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Browsing Mathematics by Title
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Kadyrov, Shirali; Lawrence, Mark
(2011)
Let x = (x1; : : : ; xd) 2 [1; 1]d be linearly independent over Z, set K = f(ez; ex1z; ex2z : : : ; exdz) : jzj 1g:We prove sharp estimates for the growth of a polynomial of degree n, in terms of En(x) := supfkPk d+1 ...
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Bonet, José; Wegner, Sven Ake
(Functiones et Approximatio, Commentarii Mathematici, 2011)
We establish a criterion to decide when a countable projective limit of countable inductive limits of normed spaces is bornological. We compare the conditions occurring within our criterion with well-known abstract conditions ...
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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 ...
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Wei, Dongming; Ko, Match W. L.; Leung, Christopher K.S
(2015)
The aim of this study is to design and develop a noninvasive
corneal indentation method to measure the corneal
hysteresis behavior under dynamic corneal indentation. Corneal
indentation method is adapted for the design ...
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Mach, Thomas; Pranić, Miroslav S.; Vandebril, Raf
(Electronic Transactions on Numerical Analysis, 2014)
It has been shown that approximate extended Krylov subspaces can be computed, under certain assumptions, without any explicit inversion or system solves. Instead, the vectors spanning the extended Krylov space are retrieved ...
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Benner, Peter; Börm, Steffen; Mach, Thomas; Reimer, Knut
(Computing and Visualization in Science, 2015-03-04)
The computation of eigenvalues of large-scale matrices arising from finite element discretizations has gained significant interest in the last decade (Knyazev et al. in Numerical solution of PDE eigenvalue problems, vol ...
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Betancor, Jorge J.; Castro, Alejandro J.; Fariña, Juan C.; Rodríguez-Mesa, L.
(Journal of Mathematical Analysis and Applications, 2017-03-01)
Abstract In this paper we consider conical square functions in the Bessel, Laguerre and Schrödinger settings where the functions take values in UMD Banach spaces. Following a recent paper of Hytönen, van Neerven and Portal ...
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Kominis, Yannis; Kovanis, Vassilios; Bountis, Tassos
(Physical Review, 2017-10-16)
Coupled semiconductor lasers are systems possessing complex dynamics that are interesting for numerous applications in photonics. In this work, we investigate the existence and the stability of asymmetric phase-locked ...
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Kominis, Yannis; Kovanis, Vassilios; Bountis, Tassos
(arXiv, 2018-03-07)
Coupled semiconductor lasers are systems possessing complex dynamics that are interesting for
numerous applications in photonics. In this work, we investigate the existence and the stability of
asymmetric phase-locked ...
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Zhumekenov, Abylay
(Nazarbayev University School of Science and Technology, 2019-04-26)
The paper investigates a convergence rate for 2-layer feedforward Fourier Neural Network
(FNN). Such networks are motivated by the approximation properties of wellknown
Fourier series. Several implementations of FNNs ...
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Jagels, Carl; Mach, Thomas; Reichel, Lothar; Vandebril, Raf
(Linear Algebra and Its Applications, 2016-12-01)
This article deduces geometric convergence rates for approximating matrix functions via inverse-free rational Krylov methods. In applications one frequently encounters matrix functions such as the matrix exponential or ...
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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 ...
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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 ...
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Wei, Dongming; Zhang, Zhenbu
(Electronic journal of differential equations, 2001)
In this work, we compare a parabolic equation with an elliptic
equation both of which are used in modeling temperature profile of a powerlaw
polymer
ow in a semi-infinite straight pipe with circular cross section.
We ...
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Adaricheva, Kira; Nation, J.B.
(2016)
Discovery of (strong) association rules, or implications, is an important
task in data management, and it nds application in arti cial intelligence,
data mining and the semantic web. We introduce a novel approach
for ...
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Zholmaganbetova, Aigerim
(Nazarbayev University School of Science and Technology, 2019-05-29)
Many problems in theoretical physics are expressed in the form of Hamiltonian systems. Among these the first to be extensively studied were low-dimensional, possessing as few as two (or three) degrees of freedom. In the ...
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Kadyrov, Shirali
(2014)
It is known that hyperbolic dynamical systems admit a unique invariant probability measure with maximal entropy. We prove an effective version of this statement and use it to estimate an upper bound for Hausdorff dimension ...
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Christodoulidi, H.; Bountis, Tassos; Drossos, L.
(arXiv, 2018-04)
We examine the role of long–range interactions on the dynamical and statistical properties of two
1D lattices with on–site potentials that are known to support discrete breathers: the Klein–Gordon
(KG) lattice which ...
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Adaricheva, Kira
(2014-05-13)
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Adaricheva, Kira; Wehrung, Freidrich
(2005)
For a class C of finite lattices, the question arises whether any
lattice in C can be embedded into some atomistic, biatomic lattice in C. We
provide answers to the question above for C being, respectively,
— The class ...