Preprints
(134) S. Zhao and G.W. Wei, On the implementation of boundary conditions in high order methods, preprint.
(133) P. W. Bates, Z. Chen, Y.H. Sun, G.W. Wei and S. Zhao, Goemetric flows induced biomolecular surfaces, preprint.
Reprints
(Peer-refereed journal papers):
(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).
(130) W.H. Geng, S.N. Yu and G.W. Wei, Treatment of charge singularities in implicit solvent models, J. Chem. Phys., 127, 114106 (20 pages) (2007). Also available at the Virtual Journal of Biological Physics Research October 1, 2007
(129) P. Bates, G.W. Wei and S. Zhao, Minimal molecular surfaces and their applications, J. Comput. Chem., 29, 380-391 (2008).
(128) S. N. Yu, W. H. Geng and G.W. Wei, Treatment of geometric singularities in implicit solvent models, J. Chem. Phys., 126, 244108 (13 pages) (2007). Also available at the Virtual Journal of Biological Physics Research July 1, 2007
(127) Y.C. Zhou, M. Feig and G.W. Wei, Highly accurate biomolecular electrostatics in continuum dielectric environments, J. Comput. Chem. 29, 87-97 (2008).
(126) G.W. Wei and S. Zhao,
On
the validity of ``A proof that
the discrete singular
convolution (DSC)/Langrange-distributed approximation function
(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).
(124) G.W. Wei, Editoral: Recent advances in mathematical methods for the analysis of biomedical image, International Journal of Biomedical Imaging, vol. 2006, 70578, 1, (2006).
(123) S.F. Shieh, Y.Q. Wang , G.W. Wei and C.-H. Lai, Mathematical analysis of the wavelet method of chaos control, J. Math. Phys., 47, 082701 (2006).
(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).
(121) Ge Wang, Haiou Shen Wenxiang Cong, Shan Zhao and G.W. Wei, Temperature modulated bioluminescence tomography, Optics Express, 14 (17) 7852-7871 (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).
(119) Y.H. Sun, P.R. Wu, G.W. Wei and G. Wang, Evolution operator based single-step method for image processing, Int. J. Biomed. Imaging, 83847, 1-27 (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).
(115) Y.-C. Lai, Z. Liu, G.-W. Wei, C. H. Lai, Reply to ``Comment on `Shadowability of statistical averages in chaotic systems''', Physical Review Letters, 94, 219403 (2005).
(114) S.G. Guan, C.H. Lai and G.W. Wei, Phase synchronization between two essentially different chaotic systems, Phys. Rev. E , 72, 016205 (2005).
(113) S.G. Guan, C.H. Lai and G.W. Wei, Bistable chaos without symmetry in generalized synchronization, Phys. Rev. E , 71, 036209 (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).
(106) S. Guan, G.W. Wei and C.H. Lai, Controllability of flow turbulence, Phys. Rev. E, 69, 066214 (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, and C.-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).
(90) S. Guan, Y.C. Zhou, G.W. Wei and C.-H. Lai, Controlling flow turbulence, Chaos, 13, 64-70 (2003).
(89) S. Guan, C.-H. Lai and G.W. Wei, On geometry and boundary control of pattern formation and competition, Physica D, 176, 19-43 (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.
(86) S. Zhao and G.W. Wei, Jump process analysis for the trend estimation of time series, Comput. Statist. Data Anal., 42, 219-241 (2003).
(85) G.W. Wei, M. Zhan, and C.-H. Lai, Tailoring wavelets for chaos control, Phys. Rev. Lett. 89, 284103 (2002). This work was highlighted in Physical Review Letters and featured in Nature.
(84) G. W. Wei and Y. Q. Jia, Synchronization based image edge detection, Europhys. Lett. 59, 814-819 (2002).
(83) Y.-C. Lai, Z.H. Liu, G.W. Wei, and C.-H. Lai, Shadowing of statistical averages in chaotic systems, Phys. Rev. Lett . 89, 184101 (2002).
(82) M. Zhan, G.W. Wei, C.-H. Lai, Y.-C. Lai and Z.H. Liu, Coherent resonance near Hopf bifurcation from chaos, Phys. Rev. E 66, 036201 (2002).
(81) G.W. Wei, and Y. Gu, Conjugated filter approach for solving Burger's equation, J. Comput. Appl. Math., 149, 439-456 (2002).
(80) Y. Xiang, Y.B. Zhao and G.W. Wei, Closed form solutions for vibration of multi-span rectangular plates, Int. J. Mech. Sci. , 44, 1195-1218 (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).
(78) Y. Xiang and G.W. Wei, Exact solutions for the vibration of multi-span rectangular Mindlin plates, Journal of Vibration and Acoustics, Trans. ASME, 124, 545-551 (2002).
(77) G.W. Wei, Oscillation reduction by anisotropic diffusions, Comput. Phys. Commun. , 144 , 417-342 (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 nonuniform boundary conditions, J. Sound and Vibration, 255, 203-225 (2002).
(74) G.W. Wei and S. Zhao, Synchronization and information processing by an on-off coupling, Phys. Rev. E, 65, 056210 (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. Feng and G.W. Wei, A comparison of the spectral and the discrete singular convolution schemes for the KdV-type equations, J. Comput. Appl. Math. , 145, 183-188 (2002).
(70) Z.J. Hou and G.W. Wei, A new approach for edge detection, Pattern Recognition, 35, 1559-1570 (2002).
(69) B. S. V. Patnaik and G.W. Wei, Controlling wake turbulence [Phys. Rev. Lett. 88, 054502 (2002)], Phys. Rev. Lett. , 88, 127901 (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).
(67) S. Guan, C.-H. Lai and G.W. Wei, A wavelet method for the characterization of spatiotemporal patterns, Physica D , 163 , 49-79 (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).
(65) M. Zhan, G.W. Wei and C.-H. Lai, Transition from intermittence to periodicity in lag synchronization in coupled Rossler oscillators, Phys. Rev. E , 65, 036202 (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).
(63) B. S. V. Patnaik, and G.W. Wei, Controlling wake turbulence, Phys. Rev. Lett. , 88 , 054502 (2002). This work was featured in Physical Review Focus and Wissenschat-online.
(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).
(57) S. Guan, C.-H. Lai and G.W. Wei, Fourier-Bessel analysis of patterns in a circular domain, Physica D , 151 , 83-98 (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).
(54) G.W. Wei, Synchronization of single-side locally averaged adaptive coupling and its application to shock capturing, Phys. Rev. Lett. , 86 , 3542-3545 (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 MechanicaSinica, 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 Gemunu H. Gunaratne, Integrating the Kuramoto-Sivashinsky equation in polar coordinates: Application of the distributed approximating functional approach, Phys. Rev. E., 60 , 3353-3360 (1999).
(44) Zhuoer Shi, D.J. Kouri, G.W. Wei, and David K. Hoffman, Generalized symmetric interpolating wavelets, Comput. Phys. Commun., 119, 194-218 (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).
(42) G.W. Wei, Generalized Perona-Malik equation for Image Restoration, IEEE Signal Processing Lett., 6, 165-167 (1999).
(41) G.W. Wei, Discrete singular convolution for the solution of the Fokker-Planck equations, J. Chem. Phys. , 110 , 8930-8942 (1999).
(40) G.W. Wei, Generalized reaction-diffusion equations, Chem. Phys. Lett . , 303, 531-536 (1999).
(39) S. Alavi, G.W. Wei and R.F. Snider, Chain relations of reduced distribution functions and their associated correlation functions, J. Chem. Phys., 108 , 706-714 (1998).
(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).
(34) G.W. Wei, S. Althorpe, D.J. Kouri and D.K. Hoffman, Lagrange-distributed approximating-functional approach to wave-packet propagation: Application to the time-independent wave-packet reactant-product decoupling method, Phys. Rev. A 57 (5) , 3309-3316 (1998).
(27) G.W. Wei, S. Alavi and R.F. Snider, Equal reaction rates for all recombination pathways, J. Chem. Phys , 106 , 1463-1466 (1997).
(26) D.S. Zhang, G.W. Wei, D.J. Kouri and D.K. Hoffman, Distributed approximating functional approach to the Fokker-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 Fokker-Planck equation: Time propagation, J. Chem. Phys., 107 , 3239-3246 (1997).
(22) J.G. Muga, G.W. Wei and R.F. Snider, Short-time behaviour of the quantum survival probability, Europhys. Lett., 35, 247-252 (1996).
(21) J.G. Muga, G.W. Wei and R.F. Snider, Survival probability for the Yamaguchi potential, Ann. Phys. , 252 , 336-356 (1996).
(20) R.F. Snider, G.W. Wei and J.G. Muga, Moderately dense gas quantum kinetic theory: Transport coefficient expressions, J. Chem. Phys. , 105 , 3066-3078 (1996).
(19) R.F. Snider, G.W. Wei and J.G. Muga, Moderately dense gas quantum kinetic theory: Aspects of pair correlations, J. Chem. Phys. , 105 , 3057-3065 (1996).
(18) G.W. Wei and R.F. Snider, Discrete basis representation of Ursell operators, Phys. Rev. , E 54 , 2414-2418, (1996).
(17) G.W. Wei and R. F. Snider, Correlated state evaluation of the second virial coefficient, Phys. Rev. A , 52(4) , 2925-2936 (1995).