Shyaman, V. P.; Sreelakshmi, A.; Awasthi, Ashish A higher order implicit adaptive finite point method for the Burgers’ equation. (English) Zbl 1518.65092 J. Difference Equ. Appl. 29, No. 3, 235-269 (2023). MSC: 65M06 65N06 65M12 65M50 41A21 35Q53 PDFBibTeX XMLCite \textit{V. P. Shyaman} et al., J. Difference Equ. Appl. 29, No. 3, 235--269 (2023; Zbl 1518.65092) Full Text: DOI
Liu, Anning; Huang, Zhongyi Asymptotic analysis and a uniformly convergent numerical method for singular perturbation problems. (English) Zbl 1482.65219 East Asian J. Appl. Math. 11, No. 4, 755-787 (2021). MSC: 65N35 35C20 PDFBibTeX XMLCite \textit{A. Liu} and \textit{Z. Huang}, East Asian J. Appl. Math. 11, No. 4, 755--787 (2021; Zbl 1482.65219) Full Text: DOI
Liu, Xiaomin; Abbas, Muhammad; Yang, Honghong; Qin, Xinqiang; Nazir, Tahir Novel finite point approach for solving time-fractional convection-dominated diffusion equations. (English) Zbl 1485.35398 Adv. Difference Equ. 2021, Paper No. 4, 22 p. (2021). MSC: 35R11 65M06 26A33 65M12 65M70 PDFBibTeX XMLCite \textit{X. Liu} et al., Adv. Difference Equ. 2021, Paper No. 4, 22 p. (2021; Zbl 1485.35398) Full Text: DOI
Xie, Yaning; Huang, Zhongyi; Ying, Wenjun A Cartesian grid based tailored finite point method for reaction-diffusion equation on complex domains. (English) Zbl 07384067 Comput. Math. Appl. 97, 298-313 (2021). MSC: 65Mxx 35B25 35J25 65M06 PDFBibTeX XMLCite \textit{Y. Xie} et al., Comput. Math. Appl. 97, 298--313 (2021; Zbl 07384067) Full Text: DOI
Kong, Wang; Huang, Zhongyi Asymptotic analysis and numerical method for singularly perturbed eigenvalue problems. (English) Zbl 1404.65292 SIAM J. Sci. Comput. 40, No. 5, A3293-A3321 (2018). MSC: 65N35 65N38 35L10 35B40 65N25 35B20 PDFBibTeX XMLCite \textit{W. Kong} and \textit{Z. Huang}, SIAM J. Sci. Comput. 40, No. 5, A3293--A3321 (2018; Zbl 1404.65292) Full Text: DOI
Nie, Dongdong; Xie, Feng Singularly perturbed semilinear elliptic boundary value problems with discontinuous source term. (English) Zbl 1353.35034 Bound. Value Probl. 2016, Paper No. 164, 17 p. (2016). MSC: 35B25 35C20 35R05 35J20 35J61 PDFBibTeX XMLCite \textit{D. Nie} and \textit{F. Xie}, Bound. Value Probl. 2016, Paper No. 164, 17 p. (2016; Zbl 1353.35034) Full Text: DOI
Huang, Zhongyi; Yang, Yi Tailored finite point method for parabolic problems. (English) Zbl 1348.65145 Comput. Methods Appl. Math. 16, No. 4, 543-562 (2016). MSC: 65M70 65M80 80A20 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{Y. Yang}, Comput. Methods Appl. Math. 16, No. 4, 543--562 (2016; Zbl 1348.65145) Full Text: DOI
Huang, Zhongyi; Li, Ye Monotone finite point method for non-equilibrium radiation diffusion equations. (English) Zbl 1341.65041 BIT 56, No. 2, 659-679 (2016). MSC: 65M70 35K61 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{Y. Li}, BIT 56, No. 2, 659--679 (2016; Zbl 1341.65041) Full Text: DOI
Lin, Hongxu; Xie, Feng Singularly perturbed second order semilinear boundary value problems with interface conditions. (English) Zbl 1315.34060 Bound. Value Probl. 2015, Paper No. 47, 16 p. (2015). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34A36 34B15 34E05 PDFBibTeX XMLCite \textit{H. Lin} and \textit{F. Xie}, Bound. Value Probl. 2015, Paper No. 47, 16 p. (2015; Zbl 1315.34060) Full Text: DOI
Xie, Feng An interface problem with singular perturbation on a subinterval. (English) Zbl 1311.34042 Bound. Value Probl. 2014, Paper No. 201, 11 p. (2014). MSC: 34B15 34E10 34E15 PDFBibTeX XMLCite \textit{F. Xie}, Bound. Value Probl. 2014, Paper No. 201, 11 p. (2014; Zbl 1311.34042) Full Text: DOI
Han, Houde; Huang, Zhongyi; Ying, Wenjun A semi-discrete tailored finite point method for a class of anisotropic diffusion problems. (English) Zbl 1416.65449 Comput. Math. Appl. 65, No. 11, 1760-1774 (2013). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{H. Han} et al., Comput. Math. Appl. 65, No. 11, 1760--1774 (2013; Zbl 1416.65449) Full Text: DOI
Dehghan, Mehdi; Salehi, Rezvan A meshfree weak-strong (MWS) form method for the unsteady magnetohydrodynamic (MHD) flow in pipe with arbitrary wall conductivity. (English) Zbl 1398.76234 Comput. Mech. 52, No. 6, 1445-1462 (2013). MSC: 76W05 74S30 65N30 65M70 76M25 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{R. Salehi}, Comput. Mech. 52, No. 6, 1445--1462 (2013; Zbl 1398.76234) Full Text: DOI
Han, Houde; Huang, Zhongyi; Zhang, Shangyou An iterative method based on equation decomposition for the fourth-order singular perturbation problem. (English) Zbl 1288.65165 Numer. Methods Partial Differ. Equations 29, No. 3, 961-978 (2013). Reviewer: Thomas Sonar (Braunschweig) MSC: 65N30 PDFBibTeX XMLCite \textit{H. Han} et al., Numer. Methods Partial Differ. Equations 29, No. 3, 961--978 (2013; Zbl 1288.65165) Full Text: DOI
Han, Houde; Huang, Zhongyi Tailored finite point method based on exponential bases for convection-diffusion-reaction equation. (English) Zbl 1262.65169 Math. Comput. 82, No. 281, 213-226 (2013). MSC: 65N30 35J25 35B25 35B50 65N15 PDFBibTeX XMLCite \textit{H. Han} and \textit{Z. Huang}, Math. Comput. 82, No. 281, 213--226 (2013; Zbl 1262.65169) Full Text: DOI
Huang, Zhongyi; Yang, Xu Tailored finite point method for first order wave equation. (English) Zbl 1368.65193 J. Sci. Comput. 49, No. 3, 351-366 (2011). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{X. Yang}, J. Sci. Comput. 49, No. 3, 351--366 (2011; Zbl 1368.65193) Full Text: DOI
Han, Houde; Huang, Zhongyi Tailored finite point method for a singular perturbation problem with variable coefficients in two dimensions. (English) Zbl 1203.65225 J. Sci. Comput. 41, No. 2, 200-220 (2009). MSC: 65N08 PDFBibTeX XMLCite \textit{H. Han} and \textit{Z. Huang}, J. Sci. Comput. 41, No. 2, 200--220 (2009; Zbl 1203.65225) Full Text: DOI