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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 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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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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Computer Methods in Applied Mechanics and Engineering, 2002
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Karami, G., Malekzadeh, P.
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Karami, G., Malekzadeh, P.
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Quadratures for Implicit Differential Equations
SIAM Journal on Numerical Analysis, 1970Quadrature 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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Triangular differential quadrature
Communications in Numerical Methods in Engineering, 2000Summary: 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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THE MODIFIED DIFFERENTIAL QUADRATURES AND THEIR APPLICATIONS
Chemical Engineering Communications, 1993Abstract In this paper, a number of modifications are instituted in implementing the quadrature method for solving chemical engineering problems with semi-infinite domains and/or steep gradients. This improvement in the curve-fitting ability of differential quadratures is achieved by adopting trial functions of forms other than the polynomials.
CHUEI-TIN CHANG†+2 more
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Differential Encoding for Quadrature-Amplitude Modulation
2010 IEEE 71st Vehicular Technology Conference, 2010In this paper, we propose a novel differential encoder for QAM (quadrature-amplitude modulation), by a look-up table instead of a rule. Using a table for differential encoding has the advantages of both low complexity and good error performance. We propose algorithms to construct the table for maximizing the minimum noncoherent distance and minimizing ...
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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.
Zhong, Hongzhi, Hua, Yongxia, He, Yuhong
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Advanced Differential Quadrature Methods
Modern Tools to Perform Numerical DifferentiationThe original direct differential quadrature (DQ) method has been known to fail for problems with strong nonlinearity and material discontinuity as well as for problems involving singularity, irregularity ...
Zhang, Yingyan (R16062) +2 more
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