Results 31 to 40 of about 4,075 (228)
Journal of Inequalities and Applications, 2000 We consider quadrature formulae for Cauchy principal value integrals The quadrature formulae considered here are so-called modified formulae, which are obtained by first subtracting the singularity, and then applying some standard quadrature formula ...
Diethelm Kai, Köhler Peter
doaj
Energy Science &Engineering, EarlyView.Mine‐water immersion tests reveal pronounced coal weakening (vs. minor concrete degradation), identifying coal pillars as the stability‐limiting component in composite dams. A coupled FEINN framework quantifies extreme‐pressure stability and ranks multi‐parameter designs via a normalized multi‐indicator scheme, enabling optimized dam configuration for ...
He Wen +6 more
wiley +1 more source
Euler-Maclaurin type optimal formulas for numerical integration in Sobolev space
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 In the present paper the problem of construction of optimal quadrature formulas in the sense of Sard in the space L2(m)(0,1) is considered. Here the quadrature sum consists of values of the integrand at nodes and values of the first and the third ...
Hayotov, A.R. +3 more
doaj +1 more source
Quadrature formulas for Fourier coefficients
Journal of Computational and Applied Mathematics, 2009 \textit{C. A. Micchelli} and \textit{T. J. Rivlin} [IBM J. Res. Develop. 16, 372--379 (1972; Zbl 0288.65013)] discovered the remarkable fact that the quadrature \[ \int^1_{-1}T_n(t)f(t)\frac{dt}{\sqrt{1-t^2}}\approx \frac{\pi}{n2^n}f'[\xi_1, \dots,\xi_n] \] is exact for all algebraic polynomials of degree \(\leq 3n-1\), where \[ T_n(t):=\cos(n\text{arc}
Bojanov, Borislav, Petrova, Guergana
openaire +2 more sources
Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid
International Journal for Numerical Methods in Fluids, EarlyView.This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley +1 more source
MathematicsGaussian quadrature rules are commonly used to approximate integrals with respect to a non-negative measure dσ^. It is important to be able to estimate the quadrature error in the Gaussian rule used.
Dušan Lj. Djukić +5 more
doaj +1 more source
International Journal for Numerical Methods in Fluids, EarlyView.This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro +2 more
wiley +1 more source
Parallel Complex Quadrature Spatial Modulation
Applied Sciences, 2020 In this paper, we propose a new multiple-input multiple-output (MIMO) transmission scheme, called parallel complex quadrature spatial modulation (PCQSM).
Sheriff Murtala +4 more
doaj +1 more source
Positive trigonometric quadrature formulas and quadrature on the unit circle [PDF]
Mathematics of Computation, 2011 We give several descriptions of positive quadrature formulas which are exact for trigonometric-, respectively, Laurent polynomials of degree less or equal to n
openaire +2 more sources
Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source