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Browsing Capstone Projects by Title

Browsing Capstone Projects by Title

Now showing items 1-13 of 13

Analysis of Dead Core Phenomena in Reaction-Diffusion Problems

Sabit, Fariza (Nazarbayev University School of Sciences and Humanities, 2020-05-10)

For some semilinear parabolic problems of reaction-diffusion, a dead core - a region of zero reactant concentration - may be formed in finite time. We study the large time behavior of the solution and give an estimate for ...
ANALYSIS OF ELLIOTT WAVE THEORY ON TIME-SERIES DATA FROM FOREX

Zhalgasbek, Ayaz (School of Sciences and Humanities, 2023)

This capstone project analyzes the application of the Elliott wave theory on time-series data from the Forex market. The project uses patternbased probabilistic models to test the validity of the Elliott wave theory and ...
ANALYSIS OF THE MATHEMATICAL MODEL DESCRIBING THYROID-PITUITARY HORMONAL TRANSPORTATION BY A SYSTEM OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

Baidildayeva, Aisha (Nazarbayev University School of Sciences and Humanities, 2022-05)

The main goal of this capstone project is to conduct the analysis of the mathematical model which describes the transportation of the thyroid pituitary axis of the hormones within the endocrine system. The model is constructed ...
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 ...
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 ...
JOINT DISTRIBUTION OF PARTICLES’ POSITIONS IN TASEP

Kassymkhanov, Nariman (Nazarbayev University School of Sciences and Humanities, 2022)

In this paper we consider Totally Asymmetric Simple Exclusion Process. We give some joint distribution of particles’ positions in TASEP by using the transition probabilities of N-particle systems.
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 ...
Nonlinear Schrödinger-Airy Equation in Sobolev Spaces of Low Regularity

Sakayeva, Zhanna (Nazarbayev University School of Sciences and Humanities, 2020)

The Nonlinear Schrödinger-Airy equation is one of the general examples of dispersive nonlinear partial differential equations. It is commonly used to characterize the nonlinear propagation of light pulses in optical ...
PENROSE INSTABILITY ANALYSIS IN THE HIROTA EQUATION

Assaubay, Al-Tarazi; Castro Castilla, Alejandro Javier (Nazarbayev University School of Sciences and Humanities, 2020)

In this research, we study the Penrose instability analysis in the Hirota equation, which is a higher-order version of Nonlinear Schrödinger equation. We apply the Wigner function to Hirota equation in order to obtain ...
(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 ...
Protein Family Classification using embedding methods

Saduakhas, Damilya (Nazarbayev University School of Sciences and Humanities, 2020-04-30)

This capstone project examines the performance of existing embedding based alignment-free methods for protein family classification tasks. The distributed continuous representation of biological sequences such as DNA and ...
Semantics- and Syntax-related Subvectors in the Skip-gram Embeddings

Tezekbayev, Maxat (Nazarbayev University School of Sciences and HumanitiesNazarbayev University School of Sciences and Humanities, 2020)

This project presents that using a modified version of Skip-gram with negative sampling with weight tying proposed by Assylbekov and Takhanov (2019) word embedding of each word can be decomposed into two subvectors: x ...