Recent Submissions

  • Decoupling mixed finite elements on hierarchical triangular grids for parabolic problems 

    Arrarás Ventura, Andrés Upna; Portero Egea, Laura Upna (Elsevier, 2018)   Artículo / Artikulua  OpenAccess
    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 

    Higueras Sanz, Inmaculada Upna; Ketcheson, David I.; Kocsis, Tihamér A. (Springer, 2018)   Artículo / Artikulua  OpenAccess
    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 

    Ferreira González, Chelo Upna; López García, José Luis Upna; Pérez Sinusía, Ester Upna (Rocky Mountain Mathematics Consortium, 2015)   Artículo / Artikulua  OpenAccess
    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 

    Karp, D. B.; López García, José Luis Upna (2017)   Artículo / Artikulua  OpenAccess
    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 

    Berg, Christian; López García, José Luis Upna (Elsevier, 2015)   Artículo / Artikulua  OpenAccess
    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 

    López García, José Luis Upna; Pagola Martínez, Pedro Jesús Upna; Pérez Sinusía, Ester Upna (2015)   Artículo / Artikulua  OpenAccess
    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 

    Bossavit, Benoît Upna; Parsons, Sarah (Emerald, 2017)   Artículo / Artikulua  OpenAccess
    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 

    Arrarás Ventura, Andrés Upna; Hout, K. J. in ’t; Hundsdorfer, W.; Portero Egea, Laura Upna (Springer, 2017)   Artículo / Artikulua  OpenAccess
    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 

    Ferreira González, Chelo Upna; López García, José Luis Upna; Navarro, Rafael; Pérez Sinusía, Ester Upna (Optical Society of America, 2016)   Artículo / Artikulua  OpenAccess
    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 

    Ferreira González, Chelo Upna; López García, José Luis Upna; Navarro, Rafael; Pérez Sinusía, Ester Upna (Optical Society of America, 2016)   Artículo / Artikulua  OpenAccess
    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 

    Moreta, M. Jesús; Bujanda Cirauqui, Blanca Upna; Jorge Ulecia, Juan Carlos Upna (Elsevier, 2016)   Artículo / Artikulua  OpenAccess
    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 

    Domínguez Baguena, Víctor Upna; Turc, Catalin (Springer, 2016)   Capítulo de libro / Liburuen kapitulua  OpenAccess
    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 ...
  • Scalability approaches for causal multicast: a survey 

    Juan Marín, Rubén de; Decker, Hendrik; Armendáriz Íñigo, José Enrique Upna; Bernabéu Aubán, José M.; Muñoz Escoí, Francesc D. (Springer, 2016)   Artículo / Artikulua  OpenAccess
    Many distributed services need to be scalable: internet search, electronic commerce, e-government... In order to achieve scalability those applications rely on replicated components. Because of the dynamics of growth and ...
  • A fully discrete Calderón calculus for the two-dimensional elastic wave equation 

    Domínguez Baguena, Víctor Upna; Sánchez Vizuet, Tonatiuh; Sayas, Francisco Javier (Elsevier, 2015)   Artículo / Artikulua  OpenAccess
    In this paper we present a full discretization of the layer potentials and boundary integral operators for the elastic wave equation on a parametrizable smooth closed curve in the plane. The method can be understood as a ...
  • Improved accuracy for time-splitting methods for the numerical solution of parabolic equations 

    Arrarás Ventura, Andrés Upna; Portero Egea, Laura Upna (Elsevier, 2015)   Artículo / Artikulua  OpenAccess
    In this work, we study time-splitting strategies for the numerical approximation of evolutionary reaction–diffusion problems. In particular, we formulate a family of domain decomposition splitting methods that overcomes ...
  • Eventual consistency: origin and support 

    Muñoz Escoí, Francesc D.; García Escrivá, José Ramón; Sendra Roig, Juan Salvador; Bernabéu Aubán, José M.; González de Mendívil Moreno, José Ramón Upna (Slovak Academy of Sciences, Institute of Informatics, 2018)   Artículo / Artikulua  OpenAccess
    Eventual consistency is demanded nowadays in geo-replicated services that need to be highly scalable and available. According to the CAP constraints, when network partitions may arise, a distributed service should choose ...
  • Order barrier for low-storage DIRK methods with positive weights 

    Higueras Sanz, Inmaculada Upna; Roldán Marrodán, Teodoro Upna (Springer, 2018)   Artículo / Artikulua  OpenAccess
    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 ...
  • An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems 

    Clavero, C.; Jorge Ulecia, Juan Carlos Upna (Elsevier, 2018)   Artículo / Artikulua
    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 ...
  • Educational games to enhance museum visits for schools 

    Bossavit, Benoît Upna; Pina Calafi, Alfredo Upna; Sánchez Gil, Isabel Upna; Urtasun, Aitziber (National Taiwan Normal University, 2018)   Artículo / Artikulua  OpenAccess
    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, ...
  • A note on the asymptotic expansion of the Lerch’s transcendent 

    Cai, Xing Shi; López García, José Luis Upna (Taylor & Francis, 2018)   Artículo / Artikulua  OpenAccess
    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 ...

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