Scientific and Engineering Computations 

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

(133) Duan Chen, G.W. Wei, X. Cong and Ge Wang, Computational methods for 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 analysis of plates, in press, Commun. Numer. Methods Engng, (2008).

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

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

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

(126) G.W. Wei and S. Zhao,  On  the validity of ``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)  method for elliptic  problems  with sharp-edged  interfaces, J. Comput.Phys. 224, 729-756 (2007).

(122) Y.C. Zhou and G.W. Wei, On the 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 windowed Fourier spectral scheme for hyperbolic conservation laws,  J. Comput. Phys. ,  214, 466-490  (2006).

(117) Y.C. Zhou, S. Zhao, M. Feig and G. W. Wei,   High order matched interface and boundary (MIB) schemes for elliptic equations with discontinuous coefficients and singular sources, 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  Kirchhoff and Mindlin plates, Advances in Vibration Engineering, 4, 221-248, (2005).  

(112) S.N. Yu, S. Zhao  and G.W. Wei,  Local spectral time splitting method for first and second order partial differential  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 boundary method,  J.Sound Vibr., 284, 487-493 (2005).

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

(109) C.W. Lim, Z.R. Li and G.W. Wei, DSC-Ritz method for the 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 Mindlin plates,  Int.  J.  Numer.  Meth.  Engng., 62,  262-288 (2005).

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

(105) S. Zhao and G.W. Wei, High order FDTD methods via derivative matching for Maxwell's equations with material interfaces, 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, Complete synchronization and generalized synchronization of one -way coupled time-delayed systems, Phys. Rev. E,  68, 036208 (2003).

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

(99) Ying Wang, Y.B. Zhao and G.W. Wei, A note on the numerical 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 for the generalized Zakharov system,  J. Comput. Phys., 190,  201-228 (2003).

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

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

(95) S. Zhao and G.W. Wei, Comparison of the discrete singular 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 wave propagation,   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 domain method and its application in guided-wave problems,  IEEE T. Microwave Theory Tech., 51, 856-861 (2003).

(92) Y.C. Zhou, Y.Gu and 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 and G.W. Wei, Conjugate filters with spectral-like resolution for 2D incompressible flows, 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 driven cavity, 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 singular convolution-finite subdomain  method for the solution of incompressible viscous flows, J.  Comput.  Phys.180, 229-255 (2002).

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

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

(73) Y.  Xiang, Y.B. Zhao and G.W. Wei,  Discrete singular convolution and its application to the 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 plates with 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 discrete singular convolution schemes forthe KdV-type equations, J.  Comput.  Appl. Math. , 145,183-188 (2002).

(68) Y.B. Zhao, G.W. Wei, and Y.  Xiang, Plate vibration 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 of incompressible 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 the discrete singular convolution algorithm and the Fourier pseudospectral methods for solving partial differential equations, Comput. Phys. Commun. , 143 , 113-135 (2002).

(62) Y.B. Zhao, G.W. Wei, and Y. Xiang, Discrete singular convolution 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 properties of 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 for signal 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 discrete singular convolution, Numer. Heat Transfer B - Fundamentals , 40 , 199-228 (2001).

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

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

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

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

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

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

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

(49) G.W. Wei,  A unified approach for 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 discrete singular convolution, J. Phys. B , 33 , 343-352 (2000).

(47) G.W. Wei, Discrete singular convolution for the sine-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--Gabor wavelet-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-Sivashinskyequation in polar coordinates: Application of the distributed approximating functional approach, 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 the solution of the Fokker-Planck equations,  J. Chem. Phys., 110 , 8930-8942 (1999).

(38) D.S. Zhang, G.W. Wei, D.J. Kouri and D.K. Hoffman,  Lagrange distributed approximating functional method for the solution of the  Schrodinger equation,  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. Kouri and 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, and D.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-distributedapproximating functional 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 to nonlinear dynamical problems, Comput. Phys. Commun., 111, 93-109 (1998).

(30) G.W. Wei, Quasi wavelets and quasi interpolating wavelets,  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-Planck equation: Eigenfunction expansion,  J. Chem. Phys. , 106 , 5216-5224 (1997).

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

(24) D.S. Zhang, G.W. Wei, D.J. Kouri and 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. Kouri and D.K. Hoffman, Distributed approximating functional approach to the DAF approximating functional approach to the Fokker-Planck equation: Time propagation, J. Chem. Phys. , 107 , 3239-3246 (1997).