Differential Quadrature and Its Application in Engineering
Publisher: Springer | ISBN: 1852332093 | edition 2000 | PDF | 360 pages | 21,4 mb
Publisher: Springer | ISBN: 1852332093 | edition 2000 | PDF | 360 pages | 21,4 mb
In the past few years, the differential quadrature method has been applied extensively in engineering. This book, aimed primarily at practising engineers, scientists and graduate students, gives a systematic description of the mathematical fundamentals of differential quadrature and its detailed implementation in solving Helmholtz problems and problems of flow, structure and vibration. Differential quadrature provides a global approach to numerical discretization, which approximates the derivatives by a linear weighted sum of all the functional values in the whole domain. Following the analysis of function approximation and the analysis of a linear vector space, it is shown in the book that the weighting coefficients of the polynomial-based, Fourier expansion-based, and exponential-based differential quadrature methods can be computed explicitly.
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