Browsing by Department "Izmir Institute of Technology. Mathematics"
Now showing items 2140 of 156

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 ... 
Casimir energies for some single cavities
(TÜBİTAK, 2006)Casimir energies for some single cavities. Casimir energies are discussed for some cavities. 
The Cauchy problem for the planar spinliquid model
(IOP Publishing, 2005)In this paper, we study the Cauchy problem of a twodimensional model for a moving ferromagnetic continuum and prove global existence and uniqueness of solutions. In addition, equivalence to the coupled system of nonlinear ... 
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 ... 
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 ... 
A conserved linearization approach for solving nonlinear oscillation problems
(Natural Sciences Publishing, 201805)Nonlinear oscillation problems are extensively used in engineering and applied sciences. Due to nonavailability of the analytic solutions, numerical approaches have been used for these equations. In this study, a numerical ... 
Constraints on the doubleparton scattering cross section from samesign W boson pair production in protonproton collisions at √s=8 TeV
(Springer, 201802)A first search for samesign WW production via doubleparton scattering is performed based on protonproton collision data at a centerofmass energy of 8 TeV using dimuon and electronmuon final states. The search is based ... 
Convergence analysis and numerical solution of the BenjaminBonaMahony equation by LieTrotter splitting
(TUBITAK, 2018)In this paper, an operator splitting method is used to analyze nonlinear BenjaminBonaMahonytype equations. We split the equation into an unbounded linear part and a bounded nonlinear part and then LieTrotter splitting ... 
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 ... 
Convergence analysis of operator splitting methods for the BurgersHuxley equation
(Izmir 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
(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 ... 
Degenerate fourvirtualsoliton resonance for the KPII
(Springer, 200507)We propose a method for solving the (2+1)dimensional Kadomtsev Petviashvili equation with negative dispersion (KPII) using the second and third members of the disipative version of the AKNS hierarchy. We show that ... 
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. ...