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Browsing Mathematics by Title

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  • Energy transmission in Hamiltonian systems of globally interacting particles with Klein-Gordon on-site potentials 
    Mac´ıas-D´ıaz, Jorge E.; Bountis, Anastasios; Christodoulidi, Helen (Mathematics in Engineering, 2019-04-03)
    We consider a family of 1-dimensional Hamiltonian systems consisting of a large number of particles with on-site potentials and global (long range) interactions. The particles are initially at rest at the equilibrium ...
  • Euler semigroup, Hardy–Sobolev and Gagliardo–Nirenberg type inequalities on homogeneous groups 
    Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa (Springer, 2020-06-10)
    In this paper we describe the Euler semigroup {e−tE∗E}t>0 on homogeneous Lie groups, which allows us to obtain various types of the Hardy–Sobolev and Gagliardo–Nirenberg type inequalities for the Euler operator E. Moreover, ...
  • Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process 
    LEE, Eunghyun (arxiv, 2020)
    We find the formulas of the transition probabilities of the N-particle multi species asymmetric simple exclusion processes (ASEP), and show that the transition prob abilities are written as a determinant when the order of ...
  • 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 ...
  • Existence of self-similar solutions of the two-dimensional Navier–Stokes equation for non-Newtonian fluids 
    Wei, Dongming; Al-Ashhab, Samer (Elsevier, 2019-04-20)
    The reduced problem of the Navier–Stokes and the continuity equations, in two-dimensional Cartesian coordinates with Eulerian description, for incompressible non-Newtonian fluids, is considered. The Ladyzhenskaya model, ...
  • EXISTENCE OF TRAVELING WAVE SOLUTIONS TO DATA-DRIVEN GLIOBLASTOMA MULTIFORME GROWTH MODELS WITH DENSITY-DEPENDENT DIFFUSION 
    Kashkynbayev, Ardak; Amanbek, Yerlan; Shupeyeva, Bibinur; Kuang, Yang (AIMS Press, 2020-10-23)
    Mathematical modeling for cancerous disease has attracted increasing attention from the researchers around the world. Being an effective tool, it helps to describe the processes that happen to the tumour as the diverse ...
  • 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 ...
  • EXPLICIT DETERMINANTAL FORMULA FOR A CLASS OF BANDED MATRICES 
    Amanbek, Yerlan; Du, Zhibin; Erlangga, Yogi; da Fonseca, Carlos M.; Kurmanbek, Bakytzhan; Pereira, António (De Gruyter Open, 2020)
    In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.
  • EXPLICIT INVERSE OF NEAR TOEPLITZ PENTADIAGONAL MATRICES RELATED TO HIGHER ORDER DIFFERENCE OPERATORS 
    Kurmanbek, Bakytzhan; Erlangga, Yogi; Amanbek, Yerlan (Elsevier B.V., 2021-06-08)
    This paper analyzes the inverse of near Toeplitz pentadiagonal matrices, arising from a finite-difference approximation to the fourth-order nonlinear beam equation. Explicit non-recursive inverse matrix formulas and bounds ...
  • FACTORING WITH HINTS 
    Sica, Francesco (Journal of Mathematical Cryptology, 2021)
    We introduce a new approach to (deterministic) integer factorisation, which could be described in the cryptographically fashionable term of “factoring with hints”: we prove that, for any ϵ > 0, given the knowledge of the ...
  • FACTORING WITH HINTS 
    Sica, Francesco (De Gruyter, 2020-11-17)
    We introduce a new approach to (deterministic) integer factorisation, which could be described in the cryptographically fashionable term of “factoring with hints”: we prove that, for any ϵ > 0, given the knowledge of the ...
  • 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 ...
  • 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 ...
  • FOURIER NEURAL NETWORKS: A COMPARATIVE STUDY 
    Zhumekenov, Abylay; Uteuliyeva, Malika; Takhanov, Rustem; Assylbekov, Zhenisbek; Castro, Alejandro J. (arxiv, 2019)
    We review neural network architectures which were motivated by Fourier series and integrals and which are referred to as Fourier neural networks. These networks are empirically evaluated in synthetic and real-world tasks. ...
  • GEOMETRIC HARDY AND HARDY-SOBOLEV INEQUALITIES ON HEISENBERG GROUPS 
    Ruzhansky, Michael; Sabitbek, Bolys; Suragan, Durvudkhan (SpringerOpen, 2020-07-04)
    In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group ...
  • GLOBAL DYNAMICS OF TICK-BORNE DISEASES 
    Kashkynbayev, Ardak; Koptleuova, Daiana (AIMS Press, 2020-06-05)
    A tick-borne disease model is considered with nonlinear incidence rate and piecewise constant delay of generalized type. It is known that the tick-borne diseases have their peak during certain periods due to the life cycle ...
  • AN ITERATIVE APPROACH FOR THE PARAMETER ESTIMATION OF SHEAR-RATE AND TEMPERATURE-DEPENDENT RHEOLOGICAL MODELS FOR POLYMERIC LIQUIDS 
    Amangeldi, Medeu; Wang, Yanwei; Perveen, Asma; Zhang, Dichuan; Wei, Dongming (MDPI, 2021-11-30)
    Numerical flow simulations play an important role in polymer processing. One of the essential prerequisites for accurate and precise flow simulations is to obtain accurate materials functions. In the framework of the ...
  • 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.