Results 31 to 40 of about 1,208 (218)
Anti-Gaussian quadrature formulas [PDF]
Mathematics of Computation, 1996 An anti-Gaussian quadrature formula is an ( n + 1 )
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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
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On some quadrature rules with Gregory end corrections [PDF]
Opuscula Mathematica, 2009 How can one compute the sum of an infinite series \(s := a_1 + a_2 + \ldots\)? If the series converges fast, i.e., if the term \(a_n\) tends to \(0\) fast, then we can use the known bounds on this convergence to estimate the desired sum by a finite sum \(
Bogusław Bożek +2 more
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Immersed Boundary Projection Method for Boundaries With Slip Velocities
International Journal for Numerical Methods in Fluids, EarlyView.A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
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Weighted quadrature formulas for semi-infinite range integrals
Journal of Numerical Analysis and Approximation Theory, 2015 Weighted quadrature formulas on the half line \((a,+\infty)\), \(a>0\), for non-exponentially decreasing integrands are developed. Such \(n\)-point quadrature rules are exact for all functions of the form \(x\mapsto x^{-2}P(x^{-1})\), where \(P\) is an ...
Gradimir V. Milovanović
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Some Generalized Fractional Integral Inequalities for Convex Functions with Applications
Fractal and Fractional, 2022 In this paper, we establish a generalized fractional integrals identity involving some parameters and differentiable functions. Then, we use the newly established identity and prove different generalized fractional integrals inequalities like midpoint ...
Dafang Zhao +3 more
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Quadrature formulas using derivatives [PDF]
Mathematics of Computation, 1965 1. H. MINEUR, Techniques de Calcul Num~rique d l'Usage des Mathe'maticiens, Astronomes, Physiciens et Ingenieurs. Suivi de Quatre Notes Par: Mme. Henri Berthod-Zaborowski, Jean Bouzitat, et Marcel Mayot, B6ranger, Paris, 1952. 2. M. ABRAMOWITZ & I.
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InfoScience, EarlyView.With the advancement of 6G communications, high‐precision radar, and advanced imaging technologies, there is a growing demand for compact, high‐performance light sources capable of generating high‐frequency radio waves (millimeter‐wave and terahertz waves). This article systematically introduces how to efficiently generate these high‐frequency waves on
Jianfeng Xiong +8 more
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Complementary Romanovski-Routh polynomials and their zeros
Trends in Computational and Applied MathematicsThe efficacy of numerical methods like integral estimates via Gaussian quadrature formulas depends on the localization of the zeros of the associated family of orthogonal polynomials.
L. L. Silva Ribeiro +2 more
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A numerical solution for the equation of the lifting surface in subsonic flow including tunnel effects [PDF]
INCAS Bulletin, 2011 We employ the images method to establish the lifting surface equation including tunnel effects. We obtain a 2d hypersingular integral and we utilize Gauss-type quadrature formulas to discretize it.
Raluca DUMITRACHE, Adrian CARABINEANU
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