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Original Articles

A wavelet multiscale method for the inverse problems of a two-dimensional wave equation

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Pages 643-656 | Received 02 Sep 2003, Accepted 02 Mar 2004, Published online: 16 Aug 2006

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Jingjun Zhao & Tao Liu. (2015) A wavelet multiscale-adaptive homotopy method for the inverse problem of nonlinear diffusion equation. Inverse Problems in Science and Engineering 23:4, pages 617-634.
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Jingjun Zhao, Tao Liu & Songshu Liu. (2014) Identification of space-dependent permeability in nonlinear diffusion equation from interior measurements using wavelet multiscale method. Inverse Problems in Science and Engineering 22:4, pages 507-529.
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B. Han, H. S. Fu & Z. Li. (2005) A homotopy method for the inversion of a two-dimensional acoustic wave equation. Inverse Problems in Science and Engineering 13:4, pages 411-431.
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Christophe Roman, Francesco Ferrante & Christophe Prieur. (2021) Parameter Identification of a Linear Wave Equation From Experimental Boundary Data. IEEE Transactions on Control Systems Technology 29:5, pages 2166-2179.
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Tao Liu. (2018) A wavelet multiscale method for the inverse problem of a nonlinear convection–diffusion equation. Journal of Computational and Applied Mathematics 330, pages 165-176.
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Oishik Sen, Nicholas J. Gaul, K.K. Choi, Gustaaf Jacobs & H.S. Udaykumar. (2017) Evaluation of kriging based surrogate models constructed from mesoscale computations of shock interaction with particles. Journal of Computational Physics 336, pages 235-260.
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Tao Liu & Jie Song. (2017) Estimation of a Permeability Field within the Two-Phase Porous Media Flow Using Nonlinear Multigrid Method. Mathematical Problems in Engineering 2017, pages 1-9.
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Tao Liu. (2016) A wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations. Computers & Mathematics with Applications 71:7, pages 1519-1523.
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Tao Liu. (2016) Reconstruction of a permeability field with the wavelet multiscale–homotopy method for a nonlinear convection–diffusion equation. Applied Mathematics and Computation 275, pages 432-437.
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Huan Wang, Ailan Che, Shaokong Feng & Xiurun Ge. (2016) Full waveform inversion applied in defect investigation for ballastless undertrack structure of high-speed railway. Tunnelling and Underground Space Technology 51, pages 202-211.
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Hongsun Fu, Bo Han & Hongbo Liu. (2013) A wavelet multiscale iterative regularization method for the parameter estimation problems of partial differential equations. Neurocomputing 104, pages 138-145.
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Liang Ding, Bo Han & Jia-qi Liu. (2009) A wavelet multiscale method for inversion of Maxwell equations. Applied Mathematics and Mechanics 30:8, pages 1035-1044.
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H.S. Fu, B. Han & G.Q. Gai. (2007) A wavelet multiscale–homotopy method for the inverse problem of two-dimensional acoustic wave equation. Applied Mathematics and Computation 190:1, pages 576-582.
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Bo HanHongsun FuHong Liu. (2007) A homotopy method for well-log constraint waveform inversion. GEOPHYSICS 72:1, pages R1-R7.
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