scholarly journals Incomplete Padé approximation and convergence of row sequences of Hermite–Padé approximants

2013 ◽  
Vol 170 ◽  
pp. 59-77 ◽  
Author(s):  
J. Cacoq ◽  
B. de la Calle Ysern ◽  
G. López Lagomasino
Keyword(s):  
Padé Approximation ◽  
Padé Approximants ◽  
Pade Approximation ◽  
Pade Approximants

scholarly journals Padé Approximants, Their Properties, and Applications to Hydrodynamic Problems

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1869
Author(s):  
Igor Andrianov ◽  
Anatoly Shatrov
Keyword(s):  
Power Series ◽  
Asymptotic Analysis ◽  
Original Problem ◽  
Asymptotic Methods ◽  
Padé Approximation ◽  
Padé Approximants ◽  
Point Of View ◽  
Pade Approximation ◽  
Pade Approximants ◽  
Basic Properties

This paper is devoted to an overview of the basic properties of the Padé transformation and its generalizations. The merits and limitations of the described approaches are discussed. Particular attention is paid to the application of Padé approximants in the mechanics of liquids and gases. One of the disadvantages of asymptotic methods is that the standard ansatz in the form of a power series in some parameter usually does not reflect the symmetry of the original problem. The search for asymptotic ansatzes that adequately take into account this symmetry has become one of the most important problems of asymptotic analysis. The most developed technique from this point of view is the Padé approximation.

Padé approximation and gaussian quadrature

1974 ◽  
Vol 11 (1) ◽  
pp. 63-69 ◽  
Author(s):  
G.D. Allen ◽  
C.K. Chui ◽  
W.R. Madych ◽  
F.J. Narcowich ◽  
P.W. Smith
Keyword(s):  
Power Series ◽  
Formal Power Series ◽  
Padé Approximation ◽  
Gaussian Quadrature ◽  
Padé Approximants ◽  
Pade Approximation ◽  
Quadrature Formulae ◽  
Pade Approximants ◽  
Formal Power

For certain types of formal power series, including the series of Stieltjes, we prove that the [n, n+j], j ≥ −1, Padé approximants coincide with certain gaussian quadrature formulae and hence, convergence of these approximants follows immediately.

Modeling of Rails Expressed using Pade Approximation Considering Frequency Dependent Effect

2017 ◽  
Vol 137 (2) ◽  
pp. 147-153
Author(s):  
Akinori Hori ◽  
Hiroki Tanaka ◽  
Yuichiro Hayakawa ◽  
Hiroshi Shida ◽  
Keiji Kawahara ◽  
...  
Keyword(s):  
Padé Approximation ◽  
Pade Approximation ◽  
Frequency Dependent ◽  
Dependent Effect
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