Differential Quadrature and Its Application in Engineering

Name: Differential Quadrature and Its Application in Engineering
Brand: Springer London Ltd
SKU: 9781852332099
Price: 167.9 EUR
Availability: InStock

Автор: Chang Shu

Език:

Корици: С твърди корици

Издател: Springer London Ltd

Наличност: Външен склад

Изпращаме след 10-13 дни

167.90 € 328.38 лв

No other books on this subject in this area Fortran programs attached allow easy practical applicati...

Информация за книгата

Автор

Chang Shu

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2000

страници

340

EAN

9781852332099

ISBN

1852332093

Enbook ID

01435166

Издател

Springer London Ltd

Теглоt

705

Размери

155 x 235 x 24

Пълно описание

No other books on this subject in this area Fortran programs attached allow easy practical application of the methods in the book.§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. I t is also demonstrated that the polynomial-based differential quadrature method is equivalent to the highest-order finite difference scheme. Furthermore, the relationship between differential quadrature and conventional spectral collocation is analysed. The book contains material on: - Linear Vector Space Analysis and the Approximation of a Function; - Polynomial-, Fourier Expansion- and Exponential-based Differential Quadrature; - Differential Quadrature Weighting Coefficient Matrices; - Solution of Differential Quadrature-resultant Equations; - The Solution of Incompressible Navier-Stokes and Helmholtz Equations; - Structural and Vibrational Analysis Applications; - Generalized Integral Quadrature and its Application in the Solution of Boundary Layer Equations. Three FORTRAN programs for simulation of driven cavity flow, vibration analysis of plate and Helmholtz eigenvalue problems respectively, are appended. These sample programs should give the r eader a better understanding of differential quadrature and can easily be modified to solve the readers own engineering problems.

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Differential Quadrature and Its Application in Engineering

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