Padé approximants and the modal connection: Towards increased robustness for fast parametric sweeps
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DOI: 10.1002/nme.5603
Abstract: Summary In order to increase the robustness of a Pade-based approximation of parametric solutions to finite element problems, an a priori estimate of the poles is proposed. The resulting original approach is shown to allow… read more here.
Keywords: connection; approximants modal; connection towards; pad approximants ... See more keywords
Remainder Padé Approximants for the Hurwitz Zeta Function
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DOI: 10.1007/s00025-019-0976-0
Abstract: Following our earlier research, we use the method introduced by the author in Prévost (J Comput Appl Math 67(2):219–235, 1996) named Remainder Padé Approximant in Prévost (Constr Approx 25(1):109–123, 2007), to construct approximations of the Hurwitz zeta… read more here.
Keywords: zeta function; hurwitz zeta; approximants hurwitz; remainder pad ... See more keywords
Remainder Padé approximants for hypergeometric series
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DOI: 10.1080/10652469.2019.1624542
Abstract: ABSTRACT Remainder Padé Approximation (RPA) consists in adding to the n-th partial sum of a series a suitable Padé approximant of the asymptotic expansion in the variable 1/n of the remainder term. In a previous… read more here.
Keywords: remainder pad; pad approximants; series; hypergeometric series ... See more keywords
On Multipoint Padé Approximants whose Poles Accumulate on Contours that Separate the Plane
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DOI: 10.1134/s0001434621110158
Abstract: In this note we consider asymptotics of the multipoint Padé approximants to Cauchy integrals of analytic non-vanishing densities defined on a Jordan arc connecting −1 and 1. We allow for the situation where the (symmetric)… read more here.
Keywords: multipoint pad; separate plane; pad approximants; approximants whose ... See more keywords
Padé approximants for inverse trigonometric functions and their applications
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DOI: 10.1186/s13660-017-1310-6
Abstract: The Padé approximation is a useful method for creating new inequalities and improving certain inequalities. In this paper we use the Padé approximant to give the refinements of some remarkable inequalities involving inverse trigonometric functions,… read more here.
Keywords: inverse trigonometric; applications pad; functions applications; trigonometric functions ... See more keywords