Differential quadrature method in computational mechanics: a review

CW Bert, M Malik - 1996 - asmedigitalcollection.asme.org
The differential quadrature method is a numerical solution technique for initial and/or
boundary problems. It was developed by the late Richard Bellman and his associates in the …

A new approach to the differential quadrature method for fourth‐order equations

W Chen, AG Striz, CW Bert - International Journal for Numerical …, 1997 - Wiley Online Library
A generalized and more complete methodology for treating boundary conditions in the
Differential Quadrature Method (DQM) is presented. This improved approach eliminates the …

[图书][B] Advanced differential quadrature methods

Z Zong, Y Zhang - 2009 - taylorfrancis.com
Modern Tools to Perform Numerical DifferentiationThe original direct differential quadrature
(DQ) method has been known to fail for problems with strong nonlinearity and material …

A differential quadrature finite element method

Y Xing, B Liu, G Liu - International Journal of Applied Mechanics, 2010 - World Scientific
This paper studies the differential quadrature finite element method (DQFEM) systematically,
as a combination of differential quadrature method (DQM) and standard finite element …

[图书][B] Differential quadrature and differential quadrature based element methods: theory and applications

X Wang - 2015 - books.google.com
Differential Quadrature and Differential Quadrature Based Element Methods: Theory and
Applications is a comprehensive guide to these methods and their various applications in …

A differential quadrature as a numerical method to solve differential equations

TY Wu, GR Liu - Computational Mechanics, 1999 - Springer
A Differential Quadrature proposed here can be used to solve boundary-value and initial-
value differential equations with a linear or nonlinear nature. Unlike the classic Differential …

Differential quadrature: a powerful new technique for analysis of composite structures

CW Bert, M Malik - Composite structures, 1997 - Elsevier
Beginning with the original work of Richard Bellman and his associates, the differential
quadrature method is now recognized as an alternate numerical solution technique for the …

Solving initial value problems by differential quadrature method—part 2: second‐and higher‐order equations

TC Fung - International Journal for Numerical Methods in …, 2001 - Wiley Online Library
In Part 1 of this paper, the sampling grid points for the differential quadrature method to give
unconditionally stable higher‐order accurate time step integration algorithms are proposed …

Application of a new differential quadrature methodology for free vibration analysis of plates

G Karami, P Malekzadeh - International Journal for Numerical …, 2003 - Wiley Online Library
A new methodology is introduced in the differential quadrature (DQ) analysis of plate
problems. The proposed approach is distinct from other DQ methods by employing the …

Application of differential quadrature to static analysis of structural components

SK Jang, CW Bert, AG Striz - International Journal for …, 1989 - Wiley Online Library
The numerical technique of differential quadrature for the solution of linear and non‐linear
partial differential equations, first introduced by Bellman and his associates, is applied to the …