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Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites
(Hindawi Publishing Corporation, 2009)
Artículo / Artikulua,
Frozen orbits of the Hill problem are determined in the double-averaged problem, where short and long-period terms are removed by means of Lie transforms. Due to the perturbation method we use, the initial conditions ...
Formulas for the amplitude of the van der Pol limit cycle through the homotopy analysis method
(Hindawi / Wiley, 2009)
info:eu-repo/semantics/article,
The limit cycle of the van der Pol oscillator, x¨+ε(x2−1)x˙+x=0, is studied in the plane (x,x˙) by applying the homotopy analysis method. A recursive set of formulas that approximate the amplitude and form of this limit ...
A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media
(EDP Sciences, 2006)
info:eu-repo/semantics/article,
This paper proposes and analyzes a BEM-FEM scheme to approximate a time-harmonic
diffusion problem in the plane with non-constant coefficients in a bounded area. The model is set as
a Helmholtz transmission problem with ...
Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials
(Cambridge University Press, 2004)
info:eu-repo/semantics/article,
Convergent expansions are derived for three types of orthogonal polynomials:
Charlier, Laguerre and Jacobi. The expansions have asymptotic properties for large
values of the degree. The expansions are given in terms of ...