Differential quadrature and long-term integration
Richard Bellman,John Casti +1 more
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1971-05-01 and is currently open access. It has received 1113 citations till now. The article focuses on the topics: Numerical integration & Quadrature (mathematics).read more
Citations
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Differential Quadrature Method in Computational Mechanics: A Review
Charles W. Bert,Moinuddin Malik +1 more
TL;DR: The differential quadrature method (DQM) as discussed by the authors is a numerical solution technique for initial and/or boundary problems, which was developed by the late Richard Bellman and his associates in the early 70s.
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Strong Formulation Finite Element Method Based on Differential Quadrature: A Survey
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2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures
TL;DR: In this paper, the dynamics of conical, cylindrical shells and annular plates were analyzed using the first-order shear deformation theory (FSDT) and the generalized differential quadrature (GDQ) method.
Journal ArticleDOI
Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns
TL;DR: In this paper, the authors compared differential quadrature (DQ) and harmonic DQ (HDQ) methods for buckling, bending, and free vibration analysis of thin isotropic plates and columns.
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Two new approximate methods for analyzing free vibration of structural components
TL;DR: In this paper, the complementary energy method is applied to the free vibration analysis of various structural components, including prismatic and tapered bars, prismatic beams, and axisymmetric motion of circular membranes.
References
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Numerical inversion of the Laplace transform
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Numerical Inversion of the Laplace Transform: Applications to Biology, Economics Engineering, and Physics
TL;DR: Guidelines for the Calibration and Testing of EDM Instruments, South Africa and the Transvaal War Volume 8, Through the Air to the North Pole Or, the Wonderful Cruise of the Electric Monarch, Learn to Applique with Pat Sloan, Essays on the psychiatric dehumanization of man.
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Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations
Differential Quadrature Method in Computational Mechanics: A Review
Charles W. Bert,Moinuddin Malik +1 more