Differential Quadrature and Differential Quadrature Based Element Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Quadrature and Differential Quadrature Based Element Methods write by Xinwei Wang. This book was released on 2015-03-24. Differential Quadrature and Differential Quadrature Based Element Methods available in PDF, EPUB and Kindle. Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications is a comprehensive guide to these methods and their various applications in recent years. Due to the attractive features of rapid convergence, high accuracy, and computational efficiency, the differential quadrature method and its based element methods are increasingly being used to study problems in the area of structural mechanics, such as static, buckling and vibration problems of composite structures and functional material structures. This book covers new developments and their applications in detail, with accompanying FORTRAN and MATLAB programs to help you overcome difficult programming challenges. It summarises the variety of different quadrature formulations that can be found by varying the degree of polynomials, the treatment of boundary conditions and employing regular or irregular grid points, to help you choose the correct method for solving practical problems. Offers a clear explanation of both the theory and many applications of DQM to structural analyses Discusses and illustrates reliable ways to apply multiple boundary conditions and develop reliable grid distributions Supported by FORTRAN and MATLAB programs, including subroutines to compute grid distributions and weighting coefficients
Differential Quadrature and Its Application in Engineering
Differential Quadrature and Its Application in Engineering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Quadrature and Its Application in Engineering write by Chang Shu. This book was released on 2012-12-06. Differential Quadrature and Its Application in Engineering available in PDF, EPUB and Kindle. 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. It 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 reader a better understanding of differential quadrature and can easily be modified to solve the readers own engineering problems.
A Differential Quadrature Hierarchical Finite Element Method
A Differential Quadrature Hierarchical Finite Element Method - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Differential Quadrature Hierarchical Finite Element Method write by Bo Liu. This book was released on 2021-08-03. A Differential Quadrature Hierarchical Finite Element Method available in PDF, EPUB and Kindle. The differential quadrature hierarchical finite element method (DQHFEM) was proposed by Bo Liu. This method incorporated the advantages and the latest research achievements of the hierarchical finite element method (HFEM), the differential quadrature method (DQM) and the isogeometric analysis (IGA). The DQHFEM also overcame many limitations or difficulties of the three methods.This unique compendium systemically introduces the construction of various DQHFEM elements of commonly used geometric shapes like triangle, tetrahedrons, pyramids, etc. Abundant examples are also included such as statics and dynamics, isotropic materials and composites, linear and nonlinear problems, plates as well as shells and solid structures.This useful reference text focuses largely on numerical algorithms, but also introduces some latest advances on high order mesh generation, which often has been regarded as the major bottle neck for the wide application of high order FEM.
Differential Quadrature and Differential Quadrature Based Element Methods
Differential Quadrature and Differential Quadrature Based Element Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Quadrature and Differential Quadrature Based Element Methods write by . This book was released on . Differential Quadrature and Differential Quadrature Based Element Methods available in PDF, EPUB and Kindle.
Sinc Methods for Quadrature and Differential Equations
Sinc Methods for Quadrature and Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sinc Methods for Quadrature and Differential Equations write by John Lund. This book was released on 1992-01-01. Sinc Methods for Quadrature and Differential Equations available in PDF, EPUB and Kindle. Here is an elementary development of the Sinc-Galerkin method with the focal point being ordinary and partial differential equations. This is the first book to explain this powerful computational method for treating differential equations. These methods are an alternative to finite difference and finite element schemes, and are especially adaptable to problems with singular solutions. The text is written to facilitate easy implementation of the theory into operating numerical code. The authors' use of differential equations as a backdrop for the presentation of the material allows them to present a number of the applications of the sinc method. Many of these applications are useful in numerical processes of interest quite independent of differential equations. Specifically, numerical interpolation and quadrature, while fundamental to the Galerkin development, are useful in their own right.
