Generalized Differential Quadrature

 

[JA51] Wu, T.Y., and Liu, G. R., The Differential Quadrature As A Numerical Method To Solve Differential Equations. Computational Mechanics. Vol. 24, 1999, pp.197-205.

[JA67] Wu, T.Y., and Liu, G.R., The Generalized Differential Quadrature Rule For Initial-Value Differential Equations. Journal of Sound and Vibration. Vol 233(2), 2000, 195-213.

[JA68] Wu, T.Y., and Liu, G.R., Application Of Generalized Differential Quadrature Rule To Sixth-Order Differential Equations. Communications Numerical Methods in Engineering. Vol. 16(11), 2000, pp.777-784.

[JA70] Wu, T.Y., and Liu, G.R., Comparison Of Design Methods For A Tank-Bottom Annular Plate And Concrete Ringwall. International Journal of Pressure Vessels and Piping. Vol.77(9), 2000, 511-517.

[JA72] Wu, T.Y., and Liu, G.R., Axisymmetric Bending solution of shells of revolution by the Generalized Differential Quadrature Rule. International Journal of Pressure Vessels and Piping. Vol.77(4), 2000, pp.149-157.

[JA74] Liu, G.R. and Wu, T.Y., Numerical Solution For Differential Equations Of A Duffing-Type Non-Linearity Using The Generalized Differential Quadrature Rule, Journal of Sound & Vibration, 2000, Vol. 237(5), pp.805-817.

[JA80] Wu, T.Y., and Liu, G.R., The Generalized Differential Quadrature Rule For Fourth-Order Differential Equations. International Journal for Numerical Methods in Engineering. 2001,Vol. 50, pp.1907-1929.

[JA107] Wu, T.Y., Liu G.R., Application Of The Generalized Differential Quadrature Rule To Eighth-Order Differential Equations, Communications in Numerical Methods in Engineering, Vol. 17: (5), MAY 2001, 355-364.

[JA117] Liu, G.R. and Wu, T.Y., An Application Of The Generalized Differential Quadrature Rule In Blasius And Onsager Equations. International Journal for Numerical Methods in Engineering. 52: (9), 2001, pp. 1013-1027.

[JA118] Wu, T.Y. and Liu, G.R., Free Vibration Analysis Of Circular Plates With Variable Thickness By The Generalized Differential Quadrature Rule, International Journal of Solids and Structures, 38, 2001, 7967-7980.

[JA120] Liu G. R. and T. Y. Wu. Vibration Analysis Of Beams Using The Generalized Differential Quadrature Rule And Domain Decomposition. J. Sound Vib. 246: (3) 2001, pp. 461-481.

[JA125] Liu, G.R and Wu, T.Y, In-Plane Vibration Analyses Of Circular Arches By The Generalized Differential Quadrature Rule, International Journal of Mechanical Sciences, 43: (11), 2002, pp. 2597-2611.

[JA127] Liu, G.R., and Wu, T.Y., Multipoint Boundary Value Problems by the Differential Quadrature Method. Mathematical and Computer Modelling. 35: (1-2), 2002, pp. 215-227.

[JA147] Liu, G.R. and Wu, T.Y., Differential Quadrature Solutions Of Eight-Order Boundary-Value Differential Equations, Journal of Computation and Applied Mathematics, 145, 2002, 223.

[JA164] Wu TY, Wang YY, Liu GR, Free Vibration Analysis Of Circular Plates Using Generalized Differential Quadrature Rule, Computer Methods In Applied Mechanics And Engineering, 191 (46): 5365-5380, 2002.

[JA176] Wu TY, Wang YY, Liu GR, A Generalized Differential Quadrature Rule For Bending Analysis Of Cylindrical Barrel Shells, Computer Methods In Applied Mechanics And Engineering, 192 (13-14): 1629-1647 2003.

[JA181] Wu TY, Liu GR and Wang YY, Application of the generalized differential quadrature rule to initial–boundary-value problems, Journal of Sound and Vibration, 264 (4): 883-891, 2003.