Meng, Zhaoliang; Cui, Jintao; Luo, Zhongxuan Effect of numerical integration on a new rotated nonconforming quadrilateral element. (English) Zbl 1493.65222 J. Comput. Appl. Math. 402, Article ID 113798, 9 p. (2022). MSC: 65N30 65N15 65D30 PDFBibTeX XMLCite \textit{Z. Meng} et al., J. Comput. Appl. Math. 402, Article ID 113798, 9 p. (2022; Zbl 1493.65222) Full Text: DOI
Bao, Yuan; Meng, Zhaoliang; Luo, Zhongxuan A new \(H (\operatorname{div})\)-conforming Darcy-Stokes element on quadrilateral meshes. (English) Zbl 1474.65435 Numer. Math., Nanjing 42, No. 4, 308-327 (2020). MSC: 65N30 65N12 76S05 65D07 58A12 76M10 35Q35 PDFBibTeX XMLCite \textit{Y. Bao} et al., Numer. Math., Nanjing 42, No. 4, 308--327 (2020; Zbl 1474.65435)
Li, Haohao; Su, Zhixun; Li, Nannan; Liu, Ximin; Wang, Shengfa; Luo, Zhongxuan Non-rigid 3D shape retrieval based on multi-scale graphical image and joint Bayesian. (English) Zbl 1508.68398 Comput. Aided Geom. Des. 81, Article ID 101910, 16 p. (2020). MSC: 68U07 65D19 94A08 PDFBibTeX XMLCite \textit{H. Li} et al., Comput. Aided Geom. Des. 81, Article ID 101910, 16 p. (2020; Zbl 1508.68398) Full Text: DOI
Lei, Na; Zheng, Xiaopeng; Luo, Zhongxuan; Luo, Feng; Gu, Xianfeng Quadrilateral mesh generation. II: Meromorphic quartic differentials and Abel-Jacobi condition. (English) Zbl 1442.65019 Comput. Methods Appl. Mech. Eng. 366, Article ID 112980, 23 p. (2020). MSC: 65D17 57S30 PDFBibTeX XMLCite \textit{N. Lei} et al., Comput. Methods Appl. Mech. Eng. 366, Article ID 112980, 23 p. (2020; Zbl 1442.65019) Full Text: DOI arXiv
Chen, Wei; Zheng, Xiaopeng; Ke, Jingyao; Lei, Na; Luo, Zhongxuan; Gu, Xianfeng Quadrilateral mesh generation. I: Metric based method. (English) Zbl 1441.65116 Comput. Methods Appl. Mech. Eng. 356, 652-668 (2019). MSC: 65N50 53Z05 65D17 PDFBibTeX XMLCite \textit{W. Chen} et al., Comput. Methods Appl. Mech. Eng. 356, 652--668 (2019; Zbl 1441.65116) Full Text: DOI
Li, Nannan; Wang, Shengfa; Liu, Risheng; Guan, Ziqiao; Su, Zhixun; Luo, Zhongxuan; Qin, Hong Learning diffusion on global graph: a PDE-directed approach for feature detection on geometric shapes. (English) Zbl 1505.65128 Comput. Aided Geom. Des. 72, 111-125 (2019). MSC: 65D18 PDFBibTeX XMLCite \textit{N. Li} et al., Comput. Aided Geom. Des. 72, 111--125 (2019; Zbl 1505.65128) Full Text: DOI
Wang, Zhao; Luo, Zhongxuan; Zhang, Jielin; Saucan, Emil A novel local/global approach to spherical parameterization. (English) Zbl 1376.65022 J. Comput. Appl. Math. 329, 294-306 (2018). MSC: 65D18 74E25 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Comput. Appl. Math. 329, 294--306 (2018; Zbl 1376.65022) Full Text: DOI
Lei, Na; Zheng, Xiaopeng; Luo, Zhongxuan; Gu, David Xianfeng Quadrilateral and hexahedral mesh generation based on surface foliation theory. II. (English) Zbl 1439.65215 Comput. Methods Appl. Mech. Eng. 321, 406-426 (2017). MSC: 65N50 30F30 65D17 PDFBibTeX XMLCite \textit{N. Lei} et al., Comput. Methods Appl. Mech. Eng. 321, 406--426 (2017; Zbl 1439.65215) Full Text: DOI
Hu, Zhongyong; Meng, Zhaoliang; Luo, Zhongxuan A class of multivariate Hermite interpolation of total degree. (English) Zbl 1399.65029 J. Math. Res. Appl. 37, No. 3, 345-350 (2017). MSC: 65D05 PDFBibTeX XMLCite \textit{Z. Hu} et al., J. Math. Res. Appl. 37, No. 3, 345--350 (2017; Zbl 1399.65029) Full Text: DOI
Hu, Zhongyong; Meng, Zhaoliang; Luo, Zhongxuan On the singularity of multivariate Hermite interpolation of total degree. (English) Zbl 1374.41002 Discrete Dyn. Nat. Soc. 2016, Article ID 7515876, 11 p. (2016). MSC: 41A05 41A63 65D05 PDFBibTeX XMLCite \textit{Z. Hu} et al., Discrete Dyn. Nat. Soc. 2016, Article ID 7515876, 11 p. (2016; Zbl 1374.41002) Full Text: DOI
Qi, Wanfeng; Luo, Zhongxuan; Fan, Xin Subdivision schemes induced by approximating schemes. (Chinese. English summary) Zbl 1499.65034 Sci. Sin., Math. 44, No. 7, 755-768 (2014). MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{W. Qi} et al., Sci. Sin., Math. 44, No. 7, 755--768 (2014; Zbl 1499.65034) Full Text: DOI
Luo, Zhongxuan; Feng, Erbao; Zhang, Jielin Computing singular points of projective plane algebraic curves by homotopy continuation methods. (English) Zbl 1422.65044 Discrete Dyn. Nat. Soc. 2014, Article ID 230847, 9 p. (2014). MSC: 65D17 14H20 14H50 14Q05 65H10 PDFBibTeX XMLCite \textit{Z. Luo} et al., Discrete Dyn. Nat. Soc. 2014, Article ID 230847, 9 p. (2014; Zbl 1422.65044) Full Text: DOI
Luo, Zhongxuan; Feng, Erbao; Zhang, Jiejin A numerical realization of the conditions of Max Nöther’s residual intersection theorem. (English) Zbl 1324.65032 Appl. Math., Ser. B (Engl. Ed.) 29, No. 4, 481-502 (2014). MSC: 65D18 13D15 14Q05 65H20 65Y20 PDFBibTeX XMLCite \textit{Z. Luo} et al., Appl. Math., Ser. B (Engl. Ed.) 29, No. 4, 481--502 (2014; Zbl 1324.65032) Full Text: DOI
Yu, Ran; Meng, Zhaoliang; Luo, Zhongxuan Simple fourth-degree cubature formulae with few nodes over general product regions. (English) Zbl 1324.65040 Numer. Math., Theory Methods Appl. 7, No. 2, 179-192 (2014). MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{R. Yu} et al., Numer. Math., Theory Methods Appl. 7, No. 2, 179--192 (2014; Zbl 1324.65040) Full Text: DOI
Luo, Zhongxuan; Yu, Ran; Meng, Zhaoliang The maximum trigonometric degrees of quadrature formulae with prescribed nodes. (English) Zbl 1324.65036 Commun. Math. Res. 30, No. 4, 334-344 (2014). MSC: 65D32 42A15 41A55 65T40 30E05 PDFBibTeX XMLCite \textit{Z. Luo} et al., Commun. Math. Res. 30, No. 4, 334--344 (2014; Zbl 1324.65036) Full Text: DOI
Meng, Zhaoliang; Luo, Zhongxuan On the singularity of multivariate Hermite interpolation. (English) Zbl 1280.65013 J. Comput. Appl. Math. 261, 85-94 (2014). MSC: 65D05 41A05 41A63 PDFBibTeX XMLCite \textit{Z. Meng} and \textit{Z. Luo}, J. Comput. Appl. Math. 261, 85--94 (2014; Zbl 1280.65013) Full Text: DOI arXiv
Luo, Zhongxuan; Qi, Wanfeng On interpolatory subdivision from approximating subdivision scheme. (English) Zbl 1329.65043 Appl. Math. Comput. 220, 339-349 (2013). MSC: 65D05 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{W. Qi}, Appl. Math. Comput. 220, 339--349 (2013; Zbl 1329.65043) Full Text: DOI
Meng, Zhaoliang; Luo, Zhongxuan An extension of Chebyshev’s maximum principle to several variables. (English) Zbl 1299.65035 Commun. Math. Res. 29, No. 4, 363-369 (2013). MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{Z. Meng} and \textit{Z. Luo}, Commun. Math. Res. 29, No. 4, 363--369 (2013; Zbl 1299.65035)
Liu, Chengming; Luo, Zhongxuan; Shi, Xiquan; Liu, Fengshan; Luo, Xiaonan A fast mesh parameterization algorithm based on 4-point interpolatory subdivision. (English) Zbl 1282.65030 Appl. Math. Comput. 219, No. 10, 5339-5344 (2013). MSC: 65D17 PDFBibTeX XMLCite \textit{C. Liu} et al., Appl. Math. Comput. 219, No. 10, 5339--5344 (2013; Zbl 1282.65030) Full Text: DOI
Yu, Ran; Meng, Zhaoliang; Luo, Zhongxuan A new strategy to construct embedded cubature formulae over two-dimensional regions. (English) Zbl 1289.65041 J. Math. Res. Appl. 33, No. 2, 142-154 (2013). MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{R. Yu} et al., J. Math. Res. Appl. 33, No. 2, 142--154 (2013; Zbl 1289.65041)
Luo, Zhongxuan; Wang, Qian Geometrically continuous interpolation in spheres. (English) Zbl 1274.65015 J. Math. Res. Appl. 32, No. 4, 379-391 (2012). MSC: 65D05 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{Q. Wang}, J. Math. Res. Appl. 32, No. 4, 379--391 (2012; Zbl 1274.65015) Full Text: DOI
Luo, Zhongxuan; Feng, Erbao; Hu, Wenyu Computing numerical singular points of plane algebraic curves. (English) Zbl 1265.65027 Commun. Math. Res. 28, No. 2, 146-158 (2012). MSC: 65D17 65H20 14Q05 68W30 65H04 65H10 PDFBibTeX XMLCite \textit{Z. Luo} et al., Commun. Math. Res. 28, No. 2, 146--158 (2012; Zbl 1265.65027)
Meng, Zhao-Liang; Luo, Zhong-Xuan The construction of numerical integration rules of degree three for product regions. (English) Zbl 1252.65063 Appl. Math. Comput. 218, No. 5, 2036-2043 (2011). MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{Z.-L. Meng} and \textit{Z.-X. Luo}, Appl. Math. Comput. 218, No. 5, 2036--2043 (2011; Zbl 1252.65063) Full Text: DOI
Luo, Zhongxuan; Hu, Wenyu; Feng, Erbao Computing curve intersection by homotopy methods. (English) Zbl 1252.65048 J. Comput. Appl. Math. 236, No. 5, 892-905 (2011). MSC: 65D18 65H20 PDFBibTeX XMLCite \textit{Z. Luo} et al., J. Comput. Appl. Math. 236, No. 5, 892--905 (2011; Zbl 1252.65048) Full Text: DOI
Luo, Zhongxuan; Liu, Fengshan; Shi, Xiquan On singularity of spline space over Morgan-Scott’s type partition. (English) Zbl 1240.65035 J. Math. Res. Expo. 30, No. 1, 1-16 (2010). MSC: 65D07 41A15 65D18 41A63 PDFBibTeX XMLCite \textit{Z. Luo} et al., J. Math. Res. Expo. 30, No. 1, 1--16 (2010; Zbl 1240.65035) Full Text: DOI
Peng, Xingxuan; Zhang, Jielin; Luo, Zhongxuan A data-dependent method of nonsingular self-adaptive triangulation. (English) Zbl 1199.65037 Numer. Math., Nanjing 31, No. 1, 9-31 (2009). MSC: 65D07 65D18 41A15 41A63 PDFBibTeX XMLCite \textit{X. Peng} et al., Numer. Math., Nanjing 31, No. 1, 9--31 (2009; Zbl 1199.65037)
Chen, Lijuan; Luo, Zhongxuan Cubic spline interpolation on a class of triangulations. (English) Zbl 1199.65020 Northeast. Math. J. 24, No. 3, 219-232 (2008). MSC: 65D05 65D07 65D18 PDFBibTeX XMLCite \textit{L. Chen} and \textit{Z. Luo}, Northeast. Math. J. 24, No. 3, 219--232 (2008; Zbl 1199.65020)
Luo, Zhongxuan; Meng, Zhaoliang; Liu, Fengshan Construction of cubature formulae with preassigned nodes. (English) Zbl 1141.65017 Appl. Anal. 87, No. 2, 233-245 (2008). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{Z. Luo} et al., Appl. Anal. 87, No. 2, 233--245 (2008; Zbl 1141.65017) Full Text: DOI
Luo, Zhongxuan; Wang, Renhong Structure and dimension of multivariate spline space of lower degree on arbitrary triangulation. (English) Zbl 1097.65026 J. Comput. Appl. Math. 195, No. 1-2, 113-133 (2006). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{R. Wang}, J. Comput. Appl. Math. 195, No. 1--2, 113--133 (2006; Zbl 1097.65026) Full Text: DOI
Luo, Zhongxuan; Peng, Xingxuan A \(C^{1}\)-rational spline in range restricted interpolation of scattered data. (English) Zbl 1101.65013 J. Comput. Appl. Math. 194, No. 2, 255-266 (2006). Reviewer: Catterina Dagnino (Torino) MSC: 65D07 65D17 65D05 41A15 41A20 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{X. Peng}, J. Comput. Appl. Math. 194, No. 2, 255--266 (2006; Zbl 1101.65013) Full Text: DOI
Luo, Zhongxuan; Meng, Zhaoliang The invariant factors of bivariate orthogonal polynomial and numerical integration formulas. (English) Zbl 1106.65310 Chin. J. Numer. Math. Appl. 27, No. 3, 79-90 (2005); translation from Math. Numer. Sin. 27, No. 2, 199-208 (2005). MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{Z. Meng}, Chin. J. Numer. Math. Appl. 27, No. 3, 79--90 (2005; Zbl 1106.65310); translation from Math. Numer. Sin. 27, No. 2, 199--208 (2005)
Zhang, Limei; Luo, Zhongxuan A class of new curve subdivision scheme. (Chinese. English summary) Zbl 1068.65037 Numer. Math., Nanjing 26, No. 2, 186-192 (2004). MSC: 65D18 65D17 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{Z. Luo}, Numer. Math., Nanjing 26, No. 2, 186--192 (2004; Zbl 1068.65037)
Feng, Renzhong; Wang, Renhong; Luo, Zhongxuan The relationship between weights and control vertices of two rational NURBS curves representing the same curve parametrically and geometrically. (English) Zbl 1032.41009 Northeast. Math. J. 19, No. 1, 68-74 (2003). Reviewer: Kai Diethelm (Braunschweig) MSC: 41A20 41A10 41A15 65D17 68U07 PDFBibTeX XMLCite \textit{R. Feng} et al., Northeast. Math. J. 19, No. 1, 68--74 (2003; Zbl 1032.41009)
Luo, Xiaonan; Nie, Hui; Li, Yi; Luo, Zhongxuan Recurrence surfaces on arbitrary quadrilateral mesh. (English) Zbl 1001.65017 J. Comput. Appl. Math. 144, No. 1-2, 221-232 (2002). MSC: 65D17 PDFBibTeX XMLCite \textit{X. Luo} et al., J. Comput. Appl. Math. 144, No. 1--2, 221--232 (2002; Zbl 1001.65017) Full Text: DOI
Luo, Zhongxuan; Wang, Renhong Rational shape functions for \(C^ 1\)-interpolation on quadrilaterals. (English) Zbl 0865.65004 Comput. Math. Appl. 32, No. 9, 55-66 (1996). Reviewer: H.Guggenheimer (West Hempstead) MSC: 65D17 65D07 65N30 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{R. Wang}, Comput. Math. Appl. 32, No. 9, 55--66 (1996; Zbl 0865.65004) Full Text: DOI
Luo, Z. X. Algebraic-geometry foundation for constructing smooth interpolants on curved sides element. (English) Zbl 0841.41009 J. Comput. Math. 13, No. 4, 343-350 (1995). Reviewer: G.Walz (Mannheim) MSC: 41A15 65D17 41A05 PDFBibTeX XMLCite \textit{Z. X. Luo}, J. Comput. Math. 13, No. 4, 343--350 (1995; Zbl 0841.41009)
Luo, Zhongxuan; Wang, Renhong A nodal basis of \(C^ \mu\)-rational spline functions on triangulations. (English) Zbl 0873.41013 Approximation Theory Appl. 10, No. 4, 13-24 (1994). Reviewer: E.Quak (Oslo) MSC: 41A15 41A20 65D17 41A63 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{R. Wang}, Approximation Theory Appl. 10, No. 4, 13--24 (1994; Zbl 0873.41013)
Luo, Zhongxuan; Wang, Renhong Geometric continuity between adjacent rational patches. (Chinese. English summary) Zbl 0807.65013 Numer. Math., Nanjing 16, No. 2, 97-106 (1994). Reviewer: Wang Cheng-Shu (Denver) MSC: 65D17 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{R. Wang}, Numer. Math., Nanjing 16, No. 2, 97--106 (1994; Zbl 0807.65013)
Luo, Zhongxuan; Wang, Renhong \(C^1\)-smooth interpolants on curved sides element. II. (Chinese. English summary) Zbl 0906.65004 J. Dalian Univ. Technol. 34, No. 2, 197-202, 206 (1994). MSC: 65D05 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{R. Wang}, J. Dalian Univ. Technol. 34, No. 2, 197--202, 206 (1994; Zbl 0906.65004)
Luo, Zhongxuan; Su, Zhixun Some blending interpolation methods in CAGD. (English) Zbl 0842.65008 Numer. Math., J. Chin. Univ. 2, No. 2, 195-209 (1993). MSC: 65D17 65D05 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{Z. Su}, Numer. Math., J. Chin. Univ. 2, No. 2, 195--209 (1993; Zbl 0842.65008)
Luo, Zhongxuan; Wang, Renhong Classes of bases of \(C^1\)-rational splines over triangulation. (Chinese. English summary) Zbl 0903.65010 J. Dalian Univ. Technol. 33, No. 6, 621-627 (1993). MSC: 65D07 41A15 41A20 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{R. Wang}, J. Dalian Univ. Technol. 33, No. 6, 621--627 (1993; Zbl 0903.65010)