Li, M.; Chen, C. S.; Hon, Y. C.; Wen, P. H. Finite integration method for solving multi-dimensional partial differential equations. (English) Zbl 1443.65391 Appl. Math. Modelling 39, No. 17, 4979-4994 (2015). MSC: 65N35 PDFBibTeX XMLCite \textit{M. Li} et al., Appl. Math. Modelling 39, No. 17, 4979--4994 (2015; Zbl 1443.65391) Full Text: DOI
Wen, P. H.; Hon, Y. C.; Li, M.; Korakianitis, T. Finite integration method for partial differential equations. (English) Zbl 1427.65308 Appl. Math. Modelling 37, No. 24, 10092-10106 (2013). MSC: 65M70 PDFBibTeX XMLCite \textit{P. H. Wen} et al., Appl. Math. Modelling 37, No. 24, 10092--10106 (2013; Zbl 1427.65308) Full Text: DOI
Hon, Y. C.; Schaback, R. Solving the 3D Laplace equation by meshless collocation via harmonic kernels. (English) Zbl 1272.65096 Adv. Comput. Math. 38, No. 1, 1-19 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N35 65N80 65N12 35J05 65N15 PDFBibTeX XMLCite \textit{Y. C. Hon} and \textit{R. Schaback}, Adv. Comput. Math. 38, No. 1, 1--19 (2013; Zbl 1272.65096) Full Text: DOI
Dou, F. F.; Hon, Y. C. Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation. (English) Zbl 1352.65309 Eng. Anal. Bound. Elem. 36, No. 9, 1344-1352 (2012). MSC: 65M32 44A10 35R11 45K05 PDFBibTeX XMLCite \textit{F. F. Dou} and \textit{Y. C. Hon}, Eng. Anal. Bound. Elem. 36, No. 9, 1344--1352 (2012; Zbl 1352.65309) Full Text: DOI
Hon, Y. C.; Schaback, Robert Solvability of partial differential equations by meshless kernel methods. (English) Zbl 1136.65111 Adv. Comput. Math. 28, No. 3, 283-299 (2008). MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{Y. C. Hon} and \textit{R. Schaback}, Adv. Comput. Math. 28, No. 3, 283--299 (2008; Zbl 1136.65111) Full Text: DOI
Li, Jichun; Hon, Y. C. Domain decomposition for radial basis meshless methods. (English) Zbl 1048.65124 Numer. Methods Partial Differ. Equations 20, No. 3, 450-462 (2004). MSC: 65N55 35J25 35J05 65N35 35R05 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. C. Hon}, Numer. Methods Partial Differ. Equations 20, No. 3, 450--462 (2004; Zbl 1048.65124) Full Text: DOI
Cheng, J.; Hon, Y. C.; Yamamoto, M. Conditional stability for an inverse Neumann boundary problem. (English) Zbl 1047.35131 Appl. Anal. 83, No. 1, 49-62 (2004). MSC: 35R30 35J05 35J25 PDFBibTeX XMLCite \textit{J. Cheng} et al., Appl. Anal. 83, No. 1, 49--62 (2004; Zbl 1047.35131) Full Text: DOI
Hon, Y. C.; Wei, T. A meshless scheme for solving inverse problems of Laplace equation. (English) Zbl 1037.65111 Hon, Yiu-Chung (ed.) et al., Recent development in theories and numerics. Proceedings of the international conference on inverse problems, Hong Kong, China, January 9–12, 2002. River Edge, NJ: World Scientific (ISBN 981-238-366-2/pbk). 291-300 (2003). MSC: 65N21 35J05 35R30 65N30 PDFBibTeX XMLCite \textit{Y. C. Hon} and \textit{T. Wei}, in: Recent development in theories and numerics. Proceedings of the international conference on inverse problems, Hong Kong, China, January 9--12, 2002. River Edge, NJ: World Scientific. 291--300 (2003; Zbl 1037.65111)
Wei, T.; Hon, Y. C.; Cheng, J. Computation for multidimensional Cauchy problem. (English) Zbl 1044.65074 SIAM J. Control Optimization 42, No. 2, 381-396 (2003). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M30 65M12 35J05 35R25 PDFBibTeX XMLCite \textit{T. Wei} et al., SIAM J. Control Optim. 42, No. 2, 381--396 (2003; Zbl 1044.65074) Full Text: DOI
Hon, Y. C.; Schaback, R.; Zhou, X. An adaptive greedy algorithm for solving large RBF collocation problems. (English) Zbl 1019.65093 Numer. Algorithms 32, No. 1, 13-25 (2003). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 35J05 65N12 PDFBibTeX XMLCite \textit{Y. C. Hon} et al., Numer. Algorithms 32, No. 1, 13--25 (2003; Zbl 1019.65093) Full Text: DOI
Hon, Y. C.; Wei, T. An orthonormal basis functions method for moment problems. (English) Zbl 1037.65133 Eng. Anal. Bound. Elem. 26, No. 10, 855-860 (2002). Reviewer: R. S. Dahiya (Ames) MSC: 65R10 35J05 65R20 44A60 45B05 PDFBibTeX XMLCite \textit{Y. C. Hon} and \textit{T. Wei}, Eng. Anal. Bound. Elem. 26, No. 10, 855--860 (2002; Zbl 1037.65133) Full Text: DOI
Li, Jichun; Hon, Y. C.; Chen, C. S. Numerical comparisons of two meshless methods using radial basis functions. (English) Zbl 1003.65132 Eng. Anal. Bound. Elem. 26, No. 3, 205-225 (2002). MSC: 65N35 65M70 35J05 35K15 PDFBibTeX XMLCite \textit{J. Li} et al., Eng. Anal. Bound. Elem. 26, No. 3, 205--225 (2002; Zbl 1003.65132) Full Text: DOI
Hon, Y. C.; Schaback, R. On unsymmetric collocation by radial basis functions. (English) Zbl 1026.65107 Appl. Math. Comput. 119, No. 2-3, 177-186 (2001). MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{Y. C. Hon} and \textit{R. Schaback}, Appl. Math. Comput. 119, No. 2--3, 177--186 (2001; Zbl 1026.65107) Full Text: DOI
Wu, Zongmin; Hon, Y. C. Numerical integration of harmonic functions with restricted sampling data. (English) Zbl 0996.65027 J. Complexity 17, No. 4, 898-909 (2001). MSC: 65D32 41A05 41A63 31A25 65N38 65N21 PDFBibTeX XMLCite \textit{Z. Wu} and \textit{Y. C. Hon}, J. Complexity 17, No. 4, 898--909 (2001; Zbl 0996.65027) Full Text: DOI
Cheng, J.; Hon, Y. C.; Yamamoto, M. Conditional stability estimation for an inverse boundary problem with non-smooth boundary in \(\mathcal{R}^3\). (English) Zbl 0970.35163 Trans. Am. Math. Soc. 353, No. 10, 4123-4138 (2001). MSC: 35R30 35J05 31B20 PDFBibTeX XMLCite \textit{J. Cheng} et al., Trans. Am. Math. Soc. 353, No. 10, 4123--4138 (2001; Zbl 0970.35163) Full Text: DOI
Hon, Y. C.; Wei, T. Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation. (English) Zbl 0980.35167 Inverse Probl. 17, No. 2, 261-271 (2001). MSC: 35R25 35J05 PDFBibTeX XMLCite \textit{Y. C. Hon} and \textit{T. Wei}, Inverse Probl. 17, No. 2, 261--271 (2001; Zbl 0980.35167) Full Text: DOI Link
Hon, Y. C.; Wu, Zongmin A numerical computation for inverse boundary determination problem. (English) Zbl 0972.65085 Eng. Anal. Bound. Elem. 24, No. 7-8, 599-606 (2000). Reviewer: Dinh Nho Hao (Frankfurt am Main) MSC: 65N21 35J05 35R30 65N15 PDFBibTeX XMLCite \textit{Y. C. Hon} and \textit{Z. Wu}, Eng. Anal. Bound. Elem. 24, No. 7--8, 599--606 (2000; Zbl 0972.65085) Full Text: DOI
Chen, C. S.; Golberg, M. A.; Hon, Y. C. Numerical justification of fundamental solutions and the quasi-Monte Carlo method for Poisson-type equations. (English) Zbl 0940.65133 Eng. Anal. Bound. Elem. 22, No. 1, 61-69 (1998). Reviewer: K.Najzar (Praha) MSC: 65N38 65C05 35J05 PDFBibTeX XMLCite \textit{C. S. Chen} et al., Eng. Anal. Bound. Elem. 22, No. 1, 61--69 (1998; Zbl 0940.65133) Full Text: DOI
Chen, C. S.; Golberg, M. A.; Hon, Y. C. The method of fundamental solutions and quasi-Monte Carlo method for diffusion equations. (English) Zbl 0929.76098 Int. J. Numer. Methods Eng. 43, No. 8, 1421-1435 (1998). MSC: 76M25 76R50 65C05 PDFBibTeX XMLCite \textit{C. S. Chen} et al., Int. J. Numer. Methods Eng. 43, No. 8, 1421--1435 (1998; Zbl 0929.76098) Full Text: DOI