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Polinômios Multiortogonais
(Universidade Estadual Paulista (Unesp), 2021-07-06)
O objetivo principal desta dissertação é estudar a existência dos Polinômios Multiortogonais do Tipo II e também a equivalência das relações de ortogonalidade dos Polinômios Multiortogonais do Tipo II com as Aproximações ...
A single parameter Hermite-Pade series representation for Apery's constant
(BULGARIAN ACAD SCIENCE, 2020)
A single parameter Hermite-Pade series representation for Apery's constant
(The Publishing House of Bulgarian Academy of Sciences, 2020)
Accurate calculation of the solutions to the Thomas-Fermi equations
(Elsevier, 2014-02-24)
We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé-Hankel method, numerical integration, power series with Padé and Hermite-Padé approximants ...
High order analysis of the limit cycle of the van der Pol oscillator
(American Institute of Physics, 2018-01)
We have applied the Lindstedt-Poincaré method to study the limit cycle of the van der Pol oscillator, obtaining the numerical coefficients of the series for the period and for the amplitude to order 859. Hermite-Padé ...