Department department "Izmir Institute of Technology. Mathematics" and
Now showing items 120 of 113

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 ... 
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 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 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 ... 
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 ... 
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 ... 
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 ... 
Boundary value problems for the laplace equation using integral equation approach
(Izmir Institute of Technology, 201607)The main goal of this thesis is to solve numerically the exterior and interior Robin boundary value problems via a boundary integral equation method, which has an advantage of decreasing the computational dimension of the ... 
Classical and Quantum Euler equation
(Izmir Institute of Technology, 2007)In the present thesis we give generalization of analytical mechanics to describe dynamical systems with dissipation. The Lagrangian function in this case is determined by nonstationary pseudoRiemannian metric for the ... 
Classical time splitting approaches and their error anlyses for nonlinear differential equations
(Izmir Institute of Technology, 201806)In this thesis, Lie  Trotter splitting, Strang  Marchuk splitting and symmetrically weighted sequential (SWS) splitting methods which are known as classical operator splitting methods are considered to find the numerical ... 
Cocoatomically supplemented modules
(Izmir Institute of Technology, 2013)The purpose of this study to define cocoatomically supplemented modules, cocoatomically supplemented modules, cocoatomically weak supplemented modules and cocoatomically amply supplemented modules and examine them over ... 
Cofinitely weak supplemented modules
(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
(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 ... 
Comparison of geometric integrator methods for Hamilton systems
(Izmir Institute of Technology, 2009)Geometric numerical integration is relatively new area of numerical analysis The aim of a series numerical methods is to preserve some geometric properties of the flow of a differential equation such as symplecticity or ...