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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.
Hongzhi Zhong
exaly   +3 more sources

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
openaire   +1 more source

Shock wave simulations using Sinc Differential Quadrature Method

open access: yesEngineering Computations, 2011
PurposeThis paper aims to present a numerical solution of non‐linear 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
exaly   +2 more sources

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   +2 more
openaire   +2 more sources

The differential quadrature element method irregular element torsion analysis model [PDF]

open access: yesApplied Mathematical Modelling, 1999
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
exaly   +2 more sources

A Differential Quadrature as a numerical method to solve differential equations

Computational Mechanics, 1999
A 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.
openaire   +2 more sources

A new differential quadrature methodology for beam analysis and the associated differential quadrature element method

Computer Methods in Applied Mechanics and Engineering, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karami, G., Malekzadeh, P.
openaire   +1 more source

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.
openaire   +1 more source

A Differential Quadrature based procedure for parameter identification

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria A. De Rosa   +3 more
openaire   +4 more sources

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