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On the equivalence of generalized differential quadrature and highest order finite difference scheme

✍ Scribed by C. Shu; Y.T. Chew


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
965 KB
Volume
155
Category
Article
ISSN
0045-7825

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✦ Synopsis


It is shown in this paper that the global method of generalized differential quadrature (GDQ) is equivalent to the highest order finite difference scheme, which is the extension of low order.finite difference schemes. The effect-of grid point distribution on the accuracy of numerical results is studied by two numerical examples. The results showed that the ability to alter the grid point distribution in the CDQ method is an important feature to obtain accurate numerical solutions in certain problems.


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On the Use of Higher-Order Finite-Differ
✍ Miguel R Visbal; Datta V Gaitonde 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 770 KB

This study enables the use of very high-order finite-difference schemes for the solution of conservation laws on stretched, curvilinear, and deforming meshes. To illustrate these procedures, we focus on up to 6th-order Pade-type spatial discretizations coupled with up to 10th-order low-pass filters.