Browsing Mathematics / Matematik by Issue Date
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Mathematica applications on time scales
(Springer, 2005)Stefan Hilger introduced the calculus on time scales in order to unify continuous and discrete analysis in 1988. The study of dynamic equations is an active area of research since time scales unifies both discrete and ... 
The finite element method for MHD flow at high Hartmann numbers
(Elsevier, 200503)A stabilized finite element method using the residualfree bubble functions (RFB) is proposed for solving the governing equations of steady magnetohydrodynamic duct flow. A distinguished feature of the RFB method is the ... 
Soliton resonances for the MKPII
(Springer, 200507)Using the second flow (derivative reactiondiffusion system) and the third one of the dissipative SL(2, ℝ) KaupNewell hierarchy, we show that the product of two functions satisfying those systems is a solution of the ... 
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 ... 
Vector shock soliton and the Hirota bilinear method
(Elsevier, 200510)The Hirota bilinear method is applied to find an exact shock soliton solution of the system reactiondiffusion equations for ncomponent vector order parameter, with the reaction part in form of the third order polynomial, ... 
On the importance of publickey validation in the MQV and HMQV key agreement protocols
(Springer, 2006)HMQV is a hashed variant of the MQV key agreement protocol proposed by Krawczyk at CRYPTO 2005. In this paper, we present some attacks on HMQV and MQV that are successful if public keys are not properly validated. In ... 
Casimir energies for some single cavities
(TÜBİTAK, 2006)Casimir energies for some single cavities. Casimir energies are discussed for some cavities. 
Ecalculus at IZTECH
(Springer, 2006)In today's new economy, characterized by industrial revolutions, globalization and information technology changes traditional classroom and teaching methods. Calculus is the basic course for the fresher at university. ... 
A Stabilizing subgrid for convectiondiffusion problem
(World Scientific Publishing, 200602)A stabilizing subgrid which consists of a single additional node in each triangular element is analyzed by solving the convectiondiffusion problem, especially in the case of small diffusion. The choice of the location of ... 
Analysis of a corner layer problem in anisotropic interfaces
(Southwest Missouri State University, 200603)We investigate a model of anisotropic diffuse interfaces in ordered FCC crystals introduced recently by Braun et al and Tanoglu et al [3, 18, 19], focusing on parametric conditions which give extreme anisotropy. For a ... 
Finite element method solution of electrically driven magnetohydrodynamic flow
(Elsevier, 200608)The magnetohydrodynamic (MHD) flow in a rectangular duct is investigated for the case when the flow is driven by the current produced by electrodes, placed one in each of the walls of the duct where the applied magnetic ... 
Symbolic computation of Petri nets
(Springer, 2007)Petri nets are receiving increasing attention from the scientific community during the last few years. They provide the users with a powerful formalism for describing and analyzing a variety of information processing systems ... 
New casimir energy calculations
(World Scientific Publishing, 2007)New Casimir energy results for massless scalar field in some 3 dimensional cavities are presented. We attempted to discuss the correlation between the sign and the magnitude of the energy and the shape of the cavities. ... 
Modules over Prüfer domains which satisfy the radical formula
(Cambridge University Press, 200701)In this paper we prove that if R is a Prüfer domain, then the Rmodule R ⊕ R satisfies the radical formula. © 2007 Glasgow Mathematical Journal Trust. 
Second order diffraction of water waves by a bottom mounted vertical circular cylinder and some related numerical problems
(American Society of Mechanical Engineers, 200702)A Hankel transformation is used to obtain the second order diffraction solution of vertical cylinder of circular cross section. The improper integral over the free surface is tackled carefully. The singularity at the free ... 
Dissipative hierarchies and resonance solitons for KPII and MKPII
(Elsevier, 200703)We show that dissipative solitons (dissipatons) of the second and the third members of SL(2,R) AKNS hierarchy give rise to the real solitons of KPII, while for SL(2,R) KaupNewell hierarchy they give solitons of MKPII. ... 
The resonant nonlinear Schrödinger equation in cold plasma physics. Application of BäcklundDarboux transformations and superposition principles
(Cambridge University Press, 200704)A system of nonlinear equations governing the transmission of uniaxial waves in a cold collisionless plasma subject to a transverse magnetic field is reduced to the recently proposed resonant nonlinear Schrödinger (RNLS) ... 
Applying Mathematica and webMathematica to graph coloring
(Elsevier, 200706)This paper analyzes some graph issues by using the symbolic program Mathematica and its version for the Web, webMathematica. In particular, we consider the problem of graph coloring: the assignment of colors to the ... 
Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method
(Springer, 200707)We use the Hirota bilinear approach to consider physically relevant soliton solutions of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions, recently proposed for describing uniaxial waves in ... 
Abelian ChernSimons vortices and holomorphic Burgers hierarchy
(Springer, 200707)We consider the Abelian ChernSimons gauge field theory in 2+1 dimensions and its relation to the holomorphic Burgers hierarchy. We show that the relation between the complex potential and the complex gauge field as in ...