Macromodeling High-Speed Circuit Data Using Rational Krylov Fitting Method
Energies, 2021 This paper presents the modeling of high speed distributed networks characterized by S-parameters frequency data using the rational Krylov fitting (RKFIT) algorithm. Numerical examples illustrate the effectiveness of the method to compute stable rational
Mohamed Sahouli, Anestis Dounavis
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Parabolic convergence regions of branched continued fractions of the special form
Karpatsʹkì Matematičnì Publìkacìï, 2021 Using the criterion of convergence of branched continued fractions of the special form with positive elements, effective sufficient criteria of convergence for these fractions are established.
D.I. Bodnar, I.B. Bilanyk
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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 Rational Approximation for the Complete Elliptic Integral of the First Kind
Mathematics, 2020 Let K ( r ) be the complete elliptic integral of the first kind. We present an accurate rational lower approximation for K ( r ) . More precisely, we establish the inequality 2 π K ( r ) > 5 ( r ′ ) 2 + 126 r ′ + 61 61 (
Zhen-Hang Yang +2 more
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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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Equidistribution of rational functions having a superattracting periodic point towards the activity current and the bifurcation current [PDF]
, 2003 We establish an approximation of the activity current $T_c$ in the parameter space of a holomorphic family $f$ of rational functions having a marked critical point $c$ by parameters for which $c$ is periodic under $f$, i.e., is a superattracting periodic
Okuyama, Yûsuke
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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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Rational approximation and arithmetic progressions [PDF]
, 2014 A reasonably complete theory of the approximation of an irrational by rational fractions whose numerators and denominators lie in prescribed arithmetic progressions is developed in this paper.
Alessandri P. +19 more
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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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