Department of Mathematics, Article

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Recent Submissions

Time filtered second order backward Euler method for EMAC formulation of Navier-Stokes equations
Demir, Medine; Çıbık, Aytekin; Kaya Merdan, Songül (2022-12-15)
© 2022 Elsevier Inc.This paper considers the backward Euler based linear time filtering method for the developed energy-momentum-angular momentum conserving (EMAC) formulation of the time dependent-incompressible Navier-St...
Additive cyclic complementary dual codes over F4
Shi, Minjia; Liu, Na; Özbudak, Ferruh; Solé, Patrick (2022-10-01)
© 2022 Elsevier Inc.An additive cyclic code of length n over F4 can be defined equivalently as an F2[x]/〈xn+1〉-submodule of F4[x]/〈xn+1〉. In this paper we study additive cyclic and complementary dual codes of odd length ov...
Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization
Hacat, Gülnur; Yılmaz, Fikriye Nuray; Çıbık, Aytekin Bayram; Kaya Merdan, Songül (2022-10-01)
© 2022 Elsevier Inc.This paper presents a family of implicit-explicit (IMEX) time stepping scheme for the optimal control problem of the unsteady Navier-Stokes equations (NSE). The main feature of this kind of optimal cont...
Delta synchronization of Poincare chaos in gas discharge-semiconductor systems
Akhmet, Marat; Baskan, Kagan; Yeşil, Cihan (2022-08-01)
We introduce a new type of chaos synchronization, specifically the delta synchronization of Poincare chaos. The method is demonstrated for the irregular dynamics in coupled gas discharge-semiconductor systems (GDSSs). It i...
Automorphisms of κ -existentially closed groups
Kaya, Burak; Kuzucuoğlu, Mahmut (2022-08-01)
We investigate the automorphisms of some κ-existentially closed groups. In particular, we prove that Aut(G) is the union of subgroups of level preserving automorphisms and | Aut(G) | = 2 κ whenever κ is inaccessible and G ...
Classification of permutation polynomials of the form x3g(xq-1) of Fq2 where g(x) = x3+ bx+ c and b,c∈Fq∗
Özbudak, Ferruh; Gülmez Temür, Burcu (2022-07-01)
© 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.We classify all permutation polynomials of the form x3g(xq-1) of Fq2 where g(x) = x3+ bx+ c and b,c∈Fq∗. Moreo...
Dynamics of Shunting Inhibitory Cellular Neural Networks with Variable Two-Component Passive Decay Rates and Poisson Stable Inputs
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2022-06-01)
Shunting inhibitory cellular neural networks with continuous time-varying rates and inputs are the focus of this research. A new model is considered with compartmental passive decay rates which consist of periodic and Pois...
o tau-Continuous, Lebesgue, KB, and Levi Operators Between Vector Lattices and Topological Vector Spaces
Alpay, Safak; Emelyanov, Eduard; Gorokhova, Svetlana (2022-06-01)
We investigate o tau-continuous/bounded/compact and Lebesgue operators from vector lattices to topological vector spaces; the Kantorovich-Banach operators between locally solid lattices and topological vector spaces; and t...
Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation
Yıldız, Süleyman; Karasözen, Bülent; Uzunca, Murat (2022-05-15)
In this paper, we investigate projection-based intrusive and data-driven model order reduction in numerical simulation of rotating thermal shallow water equation (RTSWE) in parametric and non-parametric form. Discretizatio...
Two or Three Weight Linear Codes from Non-Weakly Regular Bent Functions
Özbudak, Ferruh; Pelen, Rumi Melih (2022-05-01)
© 1963-2012 IEEE.Linear codes with few weights have applications in consumer electronics, communications, data storage systems, secret sharing, authentication codes, and association schemes. As a special class of linear co...
Energy preserving reduced-order modeling of the rotating thermal shallow water equation
Karasözen, Bülent; Ylldlz, S.; Uzunca, M. (2022-05-01)
© 2022 Author(s).In this paper, reduced-order models (ROMs) are developed for the rotating thermal shallow water equation (RTSWE) in the non-canonical Hamiltonian form with state-dependent Poisson matrix. The high fidelity...
Complete b-symbol weight distribution of some irreducible cyclic codes
Zhu, Hongwei; Shi, Minjia; Özbudak, Ferruh (2022-05-01)
Recently, b-symbol codes are proposed to protect against b-symbol errors in b-symbol read channels. It is an interesting subject of study to consider the complete b-symbol weight distribution of cyclic codes since b-symbol...
Imprimitive symmetric association schemes of classes 5 and 6 arising from ternary non-weakly regular bent functions
Özbudak, Ferruh; Pelen, Rumi Melih (2022-04-01)
Let F be a ternary non-weakly regular bent function in GMMF class whose dual F* is bent. We prove that if F satisfies certain conditions, then collecting the pre-image sets of the dual function F* with respect to the subse...
Good action of a nilpotent group with regular orbits
Ercan, Gülin; GÜLOĞLU, İSMAİL ŞUAYİP (2022-04-01)
Suppose that A is a finite nilpotent group of odd order having a good action, in the sense of [1], on the group G of odd order. Under some additional assumptions we prove that the Fitting height of G is bounded above by th...
Small genus-4 Lefschetz fibrations on simply-connected 4-manifolds
Altunöz, Tülin (2022-03-07)
We consider simply connected 4-manifolds admitting Lefschetz fibrations over the 2-sphere. We explicitly construct nonhyperelliptic and hyperelliptic Lefschetz fibrations of genus 4 on simply-connected 4-manifolds which ar...
Upper level sets of Lelong numbers on ℙ2 and cubic curves
Yazici, Özcan; Kişisel, Ali Ulaş Özgür (2022-03-01)
Let T be a positive closed current of bidimension (1, 1) with unit mass on P2 and Vα(T) be the upper level sets of Lelong numbers ν(T,x) of T. For any α≥13, we show that |Vα(T)∖C|≤2 for some cubic curve C.
Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes
Koese, Seyda; Özbudak, Ferruh (2022-03-01)
We determine the unique factorization of some polynomials over a finite local commutative ring with identity explicitly. This solves and generalizes the main conjecture of Qian, Shi and Sole in [13]. We also give some appl...
Local Boundedness of Catlin q-Type
Yazıcı, Özcan (2022-02-01)
In D'Angelo (Ann Math 115:615-637, 1982) introduced the notion of finite type for points p of a real hypersurface M of C-n by defining the order of contact Delta(q)(M, p) of complex-analytic q-dimensional varieties with M ...
Unpredictability in Markov chains
Akhmet, Marat (2022-01-01)
We have formalized realizations of Markov chains as conveniently constructed sequences, and explained, why the random dynamics admits the unpredictability, the concept introduced in our papers previously. The method of the...
Chebyshev spectral collocation method for MHD duct flow under slip condition
Bozkaya, Canan; Türk, Önder (2022-01-01)
The magnetohydrodynamic problem of a fully developed flow of an incompressible and electrically conducting fluid is solved numerically by a Chebyshev spectral collocation method in a square duct with walls of variable elec...
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