Listar Dpto. Ingeniería Matemática e Informática - Matematika eta Informatika Ingeniaritza Saila por fecha de publicación
Mostrando ítems 1-20 de 82
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Basketball player on-body biophysical and environmental parameter monitoring based on wireless sensor network integration
Sport activities have benefited in recent years from the progressive adoption of different technological assets in order to improve individual as well as group training, collect different statistics or enhance the spectator ... -
Radio wave propagation and WSN deployment in complex utility tunnel environments
The significant growth of wireless communications systems in the last years has led to the adoption of a wide range of applications not only for the general public but, also, including utilities and administrative authorities. ... -
Singular reduction of resonant Hamiltonians
We investigate the dynamics of resonant Hamiltonians with n degrees of freedom to which we attach a small perturbation. Our study is based on the geometric interpretation of singular reduction theory. The flow of the ... -
Convergent and asymptotic methods for second-order difference equations with a large parameter
We consider the second-order linear difference equation y(n+2)−2ay(n+1)−Λ2y(n)=g(n)y(n)+f(n)y(n+1) , where Λ is a large complex parameter, a≥0 and g and f are sequences of complex numbers. Two methods are proposed to find ... -
The asymptotic expansion of the swallowtail integral in the highly oscillatory region
The mathematical models of many short wavelength phenomena, specially wave propagation and optical diffraction, contain, as a basic ingredient, oscillatory integrals with several nearly coincident stationary phase or ... -
Uniform convergent expansions of the Gauss hypergeometric function in terms of elementary functions
We consider the hypergeometric function 2F1(a, b; c; z) for z ∈ C \ [1,∞). For Ra ≥ 0, we derive a convergent expansion of 2F1(a, b; c; z) in terms of the function (1 − z)−a and of rational functions of z that is uniformly ... -
Uniform representation of the incomplete beta function in terms of elementary functions
We consider the incomplete beta function Bz(a, b) in the maximum domain of analyticity of its three variables: a, b, z ∈ C, −a /∈ N, z /∈ [1, ∞). For <b ≤ 1 we derive a convergent expansion of z−aBz(a, b) in terms of the ... -
New asymptotic expansion and error bound for Stirling formula of reciprocal Gamma function
Studying the problem about if certain probability measures are determinate by its moments [4, 8, 10] is useful to know the asymptotic behavior of the probability densities for large values of argument. This requires, ... -
Educational games to enhance museum visits for schools
Museums usually look for new educational tools to enhance their exhibition. The Oteiza's museum in Navarre (Spain) especially gives importance to the dissemination of Jorge Oteiza's work to children at schools. Consequently, ... -
An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems
In this paper we deal with solving efficiently 2D linear parabolic singularly perturbed systems of convection–diffusion type. We analyze only the case of a system of two equations where both of them feature the same diffusion ... -
Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance
We study the dynamics of a family of perturbed three-degree-of-freedom Hamiltonian systems which are in 1:1:1 resonance. The perturbation consists of axially symmetric cubic and quartic arbitrary polynomials. Our analysis ... -
Oscillatory motions in restricted N-body problems
We consider the planar restricted N-body problem where the N−1 primaries are assumed to be in a central configuration whereas the infinitesimal particle escapes to infinity in a parabolic orbit. We prove the existence of ... -
Implementation and operational analysis of an interactive intensive care unit within a smart health context
In the context of hospital management and operation, Intensive Care Units (ICU) are one of the most challenging in terms of time responsiveness and criticality, in which adequate resource management and signal processing ... -
The use of two-point Taylor expansions in singular one-dimensional boundary value problems I
We consider the second-order linear differential equation (x + 1)y′′ + f(x)y′ + g(x)y = h(x) in the interval (−1, 1) with initial conditions or boundary conditions (Dirichlet, Neumann or mixed Dirichlet-Neumann). The ... -
Asymptotic and convergent expansions for solutions of third-order linear differential equations with a large parameter
In previous papers [6–8,10], we derived convergent and asymptotic expansions of solutions of second order linear differential equations with a large parameter. In those papers we generalized and developed special cases not ... -
Convergent expansions of the Bessel functions in terms of elementary functions
We consider the Bessel functions Jν (z) and Yν (z) for ν > −1/2 and z ≥ 0. We derive a convergent expansion of Jν (z) in terms of the derivatives of (sin z)/z, and a convergent expansion of Yν (z) in terms of derivatives ... -
On the modeling of the concept: “The Contents of the Empty Set" using the activity orderings family (⊑w)w∈L in a distributive lattice ( L, ≤ ). An interpretation of those order relations ⊑w as alternative inclusions (“w-Inclusions") and of its associated inf- operators ⨅w as additional intersections (“w-Intersections”), both in the Intuitive set theory and in the L-fuzzy set theory. (In Spanish)
A mathematical model is presented to define new inclusions, intersections and unions as alternatives to the usual ones between crisp and fuzzy subsets. In particular, the concept of “the non-trivial content of the empty ... -
An extension of the multiple Erdélyi-Kober operator and representations of the generalized hypergeometric functions
In this paper we investigate the extension of the multiple Erd elyi-Kober fractional integral operator of Kiryakova to arbitrary complex values of parameters by the way of regularization. The regularization involves ... -
A note on the asymptotic expansion of the Lerch’s transcendent
In Ferreira and López [Asymptotic expansions of the Hurwitz–Lerch zeta function. J Math Anal Appl. 2004;298(1):210–224], the authors derived an asymptotic expansion of the Lerch's transcendent Φ(z,s,a) for large |a|, valid ... -
Order barrier for low-storage DIRK methods with positive weights
In this paper we study an order barrier for low-storage diagonally implicit Runge-Kutta (DIRK) methods with positive weights. The Butcher matrix for these schemes, that can be implemented with only two memory registers in ...