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Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction
AĞGÜL, MUSTAFA; Kaya Merdan, Songül (Elsevier BV, 2021-02-01)
© 2020 IMACSA defect-deferred correction method, increasing both temporal and spatial accuracy, for fluid-fluid interaction problem with nonlinear interface condition is considered by geometric averaging of the previous tw...
New generalized almost perfect nonlinear functions
Özbudak, Ferruh; Salagean, Ana (2021-02-01)
APN (almost perfect non-linear) functions over finite fields of even characteristic are widely studied due to their applications to the design of symmetric ciphers resistant to differential attacks. This notion was recentl...
Liftable homeomorphisms of cyclic and rank two finite abelian branched covers over the real projective plane
Atalan, Ferihe; Medetogullari, Elif; Ozan, Yıldıray (Elsevier BV, 2021-02-01)
© 2020 Elsevier B.V.In this note, we investigate the property for regular branched finite abelian covers of the real projective plane, where each homeomorphism of the base (preserving the branch locus) lifts to a homeomorp...
Open books decompositions of links of minimally elliptic singularities
Bhupal, Mohan Lal (2021-02-01)
We present an explicit Milnor open book decomposition supporting the canonical contact structure on the link of each minimally elliptic singularity whose fundamental cycle Z satisfies -3 <= Z center dot Z <=-1. For the Mil...
On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field
Cibik, Aytekin; Eroglu, Fatma G.; Kaya Merdan, Songül (Springer Science and Business Media LLC, 2021-01-01)
© 2021, Springer Science+Business Media, LLC, part of Springer Nature.This paper considers analytically and numerically the curvature-based stabilization method for double-diffusive natural convection flows in the presence...
Kapalı eğri üzerine dikdörtgen çizme problemi
Ozan, Yıldıray(2020-12-02)
Düzlemde rastgele basit kapalı bir eğri alalım. Köşeleri bu eğrinin üzerinde olan bir dikdörtgenin var mıdır? Konuşmanın ilk bölümünde bu klasik problemi ele alacağız ve böyle bir dikdörtgenin varlığının gerçel projektif d...
Yüzeylerin Sınıflandırması ve Gauss-Bonnet Teoremi
Ozan, Yıldıray(2020-11-21)
İlk önce yüzeyler ve daha genelde manifold kavramı hakkında konuşacağız. Daha sonra kes-yapıştır tekniğini de vererek yüzeylerin topolojik sınıflandırılması vereceğiz. Euler karakteristiği ve Descartes'ın polihedral yüze...
Liftable homeomorphisms of rank two finite abelian branched covers
Atalan, Ferihe; Medetogullari, Elif; Ozan, Yıldıray (2020-11-01)
We investigate branched regular finite abelian A-covers of the 2-sphere, where every homeomorphism of the base (preserving the branch locus) lifts to a homeomorphism of the covering surface. In this study, we prove that if...
Algebraic Topology (Math 537)
Ozan, Yıldıray(2020-10-13)
Course Content Fundamental group, Van Kampen’s Theorem, covering spaces. Singular homology: Homotopy invariance, homology long exact sequence, Mayer-Vietoris sequence, excision. Cellular homology. Homology with coefficient...
Introduction to Real Analysis (Math 349)
Ozan, Yıldıray(2020-10-13)
Course Content LUB Property of real numbers. Compactness, connectedness, limits and continuity in metric spaces. Sequences and series of scalars, complete metric spaces, limsup. Sequences and series of functions, uniform ...
On the discretization of Darboux Integrable Systems
Zheltukhın, Kostyantyn; ZHELTUKHİNA, NATALYA (Informa UK Limited, 2020-10-01)
We study the discretization of Darboux integrable systems. The discretization is done using x-, y-integrals of the considered continuous systems. New examples of semi-discrete Darboux integrable systems are obtained.
An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows
Demir, Medine; Kaya, Songul (Elsevier BV, 2020-10-01)
This report extends the mathematical support of a subgrid artificial viscosity (SAV) method to simulate the incompressible Navier-Stokes equations to better performing a linearly extrapolated BDF2 (BDF2LE) time discretizat...
Good action on a finite group
Ercan, Gülin; GÜLOĞLU, İSMAİL ŞUAYİP; Jabara, Enrico (Elsevier BV, 2020-10-01)
Let G and A be finite groups with A acting on G by automorphisms. In this paper we introduce the concept of "good action"; namely we say the action of A on G is good, if H = [H, B]C-H (B) for every subgroup B of A and ever...
Shunting inhibitory cellular neural networks with strongly unpredictable oscillations
Akhmet, Marat; Seilova, Roza; Tleubergenova, Madina; Zhamanshin, Akylbek (Elsevier BV, 2020-10-01)
The paper considers a new type of solutions for shunting inhibitory cellular neural networks (SICNNs), strongly unpredictable oscillations. The conditions for the existence, uniqueness and stability of the solutions are de...
Strongly Unpredictable Oscillations of Hopfield-Type Neural Networks
Akhmet, Marat; Tleubergenova, Madina; Nugayeva, Zakhira (2020-10-01)
In this paper, unpredictable oscillations in Hopfield-type neural networks is under investigation. The motion strongly relates to Poincare chaos. Thus, the importance of the dynamics is indisputable for those problems of a...
Unpredictable Solutions of Linear Impulsive Systems
Akhmet, Marat; Tleubergenova, Madina; Fen, Mehmet Onur; Nugayeva, Zakhira (2020-10-01)
We consider a new type of oscillations of discontinuous unpredictable solutions for linear impulsive nonhomogeneous systems. The models under investigation are with unpredictable perturbations. The definition of a piecewis...
Counting Boolean functions with faster points
Salagean, Ana; Özbudak, Ferruh (Springer Science and Business Media LLC, 2020-09-01)
Duan and Lai introduced the notion of "fast point" for a Boolean function f as being a direction a so that the algebraic degree of the derivative of f in direction a is strictly lower than the expected deg(f) - 1. Their st...
Subspace packings: constructions and bounds
Etzion, Tuvi; Kurz, Sascha; Otal, Kamil; Özbudak, Ferruh (Springer Science and Business Media LLC, 2020-09-01)
Grassmannian Gq (n, k) is the set of all k-dimensional subspaces of the vector space Fn q. Kotter and Kschischang showed that codes in Grassmannian space can be used for error-correction in random network coding. On the ot...
omega-Circularity of Yablo's Paradox
Cevik, Mullet (Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University, 2020-09-01)
In this paper, we strengthen Hardy's [1995] and Ketland's [2005] arguments on the issues surrounding the self-referential nature of Yablo's paradox [1993]. We first begin by observing that Priest's [1997] construction of t...
Frobenius action on Carter subgroups
Ercan, Gülin; GÜLOĞLU, İSMAİL ŞUAYİP (World Scientific Pub Co Pte Lt, 2020-08-01)
Let G he a finite solvable group and H be a subgroup of Aut(G). Suppose that there exists an H-invariant Carter subgroup F of G such that the semidirect product FH is a Frobenius group with kernel F and complement H. We pr...
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