Results 31 to 40 of about 71 (69)

Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model. [PDF]

open access: yesJ Nonlinear Sci, 2023
Crisan D   +4 more
europepmc   +1 more source

Numerical Analysis of Singular Weighted Integrals

open access: yes, 2007
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
core  

Construction and applications of Gaussian quadratures with nonclassical and exotic weight functions

open access: yes, 2015
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.
core  

Extrapolation Techniques For Constructing Higher Order Finite Element Methods

open access: yes, 1993
. 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
core  

Parallel Algorithms For Multi-Dimensional Integration

open access: yes, 1998
. 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
core  

Symmetries of Linear Functionals

open access: yes, 1994
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
core  

A Discrete Collocation Method for Boundary Integral Equations

open access: yes, 1994
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
core  

An optimal quadrature formula exact to the exponential function by the phi function method

open access: yes
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
core   +1 more source

Quadratures Involving Polynomials And Daubechies' Wavelets

open access: yes, 1994
. 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
core  

Error Expansions for Multidimensional Trapezoidal Rules with Sidi Transformations

open access: yes, 2007
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
core  

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