Yuan, Yujing; Liang, Dong Optimization of identifying point pollution sources for the convection-diffusion-reaction equations. (English) Zbl 1488.65388 Adv. Appl. Math. Mech. 13, No. 1, 1-17 (2021). MSC: 65M32 35Q93 86A05 90C59 90C90 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{D. Liang}, Adv. Appl. Math. Mech. 13, No. 1, 1--17 (2021; Zbl 1488.65388) Full Text: DOI
Deng, Dingwen; Xie, Jianqiang; Jiang, Yaolin; Liang, Dong A second-order box solver for nonlinear delayed convection-diffusion equations with Neumann boundary conditions. (English) Zbl 1499.65386 Int. J. Comput. Math. 96, No. 9, 1879-1898 (2019). MSC: 65M06 65N06 65M12 65M15 35R07 35K59 35A02 PDFBibTeX XMLCite \textit{D. Deng} et al., Int. J. Comput. Math. 96, No. 9, 1879--1898 (2019; Zbl 1499.65386) Full Text: DOI
Gao, Yulong; Liang, Dong; Li, Yonghai Optimal weighted upwind finite volume method for convection-diffusion equations in 2D. (English) Zbl 1418.65159 J. Comput. Appl. Math. 359, 73-87 (2019). MSC: 65N08 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{Y. Gao} et al., J. Comput. Appl. Math. 359, 73--87 (2019; Zbl 1418.65159) 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
Yuan, Yujing; Liang, Dong Numerical optimal pollution control subject to the convection-diffusion transport equations. (English) Zbl 1388.49044 Int. J. Numer. Anal. Model. 14, No. 3, 437-455 (2017). MSC: 49N90 65M08 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{D. Liang}, Int. J. Numer. Anal. Model. 14, No. 3, 437--455 (2017; Zbl 1388.49044) Full Text: Link
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
Hou, Thomas Y.; Liang, Dong Multiscale analysis for convection-dominated transport equations. (English) Zbl 1163.76048 Discrete Contin. Dyn. Syst. 23, No. 1-2, 281-298 (2009). MSC: 76R99 35Q35 76M50 35B27 PDFBibTeX XMLCite \textit{T. Y. Hou} and \textit{D. Liang}, Discrete Contin. Dyn. Syst. 23, No. 1--2, 281--298 (2009; Zbl 1163.76048) Full Text: DOI
Liang, Dong; Du, Chuanbin; Wang, Hong A fractional step ELLAM approach to high-dimensional convection-diffusion problems with forward particle tracking. (English) Zbl 1110.65091 J. Comput. Phys. 221, No. 1, 198-225 (2007). MSC: 65M55 65M60 76M10 76S05 35K15 PDFBibTeX XMLCite \textit{D. Liang} et al., J. Comput. Phys. 221, No. 1, 198--225 (2007; Zbl 1110.65091) Full Text: DOI
Liang, Dong; Zhao, Weidong An optimal weighted upwinding covolume method on non-standard grids for convection-diffusion problems in 2D. (English) Zbl 1110.76321 Int. J. Numer. Methods Eng. 67, No. 4, 553-577 (2006). MSC: 76M12 76R99 PDFBibTeX XMLCite \textit{D. Liang} and \textit{W. Zhao}, Int. J. Numer. Methods Eng. 67, No. 4, 553--577 (2006; Zbl 1110.76321) Full Text: DOI
Liang, Dong; Zhao, Weidong The weighted upwinding finite volume method for the convection diffusion problem on a nonstandard covolume grid. (English) Zbl 1060.65633 Psihoyios, G. (ed.), NACoM-2003 extended abstracts. Proceedings of the international conference on numerical analysis and computational mathematics, Cambridge, UK, May 23–26, 2003. (Contained as No. 2 in the journal ANACM 1, No. 1-2, 524 p. (2004)). Weinheim: Wiley-VCH (ISBN 3-527-40462-7). 111-114 (2004). MSC: 65L60 65L10 34B05 65L70 PDFBibTeX XMLCite \textit{D. Liang} and \textit{W. Zhao}, in: NACoM-2003 extended abstracts. Proceedings of the international conference on numerical analysis and computational mathematics, Cambridge, UK, May 23--26, 2003. (Contained as No. 2 in the journal ANACM 1, No. 1-2, 524 p. (2004)). Weinheim: Wiley-VCH. 111--114 (2004; Zbl 1060.65633)
Liang, Dong; Zhao, Weidong The weighted upwinding finite volume method for the convection diffusion problem on a nonstandard covolume grid. (English) Zbl 1069.65095 ANACM, Appl. Numer. Anal. Comput. Math. 1, No. 1, 180-194 (2004). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65L60 65L70 65L10 34B05 PDFBibTeX XMLCite \textit{D. Liang} and \textit{W. Zhao}, ANACM, Appl. Numer. Anal. Comput. Math. 1, No. 1, 180--194 (2004; Zbl 1069.65095) Full Text: DOI
Liang, Dong Upwinding finite covolume methods for unsteady convection-diffusion problems. (English) Zbl 1072.76043 Chen, Zhangxin (ed.) et al., Current trends in scientific computing. ICM 2002 Beijing satellite conference on scientific computing, August 15–18, 2002, Xi’an, China. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3261-1/pbk). Contemp. Math. 329, 245-252 (2003). MSC: 76M12 76M10 65M12 65M60 76R99 PDFBibTeX XMLCite \textit{D. Liang}, Contemp. Math. 329, 245--252 (2003; Zbl 1072.76043)
Zhao, Weidong; Liang, Dong Modified high-order upwind method for convection diffusion equation. (English) Zbl 1005.65116 Acta Math. Appl. Sin., Engl. Ser. 18, No. 1, 131-146 (2002). Reviewer: Prabhat Kumar Mahanti (New Brunswick) MSC: 65N06 65N15 35J25 PDFBibTeX XMLCite \textit{W. Zhao} and \textit{D. Liang}, Acta Math. Appl. Sin., Engl. Ser. 18, No. 1, 131--146 (2002; Zbl 1005.65116) Full Text: DOI
Liang, Dong; Rui, Hongxing; Cheng, Aijie Upwind splitting scheme for convection-diffusion equations. (English) Zbl 0960.65114 Numer. Math., J. Chin. Univ. 9, No. 1, 45-54 (2000). Reviewer: Marek Brandner (Plzeň) MSC: 65N06 65N12 35J25 PDFBibTeX XMLCite \textit{D. Liang} et al., Numer. Math., J. Chin. Univ. 9, No. 1, 45--54 (2000; Zbl 0960.65114)
Liang, Dong; Zhao, Weidong A high-order upwind method for the convection-diffusion problem. (English) Zbl 0897.76064 Comput. Methods Appl. Mech. Eng. 147, No. 1-2, 105-115 (1997). MSC: 76M20 76R99 65L10 PDFBibTeX XMLCite \textit{D. Liang} and \textit{W. Zhao}, Comput. Methods Appl. Mech. Eng. 147, No. 1--2, 105--115 (1997; Zbl 0897.76064) Full Text: DOI
Liang, Dong A kind of upwind schemes for convection diffusion equations. (Chinese. English summary) Zbl 0850.65169 Math. Numer. Sin. 13, No. 2, 133-141 (1991). MSC: 65M06 65M12 65M15 35K15 PDFBibTeX XMLCite \textit{D. Liang}, Math. Numer. Sin. 13, No. 2, 133--141 (1991; Zbl 0850.65169)
Liang, Dong Upwind generalized difference schemes for convection-diffusion problems. (Chinese. English summary) Zbl 0727.65082 Acta Math. Appl. Sin. 13, No. 4, 456-466 (1990). MSC: 65N06 65N12 35J25 PDFBibTeX XMLCite \textit{D. Liang}, Acta Math. Appl. Sin. 13, No. 4, 456--466 (1990; Zbl 0727.65082)