Browsing by Department "Izmir Institute of Technology. Mathematics"
Now showing items 120 of 159

A1L10 phase boundaries and anisotropy via multipleorderparameter theory for an fcc alloy
(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 ... 
Abelian ChernSimons vortices and holomorphic Burgers hierarchy
(Springer, 200707)We consider the Abelian ChernSimons gauge field theory in 2+1 dimensions and its relation to the holomorphic Burgers hierarchy. We show that the relation between the complex potential and the complex gauge field as in ... 
Absolutely supplement and absolutely complement modules
(Izmir Institute of Technology, 2004)We introduce and study absolutely supplement (respectively complement) modules. We call a module an absolutely supplement (respectively complement) if it is a supplement (respectively complement) in every module containing ... 
Almost localglobal rings
(Izmir Institute of Technology, 201707)The main purpose of this thesis is to investigate the Invariant Factor Theorem for Prüfer domains. In accordance with this aim, we give a survey of necessary and su cient conditions on a Prüfer domain to satisfy the ... 
Analysis of a corner layer problem in anisotropic interfaces
(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 ... 
Analysis of finite difference methods for convectiondiffusion problem
(Izmir Institute of Technology, 2004)We consider finite difference methods for one dimensional convection diffusion problem. An error analysis shows that the solution of the upwind scheme is not uniformly convergent in the discrete maximum norm due to its ... 
Analytic functions on time scales
(Izmir Institute of Technology, 2007)The concept of analyticity for complex functions on time scale complex plane was introduced by Bohner and Guseinov in 2005. They developed completely delta differentiability, delta analytic functions on products of two ... 
Apollonius representation and complex geometry of entangled qubit states
(Izmir Institute of Technology, 201807)In present thesis, a representation of one qubit state by points in complex plane is proposed, such that the computational basis corresponds to two fixed points at a finite distance in the plane. These points represent ... 
An application of the finite differences method to a dynamical interface problem
(Izmir Institute of Technology, 2004)A multipleorderparameter model for CuAu system on a face cubic centered lattice was recently developed in the presence of anisotropy. In that model, three order parameters (nonconserved) and one concentration order ... 
An application with webMathematica
(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
(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 ... 
Applications of Petri nets
(Izmir Institute of Technology, 2008)Petri nets are powerful formalism for modeling a wide range of dynamic systems and system behaviors. This thesis surveys the basic concept and application of Petri nets. The structure of Petri nets, their marking and ... 
Applying Mathematica and webMathematica to graph coloring
(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 ... 
Approximation theorems for Krull domains
(Izmir Institute of Technology, 2014)Let R be an integrally closed domain, and denote by I(R) the multiplicative group of all invertible fractional ideals of R. Let {Vi}i∈I be the family of valuation overrings of R, and denote by Gi the corresponding value ... 
Asymptotic behavior of linear impulsive integrodifferential equations
(Elsevier, 200808)Asymptotic equilibria of linear integrodifferential equations and asymptotic relations between solutions of linear homogeneous impulsive differential equations and those of linear integrodifferential equations are ... 
Azimuthal anisotropy of charged particles with transverse momentum up to 100 GeV/c in PbPb collisions at √sNN=5.02 TeV
(Elsevier, 201801)The Fourier coefficients v2 and v3 characterizing the anisotropy of the azimuthal distribution of charged particles produced in PbPb collisions at sNN=5.02 TeV are measured with data collected by the CMS experiment. The ... 
Basic calculus on time scale with mathematica
(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 ... 
Berry's phase under the DzyaloshinskiiMoriya interaction
(American Physical Society, 200806)In this paper, we study the DzyaloshinskiiMoriya (DM) anisotropic XX spinchain model in the presence of an external homogeneous magnetic field. We found that the Berry phase of the system varies interestingly with small ... 
Black holes and solitons of the quantized dispersionless NLS and DNLS equations
(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 ... 
Boundary controller and observer design for Kortewegde Vries type equations
(Izmir Institute of Technology, 201712)This thesis studies the backstepping boundary controllability of Kortewegde Vries (KdV) type equations posed on a bounded interval. The results on the backstepping controllability of the KdV equation obtained in Cerpa ...