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Browsing Theses and Dissertations by Title

Browsing Theses and Dissertations by Title

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  • THE CAUCHY PROBLEM FOR A MOLECULAR BEAM EPITAXY MODEL WITH SLOPE SELECTION 
    Biyar, Magzhan (Nazarbayev University School of Sciences and Humanities, 2021-05)
    This thesis is devoted to the study of a nonlinear diffusion equation. We have to prove that the Cauchy problems for a molecular beam epitaxy (MBE) equation with slope selection is locally well-posed for initial data in 𝑊...
  • The Classification Using the Hierarchy and Exclusion Graphs 
    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, ...
  • EXISTENCE OF A TRAVELING WAVE SOLUTION TO GLIOBLASTOMA MULTIFORME MODEL WITH MODIFIED GOMPERTZ GROWTH FUNCTION 
    Zhuman, Gulnissa (Nazarbayev University School of Sciences and Humanities, 2022-05)
    This thesis explores a model for aggressive brain cancer - glioblastoma multiforme, with modified gompertzian growth function. Density-dependent diffusion term, taxis, and growth functions are included in the model that ...
  • 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 ...
  • EXPERIMENTAL STUDY OF MANIFOLD LEARNING AND TANGENT PROPAGATION 
    Ashimov, Temirlan (Nazarbayev University School of Sciences and Humanities, 2021-05)
    In the Data Science routine, we often face the curse of dimensionality, dealing with high-dimensional data which, in turn, can be very difficult. The problems of this nature can be approached by methods of Dimensionality ...
  • 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 ...
  • Modeling and Finite Element Simulations of Ceramic Paste Extrusion in 3D Printing 
    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 ...
  • Modeling and Numerical Analysis for Catalytic Membrane Reactors 
    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 ...
  • MODELING AND NUMERICAL ANALYSIS OF DEAD-CORE PHENOMENA IN CHEMICAL REACTOR ENGINEERING 
    Assaubay, Al-Tarazi (Nazarbayev University School of Sciences and Humanities, 2021-05)
    Diffusion-reaction processes in chemical reactors are often modelled by differential equations of diffusion-reaction type that describe the change in time and space of concentrations of chemical species. In this work, ...
  • MODELING AND NUMERICAL ANALYSIS OF GRAPHENE MICROBEAM RESONATOR 
    Yessetov, Yerkebulan (School of Sciences and Humanities, 2023-07)
    Microelectromechanical systems (MEMS) have emerged as a revolutionary technology, enabling the development of miniaturized devices with diverse functionalities and superior performance. Among the essential components of ...
  • MULTIVARIATE MITTAG-LEFFLER FUNCTION 
    Abilassan, Akmarzhan (School of Sciences and Humanities, 2023)
    This thesis presents an exploration of a variant of the multivariate Mittag-Leffler function, with a focus on its properties and applications in the context of solving differential equations. The work includes several ...
  • PHYSICS INFORMED NEURAL NETWORKS FOR SOLVING DIRAC EQUATION IN (1+1) DIMENSION 
    Bazarkhanova, Aigerim (Nazarbayev University School of Sciences and Humanities, 2021-05-13)
    The Dirac equation plays a fundamental role in quantum physics and its exact solutions are of utmost importance. In this study we solved Linear and Nonlin ear Dirac equation in (1+1) dimension and obtained analytical ...
  • 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 ...
  • A PRIORI ESTIMATE FOR A HIGHER ORDER NONLINEAR SCHRÖDINGER EQUATION IN NEGATIVE SOBOLEV SPACES 
    Tobakhanov, Nurdaulet (Nazarbayev University School of Sciences and Humanities, 2022-05)
    The higer order Nonlinear Schrödinger equation is one of the general examples of dispersive nonlinear partial differential equations. We study a priori bounds for higher-order nonlinear Schrödinger in the Sobolev space. ...
  • THE REDISCOVERY HYPOTHESIS: LANGUAGE MODELS NEED TO MEET LINGUISTICS 
    Maxat, Tezekbayev (Nazarbayev University School of Sciences and Humanities, 2022-05)
    There is an ongoing debate in the NLP community whether modern language models contain linguistic knowledge, recovered through so-called probes. This work examines whether linguistic knowledge is a necessary condition ...
  • REMAINDERS OF THE HIGHER-ORDER POINCAR´E INEQUALITIES FOR BAOUENDI-GRUSHIN VECTOR FIELDS 
    Kabduali, Bek (Nazarbayev University School of Sciences and Humanities, 2022-05)
    The main result of this thesis work is a proof of the higher-order Poincar´e inequalities for Baouendi-Grushin vector fields on non-smooth domains. The finding is successfully applied to the study of the higher-order ...
  • 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 ...
  • VARIETY OF BICOMMUTATIVE ALGEBRAS DEFINED BY IDENTITY Γ[(AB)C − 2(BA)C + (CA)B] + Δ[C(BA) − 2C(AB) + B(AC)] = 0 
    Bakirova, Altynay (Nazarbayev University School of Sciences and Humanities, 2022-05)
    One of the important problem of the theory of polynomial identi tites in algebra is describe all varieties of algebras with given system of identities. Our aim is to classify all subvarieties of the variety of bicom ...

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