• openAccess   Splitting and composition methods in the numerical integration of differential equations 

      Blanes, Sergio; Murua, Ander; Casas, Fernando Sociedad Española de Matemática Aplicada (2008)
      We provide a comprehensive survey of splitting and composition methods for the numerical integration of ordinary differential equations (ODEs). Splitting methods constitute an appropriate choice when the vector field ...
    • openAccess   Singular perturbations of Blaschke products and connectivity of Fatou components 

      Canela, Jordi American Institute of Mathematical Sciences (AIMS) (2017)
      The goal of this paper is to study the family of singular perturbations of Blaschke products given by Ba,λ(z)=z3z−a1−a¯z+λz2. We focus on the study of these rational maps for parameters a in the punctured disk D∗ and |λ| ...
    • openAccess   Highly tempering infinite matrices 

      Bernal González, Luis; Conejero, J. Alberto; murillo arcila, marina; Seoane Sepúlveda, Juan Springer Milan (2017-02)
      In this short note, it is proved the existence of in nite matrices that not only preserve convergence and limits of sequences but also convert every mem- ber of some dense vector space consisting, except for zero, of ...
    • openAccess   Tutorización virtual sobre matemáticas 

      Gregori, Pablo; Martínez, Vicente UNED (2018)
      Los profesores de matemáticas, frecuentemente, encuentran problemas en la representación de símbolos para comunicarse de manera virtual con sus estudiantes. En este sentido y con el objetivo de facilitar la comunicación ...
    • openAccess   Phase portraits of Abel quadratic differential systems of the second kind 

      Ferragut, Antoni; Valls, Claudia Taylor & Francis (2018)
      We provide normal forms and the global phase portraits on the Poincaré disk of some Abel quadratic differential equations of the second kind. Moreover, we also provide the bifurcation diagrams for these global phase portraits.
    • closedAccess   Fuzzy quasi-pseudometrics on algebraic structures 

      Sánchez, Iván; Sanchis López, Manuel Elsevier (2018-01)
      In this work we state a number of theorems about fuzzy (quasi-)pseudometrizable algebraic structures. Our most useful results are: (1) a fuzzy semitopological group whose topology is induced by a left-invariant fuzzy ...
    • openAccess   Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay 

      Abadias, Luciano; Lizama, Carlos; murillo arcila, marina American Institute of Mathematical Sciences (AIMS) (2018-01)
      We characterize the well-posedness of a third order in time equation with infinite delay in Holder spaces, solely in terms of spectral properties concerning the data of the problem. Our analysis includes the case of the ...
    • closedAccess   Complete invariant fuzzy metrics on groups 

      Sánchez, Iván; Sanchis López, Manuel Elsevier (2018-01-01)
      We study some questions related to complete fuzzy metric topological groups (in the sense of Kramosil and Michael). Invariant fuzzy metrics are characterized and we prove that if (G, M, ∗) is a fuzzy metric group such ...
    • openAccess   Sensitive dependence for nonautonomous discrete dynamical systems 

      Miralles Montolío, Alejandro; murillo arcila, marina; Sanchis López, Manuel Elsevier (2018-03)
      Given a nonautonomous discrete dynamical system (NDS) we show that transitivity and density of periodic points do not imply sensitivity in general, i.e., in the definition of Devaney chaos there are no redundant conditions ...
    • openAccess   A general formula for the Magnus expansion in terms of iterated integrals of right-nested commutators 

      Arnal, A.; Casas, Fernando; Chiralt, Cristina IOP (2018-03)
      We present a general expression for any term of the Magnus series as an iterated integral of a linear combination of independent right-nested commutators with given coefficients. The relation with the Malvenuto–Reutenauer ...
    • openAccess   Pointwise convergence topology and function spaces in fuzzy analysis 

      Jardon, Daniel R.; Sanchis López, Manuel University of Sistan and Baluchestan (2018-03)
      We study the space of all continuous fuzzy-valued functions from a space $X$ into the space of fuzzy numbers $(\mathbb{E}\sp{1},d\sb{\infty})$ endowed with the pointwise convergence topology. Our results generalize the ...
    • openAccess   Convergence regions for the Chebyshev–Halley family 

      Campos, Beatriz; Canela, Jordi; Vindel, Pura Elsevier (2018-03)
      In this paper we study the dynamical behavior of the Chebyshev–Halley methods on the family of degree n polynomials . We prove that, despite increasing the degree, it is still possible to draw the parameter space by using ...
    • openAccess   The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin–Bona–Mahony–Burgers equation in arbitrary domains 

      Hajiketabi, Mohammad; Abbasbandy, Saeid; Casas, Fernando Elsevier (2018-03-15)
      The aim of this paper is to introduce a new numerical method for solving the nonlinear generalized Benjamin–Bona–Mahony–Burgers (GBBMB) equation. This method is combination of group preserving scheme (GPS) with radial basis ...
    • openAccess   Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type 

      Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild Oxford University Press (2018-04)
      The main objective of this work is to provide a stability and error analysis of high-order commutator-free quasi-Magnus (CFQM) exponential integrators. These time integration methods for nonautonomous linear evolution ...
    • openAccess   New binary and ternary LCD codes 

      Galindo, Carlos; Geil, Olav; Hernando, Fernando; Ruano, Diego IEEE (2018-05-09)
      LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field ...
    • openAccess   Completeness, metrizability and compactness in spaces of fuzzy-number-valued functions 

      Font, Juan J.; Sanchis, Delia; Sanchis López, Manuel Elsevier (2018-05-15)
      Fuzzy-number-valued functions, that is, functions defined on a topological space taking values in the space of fuzzy numbers, play a central role in the development of Fuzzy Analysis. In this paper we study completeness, ...
    • openAccess   Unsupervised classification of children’s bodies using currents 

      Barahona, S.; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria; Simó, Amelia Springer Verlag (2018-06)
      Object classification according to their shape and size is of key importance in many scientific fields. This work focuses on the case where the size and shape of an object is characterized by a current. A current is a ...
    • closedAccess   A numerical technique for applying time splitting methods in shallow water equations 

      Martínez, Vicente (2018-06-30)
      In this paper we analyze the use of time splitting techniques for solving shallow water equations. We discuss some properties that these schemes should satisfy so that interactions between the source term and the shock ...
    • openAccess   Quasi-cyclic constructions of quantum codes 

      Galindo, Carlos; Hernando, Fernando; Matsumoto, Ryutaroh Elsevier (2018-07)
      We give sufficient conditions for self-orthogonality with respect to symplec- tic, Euclidean and Hermitian inner products of a wide family of quasi-cyclic codes of index two. We provide lower bounds for the symplectic ...
    • openAccess   A dichotomy property for locally compact groups 

      Ferrer González, María Vicenta; Hernández, Salvador; Tárrega Ruiz, Luis Elsevier (2018-08)
      We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of l1. For that purpose, we transfer to general locally compact groups the notion of interpolation (Io) ...