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Mathematics

Mathematics

Recent Submissions

  • 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.
  • 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 ...
  • 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 ...
  • 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, ...
  • Arcet, Barbara; Dukarić, Maša; Kadyrsizova, Zhibek (MDPI, 2020-06-08)
    We consider a two-dimensional system which is a mathematical model for a temporal evolution of a well-stirred isothermal reaction system. We give sufficient conditions for the existence of purely imaginary eigenvalues of ...
  • Baiseitova, Kuralay (Nazarbayev University School of Sciences and Humanities, 2020)
    Ceramic paste extrusion process, such as 3D printing, is commonly used for fabricating high quality products, like catalyst pellets for heterogeneous catalytic reactors, porous catalyst for cleaning gas released from an ...
  • Raimbekov, Temirlan (Nazarbayev University School of Sciences and Humanities, 2020)
    This thesis first reviews the Conditional Random Fields (CRF) model. Then, we introduce the Hierarchy and Exclusion (HEX) graphs and describe the probabilistic classification model based on these graphs (HEX model). Next, ...
  • 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 ...
  • Chalkarova, Nagima (Nazarbayev University School of Sciences and Humanities, 2020-05-01)
    There has been great interest in membrane reactors over the last decades. The limitation of selectivity and yield of certain products in chemical reactions is an important and not sfficiently solved problem in the field ...
  • 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 ...
  • Ruzhansky, Michael; Sabitbek, Bolys; Suragan, Durvudkhan (Springer, 2018-06-29)
    In this paper, generalised weighted Lp-Hardy, Lp-Caffarelli–Kohn–Nirenberg, and Lp-Rellich inequalities with boundary terms are obtained on stratified Lie groups. As consequences, most of the Hardy type inequalities and ...
  • 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 ...
  • Shakipov, Mansur (Nazarbayev University School of Sciences and Humanities, 2020-05-25)
    Finite Element Method (FEM) is a widely used method of solving initial boundaryvalue problems from mechanical engineering. It allows addressing irregular domains and force terms, while enabling careful analysis of the ...
  • Adil, Asem (Nazarbayev University School of Sciences and Humanities, 2020-04-30)
    In this project, the bivariate dependence structures between the Japanese Yen, Chinese Yuan, and Hong Kong Dollar exchange rates against the US Dollar are studied by using time-invariant and time-varying copulas. The ...
  • Abdikarim, Aidana; Suragan, Durvudkhan (Nazarbayev University School of Sciences and Humanities, 2020-08-01)
    The main purpose of this capstone project is to do some analysis related to (p,q)-sub-Laplacians on the Heisenberg group. In the first part of the project, Green’s identities for (p,q)-sub-Laplacians are given on the ...
  • Arziyev, Sukhrat (Nazarbayev University School of Sciences and Humanities, 2020-04-30)
    The theory of option pricing made a dramatic step forward when Black and Scholes published a centennial paper with a solution for the prices of European call and put options. However, their solution only deals with the ...
  • Kazbek, Rakhymzhan (Nazarbayev University School of Sciences and Humanities, 2020-05-07)
    In this thesis, the proposed problem is to solve the system of two-coupled Black-Scholes equations, which is the so called TF (Tsiveriotis and Fernandes) model [16], for pricing the convertible bonds by the finite element ...
  • Zhumakhanova, Gulzat (Nazarbayev University School of Sciences and Humanities, 2020-04-30)
    In this thesis work, the Leland model for pricing of European options is studied. Firstly, the derivation of the Leland model is introduced by using Ito’s lemma and synthesized replicate portfolio methodology. Then the ...
  • Tengel, Kassymkhan (Nazarbayev University School of Sciences and Humanities, 2020-04-20)
    This thesis is aimed to study boundary conditions for heat potentials for degeneratetype diffusion equations with initial condition and conductivity coefficient given by a time variable. Equations can be one-dimensional ...

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