Results 221 to 230 of about 99,796 (273)

Localized triangular differential quadrature

Numerical Methods for Partial Differential Equations, 2003
AbstractA localized triangular differential quadrature method is introduced in this article. Not only is the existing limitation on the approximation order in the triangular differential quadrature eliminated but also the convergent rate is enhanced in the new method.
Zhong, Hongzhi, Hua, Yongxia, He, Yuhong
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Automatic differentiation of quadrature

Optimization Methods and Software, 2012
We analyse the application of automatic differentiation (AD) to the quadrature (numerical integration) of a function integrand to determine the sensitivities of the integral to variations in the limits of integration. We derive an expression for the truncation errors of such AD-derived sensitivities and relate them to the truncation error of the ...
Marina Menshikova, Shaun A. Forth
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Differential Quadrature Spatial Modulation

IEEE Transactions on Communications, 2017
Quadrature spatial modulation (QSM) is a recent multiple input multiple output transmission scheme that attracted significant research interest. QSM expands the spatial constellation diagram of spatial modulation (SM) to enhance the overall spectral efficiency while retaining all SM inherent advantages.
Raed Mesleh, Saud Althunibat, Abdelhamid Younis   +2 more
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Triangular differential quadrature

Communications in Numerical Methods in Engineering, 2000
Summary: We propose a triangular differential quadrature method, where the partial derivative of a function with respect to space variables at a given point is approximated by a weighted linear summation of function values at all discrete points in a triangular domain.
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Differential phase quadrature surface profiling interferometer

Applied Optics, 1990
This paper describes an optical surface profiling system based on phase quadrature differential interferometry. The optical path difference between two adjacent optical probe beams is measured. Interference phase calculation and sample scanning is controlled by a PC computer.
B A, Omar, A J, Holloway, D C, Emmony
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Quadratures for Implicit Differential Equations

SIAM Journal on Numerical Analysis, 1970
Quadrature methods are used to obtain numerical solutions of certain systems of implicit differential equations. Development of the methods leads to an extension of an existence theorem for implicit differential equations. Several examples indicate the range of application of the methods.
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Numerical Differentiation, Quadrature and Interpolation

2004
A series of ef formulae tuned on functions of the form (3.38) or (3.39) are derived here by the procedure described in the previous chapter. We construct the ef coefficients for approximations of the first and the second derivative of y(x), for a set of quadrature rules, and for some simple interpolation formulae.
Liviu Gr. Ixaru, Guido Vanden Berghe
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Differential Quadrature Analysis of Moving Load Problems

Advances in Applied Mathematics and Mechanics, 2016
AbstractThe differential quadrature method (DQM) has been successfully used in a variety of fields. Similar to the conventional point discrete methods such as the collocation method and finite difference method, however, the DQM has some difficulty in dealing with singular functions like the Dirac-delta function.
Wang, Xinwei, Jin, Chunhua
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Generalization of differential quadrature discretization

Numerical Algorithms, 1999
A differential quadrature formula is a weighted combination of function values and possible values of the derivative given in certain grid points. It is designed to give an approximation of the derived function at all points. For multivariate functions, the derivatives are of course replaced by partial derivatives.
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Numerical Differentiation Using Gaussian Quadrature

Journal of Engineering Mechanics, 1990
A numerical method is derived for finding the slope of a function from its tabulated values. This method requires that the interpolation function directly approximate the slope in the mean-square sense. In this way, a formal differentiation of the interpolation function is avoided.
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