Liu, Tao Porosity reconstruction based on Biot elastic model of porous media by homotopy perturbation method. (English) Zbl 1505.76085 Chaos Solitons Fractals 158, Article ID 112007, 9 p. (2022). MSC: 76S05 76M21 PDFBibTeX XMLCite \textit{T. Liu}, Chaos Solitons Fractals 158, Article ID 112007, 9 p. (2022; Zbl 1505.76085) Full Text: DOI
Liu, Tao Parameter estimation with the multigrid-homotopy method for a nonlinear diffusion equation. (English) Zbl 1524.65479 J. Comput. Appl. Math. 413, Article ID 114393, 14 p. (2022). MSC: 65M32 35R30 65N21 76S05 65M55 65M99 65M12 76T06 PDFBibTeX XMLCite \textit{T. Liu}, J. Comput. Appl. Math. 413, Article ID 114393, 14 p. (2022; Zbl 1524.65479) Full Text: DOI
Liu, Tao A multigrid-homotopy method for nonlinear inverse problems. (English) Zbl 1450.65049 Comput. Math. Appl. 79, No. 6, 1706-1717 (2020). MSC: 65J22 65M55 49N45 PDFBibTeX XMLCite \textit{T. Liu}, Comput. Math. Appl. 79, No. 6, 1706--1717 (2020; Zbl 1450.65049) Full Text: DOI
Liu, Tao An adaptive multigrid conjugate gradient method for the inversion of a nonlinear convection-diffusion equation. (English) Zbl 1398.35255 J. Inverse Ill-Posed Probl. 26, No. 5, 623-631 (2018). MSC: 35R05 35R30 35Q35 65M55 76S05 PDFBibTeX XMLCite \textit{T. Liu}, J. Inverse Ill-Posed Probl. 26, No. 5, 623--631 (2018; Zbl 1398.35255) Full Text: DOI
Liu, Tao A wavelet multiscale method for the inverse problem of a nonlinear convection-diffusion equation. (English) Zbl 1376.65125 J. Comput. Appl. Math. 330, 165-176 (2018). MSC: 65M32 35R30 35K57 65T60 76S05 76M20 PDFBibTeX XMLCite \textit{T. Liu}, J. Comput. Appl. Math. 330, 165--176 (2018; Zbl 1376.65125) Full Text: DOI
Zhao, Jing-jun; Liu, Song-shu; Liu, Tao Determining surface heat flux for noncharacteristic Cauchy problem for Laplace equation. (English) Zbl 07313698 Math. Comput. Simul. 129, 69-80 (2016). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{J.-j. Zhao} et al., Math. Comput. Simul. 129, 69--80 (2016; Zbl 07313698) Full Text: DOI
Liu, Tao A wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations. (English) Zbl 1443.42024 Comput. Math. Appl. 71, No. 7, 1519-1523 (2016). MSC: 42C40 35R30 PDFBibTeX XMLCite \textit{T. Liu}, Comput. Math. Appl. 71, No. 7, 1519--1523 (2016; Zbl 1443.42024) Full Text: DOI
Liu, Tao Reconstruction of a permeability field with the wavelet multiscale-homotopy method for a nonlinear convection-diffusion equation. (English) Zbl 1410.76432 Appl. Math. Comput. 275, 432-437 (2016). MSC: 76S05 76M25 65M32 PDFBibTeX XMLCite \textit{T. Liu}, Appl. Math. Comput. 275, 432--437 (2016; Zbl 1410.76432) Full Text: DOI
Zhao, Jingjun; Liu, Tao A wavelet multiscale-adaptive homotopy method for the inverse problem of nonlinear diffusion equation. (English) Zbl 1326.65126 Inverse Probl. Sci. Eng. 23, No. 4, 617-634 (2015). MSC: 65M32 65H20 65T60 76S05 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{T. Liu}, Inverse Probl. Sci. Eng. 23, No. 4, 617--634 (2015; Zbl 1326.65126) Full Text: DOI
Zhao, Jingjun; Liu, Tao; Liu, Songshu Identification of space-dependent permeability in nonlinear diffusion equation from interior measurements using wavelet multiscale method. (English) Zbl 1308.65162 Inverse Probl. Sci. Eng. 22, No. 4, 507-529 (2014). MSC: 65M32 65M06 65T60 PDFBibTeX XMLCite \textit{J. Zhao} et al., Inverse Probl. Sci. Eng. 22, No. 4, 507--529 (2014; Zbl 1308.65162) Full Text: DOI
Zhao, Jingjun; Liu, Songshu; Liu, Tao A new regularization method for Cauchy problem of elliptic equation. (English) Zbl 1304.47015 Complex Var. Elliptic Equ. 59, No. 9, 1302-1314 (2014). MSC: 47A52 65J22 35R25 35R30 PDFBibTeX XMLCite \textit{J. Zhao} et al., Complex Var. Elliptic Equ. 59, No. 9, 1302--1314 (2014; Zbl 1304.47015) Full Text: DOI
Zhao, Jingjun; Liu, Tao; Liu, Songshu An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation. (English) Zbl 1279.35063 Inverse Probl. Sci. Eng. 21, No. 4, 585-604 (2013). MSC: 35K60 35R30 65M32 76S05 PDFBibTeX XMLCite \textit{J. Zhao} et al., Inverse Probl. Sci. Eng. 21, No. 4, 585--604 (2013; Zbl 1279.35063) Full Text: DOI