نتایج جستجو برای: gauss lobatto legendre integration

تعداد نتایج: 235993  

Journal: :Journal of Computational and Applied Mathematics 2008

Journal: :CoRR 2006
Koji Nuida Manabu Hagiwara Hajime Watanabe Hideki Imai

We investigate candidates of finite random variables for c-secure random fingerprinting codes, in viewpoints of both code lengths and required memories. We determine, under a natural assumption, the random variables with the minimal number of outputs (i.e. optimal in a viewpoint of memory) among all candidates, by revealing their deep relation with theory of Gauss-Legendre quadrature (a famous ...

Journal: :J. Computational Applied Mathematics 2011
David Elliott Peter R. Johnston Barbara M. Johnston

Error estimates are a very important aspect of numerical integration. It is desirable to know what level of truncation error might be expected for a given number of integration points. Here, we determine estimates for the truncation error when Gauss-Legendre quadrature is applied to the numerical evaluation of two dimensional integrals which arise in the boundary element method. Two examples ar...

2010
Philipp Dörsek Jens Markus Melenk Georg Kitzhofer Othmar Koch Gernot Pulverer Christa Simon Ewa B. Weinmüller Ansgar Jüngel Stefan Krause Paola Pietra Stefan Sauter Matthias Langer Harald Woracek Winfried Auzinger Felix Kramer Markus Aurada Samuel Ferraz-Leite Dirk Praetorius Laurent Desvillettes Céline Prévost

We present an a priori analysis of the hp-version of the finite element method for the primal formulation of frictional contact in linear elasticity. We introduce a new limiting case estimate for the interpolation error at Gauss and Gauss-Lobatto quadrature points. An hp-adaptive strategy is presented; numerical results shows that this strategy can lead to exponential convergence.

2000
Jie Shen Feng Wang Jinchao Xu

This paper concerns the iterative solution of the linear system arising from the Chebyshev–collocation approximation of second-order elliptic equations and presents an optimal multigrid preconditioner based on alternating line Gauss–Seidel smoothers for the corresponding stiffness matrix of bilinear finite elements on the Chebyshev–Gauss–Lobatto grid.  2000 IMACS. Published by Elsevier Science...

Journal: :Math. Comput. 2013
Ziqing Xie Li-Lian Wang Xiaodan Zhao

This paper is devoted to a rigorous analysis of exponential convergence of polynomial interpolation and spectral differentiation based on the Gegenbauer-Gauss and Gegenbauer-Gauss-Lobatto points, when the underlying function is analytic on and within an ellipse. Sharp error estimates in the maximum norm are derived.

2010
M. Abbaspour M. Ghodsi

The most suitable and widely used numerical integration method for boundary integrals in the BEM method is Gauss-Legendre integration. But, this integration method is not appropriate for singular and nearly singular integrations in BEM. In this study, some criteria are introduced for recognizing nearly singular integrals in the integral form of the Laplace equation. At the rst stage, a criterio...

2005
Timothy Barth

This work considers the discontinuous Galerkin (DG) finite element discretization of first-order systems of conservation laws derivable as moments of the kinetic Boltzmann equation with Levermore (1996) closure. Using standard energy analysis techniques, a new class of energy stable numerical flux functions are devised for the DG discretization of Boltzmann moment systems. Simplified energy sta...

Journal: :Journal of Computational and Applied Mathematics 1991

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