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Browsing Mathematics by Subject "Research Subject Categories::MATHEMATICS"

Browsing Mathematics by Subject "Research Subject Categories::MATHEMATICS"

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  • Calculation of manifold’s tangent space at a given point from noisy data 
    Toleubek, Moldir (Nazarbayev University School of Sciences and Humanities, 2020-05-04)
    Recently, several studies have been conducted in a field of machine learning to construct manifolds from data in a complex multidimensional space. Therefore manifold learning becomes remarkably attractable among researchers. ...
  • Constructing Word Embeddings from the Random Hyperbolic Graph 
    Nurmukhamedov, Sultan (Nazarbayev University School of Sciences and Humanities, 2020-04-30)
    Recent studies have shown that the appropriate space for word embeddings is not the Euclidean space, but negatively curved, hyperbolic space. We randomly throw points in the hyperbolic disc and claim that these points are ...
  • Euler semigroup, Hardy–Sobolev and Gagliardo–Nirenberg type inequalities on homogeneous groups 
    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, ...
  • Existence of self-similar solutions of the two-dimensional Navier–Stokes equation for non-Newtonian fluids 
    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, ...
  • EXISTENCE OF TRAVELING WAVE SOLUTIONS TO DATA-DRIVEN GLIOBLASTOMA MULTIFORME GROWTH MODELS WITH DENSITY-DEPENDENT DIFFUSION 
    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 ...
  • Experimental study of Manifold learning and tangent propagation 
    Aman, Ayazhan (Nazarbayev University School of Sciences and Humanities, 2020-05-12)
    In many data mining problems dealing with artificially high-dimensional data, can cause a lot of difficulties. This is due to the fact that interpreting a high-dimensional data can be very challenging. There are several ...
  • EXPLICIT DETERMINANTAL FORMULA FOR A CLASS OF BANDED MATRICES 
    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.
  • FACTORING WITH HINTS 
    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 ...
  • A Finite Element Approach to Solving Leland Model for Options Pricing 
    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 ...
  • Finite Element Method for Retaining Walls Subjected to Swelling Pressure 
    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 ...
  • Finite Elements Solutions to the Black - Scholes Equation 
    Zhanatova, Nazym (Nazarbayev University School of Sciences and Humanities, 2020-05-01)
    Nowadays, for the financial industry it is important to implement mathematical tools of the advanced level. World’s well-known economists Fischer Black and Myron Scholes introduced the distinguished equation for option ...
  • GEOMETRIC HARDY AND HARDY-SOBOLEV INEQUALITIES ON HEISENBERG GROUPS 
    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 ...
  • GLOBAL DYNAMICS OF TICK-BORNE DISEASES 
    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 ...
  • Modeling dependencies between exchange rates using timeinvariant and time-varying copulas 
    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 ...
  • (P,Q)-SUB-LAPLACIANS ON THE HEISENBERG GROUP 
    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 ...
  • Pricing Convertible Bonds by Finite Element Method 
    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 ...
  • Qualitative Study of a Well-Stirred Isothermal Reaction Model 
    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 ...
  • Robust Prediction with Risk Measures 
    Duisenbay, Yerlan (Nazarbayev University School of Sciences and Humanities, 2020-04-29)
    This thesis deals with coherent risk measures and its simulation with respect to different probability distributions. This study gives a numerical scheme to approximate any coherent risk measure via a sum of specific ...
  • Simulations of Implied Volatility and Option Pricing using Neural Networks and Finite Difference Methods for Heston Model 
    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 ...
  • Some applications of potential theory for a degenerate type diffusion equation 
    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 ...