Results 131 to 140 of about 66,815 (179)

Imposing Dirichlet boundary conditions directly for FFT-based computational micromechanics. [PDF]

Comput Mech
Risthaus L, Schneider M.
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Nanoscale geometrical patterning for junctionless thermoelectrics

Gonzalez-Munoz S, Xiao P, Evangeli C, Castanon E, Finch S, Hamer M, Zultak J, Kazakova O, Siret K, McCann E, Gorbachev R, Kolosov O, Sachat AE.   +12 more
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Inversely Symmetric Interpolatory Quadrature Rules

Acta Applicandae Mathematica, 2000
Let \(d\phi (x)\) a symmetric distribution defined on \([-d,d]\), with \(d>0\). Further, let \(d\psi (t)\) be a strong weight distribution defined on \((\beta^2/b,b)\), where \(0< \beta< b\leq \infty\), and such that \[ d\psi (t)/\sqrt t=-d\psi (\beta ^2/t)/\sqrt {\beta ^2/t}. \] The authors consider the transformation \(x(t)=1/(2\sqrt \alpha)(\sqrt t -
De Andrade, E. X. L., Bracciali, Cleonice Fátima, Sri Ranga, A.   +2 more
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Asymptotic approximations from quadrature rules

Physical Review A, 1992
We examine the ability of one- and two-point Gauss-Laguerre quadratures in correctly describing the asymptotic behavior of Fourier transforms. We illustrate the effectiveness of this method with the example of the neon atomic form factor and compare it to the results obtained from the familiar expansion in terms of inverse powers of the independent ...
, Sagar, , Schmider, , Smith
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Associated symmetric quadrature rules

Applied Numerical Mathematics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sri Ranga, A., De Andrade, E. X L, Phillips, G. M.   +2 more
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Numerical integration rules near gaussian quadrature

Israel Journal of Mathematics, 1973
We call a numerical integration formula based onk nodes which is exact for polynomials of degree at mostn an (n, k) formula. Gaussian quadrature is the unique (2k−1,k) formula. In this paper we give a complete description of all (2k−3,k) formulas, including a characterization of those having all positive weights.
Micchelli, C. A., Rivlin, T. J.
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Hybrid Gauss-Trapezoidal Quadrature Rules

SIAM Journal on Scientific Computing, 1999
The author derives a new class of quadrature rules prescribed for regular and for singular functions as well. The most important property is the fact that the quadrature weights of these rules are positive and the class includes rules of arbitrarily high-order convergence.
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Three Point Quadrature Rules

2002
A unified treatment of three point quadrature rules is presented in which the classical rules of mid-point, trapezoidal and Simpson type are recaptured as particular cases. Riemann integrals are approximated for the derivative of the integrand belonging to a variety of norms.
Pietro Cerone, Sever S. Dragomir
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Simple Quadrature Rules

2014
In practice most definite integrals cannot be evaluated exactly. In such cases one must resort to various approximation methods, which can be quite complicated. Any method used to approximate a definite integral is called a quadrature rule. (Quadrature is any process used to construct a square equal in area to that of some given figure.) But in this ...
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Stieltjes Polynomials and Related Quadrature Rules

SIAM Review, 1982
In this paper we present a survey of theoretical results (some of them new) and numerical evidence of others concerning Stieltjes polynomials, Kronrod schemes and their generalizations applied to integrals with a (classical) nonnegative weight function. The use of these schemes in automatic integration routines is briefly outlined.
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