Results 11 to 20 of about 66,795 (159)
Fractal and Fractional, 2021 This paper introduces an efficient numerical scheme for solving a significant class of fractional differential equations. The major contributions made in this paper apply a direct approach based on a combination of time discretization and the Laplace ...
Samaneh Soradi-Zeid +2 more
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A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2023 This article is fully devoted to the numerical approximation of Cauchy-type integrals in the complex plane. A class of degree eight quadrature rules is formulated from a family of Gauss-type two-point rules based on the method of extrapolation. The basic
Arup Kumar Saha +2 more
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Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. Part II. Efficient flux quadrature [PDF]
, 2001 A new and efficient quadrature rule for the flux integrals arising in the space-time discontinuous Galerkin discretization of the Euler equations in a moving and deforming space-time domain is presented and analyzed. The quadrature rule is a factor three
Vegt, J.J.W. van der, Ven, H. van der
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Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
, 2009 A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Abramowitz +40 more
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Szegő–Lobatto quadrature rules
Journal of Computational and Applied Mathematics, 2007 Szegö quadrature rules are analogs of Gauss quadrature rules for the integration of periodic functions. They integrate exactly trigonometric polynomials of as high degree as possible. Szegö quadrature rules have a free parameter, which can be used to prescribe one node.
Jagels, Carl, Reichel, Lothar
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Convergent Non Complete Interpolatory Quadrature Rules [PDF]
, 2021 We find a family of convergent schemes of nodes for non-complete interpolatory quadrature rules.
Fidalgo, U., Olson, J.
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Quadrature rules for qualocation [PDF]
PAMM, 2003 AbstractQualocation is a method for the numerical treatment of boundary integral equations on smooth curves which was developed by Chandler, Sloan and Wendland (1988‐2000) [1,2]. They showed that the method needs symmetric J–point–quadrature rules on [0, 1] that are exact for a maximum number of 1–periodic functions$$ G _{\alpha} (x) \ggleich \sum ...
Michael Junges, Claus Schneider
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On the convergence rates of Gauss and Clenshaw-Curtis quadrature for functions of limited regularity [PDF]
, 2012 We study the optimal general rate of convergence of the n-point quadrature rules of Gauss and Clenshaw-Curtis when applied to functions of limited regularity: if the Chebyshev coefficients decay at a rate O(n^{-s-1}) for some s > 0, Clenshaw-Curtis and ...
Bornemann, Folkmar, Xiang, Shuhuang
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SoftwareX, 2022 We present a C++ package entitled 1D Controlled Source Electromagnetic Method using Quadrature With Extrapolation (1DCSEMQWE), which computes the electromagnetic field for a one-dimensional model in geophysics.
Pham Ngoc Kien, Sang-Mook Lee
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Journal of Mathematics, 2023 Laplace transform has been used for solving differential equations of fractional order either PDEs or ODEs. However, using the Laplace transform sometimes leads to solutions in Laplace space that are not readily invertible to the real domain by ...
null Kamran +4 more
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