Results 71 to 80 of about 2,007 (185)
Hermite-Padé approximation and simultaneous quadrature formulas [PDF]
, 2016 We study Hermite–Padé approximation of the so-called Nikishin systems of functions. In particular, the set of multi-indices for which normality is known to take place is considerably enlarged as well as the sequences of multi-indices for which ...
Illán González, Jesús Ricardo +2 more
core +1 more source
A Novel Analytical Interpolation Approach for Determining the Locus of a Zoom Lens Optical System
PhotonicsIn an optical system with multiple lens groups and increased zoom magnification levels, achieving a smooth zoom locus is increasingly difficult. Traditional methods for calculating zoom loci often involve complex and time-consuming formulas. Consequently,
Jiwon Lee, Jaemyung Ryu, Hojong Choi
doaj +1 more source
A general approach to the linear stability of viscoelastic shear‐flows
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley +1 more source
Generalized Multivariate Padé Approximants
, 1998 A new definition of multivariate Padé approximation is introduced, which is a natural generalization of the univariate Padé approximation and consists in replacing the exact interpolation problem by a least squares interpolation.
Guillaume, Philippe +2 more
core +1 more source
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 2, February 2026.Abstract Silicate melts play a crucial role in planetary differentiation. The density contrast between silicate melts and the surrounding solid residue exerts a primary control on many magmatic processes. However, direct measurements of the density of silicate melts at high pressure (P) and temperature (T) conditions remain challenging, particularly ...
Man Xu +6 more
wiley +1 more source
Spurious poles in Padé approximation
, 1998 In the theory of Padé approximation locally uniform convergence has been proved only for special classes of functions: for much larger classes convergence in capacity has been shown to hold true.
Stahl, Herbert
core +1 more source
Numerical Solution of Fractional Black-Scholes Equation by Using the Multivariate Padé Approximation
, 2017 In this study, a new application of multivariate Padé approximation method has been used for solving European vanilla call option pricing problem. Padé polynomials have occurred for the fractional Black-Scholes equation, according to the relations of ...
N. Özdemir +3 more
core +1 more source
A New Approach for a Class of the Blasius Problem via a Transformation and Adomian’s Method
Abstract and Applied Analysis, 2013 The main feature of the boundary layer flow problems is the inclusion of the boundary conditions at infinity. Such boundary conditions cause difficulties for any of the series methods when applied to solve such problems.
Abdelhalim Ebaid, Nwaf Al-Armani
doaj +1 more source
Approximations to inverse tangent function
Journal of Inequalities and Applications, 2018 In this paper, we present a sharp Shafer-type inequality for the inverse tangent function. Based on the Padé approximation method, we give approximations to the inverse tangent function. Based on the obtained result, we establish new bounds for arctanx.
Quan-Xi Qiao, Chao-Ping Chen
doaj +1 more source
On tensor decomposition, sparse interpolation and Padé approximation
, 2016 What is the connection of tensor decomposition in multilinear algebra with exponential analysis from signal processing, sparse interpolation from computer algebra, Gaussian quadrature from numerical analysis, and Padé approximation theory?
Lee, Wen-Shin +3 more
core