Dpto. Ingeniería Matemática e Informática - Matematika eta Informatika Ingeniaritza Saila
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Parallel solution of nonlinear parabolic problems on logically rectangular grids
This work deals with the efficient numerical solution of nonlinear transient flow problems posed on two-dimensional porous media of general geometry. We first consider a spatial semidiscretization of such problems by ... -
A combined fractional step domain decomposition method for the numerical integration of parabolic problems
In this paper we develop parallel numerical algorithms to solve linear time dependent coefficient parabolic problems. Such methods are obtained by means of two consecutive discretization procedures. Firstly, we realize ... -
Embedded pairs of fractional step Runge-Kutta methods and improved domain decomposition techniques for parabolic problems
In this paper we design and apply new embedded pairs of Frac- tional Step Runge-Kutta methods to the e±cient solution of multidimensional parabolic problems. These time integrators are combined with a suitable split- ting ... -
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 ... -
Charge transfer in the Rydberg hydrogen atom metal surface interaction: a transition state approach
We study the classical dynamics of a hydrogen atom near a metallic surface in the presence of a uniform electric field. By continuation of families of periodic orbits and surfaces of section we show that, due to the electric ... -
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. ... -
Redes de brainstorming y formación de equipos innovadores apoyado por herramientas Web 2.0
(Asociación Interacción Persona-Ordenador, 2009) Contribución a congreso / Biltzarrerako ekarpenaEsta investigación tiene como finalidad ofrecer una nueva forma de realización de la técnica brainstorming apoyada en herramientas informáticas Web2.0 para mejorar los procesos innovadores. Estas herramientas permiten la ... -
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 ... -
Decoupling mixed finite elements on hierarchical triangular grids for parabolic problems
In this paper, we propose a numerical method for the solution of time-dependent flow problems in mixed form. Such problems can be efficiently approximated on hierarchical grids, obtained from an unstructured coarse ... -
Optimal monotonicity-preserving perturbations of a given Runge–Kutta method
Perturbed Runge–Kutta methods (also referred to as downwind Runge–Kutta methods) can guarantee monotonicity preservation under larger step sizes relative to their traditional Runge–Kutta counterparts. In this paper we study ... -
Convergent and asymptotic expansions of solutions of differential equations with a large parameter: Olver cases II and III
This paper continues the investigation initiated in [Lopez, 2013]. We consider the asymptotic method designed by F. Olver [Olver, 1974] for linear differential equations of the second order containing a large (asymptotic) ... -
Representations of hypergeometric functions for arbitrary parameter values and their use
Integral representations of hypergeometric functions proved to be a very useful tool for studying their properties. The purpose of this paper is twofold. First, we extend the known representations to arbitrary values of ... -
Asymptotic behaviour of the Urbanik semigroup
We revisit the product convolution semigroup of probability densities ec(t); c > 0 on the positive half-line with moments (n!)c and determine the asymptotic behaviour of ec for large and small t > 0. This shows that (n!)c ... -
New series expansions of the 3F2 function
We can use the power series definition of 3F2(a1, a2, a3; b1, b2; z) to compute this function for z in the unit disk only. In this paper we obtain new expansions of this function that are convergent in larger domains. ... -
From start to finish: teenagers on the autism spectrum developing their own collaborative game
Purpose: The purpose of this paper is to investigate how teenagers on the autism spectrum respond to their involvement in the creation of a collaborative game, meeting the curriculum requirements in programming at secondary ... -
Modified Douglas splitting methods for reaction–diffusion equations
We present modifications of the second-order Douglas stabilizing corrections method, which is a splitting method based on the implicit trapezoidal rule. Inclusion of an explicit term in a forward Euler way is straightforward, ... -
Orthogonal basis for the optical transfer function
We propose systems of orthogonal functions qn to represent optical transfer functions (OTF) characterized by including the diffraction-limited OTF as the first basis function q0 OTF perfect. To this end, we apply a powerful ... -
Orthogonal basis with a conicoid first mode for shape specification of optical surfaces: reply
We present some comments to the paper 'Orthogonal basis with a conicoid first mode for shape specification of optical surfaces: comment'. -
Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge–Kutta–Nyström methods
We study some of the main features of Fractional Step Runge–Kutta–Nyström methods when they are used to integrate Initial–Boundary Value Problems of second order in time, in combination with a suitable spatial discretization. ... -
High order Nyström methods for transmission problems for Helmholtz equation
We present super-algebraic compatible Nyström discretizations for the four Helmholtz boundary operators of Calderón’s calculus on smooth closed curves in 2D. These discretizations are based on appropriate splitting of the ...