Results 1 to 10 of about 19,451 (267)
Rate of interpolation of analytic functions with regularly decreasing coefficients by simple partial fractions [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 We consider the problems of multiple interpolation of analytic functions $f(z)=f_0+f_1z+\dots$ in the unit disk with node $z=0$ by means of simple partial fractions (logarithmic derivatives of algebraic polynomials) with free poles and with all poles on ...
Komarov, Mikhail Anatol'evich
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A Novel Method of Offset Approximation along the Normal Direction with High Precision
Mathematical and Computational Applications, 2017 A new algorithm is proposed for polynomial or rational approximation of the planar offset curve. The best rational Chebyshev approximation could be regarded as a kind of geometric approximation along the fixed direction.
Hongyan Zhao, Lian Zhou
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Rational Approximation Method for Stiff Initial Value Problems
Mathematics, 2021 While purely numerical methods for solving ordinary differential equations (ODE), e.g., Runge–Kutta methods, are easy to implement, solvers that utilize analytical derivations of the right-hand side of the ODE, such as the Taylor series method ...
Artur Karimov +3 more
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Active and Passive Realization of Fractance Device of Order 1/2
Active and Passive Electronic Components, 2008 Active and passive realization of Fractance device of order 1/2 is presented. The crucial point in the realization of fractance device is finding the rational approximation of its impedance function.
B. T. Krishna, K. V. V. S. Reddy
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Location of approximations of a Markoff theorem
International Journal of Mathematics and Mathematical Sciences, 1990 Relative to the first two theorems of the well known Markoff Chain (J.W.S. Cassels, An introduction to diophantine approximation approximations are well located.
K. C. Prasad, M. Lari, P. Singh
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Generalized Hypergeometric Function 3F2 Ratios and Branched Continued Fraction Expansions
Axioms, 2021 The paper is related to the classical problem of the rational approximation of analytic functions of one or several variables, particulary the issues that arise in the construction and studying of continued fraction expansions and their multidimensional ...
Tamara Antonova +2 more
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Algebraic Solution of Tropical Best Approximation Problems
Mathematics, 2023 We introduce new discrete best approximation problems, formulated and solved in the framework of tropical algebra, which deals with semirings and semifields with idempotent addition.
Nikolai Krivulin
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Frontiers in Applied Mathematics and Statistics, 2019 Rational filter functions can be used to improve convergence of contour-based eigensolvers, a popular family of algorithms for the solution of the interior eigenvalue problem. We present a framework for the optimization of rational filters based on a non-
Jan Winkelmann, Edoardo Di Napoli
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New Lower Bound for the Generalized Elliptic Integral of the First Kind
Mathematics, 2022 In this paper, we obtain a new simple rational approximation for Ka(r): the inequality 2Ka(r)/π>g2r′/g1r′ holds for all r∈(0,1), where Ka(r) is the generalized elliptic integral of the first kind, r′=1−r2, g1r′ and g2r′ are specific primary and quadratic
Ling Zhu
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IEEE Access, 2020 As the evolution of traditional electroencephalogram (EEG) monitoring unit for epilepsy diagnosis, wearable ambulatory EEG (WAEEG) system transmits EEG data wirelessly, and can be made miniaturized, discrete and social acceptable.
Wenshan Zhao +4 more
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