Rubasinghe, Kalani; Yao, Guangming; Li, Wen; Tsogtgerel, Gantumur Solving nonlinear elliptic PDEs in 2D and 3D using polyharmonic splines and low-degree of polynomials. (English) Zbl 07747961 Int. J. Comput. Methods 20, No. 8, Article ID 2250051, 21 p. (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{K. Rubasinghe} et al., Int. J. Comput. Methods 20, No. 8, Article ID 2250051, 21 p. (2023; Zbl 07747961) Full Text: DOI
Li, Wen; Rubasinghe, Kalani; Yao, Guangming; Kuo, L. H. The modified localized method of approximated particular solutions for linear and nonlinear convection-diffusion-reaction PDEs. (English) Zbl 1488.65510 Adv. Appl. Math. Mech. 12, No. 5, 1113-1136 (2020). MSC: 65M70 65M06 65N35 65D07 65M15 65D12 65F50 PDFBibTeX XMLCite \textit{W. Li} et al., Adv. Appl. Math. Mech. 12, No. 5, 1113--1136 (2020; Zbl 1488.65510) Full Text: DOI
Parshad, Rana D.; Yao, Guangming; Li, Wen Another mechanism to control invasive species and population explosion: “ecological” damping continued. (English) Zbl 1416.35281 Differ. Equ. Dyn. Syst. 27, No. 1-3, 249-276 (2019). MSC: 35Q92 35B44 35K57 65M70 92D25 PDFBibTeX XMLCite \textit{R. D. Parshad} et al., Differ. Equ. Dyn. Syst. 27, No. 1--3, 249--276 (2019; Zbl 1416.35281) Full Text: DOI
Li, Wen; Yao, Guangming; Niu, Jing The modified localized method of approximated particular solutions for solving elliptic equations with mixed boundary conditions on scattered data. (English) Zbl 1464.65273 Eng. Anal. Bound. Elem. 100, 164-174 (2019). MSC: 65N80 PDFBibTeX XMLCite \textit{W. Li} et al., Eng. Anal. Bound. Elem. 100, 164--174 (2019; Zbl 1464.65273) Full Text: DOI
Zheng, Hui; Yao, Guangming; Kuo, Lei-Hsin; Li, Xinxiang On the selection of a good shape parameter of the localized method of approximated particular solutions. (English) Zbl 1488.65696 Adv. Appl. Math. Mech. 10, No. 4, 896-911 (2018). MSC: 65N35 35J05 65D05 PDFBibTeX XMLCite \textit{H. Zheng} et al., Adv. Appl. Math. Mech. 10, No. 4, 896--911 (2018; Zbl 1488.65696) Full Text: DOI
Li, Wen; Song, Guohui; Yao, Guangming Piece-wise moving least squares approximation. (English) Zbl 1358.65014 Appl. Numer. Math. 115, 68-81 (2017). MSC: 65D10 65M60 PDFBibTeX XMLCite \textit{W. Li} et al., Appl. Numer. Math. 115, 68--81 (2017; Zbl 1358.65014) Full Text: DOI
Yao, Guangming An improved localized method of approximate particular solutions for solving elliptic PDEs. (English) Zbl 1443.65396 Comput. Math. Appl. 71, No. 1, 171-184 (2016). MSC: 65N35 PDFBibTeX XMLCite \textit{G. Yao}, Comput. Math. Appl. 71, No. 1, 171--184 (2016; Zbl 1443.65396) Full Text: DOI
Yao, G.; Bliss, K. M.; Crimi, M.; Fowler, K. R.; Clark-Stone, J.; Li, W.; Evans, P. J. Radial basis function simulation of slow-release permanganate for groundwater remediation via oxidation. (English) Zbl 1382.76252 J. Comput. Appl. Math. 307, 235-247 (2016). MSC: 76S05 76V05 PDFBibTeX XMLCite \textit{G. Yao} et al., J. Comput. Appl. Math. 307, 235--247 (2016; Zbl 1382.76252) Full Text: DOI
Yao, Guangming; Chen, C. S.; Li, Wen; Young, D. L. The localized method of approximated particular solutions for near-singular two- and three-dimensional problems. (English) Zbl 1443.65432 Comput. Math. Appl. 70, No. 12, 2883-2894 (2015). MSC: 65N99 PDFBibTeX XMLCite \textit{G. Yao} et al., Comput. Math. Appl. 70, No. 12, 2883--2894 (2015; Zbl 1443.65432) Full Text: DOI
Li, Wen; Liu, Xiaoyan; Yao, Guangming A local meshless collocation method for solving certain inverse problems. (English) Zbl 1403.65120 Eng. Anal. Bound. Elem. 57, 9-15 (2015). MSC: 65N21 65M32 65N35 PDFBibTeX XMLCite \textit{W. Li} et al., Eng. Anal. Bound. Elem. 57, 9--15 (2015; Zbl 1403.65120) Full Text: DOI
Yao, Guangming; Siraj-ul-Islam; Šarler, Božidar Assessment of global and local meshless methods based on collocation with radial basis functions for parabolic partial differential equations in three dimensions. (English) Zbl 1352.65403 Eng. Anal. Bound. Elem. 36, No. 11, 1640-1648 (2012). MSC: 65M70 PDFBibTeX XMLCite \textit{G. Yao} et al., Eng. Anal. Bound. Elem. 36, No. 11, 1640--1648 (2012; Zbl 1352.65403) Full Text: DOI
Yao, Guangming; Yu, Zeyun A localized meshless approach for modeling spatial-temporal calcium dynamics in ventricular myocytes. (English) Zbl 1243.92038 Int. J. Numer. Methods Biomed. Eng. 28, No. 2, 187-204 (2012). MSC: 92C50 35K57 65N99 35Q92 PDFBibTeX XMLCite \textit{G. Yao} and \textit{Z. Yu}, Int. J. Numer. Methods Biomed. Eng. 28, No. 2, 187--204 (2012; Zbl 1243.92038) Full Text: DOI Link
Yao, Guangming; Šarler, Bozidar; Chen, C. S. A comparison of three explicit local meshless methods using radial basis functions. (English) Zbl 1259.65155 Eng. Anal. Bound. Elem. 35, No. 3, 600-609 (2011). MSC: 65M70 65M99 PDFBibTeX XMLCite \textit{G. Yao} et al., Eng. Anal. Bound. Elem. 35, No. 3, 600--609 (2011; Zbl 1259.65155) Full Text: DOI
Yao, Guangming; Kolibal, Joseph; Chen, C. S. A localized approach for the method of approximate particular solutions. (English) Zbl 1221.65316 Comput. Math. Appl. 61, No. 9, 2376-2387 (2011). MSC: 65N99 35J25 PDFBibTeX XMLCite \textit{G. Yao} et al., Comput. Math. Appl. 61, No. 9, 2376--2387 (2011; Zbl 1221.65316) Full Text: DOI
Yao, Guangming; Tsai, C. H.; Chen, Wen The comparison of three meshless methods using radial basis functions for solving fourth-order partial differential equations. (English) Zbl 1267.65198 Eng. Anal. Bound. Elem. 34, No. 7, 625-631 (2010). MSC: 65N80 PDFBibTeX XMLCite \textit{G. Yao} et al., Eng. Anal. Bound. Elem. 34, No. 7, 625--631 (2010; Zbl 1267.65198) Full Text: DOI