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The structure of weighting coefficient matrices of harmonic differential quadrature and its applications

✍ Scribed by Chen, Wen ;Wang, X. ;Zhong, T.

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
320 KB
Volume
12
Category
Article
ISSN
1069-8299

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✦ Synopsis

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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