Qiao, Leijie; Xu, Da; Qiu, Wenlin The formally second-order BDF ADI difference/compact difference scheme for the nonlocal evolution problem in three-dimensional space. (English) Zbl 07441561 Appl. Numer. Math. 172, 359-381 (2022). MSC: 65R20 45K05 35R11 65M06 65M12 PDF BibTeX XML Cite \textit{L. Qiao} et al., Appl. Numer. Math. 172, 359--381 (2022; Zbl 07441561) Full Text: DOI OpenURL
Qiao, Leijie; Xu, Da A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation. (English) Zbl 07400546 Adv. Comput. Math. 47, No. 5, Paper No. 64, 22 p. (2021). MSC: 65-XX 35R11 45E10 65M70 65M15 PDF BibTeX XML Cite \textit{L. Qiao} and \textit{D. Xu}, Adv. Comput. Math. 47, No. 5, Paper No. 64, 22 p. (2021; Zbl 07400546) Full Text: DOI OpenURL
Chen, Hongbin; Xu, Da; Cao, Jiliang; Zhou, Jun A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation. (English) Zbl 1480.65207 Int. J. Comput. Math. 97, No. 5, 1100-1117 (2020). MSC: 65M06 35R11 45K05 65D32 PDF BibTeX XML Cite \textit{H. Chen} et al., Int. J. Comput. Math. 97, No. 5, 1100--1117 (2020; Zbl 1480.65207) Full Text: DOI OpenURL
Qiao, Leijie; Xu, Da BDF ADI orthogonal spline collocation scheme for the fractional integro-differential equation with two weakly singular kernels. (English) Zbl 1443.65250 Comput. Math. Appl. 78, No. 12, 3807-3820 (2019). MSC: 65M70 PDF BibTeX XML Cite \textit{L. Qiao} and \textit{D. Xu}, Comput. Math. Appl. 78, No. 12, 3807--3820 (2019; Zbl 1443.65250) Full Text: DOI OpenURL
Chen, Hongbin; Xu, Da; Peng, Yulong A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation. (English) Zbl 1443.65439 Appl. Math. Modelling 41, 54-67 (2017). MSC: 65R20 45K05 26A33 65M06 65M12 PDF BibTeX XML Cite \textit{H. Chen} et al., Appl. Math. Modelling 41, 54--67 (2017; Zbl 1443.65439) Full Text: DOI OpenURL
Li, Limei; Xu, Da An alternating direction implicit Galerkin finite element method for the two-dimensional time fractional evolution equation. (English) Zbl 1313.65266 Numer. Math., Theory Methods Appl. 7, No. 1, 41-57 (2014). MSC: 65M60 35R11 35K20 PDF BibTeX XML Cite \textit{L. Li} and \textit{D. Xu}, Numer. Math., Theory Methods Appl. 7, No. 1, 41--57 (2014; Zbl 1313.65266) Full Text: DOI OpenURL
Xu, Da The long time error analysis in the second order difference type method of an evolutionary integral equation with completely monotonic kernel. (English) Zbl 1295.45007 Adv. Comput. Math. 40, No. 4, 881-922 (2014). MSC: 45K05 65J08 65D32 PDF BibTeX XML Cite \textit{D. Xu}, Adv. Comput. Math. 40, No. 4, 881--922 (2014; Zbl 1295.45007) Full Text: DOI OpenURL
Chen, Hongbin; Xu, Da A compact difference scheme for an evolution equation with a weakly singular kernel. (English) Zbl 1289.65283 Numer. Math., Theory Methods Appl. 5, No. 4, 559-572 (2012). MSC: 65R20 45K05 PDF BibTeX XML Cite \textit{H. Chen} and \textit{D. Xu}, Numer. Math., Theory Methods Appl. 5, No. 4, 559--572 (2012; Zbl 1289.65283) Full Text: DOI OpenURL
Xu, Da Uniform \(l^{1}\) behaviour in a second-order difference-type method for a linear Volterra equation with completely monotonic kernel. I: Stability. (English) Zbl 1227.65136 IMA J. Numer. Anal. 31, No. 3, 1154-1180 (2011). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45D05 45J05 PDF BibTeX XML Cite \textit{D. Xu}, IMA J. Numer. Anal. 31, No. 3, 1154--1180 (2011; Zbl 1227.65136) Full Text: DOI OpenURL
Chen, Hongbin; Xu, Da A second order fully discrete difference scheme for a nonlinear partial integro-differential equation. (Chinese. English summary) Zbl 1164.65527 J. Syst. Sci. Math. Sci. 28, No. 1, 51-70 (2008). MSC: 65R20 45K05 45G10 26A33 PDF BibTeX XML Cite \textit{H. Chen} and \textit{D. Xu}, J. Syst. Sci. Math. Sci. 28, No. 1, 51--70 (2008; Zbl 1164.65527) OpenURL
Xu, Da The uniform \(L^2\) behavior for time discretization of an evolution equation. (English) Zbl 1029.65143 Acta Math. Sin., Engl. Ser. 19, No. 1, 127-140 (2003). Reviewer: T.C.Mohan (Dehra Dun) MSC: 65R20 45K05 PDF BibTeX XML Cite \textit{D. Xu}, Acta Math. Sin., Engl. Ser. 19, No. 1, 127--140 (2003; Zbl 1029.65143) Full Text: DOI OpenURL