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Browsing Capstone Projects by Title

Browsing Capstone Projects by Title

Now showing items 1-20 of 28

Actuarial Applications of a two-parameter generalized Logistic model

Alekberova, Nargiz (Nazarbayev University School of Science and Technology, 2018-05-10)

This project presents a generalization of the classical logistic and the Gompertz model by using two parameter power law exponent. The suggested generalized with two parameters models was shown by numerical example to be ...
Analysis of Dynamic Pull-in for a Graphene-based MEMS Model

Omarov, Daniyar (Nazarbayev University School of Science and Technology, 2018)

A novel procedure based on the Sturm’s theorem for real-valued polynomials is developed to predict and identify periodic solutions and non-periodic solutions in the pull-in analysis of a graphene-based MEMS lumped parameter ...
Analytic Solutions for a Nonlinear Transport Equation

Biyar, Magzhan (Nazarbayev University School of Science and Technology, 2019-08-07)

We prove that the Cauchy problem for a transport equation with algebraic nonlinearity of degree p with initial data in Gevrey spaces is locally well-posed. In particular, we show that the analyticity of solutions persists ...
A Short Note On Solving 1-D Porous Medium Equation by Finite Element Methods

Matayev, Chingis (Nazarbayev University School of Science and Technology, 2016-05-20)

Porous Medium Equation (PME) is one of the simplest types of of nonlinear evolution equation of parabolic type. It emerges in the description of di erent natural phenomena, and its theory and properties depart strongly ...
Boundary Element Method for Stokes Flow in Incompressible Newtonian Fluids

Tazhimbetov, Nurbek Akhmetuly (Nazarbayev University School of Science and Technology, 2015-04)

In this thesis, I present different discretization techniques for boundary integral method for Stokes flow in case of an incompressible Newtonian fluid. Boundary integral method (BIM) is one of many techniques that are ...
Copula functions in Credit Metrics’ VaR estimation

Magzanov, Shynggys (Nazarbayev University School of Science and Technology, 2019-08-08)

Credit risk modelling of a portfolio of exposures is essential part of activity of every financial institution. However this procedure is complicated since the joint behavior of chosen exposures must be known. In this paper ...
Copulas and Correlation in Statistical Risk Theory

Rat, Sara (Nazarbayev University School of Science and Technology, 2018)

The Financial Risk Management (FRM) aims to identify, measure and manage risks in different sectors. One of the core things during such operations is measuring different dependencies. Linear correlation is known as one of ...
Estimation and application of best ARIMA model for forecasting the uranium price.

Amangeldi, Medeu (Nazarbayev University School of Science and Technology, 2018-05-13)

This paper presents the application of an iterative approach for prediction of uranium price by model identification, parameter estimation and diagnostic checking which are designed by Box and Jenkins. In particular, the ...
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 ...