Communications in Numerical Methods in Engineering · 1996 · 46 citations · 8 references
Natural SciencesComputational EngineeringComputational ChemistryComputational GeometryComputational MechanicsHarmonic AnalysisMatrix ComputationNumerical AnalysisNumerical IntegrationNumerical Linear AlgebraNumerical Methods For Differential EquationsQuadrature OperatorsQuadrature RulesQuadrature Theory
The structure of weighting coefficient matrices of harmonic differential quadrature (HDQ) is found to be either centrosymmetric or skew centrosymmetric, depending on the order of the corresponding derivatives. The properties of both matrices are briefly discussed in the paper. It is noted that the computational effort of the harmonic quadrature for some problems can be further reduced by up to 75 per cent by using the properties of the above-mentioned matrices.
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The free vibration of rectangular plates
A.W. Leissa · Journal of Sound and Vibration · 1973 · 1.2K citations
Engineering, Mechanical Engineering, Structural Dynamics +12