Qin, Dan; Fu, Kai; Liang, Dong Positivity preserving temporal second-order spatial fourth-order conservative characteristic methods for convection dominated diffusion equations. (English) Zbl 07750316 Comput. Math. Appl. 149, 190-202 (2023). MSC: 76M10 65M60 65N30 65M25 65M06 PDFBibTeX XMLCite \textit{D. Qin} et al., Comput. Math. Appl. 149, 190--202 (2023; Zbl 07750316) Full Text: DOI
Zhou, Zhongguo; Liang, Dong; Wong, Yaushu An efficient MMOCAA-DDM for solving advection diffusion equations. (English) Zbl 1524.65445 Comput. Math. Appl. 131, 35-53 (2023). MSC: 65M06 65M12 65M55 65Y05 35K15 65M25 65N06 65F05 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Comput. Math. Appl. 131, 35--53 (2023; Zbl 1524.65445) Full Text: DOI
Shi, Yilei; Xie, Shusen; Liang, Dong A fourth-order block-centered compact difference scheme for nonlinear contaminant transport equations with adsorption. (English) Zbl 1522.65153 Appl. Numer. Math. 171, 212-232 (2022). MSC: 65M06 65N06 76S05 76M20 35B35 35B65 35Q35 PDFBibTeX XMLCite \textit{Y. Shi} et al., Appl. Numer. Math. 171, 212--232 (2022; Zbl 1522.65153) Full Text: DOI
Shi, Yilei; Xie, Shusen; Liang, Dong; Fu, Kai High order compact block-centered finite difference schemes for elliptic and parabolic problems. (English) Zbl 1476.65192 J. Sci. Comput. 87, No. 3, Paper No. 86, 26 p. (2021). MSC: 65M06 65M12 65M15 35J15 35K10 PDFBibTeX XMLCite \textit{Y. Shi} et al., J. Sci. Comput. 87, No. 3, Paper No. 86, 26 p. (2021; Zbl 1476.65192) Full Text: DOI
Liang, Dong; Zhou, Zhongguo The conservative splitting domain decomposition method for multicomponent contamination flows in porous media. (English) Zbl 1453.65305 J. Comput. Phys. 400, Article ID 108974, 27 p. (2020). MSC: 65M55 76S05 76T06 86A05 76T30 76V05 PDFBibTeX XMLCite \textit{D. Liang} and \textit{Z. Zhou}, J. Comput. Phys. 400, Article ID 108974, 27 p. (2020; Zbl 1453.65305) Full Text: DOI
Fu, Kai; Liang, Dong A mass-conservative temporal second order and spatial fourth order characteristic finite volume method for atmospheric pollution advection diffusion problems. (English) Zbl 1433.65175 SIAM J. Sci. Comput. 41, No. 6, B1178-B1210 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M25 35Q49 76R50 76U60 76T15 86A10 35Q86 PDFBibTeX XMLCite \textit{K. Fu} and \textit{D. Liang}, SIAM J. Sci. Comput. 41, No. 6, B1178--B1210 (2019; Zbl 1433.65175) Full Text: DOI
Akhavan, Yousef; Liang, Dong; Chen, Michael Second order in time and space corrected explicit-implicit domain decomposition scheme for convection-diffusion equations. (English) Zbl 1415.76443 J. Comput. Appl. Math. 357, 38-55 (2019). MSC: 76M10 65M55 65M60 76S05 PDFBibTeX XMLCite \textit{Y. Akhavan} et al., J. Comput. Appl. Math. 357, 38--55 (2019; Zbl 1415.76443) Full Text: DOI
Zhou, Zhongguo; Liang, Dong; Wong, Yaushu The new mass-conserving S-DDM scheme for two-dimensional parabolic equations with variable coefficients. (English) Zbl 1427.65205 Appl. Math. Comput. 338, 882-902 (2018). MSC: 65M06 65M12 65M15 65M55 65Y05 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Appl. Math. Comput. 338, 882--902 (2018; Zbl 1427.65205) Full Text: DOI
Zhou, Zhongguo; Liang, Dong Mass-preserving time second-order explicit-implicit domain decomposition schemes for solving parabolic equations with variable coefficients. (English) Zbl 1400.65048 Comput. Appl. Math. 37, No. 4, 4423-4442 (2018). MSC: 65M06 65M12 65M55 76S05 76M20 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{D. Liang}, Comput. Appl. Math. 37, No. 4, 4423--4442 (2018; Zbl 1400.65048) Full Text: DOI
Zhou, Zhongguo; Liang, Dong A time second-order mass-conserved implicit-explicit domain decomposition scheme for solving the diffusion equations. (English) Zbl 1488.65322 Adv. Appl. Math. Mech. 9, No. 4, 795-817 (2017). MSC: 65M06 65N06 65M12 65M55 76S05 41A58 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{D. Liang}, Adv. Appl. Math. Mech. 9, No. 4, 795--817 (2017; Zbl 1488.65322) Full Text: DOI
Xu, Wenwen; Liang, Dong; Rui, Hongxing A multipoint flux mixed finite element method for the compressible Darcy-Forchheimer models. (English) Zbl 1426.76319 Appl. Math. Comput. 315, 259-277 (2017). MSC: 76M10 65N30 76S05 76M20 PDFBibTeX XMLCite \textit{W. Xu} et al., Appl. Math. Comput. 315, 259--277 (2017; Zbl 1426.76319) Full Text: DOI
Fu, Kai; Liang, Dong The time second order mass conservative characteristic FDM for advection-diffusion equations in high dimensions. (English) Zbl 1379.65061 J. Sci. Comput. 73, No. 1, 26-49 (2017). MSC: 65M06 35K20 65M25 PDFBibTeX XMLCite \textit{K. Fu} and \textit{D. Liang}, J. Sci. Comput. 73, No. 1, 26--49 (2017; Zbl 1379.65061) Full Text: DOI
Zhou, Zhongguo; Liang, Dong The mass-preserving and modified-upwind splitting DDM scheme for time-dependent convection-diffusion equations. (English) Zbl 1357.65141 J. Comput. Appl. Math. 317, 247-273 (2017). MSC: 65M06 35K20 65M12 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{D. Liang}, J. Comput. Appl. Math. 317, 247--273 (2017; Zbl 1357.65141) Full Text: DOI
Fu, Kai; Liang, Dong The conservative characteristic FD methods for atmospheric aerosol transport problems. (English) Zbl 1349.76461 J. Comput. Phys. 305, 494-520 (2016). MSC: 76M20 65M06 86A10 PDFBibTeX XMLCite \textit{K. Fu} and \textit{D. Liang}, J. Comput. Phys. 305, 494--520 (2016; Zbl 1349.76461) Full Text: DOI
Liang, Dong; Du, Chuanbin The efficient S-DDM scheme and its analysis for solving parabolic equations. (English) Zbl 1349.76499 J. Comput. Phys. 272, 46-69 (2014). MSC: 76M20 65M06 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{D. Liang} and \textit{C. Du}, J. Comput. Phys. 272, 46--69 (2014; Zbl 1349.76499) Full Text: DOI
Du, Chuanbin; Liang, Dong An efficient S-DDM iterative approach for compressible contamination fluid flows in porous media. (English) Zbl 1305.76074 J. Comput. Phys. 229, No. 12, 4501-4521 (2010). MSC: 76M25 76S05 PDFBibTeX XMLCite \textit{C. Du} and \textit{D. Liang}, J. Comput. Phys. 229, No. 12, 4501--4521 (2010; Zbl 1305.76074) Full Text: DOI