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Reducing the computational requirements of the differential quadrature method

✍ Scribed by Wen Chen; Yongxi Yu; Xinwei Wang

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
603 KB
Volume
12
Category
Article
ISSN
0749-159X

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✦ Synopsis

This article shows that the weighting coefficient matrices of the differential quadrature method (DQM) are centrosymmetric or skew-centrosymmetric, if the grid spacings are symmetric irrespective of whether they are equal or unequal. A new skew centrosymmetric matrix is also discussed. The application of the properties of centrosymmetric and skew centrosymmetric matrices can reduce the computational effort of the DQM for calculations of the inverse, determinant, eigenvectors, and eigenvalues by 75%. This computational advantage is also demonstrated via several numerical examples. @

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