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Browsing Capstone Projects by Title

Browsing Capstone Projects by Title

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  • Finite Element Solution of Thermal Gee-Lyon Flows in a Circular Tube 
    Aimambet, Narken (Nazarbayev University School of Science and Technology, 2016-05)
    The goal of this project is to calculate the temperature distribu- tion of certain pressure-driven non-Newtonian ows inside a circular tube. The rheology under consideration is the type in which the shear stress is ...
  • Finite element solutions of the nonlinear RAPM Black-Scholes model 
    Zhexembay, Laila; Pak, Andrey (Nazarbayev University School of Science and Technology, 2016-05-09)
    The main purpose of our Capstone project is to study the Risk-Adjusted Pricing Methodology (RAMP) Black-Scholes model and to find the finite element solutions of the nonlinear Black-Scholes equation. The RAPM is one of ...
  • Frobenius Singularities of Algebraic Sets of Matrices 
    Yerlanov, Madi (Nazarbayev University School of Science and Technology, 2019-08-07)
    When one studies certain rings, it is natural to classify them according to certain properties. This project focuses on the study of properties of commutative rings associated with algebraic sets. In particular, we consider ...
  • Initial Explorations on Regularizing the SCRN Model 
    Kabdolov, Olzhas (Nazarbayev University School of Science and Technology, 2018-05)
    Recurrent neural networks are very powerful sequence models which are used for language modeling as well. Under correct regularization such as naive dropout these models are able to achieve substantial improvement in their ...
  • Modeling of corneal deformation under air-puff by nonlinear differential equations 
    Jangabylova, Aliya; Zhalgas, Aidana (Nazarbayev University School of Science and Technology, 2016-05)
    Intraocular Pressure (IOP) is a main factor for the diagnosis of glaucoma. In this report, the kinematic viscoelastic corneal models, specifcally the Maxwell and the Kelvin-Voight models, of human eye ball will be proposed ...
  • Multiple Point Compression on Elliptic Curves 
    Otemissov, Adilet (Nazarbayev University School of Science and Technology, 2015)
    The paper aims at developing new point compression algorithms which are useful in mobile communication systems where Elliptic Curve Cryptography is employed to achieve secure data storage and transmission. Compression ...
  • Nonlinear Regression Analysis of the generalized Logistic Model as an Actuarial life contingency model 
    Kadenova, Aida (Nazarbayev University School of Science and Technology, 2019-08-08)
    The aim of this project is to analyze three different population models such as Gompertz, Logistic and Generalized Logistic based USA population data. Finding the appropriate model is essential in actuarial application. ...
  • Nonlinear Schrodinger Equation 
    Kazbek, Moldir (Nazarbayev University School of Science and Technology, 2019-08-08)
    Rogue waves are fascinating destructive phenomena in nature that have not been fully explained so far [1-3]. Oceanographers commonly agree that linear theories cannot provide explanations for their existence[6,7]. Only ...
  • On a stochastic interacting particle system with pushing dynamics 
    Abdukadyrov, Nurlan (Nazarbayev University School of Science and Technology, 2016)
    In this paper we study a stochastic two-particle system on Z where particles interact each other by pushing dynamics. We derive the explicit formulas of the transition probability and of the probability distributions of ...
  • On logistic-normal distribution 
    Almagambetova, Ayanna; Zakiyeva, Nazgul (Nazarbayev University School of Science and Technology, 2016-04)
    Existing distributions do not always provide an adequate fit to the complex real world data. Hence, the interest in developing more flexible statistical distributions remains strong in statistics profession. In this project, ...
  • On the well-posedness of the Boltzmann's moment system of equations in fourth approximation 
    Issagali, Aizhan (Nazarbayev University School of Science and Technology, 2016-05)
    We study the one-dimensional non-linear non-stationary Boltzmann's moment system of equations in fourth approxi- mation with the tools developed by Sakabekov in [4],[5] and [6]. For the third approximation system Sakabekov ...
  • Optimization of convex geometries: component quadratic and general 
    Myrzakul, Zhanbota (Nazarbayev University School of Science and Technology, 2016)
    In this Capstone Project, we worked with a class of closure systems called convex geometries, which are closure systems with a closure operator that satisfies the anti-exchange property. We first looked at the result of ...
  • Pairwise Overlap and Misclassification in Cluster Analysis 
    Akynkozhayev, Birzhan (Nazarbayev University School of Science and Technology, 2015)
    Separation of data into distinct groups is one of the most important tools of learning and means of obtaining valuable information from data. Cluster analysis studies the ways of distributing objects into groups with similar ...
  • Power Series Solutions of a NODE Systemin the Complex Domain 
    Madiyeva, Aigerim (Nazarbayev University School of Science and Technology, 2018-05-10)
    In this Capstone Project, we analyze a second order nonlinear ordinary differential equation (NODE), y^" (x)=f(y^',y) that is impossible to solve analytically. First, using the Taylor Power Series method, we obtain a series ...
  • Representation of Convex Geometries by Convex Structures on a Plane 
    Bolat, Madina (Nazarbayev University School of Science and Technology, 2016-05)
    Convex geometries are closure systems satisfying anti-exchange axiom with combinatorial properties. Every convex geometry is represented by a convex geometry of points in n-dimensional space with a special closure ...
  • Solution a Problem of Nonlinear Elasticity Using Power Series in Complex Time 
    Shakir, Akyl (Nazarbayev University School of Science and Technology, 2018-05)
    We apply singularity analysis in complex time to investigate the solutions of a dynamical system of one degree of freedom related to the oscillations of a Micro-Electro-Mechanical System (MEMS) of nonlinear elasticity. ...
  • Stability Analysis of SEIS model with spatial variations 
    Baki, Zhuldyzay (Nazarbayev University School of Science and Technology, 2016-05)
    In this report we present an SEIS model for infectious diseases with latent period and no immune response for spatially heterogeneous environment. Spatial heterogeneity is designed by several metapopulations. It was shown ...
  • Stable holomorphic polynomials on the half-plane and generalizations 
    Kairzhan, Adilbek (Nazarbayev University School of Science and Technology, 2015-04)
    The study of locations of zeroes of functions became popular among mathematicians many years ago. This investigation contributes a lot to wide range of theories and topics in Mathematics and Physics.
  • Statistical Morphological Disambiguation for Kazakh Language 
    Azamat, Daiana (Nazarbayev University School of Science and Technology, 2016)
    This paper presents the results of developing a statistical model for morphological disambiguation of Kazakh text. Starting with basic assumptions we tried to cope with the complex morphology of Kazakh language by breaking ...
  • Well-Posedness of the Nonlinear Schrödinger Equation 
    Orumbayeva, Sara (Nazarbayev University School of Science and Technology, 2019-08-07)
    The Nonlinear Schrödinger equation (NLSE) is a prototypical example of nonlinear partial differential equation. It is commonly used to describe propagation of light in nonlinear optical fibers and is of great importance ...

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