Browsing Master Degree / Yüksek Lisans Tezleri by Department "Izmir Institute of Technology. Mathematics"
Now showing items 120 of 71

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 ... 
Algebraic methods and exact solutions of quantum parametric oscillators
(Izmir Institute of Technology, 201906)In this thesis, we study different approaches for solving the Schrödinger equation for quantum parametric oscillators. The WeiNorman algebraic approach, the Lewis Riesenfeld invariant approach, the MalkinMankoTrifonov ... 
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 ... 
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 ... 
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 ... 
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 ... 
Computation of the convection diffusion equation by the fourth order compact finite difference method
(Izmir Institute of Technology, 2015)This dissertation aims to develop various numerical techniques for solving the one dimensional convection–diffusion equation with constant coefficient. These techniques are based on the explicit finite difference approximations ... 
Confinitely amply weakly supplemented modules
(Izmir Institute of Technology, 2005)We study amply weak supplemented modules and co¯nitely amply weakly supplemented modules in this thesis. We prove that every factor module, homomorphic image, supplemented submodule of an amply (co¯nitely) weak supplemented ... 
Convergence analysis and numerical solutions of the Fisher's and BenjaminBonoMahony equations by operator splitting method
(Izmir Institute of Technology, 2014)This thesis is concerned with the operator splitting method for the Fisher’s and BenjaminBonoMahony type equations. We showthat the correct convergence rates inHs(R) space for Lie Trotter and Strang splitting method ... 
Damping oscillatory models in general theory of relativity
(Izmir Institute of Technology, 2007)In my thesis we have studied the universe models as dynamical systems which can be represented by harmonic oscillators. For example, a harmonic oscillatior equation is constructed by the transformation of the Riccati ... 
The Dirichlet problem for the fractional Laplacian
(Izmir Institute of Technology, 201712)This thesis is an introduction to the fractional Sobolev spaces and the fractional Laplace operator. We define the fractional Sobolev spaces and give their properties by comparing them with the classical version of Sobolev ... 
Discrete fractional integral operators and their relations to number theory
(Izmir Institute of Technology, 201807)The aim of this thesis is to get estimates on discrete fractional integral operators by using number theory. These operators, starting with the studies of Arkipov and Oskolkov, have been investigated for a long time. ...