Results 91 to 100 of about 2,007 (185)
Approximations for Fractional Derivatives and Fractional Integrals Using Padé Approximation
Journal of Applied MathematicsThis paper tackles the persistent challenge of slow convergence and numerical instability in the fractional calculus when applied to power series–representable functions fx=∑i=0∞cixi, limitations that compromise accuracy in scientific applications.
Ahmed M. Youssef +3 more
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Some recurrence formulas for the Hermite polynomials and their squares
Open Mathematics, 2018 In this paper, by making use of the generating function methods and Padé approximation techniques, we establish some new recurrence formulas for the Hermite polynomials and their squares.
He Yuan, Yang Fengzao
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Alexandria Engineering Journal, 2016 The present study further examines two recent semi-analytic methods, a reduced order of nonlinear differential transformation method (also called RDTM) and differential transformation method along with Pade approximation to discuss Jaulent–Miodek and ...
Hamed Faghanpour Ganji +3 more
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Simultaneous partial Padé approximants
, 1988 In this paper the concept of partial Padé approximation, introduced by Claude Brezinski, is generalised to the case of simultaneous rational approximation with common denominator.
De Bruin, Marcel G.
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An algebraic analysis using Matrix Padé Approximation to improve the choice of certain parameter in Scalar Component Models [PDF]
This paper presents an algebraic analysis using Matrix Padé Aproximation to improve the identification stage of the proposal in [6] on Scalar Component Models, specifically as it refers to the choice of a parameter they denote h. The original methodology
Concepción González-Concepción +2 more
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Matrix methods for Padé approximation : numerical calculation of poles, zeros and residues
, 2018 A representation of the Padé approximation of the Z-transform of a signal as a resolvent of a tridiagonal matrix Jn is given. Several formulas for the poles, zeros and residues of the Padé approximation in terms of the matrix Jn are proposed.
Wojtylak, Michał +3 more
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A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation
Abstract and Applied Analysis, 2014 Very recently, the convenient way to calculate the Adomian series was suggested. This paper combines this technique and the Pade approximation to develop some new iteration schemes.
Na Wei +3 more
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A Gröbner basis technique for Padé approximation
, 1992 We consider solving for a and b the congruence a≡bh mod I, where a, b and h are (multivariable) polynomials and I is a polynomial ideal. This is a generalization of the well-known problem of Padé approximation of which decoding Hensel codes is a special ...
Fitzpatrick, Patrick, Flynn, John
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Duality in Padé-type approximation
, 1990 Padé and Padé-type approximants are usually defined by replacing the function (1 − xt)−1 by its Hermite (that is confluent) interpolation polynomial and then applying the functional c defined by c(xi) = ci where the ci's are the coefficients of the ...
Brezinski, Claude
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Gröbner bases and generalized Padé approximation
, 2008 . 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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