Department department "İzmir Institute of Technology. Mathematics" and
Now showing items 120 of 76

Absolutely supplement and absolutely complement modules
(İzmir 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
(İzmir 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
(İzmir 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
(İzmir 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 ... 
An application of the finite differences method to a dynamical interface problem
(İzmir 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
(İzmir 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
(İzmir 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
(İzmir 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
(İzmir 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
(İzmir 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 ... 
Cocoatomically supplemented modules
(İzmir 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 ... 
Comparison of geometric integrator methods for Hamilton systems
(İzmir 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
(İzmir 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
(İzmir 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
(İzmir 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 ... 
Convergence analysis of operator splitting methods for the BurgersHuxley equation
(İzmir Institute of Technology, 201507)The purpose of this thesis is to investigate the implementation of the two operator splitting methods; LieTrotter splitting and Strang splitting method applied to the Burgers Huxley equation and prove their convergence ... 
Damping oscillatory models in general theory of relativity
(İzmir 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
(İzmir 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 ... 
Dynamical systems on time scales
(İzmir Institute of Technology, 2007)In this thesis, we have studied dynamical systems on time scales. Firstly, we give basic definitions and theorems about the time scales and dynamical systems. We present Floquet theory and stability criterion on periodic ... 
Edge coloring of a graph
(İzmir Institute of Technology, 2004)The edge coloring problem is one of the fundamental problem on graphs which often appears in various scheduling problems like the le transfer problem on computer networks. In this thesis, we survey old and new results on ...