Browsing Master Degree / Yüksek Lisans Tezleri by Department "Izmir Institute of Technology. Mathematics"
Now showing items 2140 of 71

Dynamical systems on time scales
(Izmir 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
(Izmir 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 ... 
Exact solution of some nonlinear differential equations by Hirota method
(Izmir Institute of Technology, 2005)The Hirota Bilinear Method is applied to construct exact analytical one solitary wave solutions of some class of nonlinear differential equations. first one the system of multidimensional nonlinear wave equation with the ... 
Exactly solvab qextended nonlinear classical and quantum models
(Izmir Institute of Technology, 2011)In the present thesis we study qextended exactly solvable nonlinear classical and quantum models. In these models the derivative operator is replaced by qderivative, in the form of finite difference dilatation operator. ... 
Exactly solvable generalized quantum harmonic oscillators related with the classical orthogonal polynomials
(Izmir Institute of Technology, 201607)In this thesis, we study exactly solvable generalized parametric oscillators related with the classical orthogonal polynomials of Hermite, Laguerre and Jacobi type. These quantum models with specific damping term, frequency ... 
Finite element based stabilized methods for time dependent convectiondiffusion equation and their analysis
(Izmir Institute of Technology, 201612)This study is focused on a Fourier stability and accuracy analysis of the time integration algorithms using generalized trapezioidal family of methods of scalar unsteady convection–diffusion equation with periodic boundary ... 
Fourier analysis on the Lorentz group and relativistic quantum mechanics
(Izmir Institute of Technology, 2008)The nonrelativistic Schrödinger and LippmanSchwinger equations are described. The expressions of these equations are investigated in momentum and configuration spaces, using Fourier transformation. The plane wave, which ... 
Generalization of cofinitely supplemented modules to lattices
(Izmir Institute of Technology, 2005)In this thesis we study how to extend the notion of co¯nitely supplemented module to lattice theory. A submodule N of a module M is called co¯nite if the factor module M/N is ¯nitely generated and we say that M is a co¯nitely ... 
Generalized GoldenFibonacci calculus and applications
(Izmir Institute of Technology, 201807)In the present thesis the GoldenFibonacci calculus is developed and several applications of this calculus are obtained. The calculus is based on the Golden derivative as a finite difference operator with Golden and Silver ... 
Geometry of moving curves and soliton equations
(Izmir Institute of Technology, 2004)In this thesis we study relations between the motion of curves in classical differential geometry and nonlinear soliton equations. For the planar motion of curves we found hierarchy of MKdV (Modied Kortewegde Vries) ... 
Higher order symplectic methods based on modified vector fieldes
(Izmir Institute of Technology, 2009)The higher order, structure preserving numerical integrators based on the modified vector fields are used to construct discretizations of separable systems. This new approach is called as modifying integrators. Modified ... 
Higher order symplectic methods for separable Hamiltonian equations master of science
(Izmir Institute of Technology, 2010)The higher order, geometric structure preserving numerical integrators based on the modified vector fields are used to construct discretizations of separable Hamiltonian systems. This new approach is called as modifying ... 
Hydrodynamic interaction in rotational flow
(Izmir Institute of Technology, 2007)The interaction of water waves with arrays of vertical cylinders problem is studied using diffraction of water waves and addition theorem for bessel functions. The linear boundary value problem which is derived from physical ... 
The initial stages of gravity driven flows
(Izmir Institute of Technology, 2011)During the initial stage of dam breaking; the liquid flow and the free surface shape are investigated. We used smalltime approximation for this investigation and derived the leading order solution of classical dambreak ... 
Injective modules and their generalizations
(Izmir Institute of Technology, 201807)The main goal of this thesis is to give a survey about some different generalizations of injective modules, namely, C1, C2, C3conditions and the modules which satisfy the simple versions of these conditions. A right ... 
Integrable vortex dynamics and complex Burgers' equation
(Izmir Institute of Technology, 2005)Integrable dynamical models of the point magnetic vortex interactions in the plane are studied. Reformulating the Euler equations for vorticity in the Helmholtz form, the Hamiltonian and Lax representations are found. ... 
Kaleidoscope of quantum coherent states and units of quantum information
(Izmir Institute of Technology, 201807)In the present thesis, we study superposition of coherent states as the kaleidoscope of quantum coherent states, associated with regular npolygon symmetry and the roots of unity q2n = 1. These states are generalizations ... 
KrullSchmidt properties over rings of finite character
(Izmir Institute of Technology, 201607)The main purpose of this thesis is to investigate the notion of KrullSchmidt properties over rings of finite character. In accordance with this aim, we give a survey of necessary and sufficient conditions on an hlocal ... 
The least proper class containing weak supplement
(Izmir Institute of Technology, 2009)The main purpose of this thesis is to investigate the least proper class containing the classWS of Rmodules determined by weak supplement submodules over a ring R, in particular, over hereditary rings. A submodule A of a ... 
Lowertop and upperbottom points for any formula in temporal logic
(Izmir Institute of Technology, 2006)In temporal logic, which is a branch of modal logic, models are constructed on some kind of frames. Common properties of all these frames include totally ordered relations and these frames are bidirectional. These common ...