Results 31 to 40 of about 71 (69)
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model. [PDF]
Crisan D +4 more
europepmc +1 more source
Numerical Analysis of Singular Weighted Integrals
Zusammenfassung Numerical Analysis of Singular Weighted Integrals. In this article we investigate the numerical aspects of integrals of the form b Z a f(x)/(x)dx (1) where f is an unobjectionable function and / is singular, i.e. / is oscillating with
Norbert Hungerbühler +3 more
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Construction and applications of Gaussian quadratures with nonclassical and exotic weight functions
In 1814 Carl Friedrich Gauß (1777–1855) developed his famous method of numerical integration which dramatically improves the earlier method of Isaac Newton (1643–1727) from 1676.
MILOVANOVIĆ, Gradimir V.
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Extrapolation Techniques For Constructing Higher Order Finite Element Methods
. The p-version of the finite element methods requires the exact calculation of the stiffness matrix by a special form of numerical integration. As an alternative to classical techniques that are based on Gauß quadrature, we propose to use low order ...
U. R Ude, U. Rüde
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Parallel Algorithms For Multi-Dimensional Integration
. A central feature of adaptive algorithms for the numerical approximation of definite integrals is the manipulation of the list containing the sub-intervals and corresponding error estimates.
J. M. Bull, T. L. Freeman
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Symmetries of Linear Functionals
It is shown that a linear functional on a space of functions can be described by G, a group of its symmetries, together with the restriction of to certain G-invariant functions. This simple consequence of invariant theory has long been used, implicitly,
Shayne Waldron
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A Discrete Collocation Method for Boundary Integral Equations
We propose a discrete collocation method for the boundary integral equations which arise from solving Laplace's equation \Deltau = 0. The Laplace's equation is defined on connected regions D in R 3 with a smooth boundary S.
Yajun Yang
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An optimal quadrature formula exact to the exponential function by the phi function method
The numerical integration of definite integrals is essential in fundamental and applied sciences. The accuracy of approximate integral calculations is contingent upon the initial data and specific requirements, leading to the imposition of diverse ...
BABAEV, Samandar +3 more
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Quadratures Involving Polynomials And Daubechies' Wavelets
. Scaling equations are used to derive formulae of quadratures involving polynomials and scaling/wavelet functions with compact supports; in particular, those discovered by Daubechies.
Wei-Chang Shann, Jann-chang Yan
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Error Expansions for Multidimensional Trapezoidal Rules with Sidi Transformations
In 1993, Sidi introduced a set of trigonometric transformations, x = /(t) that improve the effectiveness of the one-dimensional trapezoidal quadrature rule for a finite interval.
D. M. Potts, P. Verlinden, J. N. Lyness
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