Wang, Yanyan; Hao, Zhaopeng; Du, Rui A linear finite difference scheme for the two-dimensional nonlinear Schrödinger equation with fractional Laplacian. (English) Zbl 07454940 J. Sci. Comput. 90, No. 1, Paper No. 24, 27 p. (2022). MSC: 65Mxx 35Qxx 35Rxx PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Sci. Comput. 90, No. 1, Paper No. 24, 27 p. (2022; Zbl 07454940) Full Text: DOI
Hao, Zhaopeng; Zhang, Zhongqiang; Du, Rui Fractional centered difference scheme for high-dimensional integral fractional Laplacian. (English) Zbl 07508456 J. Comput. Phys. 424, Article ID 109851, 17 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Z. Hao} et al., J. Comput. Phys. 424, Article ID 109851, 17 p. (2021; Zbl 07508456) Full Text: DOI
Du, Rui; Wang, Yanyan; Hao, Zhaopeng High-dimensional nonlinear Ginzburg-Landau equation with fractional Laplacian: discretization and simulations. (English) Zbl 1493.65128 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105920, 20 p. (2021). MSC: 65M06 65N06 65M12 65N12 65M15 65T50 35Q56 26A33 35R11 PDFBibTeX XMLCite \textit{R. Du} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105920, 20 p. (2021; Zbl 1493.65128) Full Text: DOI
Du, Rui; Hao, Zhao-Peng; Sun, Zhi-Zhong Lubich second-order methods for distributed-order time-fractional differential equations with smooth solutions. (English) Zbl 1457.65047 East Asian J. Appl. Math. 6, No. 2, 131-151 (2016). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{R. Du} et al., East Asian J. Appl. Math. 6, No. 2, 131--151 (2016; Zbl 1457.65047) Full Text: DOI