Results 21 to 30 of about 115,454 (246)
Some properties of dual quadrature formulae [PDF]
, 1987 We investigate dual formulae Q̄nƒ which result from a variation of an interpolatory technique used by Markoff to generate Gaussian quadrature formulae Qnƒ.
Engels, Hermann, Merschen, Bernd Anton
core +1 more source
Error estimates of anti-Gaussian quadrature formulae [PDF]
, 2012 Anti-Gauss quadrature formulae associated with four classical Chebyshev weight functions are considered. Complex-variable methods are used to obtain expansions of the error in anti-Gaussian quadrature formulae over the interval [−1,1].
Spalević, Miodrag +2 more
core +1 more source
On the estimate of the error of quadrature formulae [PDF]
, 1966 summary:An explicit expression for the exact estimate of the error $E(f)=\int^1_0 f(x)dx-\sum^m_{k=1} c_kf(x_k)$ of an arbitrary quadrature formula is given in terms of the coefficients $c_k$ and the nodes $x_k$
Zlámal, Miloš
core +1 more source
On Gauss’ and Tchebycheff’s quadrature formulas [PDF]
Bulletin of the American Mathematical Society, 1944 Not ...
openaire +3 more sources
New interpolatory quadrature formulae with Chebyshev abscissae [PDF]
, 1998 We study interpolatory quadrature formulae, relative to the Legendre weight function on [−1,1], having as nodes the zeros of any one of the four Chebyshev polynomials of degree n plus one of the points 1 or −1.
Notaris, SE, Notaris, Sotirios E.
core +2 more sources
Error Bounds for Optimal Definite Quadrature Formulae [PDF]
, 1995 Definite quadrature formulae are used to obtain inclusions for the integral of a function f for which f(r) has no sign change. In this paper, error bounds for optimal definite quadrature formulae for the classes Cr[0, 1] (r ≥ 1) are considered.
Nikolov, G., Kohler, P.
core +1 more source
Simple algorithms for calculation of the axial‐symmetric heat transport problem in a cylinder
Mathematical Modelling and Analysis, 2001 The approximation of axial‐symmetric heat transport problem in a cylinder is based on the finite volume method. In the classical formulation of the finite volume method it is assumed that the flux terms in the control volume are approximated with the ...
H. Kalis, A. Lasis
doaj +1 more source
Advanced Science, EarlyView.The concept of high‐dimensional EM modulation using the STMA for physical layer secure communication is illustrated in figure. The STMA consists of a series of programmable unit cells, with 1‐bit reconfigurable phase states (0/π). The STMA is excited by a monochromatic continuous wave (CW) at frequency fc and controlled by a field‐programmable gate ...
Xinyu Fang +6 more
wiley +1 more source
Universal Journal of Mathematics and Applications, 2019 The main purpose of this paper is to show some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level $m$. Our approach is based on the use of Fourier expansions for the periodic generalized Bernoulli functions of ...
Yamilet Quintana, Héctor Torres-guzmán
doaj +1 more source
A Perturbed Milne’s Quadrature Rule for n-Times Differentiable Functions with Lp-Error Estimates
Axioms, 2023 In this work, a perturbed Milne’s quadrature rule for n-times differentiable functions with Lp-error estimates is derived. One of the most important advantages of our result is that it is verified for p-variation and Lipschitz functions.
Ayman Hazaymeh +4 more
doaj +1 more source