomposition for modeling flow and transport. Our approach ...
  • Amanbek, Yerlan; Balgayev, Ilyas; Batyrkhanov, Kanat; Tan, Margaret (MDPI, 2020-07-09)
    Information and Communication Technology has been gaining importance in the economy of Kazakhstan, the largest landlocked country. In this paper, we investigate the factors that influence Kazakhstan’s e-Government portal ...
  • Ghazy, Mohammed; Elgindi, Mohamed B.; Wei, Dongming (Alexandria Engineering Journal, 2018-11-22)
    In this paper, shapes of nonlinear blood vessels, surrounded by nonlinear soft tissues,and buckled due to radial pressure are solved for analytically and numerically. The blood flow ratesthrough the bucked shapes are then ...
  • Zhumekenov, Abylay; Takhanov, Rustem; Castro, Alejandro J.; Assylbekov, Zhenisbek (John Wiley and Sons Inc, 2021-03-23)
    The paper investigates approximation error of two-layer feedforward Fourier Neural Networks (FNNs). Such networks are motivated by the approximation properties of Fourier series. Several implementations of FNNs were proposed ...
  • Mustafa, Manat; Bazhenov, Nikolay; Mauro, Luca San; Sorbi, Andrea; Yamaleev, Mars (Springer, 2020-02-13)
    Computably enumerable equivalence relations (ceers) received a lot of attention in the literature. The standard tool to classify ceers is provided by the computable reducibility ⩽c. This gives rise to a rich degree structure. ...
  • Merembayev, Timur; Kurmangaliyev, Darkhan; Bekbauov, Bakhbergen; Amanbek, Yerlan (MDPI AG, 2021-03-29)
    Defining distinctive areas of the physical properties of rocks plays an important role in reservoir evaluation and hydrocarbon production as core data are challenging to obtain from all wells. In this work, we study the ...
  • Assylbekov, Zhenisbek; Takhanov, Rustem (AI ACCESS FOUNDATION, 2019-09)
    This paper takes a step towards theoretical analysis of the relationship between word embeddings and context embeddings in models such as word2vec. We start from basic probabilistic assumptions on the nature of word vectors, ...
  • Ruzhansky, Michael; Suragan, Durvudkhan (SUOMALAINEN TIEDEAKATEMIA, 2019)
    We prove a range of critical Hardy inequalities and uncertainty type principles on one of most general subclasses of nilpotent Lie groups, namely the class of homogeneous groups. Moreover, we establish a new type of critical ...
  • Sabit, F.; Shakipov, Mansur; Skrzypacz, Piotr; Golman, Boris (The Institute of Combustion Problems, 2019-02-20)
    The catalytic chemical reaction is usually carried out in a pellet where the catalyst is distributed throughout its porous structure. The selectivity, yield and productivity of the catalytic reactor often depend on the ...
  • Adhikari, Sharmistha; Ray, Sangram; Biswas, Gosta P.; Obaidat, Mohammad S. (International Journal of Communication Systems, 2018-10-25)
    Initially, Internet has evolved as a resource sharing model where resources are identified by IP addresses. However, with rapid technological advancement, resources/hardware has become cheap and thus, the need of sharing ...
  • Mac´ıas-D´ıaz, Jorge E.; Bountis, Anastasios; Christodoulidi, Helen (Mathematics in Engineering, 2019-04-03)
    We consider a family of 1-dimensional Hamiltonian systems consisting of a large number of particles with on-site potentials and global (long range) interactions. The particles are initially at rest at the equilibrium ...
  • Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa (Springer, 2020-06-10)
    In this paper we describe the Euler semigroup {e−tE∗E}t>0 on homogeneous Lie groups, which allows us to obtain various types of the Hardy–Sobolev and Gagliardo–Nirenberg type inequalities for the Euler operator E. Moreover, ...
  • Wei, Dongming; Al-Ashhab, Samer (Elsevier, 2019-04-20)
    The reduced problem of the Navier–Stokes and the continuity equations, in two-dimensional Cartesian coordinates with Eulerian description, for incompressible non-Newtonian fluids, is considered. The Ladyzhenskaya model, ...
  • Kashkynbayev, Ardak; Amanbek, Yerlan; Shupeyeva, Bibinur; Kuang, Yang (AIMS Press, 2020-10-23)
    Mathematical modeling for cancerous disease has attracted increasing attention from the researchers around the world. Being an effective tool, it helps to describe the processes that happen to the tumour as the diverse ...
  • Amanbek, Yerlan; Du, Zhibin; Erlangga, Yogi; da Fonseca, Carlos M.; Kurmanbek, Bakytzhan; Pereira, António (De Gruyter Open, 2020)
    In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.
  • Kurmanbek, Bakytzhan; Erlangga, Yogi; Amanbek, Yerlan (Elsevier B.V., 2021-06-08)
    This paper analyzes the inverse of near Toeplitz pentadiagonal matrices, arising from a finite-difference approximation to the fourth-order nonlinear beam equation. Explicit non-recursive inverse matrix formulas and bounds ...
  • Sica, Francesco (De Gruyter, 2020-11-17)
    We introduce a new approach to (deterministic) integer factorisation, which could be described in the cryptographically fashionable term of “factoring with hints”: we prove that, for any ϵ > 0, given the knowledge of the ...
  • Sica, Francesco (Journal of Mathematical Cryptology, 2021)
    We introduce a new approach to (deterministic) integer factorisation, which could be described in the cryptographically fashionable term of “factoring with hints”: we prove that, for any ϵ > 0, given the knowledge of the ...
  • Ruzhansky, Michael; Sabitbek, Bolys; Suragan, Durvudkhan (SpringerOpen, 2020-07-04)
    In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group ...
  • Kashkynbayev, Ardak; Koptleuova, Daiana (AIMS Press, 2020-06-05)
    A tick-borne disease model is considered with nonlinear incidence rate and piecewise constant delay of generalized type. It is known that the tick-borne diseases have their peak during certain periods due to the life cycle ...

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