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Asymptotically optimal parallel resource assignment with interference
(Queueing Systems, 20101231)Motivated by scheduling in cellular wireless networks and resource allocation in computer systems, we study a service facility with two classes of users having heterogeneous service requirement distributions. The aggregate ... 
Optimal routing in parallel, nonobservable queues and the price of anarchy revisited
(2010 22nd International Teletraffic Congress  Proceedings, ITC 22, 20101231)We consider a network of parallel, nonobservable queues and analyze the "price of anarchy", an index measuring the worstcase performance loss of a decentralized system with respect to its centralized counterpart in ... 
Complex systems in finance: Monte Carlo evaluation of first passage time density functions
(Procedia Computer Science, 20101231)Many examples of complex systems are provided by applications in finance and economics areas. Some of intrinsic features of such systems lie with the fact that their parts are interacting in a nontrivial dynamic manner ... 
Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
(Nonlinear Analysis, Theory, Methods and Applications, 20101231)In this paper, a logistic equation with multiple piecewise constant arguments is investigated in detail. We generalize the approach in two papers, [K. Uesugi, Y. Muroya, E. Ishiwata, On the global attractivity for a logistic ... 
Band structures of cylindrical AlN/GaN quantum dots with fully coupled piezoelectric models
(Proceedings of SPIE  The International Society for Optical Engineering, 20101231)We study the coupled electromechanical effects in the band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as AlN/GaN quantum dots. Some effects in these systems are essentially nonlinear. ... 
Localized solutions for the finite difference semidiscretization of the wave equation [Solutions localisées pour la semidiscrétisation par différences finies de l'équation des ondes]
(Comptes Rendus Mathematique, 20101231)We study the propagation properties of the solutions of the finite difference space semidiscrete wave equation on a uniform grid of the whole Euclidean space. We provide a construction of high frequency wave packets that ... 
Localized solutions and filtering mechanisms for the discontinuous Galerkin semidiscretizations of the 1d wave equation [Solutions localisées et mécanismes de filtrage pour les approximations de Galerkin discontinues de l'équation des ondes.]
(Comptes Rendus Mathematique, 20101231)We perform a complete Fourier analysis of the semidiscrete 1d wave equation obtained through a P1 discontinuous Galerkin (DG) approximation of the continuous wave equation on an uniform grid. The resulting system exhibits ... 
Exact Controllability of the Time Discrete Wave Equation: A Multiplier Approach
(Computational Methods in Applied Sciences, 20101231)In this paper we summarize our recent results on the exact boundary controllability of a trapezoidal time discrete wave equation in a bounded domain. It is shown that the projection of the solution in an appropriate space ... 
Asymptotics and stabilization for dynamic models of nonlinear beams
(Proceedings of the Estonian Academy of Sciences, 20101231)We prove that the von Kármán model for vibrating beams can be obtained as a singular limit of a modified MindlinTimoshenko system when the modulus of elasticity in shear k tends to infinity, provided a regularizing term ... 
Explicit energyminimizers of incompressible elastic brittle bars under uniaxial extension [Minimiseurs de l'énergie explicits d'une barre incompressible, élastique, mais fragile, soumise à une extension uniaxiale]
(Comptes Rendus Mathematique, 20101231)A rectangular bar made of a hyperelastic, but brittle, incompressible homogeneous and isotropic material is subject to uniaxial extension. We prove that the energy minimizers are, depending on the toughness coefficient of ... 
Optimal control and vanishing viscosity for the burgers equation
(Integral Methods in Science and Engineering: Analytic Methods, 20101231)[No abstract available] 
Highfrequency analysis of the efficiency of a local approximate DtN2 boundary condition for prolate spheroidalshaped boundaries
(Wave Motion, 20101231)The performance of the secondorder local approximate DtN boundary condition suggested in [4] is investigated analytically when employed for solving highfrequency exterior Helmholtz problems with elongated scatterers. ... 
Arithmetic method of doubleinjectionelectrode model for resistivity measurement through metal casing
(IEEE Transactions on Geoscience and Remote Sensing, 20101231)Throughcasing resistivity (TCR) measurement instruments such as Cased Hole Formation Resistivity are extensively used for the dynamic monitoring of oil reservoirs during the production phase in oil wells to evaluate the ... 
On global and local mesh refinements by a generalized conforming bisection algorithm
(Journal of Computational and Applied Mathematics, 20101231)We examine a generalized conforming bisection (GCB)algorithm which allows both global and local nested refinements of the triangulations without generating hanging nodes. It is based on the notion of a mesh density function ... 
Breast cancer dormancy can be maintained by small numbers of micrometastases
(Cancer Research, 20101231)Late relapse of breast cancer can occur more than 25 years after primary diagnosis. During the intervening years between initial treatment and relapse, occult cancers are maintained in an apparent state of dormancy that ... 
Microstructures of constrained shape memory alloy nanowires under thermal effects
(ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2010, 20101231)In this paper, martensitic transformations in constrained FePd nanowires are studied using a mesoscopic model analyzed in detail numerically in our earlier papers. The dynamics of squaretorectangular transformation is ... 
Numerical analysis of complex systems evolution with phase transformations at different spatial scales
(CivilComp Proceedings, 20101231)This paper shows the existence of a critical dimension for finite length nanowires exhibiting shape memory effects. We give a brief survey of phase transformations, their classifications, and provide the basis of mathematical ... 
Spinorbit interaction in threedimensionally bounded semiconductor nanostructures
(New Journal of Physics, 20101231)The structural inversion asymmetryinduced spinorbit interaction of conduction band electrons in zincblende and wurtzite semiconductor structures is analysed allowing for a threedimensional (3D) character of the external ... 
Price of anarchy in noncooperative load balancing games
(Performance Evaluation, 20111231)We investigate the price of anarchy of a load balancing game with K dispatchers. The service rates and holding costs are assumed to depend on the server, and the service discipline is assumed to be processorsharing at ... 
Competition yields efficiency in load balancing games
(Performance Evaluation, 20111231)We study a nonatomic congestion game with N parallel links, with each link under the control of a profit maximizing provider. Within this 'load balancing game', each provider has the freedom to set a price, or toll, for ...