Results 61 to 70 of about 2,007 (185)
Procedures for estimating the error in Padé approximation
Kronrod’s procedure is a method for estimating the error in Gaussian quadrature methods. Padé approximants are formal Gaussian quadrature formulas. In a previous paper, Kronrod’s method was used to obtain estimates of the error in Padé approximation ...
Claude Brezinski
core +1 more source
Abstract At elevated electron temperature (Te≥3000°K ${T}_{e}\mathit{\ge }3000\mathit{{}^{\circ}}\mathrm{K}$) inside Sub‐Auroral Ion Drift, resonant vibrational excitation (RVE) increases the vibrationally excited (v≥8 $v\mathit{\ge }8$) nitric oxide (NO) population in the E‐region, which undergoes overtone vibrational emissions (Δv≥8 ${\Delta }v ...
Andrew W. Yau +2 more
wiley +1 more source
Convergence Rates of Padé and Padé-Type Approximants
A comparison is made between Padé and Padé-type approximants. LetQnbe thenth orthonormal polynomial with respect to a positive measureμwith compact support inC.
Ambroladze, Amiran, Wallin, Hans
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Padé approximant related to inequalities for Gauss lemniscate functions
Based on the Padé approximation method, we present new inequalities for Gauss lemniscate functions. We also solve a conjecture on inequalities for Gauss lemniscate functions proposed by Sun and Chen.
Juan Liu, Chao-Ping Chen
doaj +1 more source
The Duffing oscillator equation is one of important equations that model several nonlinear phenomena in science and engineering. The differential transform method (DTM) is applied to obtain the solutions of homogeneous and non-homogeneous Duffing ...
Noufe H Aljahdaly, Maram A Alharbi
doaj +1 more source
Abstract Ensuring food security goals through the provision of sustainable energy and food without compromising environmental sustainability is the current requirement amid threats from climate change, uncontrolled global population, and scarcity of natural resources.
Muhammad Shahbaz Farooq +9 more
wiley +1 more source
Gröbner Bases and Generalized Padé Approximation
It is shown how to find general multivariate Padé approximation using Gröbner basis technique. This method is more flexible than previous approaches, and several examples are given to illustrate this advantage.
Shuhong Gao, Jeffrey B. Farr
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A New Padé Approach to Modeling Wormholes in Dekel‐Zhao Dark Matter Halos
A matter‐first Padé strategy is introduced to build traversable wormholes from prescribed dark‐matter halos. Rational Padé fits approximately the Dekel–Zhao density and are analytically integrated to obtain a shape function that exactly reproduces the intended matter content, avoiding spurious poles of geometry‐first schemes.
Jonathan Alves Rebouças +4 more
wiley +1 more source
Quasinormal Modes for Coherent Quantum Black Holes
ABSTRACT Coherent quantum black holes are quantum geometries obtained by means of a mean‐field‐like approach to the gravitational interaction. This procedure attenuates the classical spacetime singularities of general relativity by replacing them with integrable singularities in the quantum‐corrected geometry. After discussing some relevant observables
Tommaso Antonelli +3 more
wiley +1 more source
Cubic Hermite–Padé approximation to the exponential function
Cubic Hermite–Padé approximation to the exponential function with coefficient polynomials of degree at most m is considered. Explicit formulas are obtained for the coefficient polynomials. An exact asymptotic expression is obtained for the error function
Zheng, Cheng-de, Wang, Ren-Hong
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