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GaussGalerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis
(ComputerAided Design, 20160701)We introduce Gaussian quadrature rules for spline spaces that are frequently used in Galerkin discretizations to build mass and stiffness matrices. By definition, these spaces are of even degrees. The optimal quadrature ... 
Gaussian Decay of Harmonic Oscillators and related models
(Journal of Mathematical Analysis and Applications, 20170515)We prove that the decay of the eigenfunctions of harmonic oscillators, uniform electric or magnetic fields is not stable under 0order complex perturbations, even if bounded, of these Hamiltonians, in the sense that we can ... 
Gaussian quadrature for $C^1$ cubic CloughTocher macrotriangles
(Journal of Computational and Applied Mathematics, 20181031)A numerical integration rule for multivariate cubic polynomials over ndimensional simplices was designed by Hammer and Stroud [14]. The quadrature rule requires n + 2 quadrature points: the barycentre of the simplex and ... 
Gaussian quadrature rules for $C^1$ quintic splines with uniform knot vectors
(Journal of Computational and Applied Mathematics, 20170322)We provide explicit quadrature rules for spaces of $C^1$ quintic splines with uniform knot sequences over finite domains. The quadrature nodes and weights are derived via an explicit recursion that avoids numerical solvers. ... 
General têteàtête graphs and Seifert manifolds
(20180210)Têteàtête graphs and relative têteàtête graphs were introduced by N. A’Campo in 2010 to model monodromies of isolated plane curves. By recent work of Fdez de Bobadilla, Pe Pereira and the author, they provide a way ... 
Generalization of the Pythagorean Eigenvalue Error Theorem and its Application to Isogeometric Analysis
(Numerical Methods for PDEs, 20181013)This chapter studies the effect of the quadrature on the isogeometric analysis of the wave propagation and structural vibration problems. The dispersion error of the isogeometric elements is minimized by optimally blending ... 
Generalization of the Zlámal condition for simplicial finite elements in ℝ d
(Applications of Mathematics, 20111231)The famous Zlámal's minimum angle condition has been widely used for construction of a regular family of triangulations (containing nondegenerating triangles) as well as in convergence proofs for the finite element method ... 
Generalized Nash equilibria for SaaS/PaaS Clouds
(European Journal of Operational Research, 20141231)Cloud computing is an emerging technology that allows to access computing resources on a payperuse basis. The main challenges in this area are the efficient performance management and the energy costs minimization. In ... 
Generalized restless bandits and the knapsack problem for perishable inventories
(Operations Research, 20141231)In this paper we introduce the knapsack problem for perishable inventories concerning the optimal dynamic allocation of a collection of products to a limited knapsack. The motivation for designing such a problem comes from ... 
Generation of twodimensional water waves by moving bottom disturbances
(IMA Journal of Applied Mathematics, 20141231)In this study we investigate the potential and limitations of the wave genera tion by disturbances moving at the bottom. More precisely, we assume that the wavemaker is composed of an underwater object of a given shape ... 
Geometric inequalities from phase space translations
(20160722)We establish a quantum version of the classical isoperimetric inequality relating the Fisher information and the entropy power of a quantum state. The key tool is a Fisher information inequality for a state which results ... 
Geometry and temperature dependent thermal conductivity of diamond nanowires: A nonequilibrium molecular dynamics study
(Physica E: LowDimensional Systems and Nanostructures, 20101231)Using nonequilibrium molecular dynamics methods, the analysis of geometry and temperature dependent thermal conductivities of diamond nanowires is carried out. It is found that at the same temperature conditions, thermal ... 
Geometry shapes propagation: Assessing the presence and absence of cortical symmetries through a computational model of cortical spreading depression
(Frontiers in Computational Neuroscience, 20151231)Cortical spreading depression (CSD), a depolarization wave which originates in the visual cortex and travels toward the frontal lobe, has been suggested to be one neural correlate of aura migraine. To the date, little is ... 
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 ... 
Global Attractor for a Generalized Discrete Nonlinear Schrödinger Equation
(Acta Applicandae Mathematicae, 20141231)A generalized discrete nonlinear Schr√∂dinger equation (Formula presented.) with longrange interactions in weighted spaces (Formula presented.) is considered. Under suitable assumptions on the coupling constants J(m), the ... 
Global dynamics of a cell mediated immunity in viral infection models with distributed delays
(Journal of Mathematical Analysis and Applications, 20111231)In this paper, we investigate global dynamics for a system of delay differential equations which describes a virusimmune interaction in vivo. The model has two distributed time delays describing time needed for infection ... 
Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates
(Journal of Applied Mathematics and Computing, 20121231)In this paper, by constructing Lyapunov functionals, we consider the global dynamics of an SIRS epidemic model with a wide class of nonlinear incidence rates and distributed delays ∫ h 0 p(τ)f(S(t),I(t τ))dτ under the ... 
Global dynamics of a viral infection model with a latent period and BeddingtonDeAngelis response
(Nonlinear Analysis, Theory, Methods and Applications, 20111231)In this paper, we study the global dynamics of a viral infection model with a latent period. The model has a nonlinear function which denotes the incidence rate of the virus infection in vivo. The basic reproduction number ... 
Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates
(Journal of Difference Equations and Applications, 20121231)In this paper, by applying a variation of the backward Euler method, we propose a discretetime SIR epidemic model whose discretization scheme preserves the global asymptotic stability of equilibria for a class of corresponding ... 
Global dynamics of twocompartment models for cell production systems with regulatory mechanisms
(Mathematical Biosciences, 20131231)We present a global stability analysis of twocompartment models of a hierarchical cell production system with a nonlinear regulatory feedback loop. The models describe cell differentiation processes with the stem cell ...