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Browsing Mathematics / Matematik by Author "Izmir Institute of Technology. Mathematics"
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A1L10 phase boundaries and anisotropy via multipleorderparameter theory for an fcc alloy
Tanoğlu, Gamze; Braun, Richard J.; Cahn, John W.; McFadden, Geoffrey B. (European Mathematical Society Publishing House, 2003)The dependence of thermodynamic properties of planar interphase boundaries (IPBs) and antiphase boundaries (APBs) in a binary alloy on an fcc lattice is studied as a function of their orientation. Using a recently developed ... 
Analysis of a corner layer problem in anisotropic interfaces
Alikakos, N. D.; Bates, P. W.; Cahn, J. W.; Fife, P. C.; Fusco, G.; Tanoğlu, Gamze (Southwest Missouri State University, 200603)We investigate a model of anisotropic diffuse interfaces in ordered FCC crystals introduced recently by Braun et al and Tanoglu et al [3, 18, 19], focusing on parametric conditions which give extreme anisotropy. For a ... 
An application with webMathematica
Ufuktepe, Ünal (Springer, 2003)There have been many technological dawns in the last 30 years, during which the desktop computer and the Internet have been developed. The importance of Internet in education, particularly using its Web is a wellrecognized ... 
Applications of graph coloring
Ufuktepe, Ünal; Bacak, Gökşen (Springer, 2005)A graph G is a mathematical structure consisting of two sets V(G) (vertices of G) and E(G) (edges of G). Proper coloring of a graph is an assignment of colors either to the vertices of the graphs, or to the edges, in such ... 
Applying Mathematica and webMathematica to graph coloring
Ufuktepe, Ünal; Bacak, Gökşen (Elsevier, 200706)This paper analyzes some graph issues by using the symbolic program Mathematica and its version for the Web, webMathematica. In particular, we consider the problem of graph coloring: the assignment of colors to the ... 
Basic calculus on time scale with mathematica
Yantır, Ahmet; Ufuktepe, Ünal (Springer, 2003)Mathematical modeling of time dependent systems are always interesting for applied mathematicians. First continuous and then discrete mathematical modeling are built during the mathematical development from ancient to the ... 
Black holes and solitons of the quantized dispersionless NLS and DNLS equations
Pashaev, Oktay; Lee, Jyh Hao (Cambridge University Press, 200207)The classical dynamics of nonrelativistic particles are described by the Schrödinger wave equation, perturbed by quantum potential nonlinearity. Quantization of this dispersionless equation, implemented by deformation of ... 
Casimir energies for some single cavities
Ahmedov, Hacı; Duru, İsmail Hakkı (TÜBİTAK, 2006)Casimir energies for some single cavities. Casimir energies are discussed for some cavities. 
The Cauchy problem for the planar spinliquid model
Pashaev, Oktay; Chang, NaiHeng (IOP Publishing, 2005)In this paper, we study the Cauchy problem of a twodimensional model for a moving ferromagnetic continuum and prove global existence and uniqueness of solutions. In addition, equivalence to the coupled system of nonlinear ... 
Cofinitely weak supplemented modules
Alizade, Rafail; Büyükaşık, Engin (Taylor & Francis, 200311)We prove that a module M is cofinitely weak supplemented or briefly cws (i.e., every submodule N of M with M/N finitely generated, has a weak supplement) if and only if every maximal submodule has a weak supplement. If M ... 
Combination of inclusive and differential tt¯ charge asymmetry measurements using ATLAS and CMS data at √s = 7 and 8 TeV
CMS Collaboration; ATLAS Collaboration; Karapınar, Güler (Springer, 201801)This paper presents combinations of inclusive and differential measurements of the charge asymmetry (AC) in top quark pair (tt) events with a lepton+jets signature by the ATLAS and CMS Collaborations, using data from LHC ... 
Convergence analysis and numerical solution of the BenjaminBonaMahony equation by LieTrotter splitting
Zürnacı, Fatma; Gücüyenen Kaymak, Nurcan; Seydaoğlu, Muaz; Tanoğlu, Gamze (TUBITAK, 2018)In this paper, an operator splitting method is used to analyze nonlinear BenjaminBonaMahonytype equations. We split the equation into an unbounded linear part and a bounded nonlinear part and then LieTrotter splitting ... 
Degenerate fourvirtualsoliton resonance for the KPII
Pashaev, Oktay; Francisco, Meltem L. Y. (Springer, 200507)We propose a method for solving the (2+1)dimensional Kadomtsev Petviashvili equation with negative dispersion (KPII) using the second and third members of the disipative version of the AKNS hierarchy. We show that ... 
Dissipative hierarchies and resonance solitons for KPII and MKPII
Francisco, Meltem L. Y.; Lee, Jyh Hao; Pashaev, Oktay (Elsevier, 200703)We show that dissipative solitons (dissipatons) of the second and the third members of SL(2,R) AKNS hierarchy give rise to the real solitons of KPII, while for SL(2,R) KaupNewell hierarchy they give solitons of MKPII. ... 
Ecalculus at IZTECH
Ufuktepe, Ünal; Ufuktepe, Günnur; Deniz, Aslı; Dündar, Veli (Springer, 2006)In today's new economy, characterized by industrial revolutions, globalization and information technology changes traditional classroom and teaching methods. Calculus is the basic course for the fresher at university. ... 
Erratum 2: Search for dark matter and unparticles in events with a Z boson and missing transverse momentum in protonproton collisions at √s=13 TeV
CMS Collaboration; Karapınar, Güler (Springer, 201801)In the original paper, figure 10 was incorrect. The correct figure is shown below. Additionally, the unparticle entries in table 3, as well as figure 4 and 5 were labelled with incorrect values of ΛU. The entries correctly ... 
The finite element method for MHD flow at high Hartmann numbers
Neslitürk, Ali İhsan; Tezer, Münevver (Elsevier, 200503)A stabilized finite element method using the residualfree bubble functions (RFB) is proposed for solving the governing equations of steady magnetohydrodynamic duct flow. A distinguished feature of the RFB method is the ... 
Finite element method solution of electrically driven magnetohydrodynamic flow
Neslitürk, Ali İhsan; Tezer, Münevver (Elsevier, 200608)The magnetohydrodynamic (MHD) flow in a rectangular duct is investigated for the case when the flow is driven by the current produced by electrodes, placed one in each of the walls of the duct where the applied magnetic ... 
Graph coloring with webMathematica
Ufuktepe, Ünal; Bacak, Gökşen; Beşeri Sevim, Tina (Springer, 2004)Coloring of a graph is an assignment of colors either to the edges of the graph G, or to vertices, or to maps in such a way that adjacent edges/vertices/maps are colored differently. We consider the problem of coloring ... 
Inequalities for buckling of a clamped plate
Ufuktepe, Ünal; Mchale, K. P. (TARU Publications, 2002)We study the eigenvalue problems for the buckling of a clamped plate. The previous upper bound on low eigenvalues due to Payne, Pólya, and Weinberger, and Rile and Yeh are reviewed. Using methods similar to those used in ...