Zhang, Xiao-Yu; Wang, Ruyun; Fang, Qing Convergence analysis of the Shortley-Weller method on refinement grids for elliptic equations with singularities. (English) Zbl 1347.65164 Numer. Funct. Anal. Optim. 37, No. 6, 805-822 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N12 65N06 35J25 65N50 PDFBibTeX XMLCite \textit{X.-Y. Zhang} et al., Numer. Funct. Anal. Optim. 37, No. 6, 805--822 (2016; Zbl 1347.65164) Full Text: DOI
Zhang, Xiao-Yu; Fang, Qing Convergence of the Swartztrauber-Sweet method for parabolic problems on a disk with singularities. (English) Zbl 1287.65070 Numer. Funct. Anal. Optim. 35, No. 3, 356-369 (2014). MSC: 65M06 35K20 65M12 65M50 PDFBibTeX XMLCite \textit{X.-Y. Zhang} and \textit{Q. Fang}, Numer. Funct. Anal. Optim. 35, No. 3, 356--369 (2014; Zbl 1287.65070) Full Text: DOI
Li, Zi-Cai; Huang, Hung-Tsai; Huang, Chien-Sen; Lu, Tzon-Tzer; Fang, Qing Effective condition number of finite difference method for Poisson’s equation involving boundary singularities. (English) Zbl 1416.65404 Numer. Funct. Anal. Optim. 32, No. 6, 659-681 (2011). MSC: 65N06 65F35 65N30 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., Numer. Funct. Anal. Optim. 32, No. 6, 659--681 (2011; Zbl 1416.65404) Full Text: DOI
Zhang, Xiao-Yu; Fang, Qing Nonuniform FDM for Poisson-type equations on a disk with singular solutions. (English) Zbl 1202.65142 Numer. Funct. Anal. Optim. 31, No. 5, 634-651 (2010). Reviewer: Petr Sváček (Praha) MSC: 65N06 65N15 PDFBibTeX XMLCite \textit{X.-Y. Zhang} and \textit{Q. Fang}, Numer. Funct. Anal. Optim. 31, No. 5, 634--651 (2010; Zbl 1202.65142) Full Text: DOI
Li, Z.-C.; Fang, Q.; Wang, S. Superconvergence of solution derivatives for the Shortley-Weller difference approximation for parabolic problems. (English) Zbl 1190.65134 Numer. Funct. Anal. Optim. 30, No. 11-12, 1360-1380 (2009). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65M12 65M06 35K20 PDFBibTeX XMLCite \textit{Z. C. Li} et al., Numer. Funct. Anal. Optim. 30, No. 11--12, 1360--1380 (2009; Zbl 1190.65134) Full Text: DOI
Yamamoto, Tetsuro; Oishi, Shin’ichi; Nashed, M. Zuhair; Li, Zi-Cai; Fang, Qing Discretization principles for linear two-point boundary value problems. III. (English) Zbl 1169.65075 Numer. Funct. Anal. Optim. 29, No. 9-10, 1180-1200 (2008). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65L10 65L12 65L60 34B05 PDFBibTeX XMLCite \textit{T. Yamamoto} et al., Numer. Funct. Anal. Optim. 29, No. 9--10, 1180--1200 (2008; Zbl 1169.65075) Full Text: DOI
Yamamoto, Tetsuro; Oishi, Shin’ichi; Fang, Qing Discretization principles for linear two-point boundary value problems. II. (English) Zbl 1151.65065 Numer. Funct. Anal. Optim. 29, No. 1-2, 213-224 (2008). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65L10 65L12 65L60 34B05 PDFBibTeX XMLCite \textit{T. Yamamoto} et al., Numer. Funct. Anal. Optim. 29, No. 1--2, 213--224 (2008; Zbl 1151.65065) Full Text: DOI
Li, Zi-Cai; Fang, Qing; Wang, Song; Hu, Hsin-Yun Superconvergence of solution derivatives of the Shortley-Weller difference approximation to elliptic equations with singularities involving the mixed type of boundary conditions. (English) Zbl 1139.65071 Numer. Funct. Anal. Optim. 29, No. 1-2, 161-196 (2008). MSC: 65N12 65N06 35J25 65N30 65N15 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., Numer. Funct. Anal. Optim. 29, No. 1--2, 161--196 (2008; Zbl 1139.65071) Full Text: DOI
Fang, Qing; Shogenji, Yukihiro; Yamamoto, Tetsuro Error analysis of adaptive finite difference methods using stretching functions for polar coordinate form of Poisson-type equation. (English) Zbl 1030.65111 Numer. Funct. Anal. Optimization 24, No. 1-2, 17-44 (2003). Reviewer: Erwin Schechter (Kaiserslautern) MSC: 65N15 65N12 65N06 35J05 65N50 PDFBibTeX XMLCite \textit{Q. Fang} et al., Numer. Funct. Anal. Optim. 24, No. 1--2, 17--44 (2003; Zbl 1030.65111) Full Text: DOI
Li, Zi-Cai; Hu, Hsin-Yun; Fang, Qing; Yamamoto, Tetsuro Superconvergence of solution derivatives for the Shortley-Weller difference approximation of Poisson’s equation. II: Sigularity problems. (English) Zbl 1031.65118 Numer. Funct. Anal. Optimization 24, No. 3-4, 195-221 (2003). Reviewer: Leonid B.Chubarov (Novosibirsk) MSC: 65N12 65N06 65N30 35J05 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., Numer. Funct. Anal. Optim. 24, No. 3--4, 195--221 (2003; Zbl 1031.65118) Full Text: DOI
Yamamoto, Tetsuro; Fang, Qing; Chen, Xiaojun Superconvergence and nonsuperconvergence of the Shortley-Weller approximations for Dirichlet problems. (English) Zbl 0991.65108 Numer. Funct. Anal. Optimization 22, No. 3-4, 455-470 (2001). MSC: 65N12 65N06 35J25 PDFBibTeX XMLCite \textit{T. Yamamoto} et al., Numer. Funct. Anal. Optim. 22, No. 3--4, 455--470 (2001; Zbl 0991.65108) Full Text: DOI