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Browsing Articles by Title
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Lefton, Lew; Wei, Dongming
(Journal of Numerical Mathematics, 2003)
Finite element approximations of the stationary power-law Stokes problem using penalty
formulation are considered. A priori error estimates under appropriate smoothness assumptions on the
solutions are established without ...
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Wei, D.; Kadyrov, S.; Kazbek, Z.
(Applied and Computational Mechanics, 2017)
Phase plane analysis of the nonlinear spring-mass equation arising in modeling vibrations of a lumped mass attached to a graphene sheet with a fixed end is presented. The nonlinear lumped-mass model takes into account the ...
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Kadyrov, Shirali
(2010)
On the space of unimodular lattices, we construct a sequence of
invariant probability measures under a singular diagonal element with high
entropy and show that the limit measure is 0
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Mustafa, M.; Sorbi, Andrea
(2012)
We give a su cient condition for an in nite computable family of 1
a sets, to have computable positive but undecidable numberings, where a
is a notation for a nonzero computable ordinal. This extends a theorem
proved ...
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Adaricheva, Kira; Wild, Marcel
(2007)
The Edelman-Jamison problem is to characterize those abstract
convex geometries that are representable by a set of points in the plane. We
show that some natural modification of the Edelman-Jamison problem is equivalent
to ...
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Adaricheva, Kira
(2011)
A closure system with the anti-exchange axiom is called a convex
geometry. One geometry is called a sub-geometry of the other if its closed sets
form a sublattice in the lattice of closed sets of the other. We prove that ...
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Badaev, Serikzhan A.; Mustafa, M.
(2012)
Let a be a Kleene's ordinal notation of a nonzero computable ordinal. We give a su cient condition on a, so that for every 1 a {computable family of two embedded sets, i.e. two sets A;B, with A properly contined in B, ...
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Aurentz, Jared L.; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S.
(arXiv, 2016-11-08)
Two generalizations of the companion QR algorithm by J.L. Aurentz, T. Mach, R. Vandebril, and D.S. Watkins, SIAM Journal on Matrix Analysis and Applications, 36(3): 942--973, 2015, to compute the roots of a polynomial are ...
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Kadyrov, Shirali; Kleinbock, D.; Lindenstrauss, E.; Margulis, G.A.
(2014)
Singular systems of linear forms were introduced by Khintchine
in the 1920s, and it was shown by Dani in the 1980s that they
are in one-to-one correspondence with certain divergent orbits of oneparameter
diagonal groups ...
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Wei, Dongming; Liu, Yu
(Applied Mathematical Sciences, 2012)
In this paper, it is shown that D. Shelupsky's generalized sine func-
tion, and various general sine functions developed by P. Drabek, R.
Manasevich and M. Otani, P. Lindqvist, including the generalized Ja-
cobi elliptic ...
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Shena, Joniald; Kominis, Yannis; Bountis, Anastasios; Kovanis, Vassilios
(PHYSICAL REVIEW E, 2020)
Arrays of coupled semiconductor lasers are systems possessing radically complex dynamics that makes
them useful for numerous applications in beam forming and beam shaping. In this work, we investigate the
spatial ...
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Kominis, Yannis; Kovanis, Vassilios; Bountis, Tassos
(arXiv, 2018-08)
The fundamental active photonic dimer consisting of two coupled quantum well lasers is inves-
tigated in the context of the rate equation model. Spectral transition properties and exceptional
points are shown to occur ...
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Kominis, Yannis; Kovanis, Vassilios; Bountis, Tassos
(ArXiv, 2017-10-04)
The fundamental active photonic dimer consisting of two coupled quantum well lasers is inves-tigated in the context of the rate equation model. Spectral transition properties and exceptional points are shown to occur under ...
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Kominis, Yannis; Bountis, Tassos; Flach, Sergej
(ArXiv, 2017-06-23)
We analyze the stability of a non-Hermitian coupler with respect to modulational inhomogeneous perturbations in the presence of unbalanced gain and loss. At the parity-time (PT) symmetry point the coupler is unstable. ...
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Kominis, Yannis; Bountis, Tassos; Flach, Sergej
(Physical Review A, 2017-06-21)
We analyze the stability of a non-Hermitian coupler with respect to modulational inhomogeneous perturbations
in the presence of unbalanced gain and loss. At the parity-time (PT ) symmetry point the coupler is unstable.
Suitable ...
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Adaricheva, Kira
(2011)
An assosiahedron Kn, known also as Stasheff polytope, is a multifaceted
combinatorial object, which, in particular, can be realized as a convex
hull of certain points in Rn, forming (n − 1)-dimensional polytope1.
A ...
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Kominis, Yannis; Bountis, Tassos; Flach, Sergej
(Scientific Reports, 2016-09-19)
We consider the asymmetric active coupler (AAC) consisting of two coupled dissimilar waveguides with gain and loss. We show that under generic conditions, not restricted by parity-time symmetry, there exist finite-power, ...
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Alzaatreh, Ayman; Mansoory, M.; Tahirz, M. H.; Zubair, M.; Ghazalik, Shakir Ali
(Hacettepe Journal of Mathematics and Statistics, 2016)
A new distribution, namely, the Gamma-Half-Cauchy distribution is proposed. Various properties of the Gamma-Half-Cauchy distribution are studied in detail such as limiting behavior, moments, mean deviations and Shannon ...
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Tahir, M. H.; Cordeiro, Gauss M.; Alzaatreh, Ayman; Mansoor, M.; Zubair, M.
(Communications in Statistics - Theory and Methods, 2016-12-16)
The logistic distribution has a prominent role in the theory and practice of statistics. We introduce a new family of continuous distributions generated from a logistic random variable called the logistic-X family. Its ...
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Farkas, Bálint; Wegner, Sven Ake
(American Mathematical Monthly, 2016-10-01)
It is not hard to prove that a uniformly continuous real function, whose integral up to infinity exists, vanishes at infinity, and it is probably little known that this statement runs under the name "Barbalat's lemma." In ...