[1] Morlet J,Arens G,Fourgeau E,et al.Wave propagation and sampling theory and complex waves[J].Geophysics,1982,47(2):222~236.
[2] Chui C K.An Introduction to Wavelets[M].San Diego:Academic Press,1992.
[3] Wickerhauser M V.Adapted Wavelet Analysis From Theory to Software[M].Wellesley,MA:AK Peters,1994.
[4] Cohen A,Ryan R D.Wavelets and Multiscales Signal Processing[M].London:Chapman & Hall,1995.
[5] Qian S,Weiss J.Wavelet and the numerical solution of partial differential equations[J].J ComputPhys,1993,106(1):155~175.
[6] Vasilyev O V,Paolucci S.A dynamically adaptive multilevel wavelet collocation method for solvingpartial differential equations in finite domain[J].J Comput Phys,1996,125(2):498~512.
[7] WANG Cheng.The integral equations solution of N-S equations under low Reynolds number-anapplication of Gaussian wavelet analysis[D].Ph D thesis.Shanghai:Shanghai Jiaotong Universi!ty,1997.(in Chinese)
[8] Prosser R,Cant R S.On the use of wavelets in computational combustion[J].J Comput Phys,1998,147(2):337~361.
[9] Haar A.Zer theorie der orthogonalen funktionensysteme[J].Math Annal,1910,69(3):331~371.
[10] Mallat S.Multiresolution approximations and wavelet orthonormal bases of L2(R)[J].Transac!tion s of the American Mathematical Society,1989,315(1):68~87.
[11] Wei G W,Zhang D S,Kouri D J.Lagrange distributed approximating functionals[J].Phys RevLett,1997,79(5):775~779.
[12] Wei G W,Quasi wavelets and quasi interpolating wavelets[J].Chem Phys Lett,1998,296(3-4):215~222.
[13] Wei G W.Discrete singular convolution for the Fokker-Planck equation[J].J Chem Phys,1999,110(18):8930~8942.
[14] Cole J D.On a quasi-linear parabolic equation occurring in aerodynamics[J].Quart Appl Math,1951,9(2):225~236.
[15] Basdevant C,Deville M,Haldenwang P,et al.Spectral and f inite difference solutions of the Burg!ers equation[J].Comput&Fluids,1986,14(1):23. |
Email Alert
RSS