Results 11 to 20 of about 19,646 (265)
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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Rational approximation on spheres [PDF]
Israel Journal of Mathematics, 2015 We quantify the density of rational points in the unit sphere $S^n$, proving analogues of the classical theorems on the embedding of $\q^n$ into $\r^n$. Specifically, we prove a Dirichlet theorem stating that every point $α\in S^n$ is sufficiently approximable, the optimality of this approximation via the existence of badly approximable points, and a ...
Kleinbock, Dmitry, Merrill, Keith
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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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Multivariate rational approximation [PDF]
Transactions of the American Mathematical Society, 1986 We estimate the error in approximating a function f f by rational functions of degree
DeVore, Ronald A, Yu, Xiang Ming
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Yantu gongcheng xuebao, 2021 The discrete-time rational approximation function is one of the important methods for establishing dynamic analysis model for foundations. The stability and accuracy of the rational function determine those of dynamic time history analysis.
WANG Zhi-yu 1, TANG Zhen-yun 1, 2, DU Xiu-li 1
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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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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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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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Multivariate Rational Approximation
CoRR, 2019 We present two approaches for computing rational approximations to multivariate functions, motivated by their effectiveness as surrogate models for high-energy physics (HEP) applications. Our first approach builds on the Stieltjes process to efficiently and robustly compute the coefficients of the rational approximation. Our second approach is based on
Anthony P. Austin +5 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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