Results 81 to 90 of about 2,007 (185)

Global Identities in the Non-normal Newton-Padé Approximation Table

, 1993
This note is concerned with the Newton-Padé table containing rational interpolants with varying numerator and denominator degrees. In the general case some entries of the table can be equal, combined in so-called singular blocks.
Carstensen, C., Beckermann, B.
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Approximation of the Integrals of the Gaussian Distribution of Asperity Heights in the Greenwood-Tripp Contact Model of Two Rough Surfaces Revisited

Journal of Applied Mathematics, 2013
Some examples of application of Padé approximant techniques to approximate the integrals in question and comparison with previous results, essentially the recent Panayi-Schock and Green-wood results, show the efficiency of this simple natural ...
Radosław Jedynak, Jacek Gilewicz
doaj   +1 more source

Asymptotical stability of Runge–Kutta methods for nonlinear impulsive differential equations

Advances in Difference Equations, 2020
In this paper, asymptotical stability of the exact solutions of nonlinear impulsive ordinary differential equations is studied under Lipschitz conditions.
Gui-Lai Zhang
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Robust Padé approximation via SVD

, 2011
Padé approximation is considered from the point of view of robust methods of numerical linear algebra, in particular the singular value decomposition. This leads to an algorithm for practical computation that bypasses most problems of solution of nearly ...
Guettel, Stefan, Gonnet, Pedro, Trefethen, Lloyd N.   +2 more
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The structure of the singular solution table of the M-Padé approximation problem

, 1990
A general interpolation problem is defined which contains as special cases the M-Padé approximation problem as well as classical interpolation problems, e.g., Newton-Padé approximation.
Beckermann, Bernhard
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Rate of pole detection using Padé approximants to polynomial expansions

Demonstratio Mathematica
Padé approximations constructed from orthogonal and Faber polynomials on some compact set EE serve as tools to detect poles of an approximated function around the set EE.
Wajasat Methawee, Bosuwan Nattapong
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Asymptotical analysis and Padé approximation in problems on diffusion-controlled cracks propagation

Revista de Matemática: Teoría y Aplicaciones, 2012
In this work, we consider the diffusion-controlled axisymmetric fracture in an infinite space, and half-space. An important example of diffusion-controlled fracture growth is given by hydrogen induced cracking.
Alla V. Balueva, Leonid N. Germanovich
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Convergence of the Nested Multivariate Padé Approximants

, 1998
The nested multivariate Padé approximants were recently introduced. In the case of two variablesxandy, they consist in applying the Padé approximation with respect to y to the coefficients of the Padé approximation with respect tox.
Guillaume, Philippe
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Refining trigonometric inequalities by using Padé approximant

Journal of Inequalities and Applications, 2018
A two-point Padé approximant method is presented for refining some remarkable trigonometric inequalities including the Jordan inequality, Kober inequality, Becker–Stark inequality, and Wu–Srivastava inequality. Simple proofs are provided.
Zhen Zhang, Huaqing Shan, Ligeng Chen
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The structure of the minimal Padé approximation table

, 1988
The problem of minimal Padé approximation was conceived by A. Bultheel and M. Van Barel in their study of the Euclidean algorithm in the matrix case.
Bultheel, Adhemar, Xu, Guo-liang
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