• Wavelet-Petrov-Galerkin Method for the Numerical Solution of the KdV Equation 

  Villegas G., Jairo; Castaño B., Jorge; Duarte V., Julio; Fierro Y., Esper (Hikari; Grupo de Investigación Análisis Funcional y Aplicaciones; Escuela de Ciencias y Humanidades, 2012)

  The development of numerical techniques for obtaining approximate solutions of partial differential equations has very much increased in the last decades. Among these techniques are the finite element methods and finite ...

• A q-exponential statistical Banach manifold 

  Quiceno Echavarría, Héctor Román; Loaiza Ossa, Gabriel Ignacio (ELSEVIER; Grupo de Investigación Análisis Funcional y Aplicaciones; Escuela de Ciencias y Humanidades, 2013-02)

  Letµbe a given probability measure andMµ the set ofµ-equivalent strictly positive probability densities -- In this paper we construct a Banach manifold on Mµ, modeled on the space L∞(p · µ) where p is a reference density, ...

• A Riemannian geometry in the q-Exponential Banach manifold induced by q-Divergences 

  Loaiza Ossa, Gabriel Ignacio; Quiceno Echavarría, Héctor Román (Springer Berlin Heidelberg; Grupo de Investigación Análisis Funcional y Aplicaciones; Escuela de Ciencias y Humanidades, 2013)

  For the family of non-parametric q-exponential statistical models, in a former paper, written by the same authors, a differentiable Banach manifold modelled on Lebesgue spaces of real random variables has been built -- In ...

• Limits of quotients of bivariate real analytic functions 

  Molina, Sergio; Cadavid Moreno, Carlos Alberto; Vélez Caicedo, Juan Diego (ELSEVIER; Grupo de Investigación Análisis Funcional y Aplicaciones; Escuela de Ciencias y Humanidades, 2013-03)

  Necessary and sufficient conditions for the existence of limits of the form lim(x,y)→(a,b) f (x, y)/g(x, y) are given, under the hypothesis that f and g are real analytic functions near the point (a, b), and g has an ...

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