Department department "Izmir Institute of Technology. Mathematics" and Faculty of Science / Fen Fakültesi
Now showing items 120 of 28

A1L10 phase boundaries and anisotropy via multipleorderparameter theory for an fcc alloy
(European Mathematical Society Publishing House, 2003)The dependence of thermodynamic properties of planar interphase boundaries (IPBs) and antiphase boundaries (APBs) in a binary alloy on an fcc lattice is studied as a function of their orientation. Using a recently developed ... 
An application with webMathematica
(Springer, 2003)There have been many technological dawns in the last 30 years, during which the desktop computer and the Internet have been developed. The importance of Internet in education, particularly using its Web is a wellrecognized ... 
Basic calculus on time scale with mathematica
(Springer, 2003)Mathematical modeling of time dependent systems are always interesting for applied mathematicians. First continuous and then discrete mathematical modeling are built during the mathematical development from ancient to the ... 
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 ... 
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 ... 
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 ... 
Graph coloring with webMathematica
(Springer, 2004)Coloring of a graph is an assignment of colors either to the edges of the graph G, or to vertices, or to maps in such a way that adjacent edges/vertices/maps are colored differently. We consider the problem of coloring ... 
Inequalities for buckling of a clamped plate
(TARU Publications, 2002)We study the eigenvalue problems for the buckling of a clamped plate. The previous upper bound on low eigenvalues due to Payne, Pólya, and Weinberger, and Rile and Yeh are reviewed. Using methods similar to those used in ... 
Inequalities for the vibrating clamped plate problem
(TÜBİTAK, 2001)We study the eigenvalues of the vibrating clamped plate problem. We have made improvements on the bounds of the ratios of the eigenvalues of the biharmonic operator (clamped plate) using the methods of Payne, Polya, and ... 
The nearlyoptimal PetrovGalerkin method for convectiondiffusion problems
(Elsevier, 200306)The nearlyoptimal PetrovGalerkin (NOPG) method is employed to improve finite element computation of convectiondominated transport phenomena. The design of the NOPG method for convectiondiffusion is based on consideration ... 
The NewtonWigner localization concept and noncommutative space
(Kluwer Academic Publishers, 2005)In the formulation of the NewtonWigner postulates for the relativistic localized states the hypothesis of commutativity of the position operator components is silently accepted as an evident fact. In the present work it ... 
On classical and quantum qoscillators in the relativistic theory
(Springer, 200411)The factorization method, applied to the finitedifference Schrödinger equation in the relativistic configurational space, allows to consider the qdeformations as a relativistic effect. In particular, different factorizations ... 
On scattering from the onedimensional multiple Dirac delta potentials
(Institute of Physics Publishing, 201803)In this paper, we propose a pedagogical presentation of the LippmannSchwinger equation as a powerful tool, so as to obtain important scattering information. In particular, we consider a onedimensional system with a ... 
Pseudomultiscale functions for the stabilization of convectiondiffusion equations on rectangular grids
(Begell House, 2013)We propose a finite element method of PetrovGalerkin type for a singularly perturbed convection diffusion problem on a discretization consisting of rectangular elements. The method is based on enriching the finiteelement ... 
Pseudorapidity distributions of charged hadrons in protonlead collisions at √sNN=5.02 and 8.16 TeV
(Springer, 201801)The pseudorapidity distributions of charged hadrons in protonlead collisions at nucleonnucleon centerofmass energies sNN=5.02 and 8.16 TeV are presented. The measurements are based on data samples collected by the CMS ... 
qdeformed and cDeformed Harmonic Oscillators
(Yukawa Institute for Theoretical Physics, 200310)Hamilton functions of classical deformed oscillators (cdeformed oscillators) are derived from Hamiltonians of gdeformed oscillators of the Macfarlane and Dubna types. A new scale parameter, lq, with the dimension of ... 
Relation between relativistic and nonrelativistic quantum mechanics as integral transformation
(Springer, 200204)A formulation of quantum mechanics (QM) in the relativistic configurational space (RCS) is considered. A transformation connecting the nonrelativistic QM and relativistic QM (RQM) has been found in an explicit form. This ... 
Resonance solitons as black holes in Madelung fluid
(World Scientific Publishing, 200208)Envelope solitons of the Nonlinear Schrödinger equation (NLS) under quantum potential's influence are studied. Corresponding problem is found to be integrable for an arbitrary strength, s ≠ 1, of the quantum potential. For ...