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Browsing Mathematics by Title
Now showing items 63-82 of 92
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(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 ...
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(arxiv, 2020)We perform a detailed study of the dynamics of a nonlinear, one-dimensional oscillator driven by a periodic force under hysteretic damping, whose linear version was originally proposed and analyzed by Bishop in [1]. We ...
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(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 ...
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(Birkhauser, 2021-07-07)There are three basic boundary value problems for the inhomogeneous polyanalytic equation in planar domains, the well-posed iterated Schwarz problem, and further two over-determined iterated problems of Dirichlet and Neumann ...
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(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 ...
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(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 ...
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(ELSEVIER SCIENCE BV, 2019-12)Time discretization along with space discretization is important in the numerical simulation of subsurface flow applications for long run. In this paper, we derive theoretical convergence error estimates in discrete-time ...
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(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. ...
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(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 ...
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(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 ...
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(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 ...
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(Birkhauser, 2021-06-05)We prove the global Lp-boundedness of Fourier integral operators that model the parametrices for hyperbolic partial differential equations, with amplitudes in classical Hörmander classes Sρ,δm(Rn) for parameters 0 ≤ ρ≤ 1 ...
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(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 ...
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(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 ...
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(Media Watch, 2020)The article examines the cultural and educational mission of modern media related to the spiritual and cultural education of youth in Kazakhstan. Over the past two decades, the socialization problems of Kazakh youth have ...
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(Applied Mathematical Modelling, 2023)This paper considers control systems with impulses that are saturated and asymmetrically saturated which are used to examine the synchronization of inertial neural networks (INNs) with time-varying delay and coupling delays. ...
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(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 ...
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SERSNET: SURFACE-ENHANCED RAMAN SPECTROSCOPY BASED BIOMOLECULE DETECTION USING DEEP NEURAL NETWORK (MDPI, 2021-11-30)Surface-Enhanced Raman Spectroscopy (SERS)-based biomolecule detection has been a challenge due to large variations in signal intensity, spectral profile, and nonlinearity. Recent advances in machine learning offer great ...
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SERSNET: SURFACE-ENHANCED RAMAN SPECTROSCOPY BASED BIOMOLECULE DETECTION USING DEEP NEURAL NETWORK (MDPI AG, 2021-11-30)Surface-Enhanced Raman Spectroscopy (SERS)-based biomolecule detection has been a challenge due to large variations in signal intensity, spectral profile, and nonlinearity. Recent advances in machine learning offer great ...
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(Advances in Difference Equations, 2020)It is known that all solutions of the difference equation Δx(n)+p(n)x(n−k)=0,n≥0, where {p(n)}∞n=0 is a nonnegative sequence of reals and k is a natural number, oscillate if lim infn→∞∑n−1i=n−kp(i)>(kk+1)k+1. In the ...
Now showing items 63-82 of 92
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