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Localized triangular differential quadrature
Numerical Methods for Partial Differential Equations, 2003AbstractA 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.
Hongzhi Zhong
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Automatic differentiation of quadrature
Optimization Methods and Software, 2012We 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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Shock wave simulations using Sinc Differential Quadrature Method
PurposeThis paper aims to present a numerical solution of nonālinear Burger's equation using differential quadrature method based on sinc functions.Design/methodology/approachSinc Differential Quadrature Method is used for space discretization and four ...
Idris Dag, Alper Korkmaz
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Differential Quadrature Spatial Modulation
IEEE Transactions on Communications, 2017Quadrature 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 +2 more
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The differential quadrature element method irregular element torsion analysis model [PDF]
The differential quadrature element method (DQEM) has been proposed. The element weighting coefficient matrices are generated by the differential quadrature (DQ) or generic differential quadrature (GDQ).
Chang-New Chen
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A Differential Quadrature as a numerical method to solve differential equations
Computational Mechanics, 1999A Differential Quadrature proposed here can be used to solve boundary-value and initial-value differential equations with a linear or nonlinear nature. Unlike the classic Differential Quadrature Method (DQM), the newly proposed Differential Quadrature chooses the function values and some derivatives wherever necessary as independent variables ...
Wu, T.Y., Liu, G.R.
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Computer Methods in Applied Mechanics and Engineering, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karami, G., Malekzadeh, P.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karami, G., Malekzadeh, P.
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Generalization of differential quadrature discretization
Numerical Algorithms, 1999A 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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A Differential Quadrature based procedure for parameter identification
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria A. De Rosa +3 more
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