Differential Quadrature and Its Application in Engineering / Edition 1

Differential Quadrature and Its Application in Engineering / Edition 1

by Chang Shu, C. Shu
     
 

ISBN-10: 1852332093

ISBN-13: 9781852332099

Pub. Date: 02/29/2000

Publisher: Springer London

This book, aimed primarily at practicing engineers, scientists and gra duate students, gives a systematic description of the mathematical fun damentals of differential quadrature and its detailed implementation i n solving Helmholtz problems and problems of flow, structure and vibra tion. Differential quadrature provides a global approach to numerical

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Overview

This book, aimed primarily at practicing engineers, scientists and gra duate students, gives a systematic description of the mathematical fun damentals of differential quadrature and its detailed implementation i n solving Helmholtz problems and problems of flow, structure and vibra tion. Differential quadrature provides a global approach to numerical discretization, which approximates the derivatives by a linear weighte d sum of all the functional values in the whole domain. Following the analysis of function approximation and the analysis of a linear vector space, the book describes how weighting coefficients of the polynomia l-based, Fourier expansion-based, and exponential-based differential q uadrature methods can be computed explicitly. It is also demonstrated that the polynomial-based differential quadrature method is equivalent to the highest-order finite difference scheme. Furthermore, the relat ionship between differential quadrature and conventional spectral coll ocation is analyzed.

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Product Details

ISBN-13:
9781852332099
Publisher:
Springer London
Publication date:
02/29/2000
Edition description:
2000
Pages:
340
Product dimensions:
6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

Mathematical Fundamentals of Differential Quadrature Method: Linear Vector Space Analysis and Function Approximation.- Polynomial-based Differential Quadrature.- Fourier Expansion-based Differential Quadrature.- Some properties of DQ Weighting Coefficient Matrices.- Solution Techniques for DQ Resultant Equations.- Application of Differential Quadrature Method to Solve Incompressible Navier-Stokes Equations.- Application of Differential Quadrature Method to Structural and Vibration Analysis.- Miscellaneous Applications of Differential Quadrature Method.- Application of Differential Quadrature to Complex Problems.- Generalized Integral Quadrature and its Application to Solve of Boundary Layer Equations.- Appendices A-C.- References.- Index.

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