Differential Quadrature and Its Application in Engineering / Edition 1

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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: 2/29/2000
  • Edition description: 2000
  • Edition number: 1
  • Pages: 340
  • Product dimensions: 0.88 (w) x 9.21 (h) x 6.14 (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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