Scientific and Engineering Computations 

Reprints (Peer-refereed journal papers):

(134) Shan Zhao and G.W. Wei, Matched interface and boundary(MIB) for the implementation of boundary conditions in high order centralfinite differences, in press,  Int.  J. Numer.Meth. Engng. (2008)

(133) Duan Chen,G.W. Wei, X. Cong and Ge Wang, Computational methodsfor optical molecular imaging, in press, Commun.Numer.Methods Engng, (2008).

(132) S.N. Yu, Y. Xiang and G.W.Wei, Matched interface and boundary (MIB) method for the vibration analysisof plates, in press, Commun. Numer. Methods Engng, (2008).

(131) S.N. Yu and G.W. Wei, Threedimensional matched interface and boundary (MIB) method for geometricsingularities, J. Comput. Phys.227, 602-632 (2007).

(128) S. N. Yu, W. H. Geng andG.W. Wei, Treatmentof geometric singularities inimplicit solvent models, J.  Chem. Phys.,  126,244108 (13 pages) (2007).

(127) Y.C. Zhou, M. Feig andG.W. Wei, Highly accurate biomolecular electrostaticsin continuum dielectric environments, J.Comput. Chem. in press (2007).

(126) G.W. Wei and S. Zhao,  On  the validityof ``A proof  that the discrete  singular  convolution (DSC)/Langrange-distributed  approxiamtion functi. on  (LDAF) method is  inferior to  high order finite  differences'',   J. Comput. Phys., 226 2389-2392(2007).

(125) S. N. Yu, Y. C. Zhou and G. W. Wei, Matched interface  and boundary  (MIB)  methodfor elliptic  problems  with sharp-edged  interfaces, J. Comput.Phys. 224, 729-756 (2007).

(122) Y.C. Zhou and G.W. Wei, Onthe fictitious-domain  and interpolation formulations  of  the matched  interface  and boundary (MIB)  method,  J. Comput. Phys.  219, 228-246 (2006).

(120)  L. Zhang, Y.  Xiang and G.W.  Wei,Local adaptive  differential  quadrature for free  vibration  analysis of cylindrical shells  with various  boundary conditions,  International Journal of Mechanical Sciences, 48,1126-1138 (2006).

(118) Y.H. Sun, Y.C. Zhou, S. G. Li and G.W. Wei, A windowedFourier spectral scheme for hyperbolic conservation laws,  J. Comput. Phys. ,  214, 466-490  (2006).

(117) Y.C. Zhou, S. Zhao, M. Feigand G. W. Wei,   High order matched interface and boundary (MIB)schemes for elliptic equations with discontinuous coefficients and singularsources, J. Comput. Phys. , 213, 1-30,  (2006).

(116)  C.W. Lim, Z.R. Li, Y. Xiang, G.W. Wei and C.M. Wang, On the missing modes when using the  exact frequency relationship between  Kirchhoffand Mindlin plates, Advances in VibrationEngineering, 4, 221-248, (2005).  

(112) S.N. Yu, S. Zhao  and G.W. Wei,  Localspectral time splitting method for first and second order partialdifferential  equations, J.  Comput. Phys., 206, 727-780 (2005).

(111) S. Zhao, G.W. Wei and  Y. Xiang, DSC analysis of free-edged beams  by an iteratively matched boundarymethod,  J.Sound Vibr.,284, 487-493 (2005).

(110) S. Zhao and G.W. Wei, Option valuation by usingdiscrete singular convolution,  Appl. Math. Comput.,  167, 383-418  (2005).

(109) C.W. Lim, Z.R. Li and G.W. Wei, DSC-Ritz method forthe high frequency mode analysis of thick shallow shells,  Int. J. Numer. Meth. Engng., 62, 205-232 (2005).

(108) Y.S. Hou, G.W. Wei and Y.Xiang, DSC-Ritz method for the vibration analysis of Mindlinplates,  Int.  J.  Numer. Meth.  Engng., 62,  262-288 (2005).

(107) S. Zhao and G.W. Wei, Tensor product derivativematching for wave propagation in inhomogeneous media, Microwave Optical Techn. Lett., 43(1), 69-77 (2004).

(105) S. Zhao and G.W. Wei, High orderFDTD methods via derivative matching for Maxwell's equations with materialinterfaces, J. Comput. Phys.,   200,  60-103,  (2004).

(104) C.H.W. Ng, Y.B. Zhao and G.W. Wei,Comparison of the DSC and GDQ methods for the vibration analysis of plates, Comput.  Methods Appl.  Mech.  Engng.,  193,  2483-2506 (2004).

(103) G. Bao, G.W. Wei, and S.Zhao, Numerical solution of the Helmholtz equation with high wave numbers,  Int. J.  Numer. Meth. Engng., 59,  389-408  (2004).

(102) Y.  Xiang  and G.W.Wei, Exact solution for buckling and vibration of stepped rectangular Mindlin  plates,  Int. J. Solid  Struct. ,  41, 279-294  (2004).

(101) M. Zhan, X.Wang, X. Gong,  G.W. Wei, andC.-H.  Lai, Completesynchronization and generalized synchronization of one -way coupledtime-delayed systems, Phys. Rev. E,  68, 036208 (2003).

(100) S. Guan, C.-H. Lai and G.W. Wei, A new wavelet methodfor characterizing turbulence, Comput.Phys.  Commun.  155, 77-91 (2003).

(99) Ying Wang, Y.B. Zhao and G.W. Wei, A note on thenumerical solution of high-order differential equations, J. Comput. Appl.  Math., 159, 387-398(2003).

(98) W.Z.  Bao,  F.F. Sun and G.W.  Wei, Numerical methods forthe generalized Zakharov system, J. Comput. Phys., 190,  201-228(2003).

(97) Z.H. Shao ,  G.W. Wei and  S. Zhao, DSCtime-domain solution of Maxwell's equations,  J. Comput.Phys., 189,  427-453 (2003).

(96) Y.C. Zhou and G.W. Wei, High-resolution conjugatefilters for the simulation of flows,  J. Comput. Phys., 189, 150-179 (2003).

(95) S. Zhao and G.W. Wei, Comparison of the discretesingular convolution and three other numerical schemes for Fisher's equation,  SIAM J.  Sci.  Comput.,25, 127-147 (2003).

(94) G.  Bao, G.W. Wei and S.Zhao, Local spectral time-domain method for electromagnetic wavepropagation,   Optics Letters,  28, 513-515 (2003).

(93) Z. H.  Shao,  Z. Shen,Q. He and G.W. Wei, A generalized higher-order finite difference time domainmethod and its application in guided-wave problems, IEEE T. Microwave Theory Tech., 51, 856-861 (2003).

(92) Y.C. Zhou, Y.Guand G.W. Wei, Shock-capturing with natural high frequency oscillations, Int. J.  Numer. Methods in Fluid,  41,1319-1338 (2003).

(91) Y.  Gu, Y.C. Zhou andG.W. Wei, Conjugate filters with spectral-like resolution for 2D incompressibleflows, Computers and Fluids, 33,777-794 (2003).

(88) Y. Gu and G.W. Wei,  Conjugated filter approach for shock capturing, Commun. Numer. Meth.Engng.,19, 99-110 (2003).

(87) Y.C. Zhou, B. S. V.  Patnaik,D.C. Wan and G. W. Wei, DSC solution for flow in a staggered double lid drivencavity, Int. J.  Numer.  Methods in  Engng., 57, 211-234 (2003).

(81) G.W. Wei, and Y. Gu,Conjugated filter approach for solving Burger's equation, J. Comput.  Appl. Math.,149, 439-456(2002).

(79) D.C. Wan, B.S.V.  Patnaik  and G.W. Wei,  Discrete singularconvolution-finite subdomain  method for the solution of incompressibleviscous flows, J.  Comput.  Phys.180,229-255 (2002).

(76) G.W. Wei, Y.B. Zhao, and Y.  Xiang, A novelapproach for the analysis of high frequency vibrations, J. Sound and Vibration , 257, 207-246 (2002).

(75) Y.B. Zhao and G.W. Wei,  DSCanalysis rectangular plates with non uniform boundaryconditions, J. Sound and Vibration,255, 203-225 (2002).

(73) Y.  Xiang, Y.B. Zhao and G.W. Wei,  Discrete singular convolution and its application tothe analysis of plates with internal supports. II Complex supports, Int.J.  Numer. Methods Engng., 55, 947-971(2002).

(72) G.W. Wei, Y.B. Zhao and Y.  Xiang,Discrete singular convolution and its application to the analysis of plateswith internal supports. I Theory and algorithm,  Int. J.  Numer. Methods Engng., 55,913-946 (2002).

(71) B.F.  Fengand G.W. Wei,  A comparison of the spectral and the discretesingular convolution schemes forthe KdV-type equations, J.  Comput. Appl. Math. , 145,183-188 (2002).

(68) Y.B. Zhao, G.W. Wei, and Y.  Xiang, Platevibration under irregular internal supports,   Int. J. Solids and Structures,39, 1361-1383 (2002).

(66) D.C. Wan, Y.C. Zhou and G.W. Wei, Numerical solution ofincompressible flows by the discrete singular convolution, Int. J.  Numer. Methods Fluid, 38 , 789-810(2002).

(64) S. Y. Yang, Y. C. Zhou and G.W. Wei, Comparison of thediscrete singular convolution algorithm and the Fourier pseudospectralmethods for solving partial differential equations, Comput.Phys. Commun. , 143 , 113-135 (2002).

(62) Y.B. Zhao, G.W. Wei, and Y. Xiang, Discrete singularconvolution for the prediction of high frequency vibration of plates, Int. J.Solids and Struct. , 39 , 65-88 (2002).

(61) G.W. Wei, H. Wang, D.J. Kouri,M. Papadakis, I.A. Kakadiaris,and D.K. Hoffman,  On the mathematical propertiesof distributed approximating functionals, J. Math.Chem., 30 , 83-107 (2001).

(60) Z. Shi, G.W. Wei, D.J. Kouri,D.K. Hoffman, Z. Bao, Lagrange wavelets forsignal processing, IEEE T. Image Processing, 10 ,1488-1508 (2001).

(59) D.C. Wan, B.S.V.  Patnaik and G.W.Wei,A new benchmark quality solution for the buoyancy driven cavity by discretesingular convolution, Numer. Heat Transfer B -Fundamentals , 40 , 199-228 (2001).

(58) G.W. Wei, Y.B. Zhao and Y. Xiang, The determination ofthe natural frequencies of rectangular plates with mixed boundary conditions bydiscrete singular convolution, Int. J. Mech. Sci. , 43,1731-1746 (2001).

(56) G.W. Wei, Discrete singular convolution for beamanalysis, Engineering  Structures , 23 , 1045-1053 (2001).

(55) G.W. Wei, Vibration analysis by discrete singularconvolution,  J. Sound Vibration , 244 , 535-553 (2001).

(53) G.W. Wei, A new algorithm for solving some mechanicalproblems, Comput. Methods Appl. Mech.Engng.,190,  2017-2030(2001).

(52) D.C. Wan and G.W. Wei, The study of quasi waveletsbased numerical method applied to Burgers' equations, Appl. Math. Mech-Engl , 21 , 1099-1110(2000).

(51) D.C. Wan and G.W. Wei, Numerical solution ofincompressible Euler and Navier-Stokes equations byefficient discrete singular convolution method, Acta Mechanica Sinica,16 , 223-239 (2000).

(50) G.W. Wei, Wavelets generated by using discretesingular convolution kernels,  J. Phys. A,Mathematical and General, 33 , 8577-8596 (2000).

(49) G.W. Wei,  A unified approachfor the solution of the Fokker-Planck equation, J. Phys. A, Mathematical and General , 33 , 4935-4953 (2000).

(48) G.W. Wei, Solving quantum eigenvalue problems by discretesingular convolution, J. Phys. B , 33 , 343-352(2000).

(47) G.W. Wei, Discrete singular convolution for thesine-Gordon equation,  Physica  D, 137, 247-259 (2000).

(46) D. K. Hoffman, G. W. Wei, and D. J. Kouri,  A variation approach to the Dirichlet--Gaborwavelet-distributed approximating functional, J. Math. Chem. , 25 ,235-244(1999).

(45) D.S. Zhang, G.W. Wei, D.J.Kouri,David K.Hoffman, Michael Gorman, Antonio Palacios,and GemunuH. Gunaratne,  Integrating the Kuramoto-Sivashinskyequationin polar coordinates: Application of the distributed approximating functionalapproach, Phys. Rev. E., 60 , 3353-3360 (1999).

(43) D.J.  Kouri, D.S. Zhang,G.W. Wei, and D.K. Hoffman, Numerical solutions of nonlinear wave equations ,Phys. Rev. , E 59 , 1274-1277 (1999).

(41) G.W. Wei, Discrete singular convolution for thesolution of the Fokker-Planck equations,  J.Chem. Phys., 110 , 8930-8942 (1999).

(38) D.S. Zhang, G.W. Wei, D.J. Kouriand D.K. Hoffman,  Lagrange distributedapproximating functional method for the solution of the  Schrodingerequation,  Chem. Phys. Lett. , 284 ,56-62 (1998).

(37) D.K. Hoffman, G.W. Wei, D.S. Zhang, and D.J. Kouri, Interpolating distributed approximating functionals, Phys. Rev. , E 57 ,6152-6160 (1998).

(36) D.K. Hoffman, G.W. Wei, and D.J. Kouri,Shannon-Gabor wavelet distributed approximating functional, Chem. Phys. Lett. , 287 , 119-124 (1998).

(35) G.W. Wei, D.S. Zhang, D.J. Kouriand D.K. Hoffman, Distributed approximating functional approach to Burgers'equation in one and two space dimensions, Comput.Phys. Commun. , 111 ,  87-92 (1998).

(33) G.W. Wei, D.J. Kouri, andD.K. Hoffman, Wavelets and distributed approximating functionals,Comput. Phys. Commun. ,112, 1-6(1998).

(32) G.W. Wei, D.S. Zhang, D.J. Kouri,and D.K.Hoffman,  Wavelet-distributedapproximatingfunctional method for solving the Navier-Stokesequation,Comput. Phys. Commun., 115, 18-24 (1998).

(31) G.W. Wei, D.S. Zhang, D.J. Kouri and D.K. Hoffman, A robust and reliable approach tononlinear dynamical problems, Comput. Phys. Commun., 111, 93-109 (1998).

(30) G.W. Wei, Quasi wavelets and quasi interpolatingwavelets,  Chem. Phys.  Lett. ,  296 , 215-222 (1998).

(28) G.W. Wei,D.S. Zhang,D.J.  Kouri and D.K. Hoffman,Lagrange distributed approximating functionals, Phys.Rev.  Lett. ,79 , 775-779(1997).

(26) D.S. Zhang,G.W. Wei,D.J.  Kouriand D.K. Hoffman,Distributed approximating functional approach to theFokker-Planckequation: Eigenfunction expansion,  J. Chem.Phys. , 106 , 5216-5224 (1997).

(25) D.S. Zhang, G.W. Wei, D.J. Kouriand D.K. Hoffman, Burgers' equation with high Reynolds number,  Phys. Fluids , 9 , 1853-1855 (1997).

(24) D.S. Zhang, G.W. Wei, D.J. Kouriand D.K. Hoffman, Numerical method for the nonlinear Fokker-Planck equation,Phys. Rev. E 56 , 1197-1206 (1997).

(23) G.W. Wei, D.S. Zhang, D.J. Kouriand D.K. Hoffman, Distributed approximating functional approach to the DAFapproximating functional approach to the Fokker-Planck equation: Timepropagation, J. Chem. Phys. , 107 , 3239-3246 (1997).