Lischke, Anna; Pang, Guofei; Gulian, Mamikon; Song, Fangying; Glusa, Christian; Zheng, Xiaoning; Mao, Zhiping; Cai, Wei; Meerschaert, Mark M.; Ainsworth, Mark; Karniadakis, George Em What is the fractional Laplacian? A comparative review with new results. (English) Zbl 1453.35179 J. Comput. Phys. 404, Article ID 109009, 62 p. (2020). MSC: 35R11 60G51 35A01 35A02 65N30 65C05 35-02 65-02 PDFBibTeX XMLCite \textit{A. Lischke} et al., J. Comput. Phys. 404, Article ID 109009, 62 p. (2020; Zbl 1453.35179) Full Text: DOI Link
Chen, Xuejuan; Zeng, Fanhai; Karniadakis, George Em A tunable finite difference method for fractional differential equations with non-smooth solutions. (English) Zbl 1439.65082 Comput. Methods Appl. Mech. Eng. 318, 193-214 (2017). MSC: 65L10 34A08 PDFBibTeX XMLCite \textit{X. Chen} et al., Comput. Methods Appl. Mech. Eng. 318, 193--214 (2017; Zbl 1439.65082) Full Text: DOI
Kharazmi, Ehsan; Zayernouri, Mohsen; Karniadakis, George Em Petrov-Galerkin and spectral collocation methods for distributed order differential equations. (English) Zbl 1367.65113 SIAM J. Sci. Comput. 39, No. 3, A1003-A1037 (2017). MSC: 65L15 34L16 34A08 65L60 PDFBibTeX XMLCite \textit{E. Kharazmi} et al., SIAM J. Sci. Comput. 39, No. 3, A1003--A1037 (2017; Zbl 1367.65113) Full Text: DOI arXiv