Browsing by Department "Izmir Institute of Technology. Mathematics"
Now showing items 2140 of 189

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 shape and Casimir energy
(IOP Publishing, 200908)Casimir energy changes are investigated for geometries obtained by small but arbitrary deformations of a given geometry for which the vacuum energy is already known for the massless scalar field. As a specific case, ... 
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 ... 
CAMPways: Constrained alignment framework for the comparative analysis of a pair of metabolic pathways
(Oxford University Press, 201307)Motivation: Given a pair of metabolic pathways, an alignment of the pathways corresponds to a mapping between similar substructures of the pair. Successful alignments may provide useful applications in phylogenetic tree ... 
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 lattices
(Indian National Science Academy, 200910)In this paper it is shown that an Ecomplemented complete modular lattice L with small radical is weakly supplemented if and only if it is semilocal. L is a cofinitely weak supplemented lattice if and only if every maximal ... 
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 ... 
Comment on: The (G'/G)expansion method for the nonlinear lattice equations [Commun Nonlinear Sci Numer Simulat 17 (2012) 34903498]
(Elsevier, 201212)We show that two of the nonlinear lattice equations studied by Ayhan & Bekir [Commun Nonlinear Sci Numer Simulat 17 (2012) 34903498] have already been investigated by Aslan [Commun Nonlinear Sci Numer Simulat 15 (2010) ... 
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 ... 
Construction of exact solutions for fractionaltype differencedifferential equations via symbolic computation
(Elsevier, 201311)This paper deals with fractionaltype differencedifferential equations by means of the extended simplest equation method. First, an equation related to the discrete KdV equation is considered. Second, a system related to ... 
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 ...