Xu, Da Analytical and numerical solutions of a class of nonlinear integro-differential equations with \(L^1\) kernels. (English) Zbl 1434.65197 Nonlinear Anal., Real World Appl. 51, Article ID 103002, 28 p. (2020). MSC: 65M60 65M06 65M15 65N30 45K05 35A01 35A02 PDF BibTeX XML Cite \textit{D. Xu}, Nonlinear Anal., Real World Appl. 51, Article ID 103002, 28 p. (2020; Zbl 1434.65197) Full Text: DOI OpenURL
Zhou, Jun; Xu, Da; Dai, Xiuxiu Weak Galerkin finite element method for the parabolic integro-differential equation with weakly singular kernel. (English) Zbl 1438.65303 Comput. Appl. Math. 38, No. 2, Paper No. 38, 12 p. (2019). MSC: 65N30 65N12 65N15 35J50 35R09 45K05 65M06 PDF BibTeX XML Cite \textit{J. Zhou} et al., Comput. Appl. Math. 38, No. 2, Paper No. 38, 12 p. (2019; Zbl 1438.65303) Full Text: DOI OpenURL
Chen, Hongbin; Xu, Da; Cao, Jiliang; Zhou, Jun A backward Euler alternating direction implicit difference scheme for the three-dimensional fractional evolution equation. (English) Zbl 1407.65096 Numer. Methods Partial Differ. Equations 34, No. 3, 938-958 (2018). MSC: 65M06 65M12 65M15 65D32 35R11 PDF BibTeX XML Cite \textit{H. Chen} et al., Numer. Methods Partial Differ. Equations 34, No. 3, 938--958 (2018; Zbl 1407.65096) Full Text: DOI OpenURL
Xu, Da The time discretization in classes of integro-differential equations with completely monotonic kernels: Weighted asymptotic convergence. (English) Zbl 1342.65242 Numer. Methods Partial Differ. Equations 32, No. 3, 896-935 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45J05 PDF BibTeX XML Cite \textit{D. Xu}, Numer. Methods Partial Differ. Equations 32, No. 3, 896--935 (2016; Zbl 1342.65242) Full Text: DOI OpenURL
Fairweather, Graeme; Zhang, Haixiang; Yang, Xuehua; Xu, Da A backward Euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation. (English) Zbl 1352.65392 Numer. Methods Partial Differ. Equations 31, No. 5, 1534-1550 (2015). Reviewer: Zhiming Chen (Beijing) MSC: 65M70 35Q84 35R11 65M15 65M12 PDF BibTeX XML Cite \textit{G. Fairweather} et al., Numer. Methods Partial Differ. Equations 31, No. 5, 1534--1550 (2015; Zbl 1352.65392) Full Text: DOI OpenURL
Luo, Man; Xu, Da; Li, Limei; Yang, Xuehua Quasi wavelet based numerical method for Volterra integro-differential equations on unbounded spatial domains. (English) Zbl 1364.65210 Appl. Math. Comput. 227, 509-517 (2014). MSC: 65M70 65T60 45J05 45D05 PDF BibTeX XML Cite \textit{M. Luo} et al., Appl. Math. Comput. 227, 509--517 (2014; Zbl 1364.65210) 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 time discretization in classes of integro-differential equations with completely monotonic kernels: weighted asymptotic stability. (English) Zbl 1266.65212 Sci. China, Math. 56, No. 2, 395-424 (2013). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 45K05 PDF BibTeX XML Cite \textit{D. Xu}, Sci. China, Math. 56, No. 2, 395--424 (2013; Zbl 1266.65212) Full Text: DOI OpenURL
Long, Wenting; Xu, Da; Zeng, Xueying Quasi wavelet based numerical method for a class of partial integro-differential equation. (English) Zbl 1278.65199 Appl. Math. Comput. 218, No. 24, 11842-11850 (2012). MSC: 65R20 45K05 65T60 PDF BibTeX XML Cite \textit{W. Long} et al., Appl. Math. Comput. 218, No. 24, 11842--11850 (2012; Zbl 1278.65199) Full Text: DOI OpenURL
Yang, Xuehua; Xu, Da; Zhang, Haixiang Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel. (English) Zbl 1243.65165 Int. J. Comput. Math. 88, No. 15, 3236-3254 (2011). MSC: 65R20 45K05 45E10 65T60 PDF BibTeX XML Cite \textit{X. Yang} et al., Int. J. Comput. Math. 88, No. 15, 3236--3254 (2011; Zbl 1243.65165) Full Text: DOI OpenURL
Xu, Da The numerical analysis on a Volterra equation with asymptotically periodic solution. (English) Zbl 1233.65102 J. Comput. Appl. Math. 236, No. 5, 684-698 (2011). Reviewer: Neville Ford (Chester) MSC: 65R20 45D05 45J05 45A05 PDF BibTeX XML Cite \textit{D. Xu}, J. Comput. Appl. Math. 236, No. 5, 684--698 (2011; Zbl 1233.65102) Full Text: DOI OpenURL
Xu, Da Fractional Euler time discretization of an integrodifferential equation of parabolic type with a derivative memory term. (Chinese. English summary) Zbl 0917.65114 Pure Appl. Math. 13, No. 1, 50-56 (1997). MSC: 65R20 45K05 PDF BibTeX XML Cite \textit{D. Xu}, Pure Appl. Math. 13, No. 1, 50--56 (1997; Zbl 0917.65114) OpenURL
Xu, Da The global behavior of time discretization for an abstract Volterra equation in Hilbert space. (English) Zbl 0913.65138 Calcolo 34, No. 1-4, 71-104 (1997). MSC: 65R20 45K05 65J10 45N05 PDF BibTeX XML Cite \textit{D. Xu}, Calcolo 34, No. 1--4, 71--104 (1997; Zbl 0913.65138) OpenURL
Xu, Da Finite element methods of the two nonlinear integro-differential equations. (English) Zbl 0786.65127 Appl. Math. Comput. 58, No. 2-3, 241-273 (1993). Reviewer: L.Hacia (Poznań) MSC: 65R20 45K05 45G10 PDF BibTeX XML Cite \textit{D. Xu}, Appl. Math. Comput. 58, No. 2--3, 241--273 (1993; Zbl 0786.65127) Full Text: DOI OpenURL
Xu, Da On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. II: Nonsmooth initial data. (English) Zbl 0782.65161 Appl. Math. Comput. 58, No. 1, 29-60 (1993). Reviewer: S.F.Sburlan (Bucureşti) MSC: 65R20 45G05 45K05 PDF BibTeX XML Cite \textit{D. Xu}, Appl. Math. Comput. 58, No. 1, 29--60 (1993; Zbl 0782.65161) OpenURL
Xu, Da On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. I: Smooth initial data. (English) Zbl 0782.65160 Appl. Math. Comput. 58, No. 1, 1-27 (1993). Reviewer: S.F.Sburlan (Bucureşti) MSC: 65R20 45K05 45G05 PDF BibTeX XML Cite \textit{D. Xu}, Appl. Math. Comput. 58, No. 1, 1--27 (1993; Zbl 0782.65160) Full Text: DOI OpenURL