• 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.
    • 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   Preface for the special issue “Geometric numerical integration, twenty-five years later” 

      Blanes, Sergio; Casas, Fernando Taylor and Francis (2023)
    • openAccess   QOptCraft: A Python package for the design and study of linear optical quantum systems 

      Gomez-Aguado, Daniel; Gimeno, Vicent; Moyano-Fernández, Julio José; Garcia-Escartin, Juan Carlos Elsevier (2022-08-29)
      The manipulation of the quantum states of light in linear optical systems has multiple applications in quantum optics and quantum computation. The package QOptCraft gives a collection of methods to solve some of the most ...
    • 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   Reliability Validation of a Low-Cost Particulate Matter IoT Sensor in Indoor and Outdoor Environments Using a Reference Sampler 

      Trilles, Sergio; Vicente, Ana Belen; Juan, Pablo; Ramos, Jose Francisco; Meseguer Costa, Sergio; Serra, Laura MDPI (2019)
      A suitable and quick determination of air quality allows the population to be alerted with respect to high concentrations of pollutants. Recent advances in computer science have led to the development of a high number of ...
    • openAccess   Runge–Kutta–Nyström symplectic splitting methods of order 8 

      Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro Elsevier (2022-12)
      Different families of Runge–Kutta–Nyström (RKN) symplectic splitting methods of order 8 are presented for second-order systems of ordinary differential equations and are tested on numerical examples. They show a better ...
    • openAccess   [S]-linear and convex structures in function families 

      Bernal González, Luis; Conejero, J. Alberto; murillo arcila, marina; Seoane-Sepúlveda, J. B. Elsevier (2019)
      In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduced and developed in a general abstract setting. This new notion is, then, applied to specific situations, as for instance, ...
    • openAccess   Sampling Almost Periodic and Related Functions 

      Ferri, Stefano; Galindo, Jorge; Gómez, Camilo Springer (2020-10)
      We consider certain finite sets of circle-valued functions defined on intervals of real numbers and estimate how large the intervals must be for the values of these functions to be uniformly distributed in an approximate ...
    • 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   Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces 

      Galindo, Carlos; Monserrat, Francisco; Moreno Ávila, Carlos Jesús Taylor and Francis (2023-02-01)
      We consider flags E• = {X ⊃ E ⊃ {q}}, where E is an exceptional divisor defining a non-positive at infinity divisorial valuation νE of a Hirzebruch surface Fδ , q a point in E and X the surface given by νE , and determine ...
    • openAccess   Sex differences in gray matter volume: how many and how large are they really? 

      Sanchis-Segura, Carla; Ibáñez Gual, Maria Victoria; Adrián-Ventura, Jesús; Aguirre, Naiara; Cruz Gómez, Álvaro Javier; Avila, Cesar; Forn, Cristina BMC (2019-07-01)
      Background: Studies assessing volumetric sex differences have provided contradictory results. Total intracranial volume (TIV) is a major confounding factor when estimating local volumes of interest (VOIs). We investigated ...
    • 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   Smooth and Polyhedral Norms via Fundamental Biorthogonal Systems 

      Dantas, Sheldon; Hájek, Petr; Russo, Tommaso Oxford University Press (2022-08-04)
      Let X be a Banach space with a fundamental biorthogonal system, and let Y be the dense subspace spanned by the vectors of the system. We prove that Y admits a C∞-smooth norm that locally depends on finitely many coordinates ...
    • closedAccess   Spatio-temporal modeling of traffic accidents incidence on urban road networks based on an explicit network triangulation 

      Chaudhuri, Somnath; Juan, Pablo; Mateu, Jorge Taylor and Francis Group (2022-07-29)
      Traffic deaths and injuries are one of the major global public health concerns. The present study considers accident records in an urban environment to explore and analyze spatial and temporal in the incidence of road ...
    • 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   Splitting and composition methods with embedded error estimators 

      Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild Elsevier (2019-12)
      We propose new local error estimators for splitting and composition methods. They are based on the construction of lower order schemes obtained at each step as a linear combination of the intermediate stages of the integrator, ...
    • openAccess   Stabilizer quantum codes defined by trace-depending polynomials 

      Galindo, Carlos; Hernando, Fernando; Martín-Cruz, Helena; Ruano, Diego Elsevier (2022-12-29)
      Quantum error-correcting codes with good parameters can be constructed by evaluating polynomials at the roots of the polynomial trace [18]. In this paper, we propose to evaluate polynomials at the roots of trace-depending ...
    • openAccess   Symplectic propagators for the Kepler problem with time-dependent mass 

      Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita Springer (2019-06)
      New numerical integrators specifically designed for solving the two-body gravitational problem with a time-varying mass are presented. They can be seen as a generalization of commutator-free quasi-Magnus exponential ...
    • openAccess   The Bishop-Phelps-Bollobás properties in complex Hilbert space 

      Choi, Yun Sung; Dantas, Sheldon; Jung, Mingu Wiley (2021-12-02)
      In this paper, we consider theBishop–Phelps–Bollobás point propertyfor variousclasses of operators on complex Hilbert spaces, which is a stronger property thanthe Bishop–Phelps–Bollobás property. We also deal with analogous ...