Results 21 to 30 of about 1,088,621 (289)
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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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 approximations to the dilogarithm [PDF]
Transactions of the American Mathematical Society, 1993 The irrationality proof of the values of the dilogarithmic function L 2
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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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Addendum to “Rational Approximation”
Advances in Mathematics, 1977 Let \(f(z)=\sum_{k=0}^{\infty}a_kz^k,a_0> 0,a_k\geq 0(k\geq 1)\) be an entire function such that \(l< \lim\sup_{r\to\infty}\frac{\log\log M(r)}{\log\log r}=\rho+1< \infty\) and \(\lim\sup_{r\to\infty}(\inf)\quad(\log r)^{-\rho-1}\log M(r)=\alpha(\beta)\) where \(M(r)=\max_{\|z\|=r}\|f(z)\|\). The authors in Adv. Math.
Erdös, Paul, Reddy, A.R
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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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A Note on Rational Approximation [PDF]
Mathematics of Computation, 1960 p(x) = qo(x) * Tn +1 (x) + ro(x) YTn~l(x =-q1(x)W ro(x) + r1(x) ro(x) = q2-(X) * ri(x) + r2(x) r1() = q3(x) *r2(x) + r3(X), etc., where the (degrees of thie ri formr a strictly decreasing sequence. From these equations we may write r,(Q) = i(x) -.p(.x) + bi(x) . T.+1(x), where ai and bi are defined recursively by (a,=ai-. -qiai-?, a-1=O, a2= 1 lbi = bi-
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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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