Examinando por Materia "DERIVADAS (MATEMÁTICAS)"
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Ítem Limits of quotients of bivariate real analytic functions(ELSEVIER, 2013-03) Molina, Sergio; Cadavid Moreno, Carlos Alberto; Vélez Caicedo, Juan Diego; Universidad EAFIT. Escuela de Ciencias y Humanidades. Grupo de Investigación Análisis Funcional y Aplicaciones; Carlos Cadavid M.(ccadavid@eafit.edu.co); Análisis Funcional y AplicacionesNecessary 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 isolated zero at (a, b) -- The given criterion uses a constructive version of Hensel’s Lemma which could be implemented in a computer algebra system in the case where f and g are polynomials with rational coefficients, or more generally, with coefficients in a real finite extension of the rationals -- A high level description of an algorithm for determining the existence of the limit as well as its computation is providedPublicación Order truncated imaginary algebra for computation of multivariable high-order derivatives in finite element analysis(Universidad EAFIT, 2020) Aristizabal Cano, Mauricio; García Ruiz, Manuel Julio; ColcienciasÍtem Relaxed loading conditions for higher order homogenisation approaches(WILEY-VCH Verlag, 2011-12-09) Jänicke, Ralf; Uribe, David; Ruíz, Óscar E.; Steeb, Holger; Universidad EAFIT. Departamento de Ingeniería Mecánica; Laboratorio CAD/CAM/CAEThe present paper deals with the formulation of minimal loading conditions for the application of numerical homogenisation techniques, namely the FE methodology -- Based on the set of volume averaging rules connecting the heterogeneous micro and the homogeneous macro scale, the minimal constraints on the deformation of a micro volume are derived for a classical Cauchy as well as for a micromorphic overall continuum theory -- For both cases, numerical studies are included highlighting the main aspects of the proposed procedurePublicación Solución aproximada de la ecuación KdV por el método de los elementos finitos Taylor - Petrov - Galerkin(Universidad EAFIT, 2014) Buitrago García, Lida; Villegas Gutiérrez, Jairo Alberto