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Singular reduction of resonant Hamiltonians
(IOP PublishingLondon Mathematical Society, 2018)
Artículo / Artikulua,
We investigate the dynamics of resonant Hamiltonians with n degrees of freedom to which we attach a small perturbation. Our study is based on the geometric interpretation of singular reduction theory. The flow of the ...
Innovación metodológica para desarrollar y evaluar competencias transversales clave en educación secundaria. Aplicación en el ámbito de Tecnología
(2017)
info:eu-repo/semantics/doctoralThesis,
Al menos desde que en 2006 se publicara la recomendación del Parlamento Europeo y del Consejo sobre las competencias clave para el aprendizaje, entendemos que el paradigma de los aprendizajes y las enseñanzas por competencias ...
An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems
(Elsevier, 2018)
info:eu-repo/semantics/article,
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 ...
Zernike-like systems in polygons and polygonal facets
(Optical Society of America, 2015)
info:eu-repo/semantics/article,
Zernike polynomials are commonly used to represent the wavefront phase on circular
optical apertures, since they form a complete and orthonormal basis on the unit disk. In
[Diaz et all, 2014] we introduced a new Zernike ...
On a modifcation of Olver's method: a special case
(Springer US, 2016)
info:eu-repo/semantics/article,
We consider the asymptotic method designed by Olver (Asymptotics and
special functions. Academic Press, New York, 1974) for linear differential equations of
the second order containing a large (asymptotic) parameter : ...
Convergent and asymptotic expansions of the Pearcey integral
(Elsevier, 2015)
info:eu-repo/semantics/article,
We consider the Pearcey integral P(x; y) for large values of |x|, x, y ∈ C. We can find
in the literature several convergent or asymptotic expansions in terms of elementary and
special functions, with different levels ...
New asymptotic expansion and error bound for Stirling formula of reciprocal Gamma function
(Ele-Math, 2018)
Artículo / Artikulua,
Studying the problem about if certain probability measures are determinate by its moments
[4, 8, 10] is useful to know the asymptotic behavior of the probability densities for large
values of argument. This requires, ...
The use of two-point Taylor expansions in singular one-dimensional boundary value problems I
(Elsevier, 2018)
info:eu-repo/semantics/article,
We consider the second-order linear differential equation (x + 1)y′′ + f(x)y′ + g(x)y = h(x) in
the interval (−1, 1) with initial conditions or boundary conditions (Dirichlet, Neumann or mixed
Dirichlet-Neumann). The ...
Asymptotic and convergent expansions for solutions of third-order linear differential equations with a large parameter
(Shanghai Normal UniversityWilmington Scientific Publisher, 2018)
info:eu-repo/semantics/article,
In previous papers [6–8,10], we derived convergent and asymptotic
expansions of solutions of second order linear differential equations with a
large parameter. In those papers we generalized and developed special cases
not ...
Orthogonal basis with a conicoid first mode for shape specification of optical surfaces
(Optical Society of America, 2016)
info:eu-repo/semantics/article,
A rigorous and powerful theoretical framework is proposed to obtain systems of orthogonal functions (or shape modes) to represent optical surfaces. The method is general so it can be applied to different initial shapes and ...