Du, Qiang; Ju, Lili; Lu, Jianfang; Tian, Xiaochuan A discontinuous Galerkin method with penalty for one-dimensional nonlocal diffusion problems. (English) Zbl 1449.65242 Commun. Appl. Math. Comput. 2, No. 1, 31-55 (2020). MSC: 65M60 65R20 45A05 PDFBibTeX XMLCite \textit{Q. Du} et al., Commun. Appl. Math. Comput. 2, No. 1, 31--55 (2020; Zbl 1449.65242) Full Text: DOI
Du, Qiang; Ju, Lili; Lu, Jianfang Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems. (English) Zbl 1419.65058 J. Sci. Comput. 78, No. 3, 1438-1466 (2019). MSC: 65M60 65R20 65L06 65L07 45A05 65M15 65M12 PDFBibTeX XMLCite \textit{Q. Du} et al., J. Sci. Comput. 78, No. 3, 1438--1466 (2019; Zbl 1419.65058) Full Text: DOI
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation. (English) Zbl 1419.65018 SIAM J. Numer. Anal. 57, No. 2, 875-898 (2019). Reviewer: Victor Michel-Dansac (Toulouse) MSC: 65M06 65M12 65M15 65R20 35Q99 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Numer. Anal. 57, No. 2, 875--898 (2019; Zbl 1419.65018) Full Text: DOI arXiv
Du, Qiang; Ju, Lili; Lu, Jianfang A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems. (English) Zbl 1405.65118 Math. Comput. 88, No. 315, 123-147 (2019). Reviewer: Elena V. Tabarintseva (Chelyabinsk) MSC: 65M60 45K05 35R09 PDFBibTeX XMLCite \textit{Q. Du} et al., Math. Comput. 88, No. 315, 123--147 (2019; Zbl 1405.65118) Full Text: DOI
Zhang, Xiaoping; Wu, Jiming; Ju, Lili An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems. (English) Zbl 1405.65158 Appl. Numer. Math. 133, 52-68 (2018). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N35 74S25 65D32 15B05 65R20 PDFBibTeX XMLCite \textit{X. Zhang} et al., Appl. Numer. Math. 133, 52--68 (2018; Zbl 1405.65158) Full Text: DOI