# zbMATH — the first resource for mathematics

## Wang, Renhong

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 Author ID: wang.renhong Published as: Wang, R. H.; Wang, R.-H.; Wang, Ren Hong; Wang, Ren-Hong; Wang, Ren-hong; Wang, RenHong; Wang, Renhong
 Documents Indexed: 205 Publications since 1975, including 4 Books
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#### Co-Authors

 18 single-authored 26 Zhu, Chungang 14 Chui, Charles Kam-tai 13 Li, Chongjun 10 Shi, Xiquan 10 Zheng, Chengde 9 Luo, Zhongxuan 9 Xu, Zhiqiang 7 Lai, Yisheng 7 Wu, Jinming 7 Xu, Min 6 He, Tianxiao 5 Lang, Feng-Gong 5 Zhang, Xiaolei 4 Dan, Wei 4 Fang, Qin 4 Feng, Renzhong 4 Hao, Yongxia 4 Li, Caiyun 4 Lu, You 4 Wang, Shaofan 4 Zhou, Heng 3 Jiang, Ziwu 3 Luo, Xiaonan 3 Qian, Jiang 3 Zhao, Guohui 2 Chang, Jincai 2 Du, Weiping 2 Gao, Feng 2 Gong, Dianxuan 2 Guo, Qingjie 2 Li, Junbin 2 Li, Mian 2 Li, Ning 2 Liu, Xiuping 2 Schumaker, Larry L. 2 Shi, Limin 2 Tan, Jieqing 2 Wang, Jingxin 2 Wong, Roderick Sue-Chuen 2 Wu, Shuntang 2 Yin, Baocai 2 Zhang, Jihong 2 Zhou, Jianping 1 Bai, Fenglan 1 Chen, Juan 1 Chou, Y. S. 1 Cui, Lihong 1 Du, Hong 1 Gao, Feng 1 Guo, Benqi 1 Guo, Bing 1 Heng, Zhou 1 Hu, Jinyan 1 Jiang, Lei 1 Kong, Dehui 1 Li, Chunjing 1 Li, Li 1 Li, Wei 1 Liang, Xuezhang 1 Liu, Mingzeng 1 Liu, Wenhai 1 Liu, Xiaoyan 1 Liu, Zhiping 1 Lu, Xuguang 1 Ma, Heping 1 Oyanagi, Yoshio 1 Qi, Tao 1 Qu, Kai 1 Qu, Rongning 1 Su, Loyung 1 Su, Zhixun 1 Sun, Jingnan 1 Teo, Kok Lay 1 van Damme, Ruud 1 Wang, Ruomei 1 Wang, Shaoming 1 Wang, Shoucheng 1 Wang, Wenju 1 Wang, Wubao 1 Wong, Yau Shu 1 Wu, Zongmin 1 Xiao, Minlu 1 Xu, Yan 1 Xu, Yan 1 Xu, Yan 1 Yu, Ren-Gui 1 Zhang, Jielin 1 Zhang, Ming 1 Zhang, Shao-Liang 1 Zheng, Junsheng
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#### Serials

 30 Journal of Computational and Applied Mathematics 18 Journal of Mathematical Research & Exposition 12 Journal of Computational Mathematics 11 Applied Mathematics and Computation 8 Computers & Mathematics with Applications 8 Numerical Mathematics 6 Science in China. Series A 5 Journal of Mathematical Analysis and Applications 5 Northeastern Mathematical Journal 5 Journal of Dalian University of Technology 4 Mathematica Applicata 3 Applied Numerical Mathematics 3 Approximation Theory and its Applications 3 Applied Mathematical Modelling 3 Acta Mathematica Sinica. English Series 3 Science China. Mathematics 3 Journal of Mathematical Research with Applications 2 Acta Mathematica Sinica 2 BIT 2 Mathematica Numerica Sinica 2 International Journal of Computer Mathematics 2 Scientia Sinica. Series A 2 Kexue Tongbao 2 Numerical Mathematics 2 Chinese Journal of Numerical Mathematics and Applications 2 Progress in Natural Science 2 Journal of Software 1 Applicable Analysis 1 Journal of the Franklin Institute 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Computing 1 Journal of Approximation Theory 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 Utilitas Mathematica 1 Acta Mathematicae Applicatae Sinica 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series A 1 Chinese Annals of Mathematics. Series B 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Numerical Algorithms 1 Journal of Approximation Theory and its Applications 1 Applied Mathematics. Series A (Chinese Edition) 1 Applied Mathematics. Series B (English Edition) 1 Computational and Applied Mathematics 1 Journal on Numerical Methods and Computer Applications 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Chinese Quarterly Journal of Mathematics 1 Far East Journal of Applied Mathematics 1 RIMS Kokyuroku 1 Journal of Mathematical Study 1 Journal of Liaoning Normal University. Natural Science Edition 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics and Computing 1 Communications in Mathematical Sciences 1 Analysis in Theory and Applications 1 Journal of Lanzhou University of Technology 1 AMS/IP Studies in Advanced Mathematics 1 Numerical Mathematics: Theory, Methods and Applications
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#### Fields

 126 Numerical analysis (65-XX) 115 Approximations and expansions (41-XX) 26 Algebraic geometry (14-XX) 7 General and overarching topics; collections (00-XX) 6 Computer science (68-XX) 5 Partial differential equations (35-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Commutative algebra (13-XX) 3 Combinatorics (05-XX) 3 Ordinary differential equations (34-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH

123 Publications have been cited 677 times in 326 Documents Cited by Year
The structural characterization and interpolation for multivariate splines. Zbl 0358.41004
Wang, Ren-hong
1975
Multivariate spline spaces. Zbl 0526.41027
Chui, Charles K.; Wang, Ren-Hong
1983
Numerical solution of Burgers’ equation by cubic B-spline quasi-interpolation. Zbl 1159.65087
Zhu, Chun-Gang; Wang, Ren-Hong
2009
On smooth mulivariate spline functions. Zbl 0542.41008
Chui, Charles K.; Wang, Ren-Hong
1983
On a bivariate B-spline basis. Zbl 0559.41010
Chui, Charles K.; Wang, Renhong
1984
A new 8-node quadrilateral spline finite element. Zbl 1096.65018
Li, Chong-Jun; Wang, Ren-Hong
2006
A novel numerical scheme for solving Burgers’ equation. Zbl 1207.65111
Xu, Min; Wang, Ren-Hong; Zhang, Ji-Hong; Fang, Qin
2011
The Bézout number for piecewise algebraic curves. Zbl 0933.65017
Shi, Xiquan; Wang, Renhong
1999
Numerical solution of one-dimensional Sine-Gordon equation using high accuracy multiquadric quasi-interpolation. Zbl 1242.65163
Jiang, Zi-Wu; Wang, Ren-Hong
2012
Multivariate spline and algebraic geometry. Zbl 0960.41008
Wang, Renhong
2000
The dimension and basis of spaces of multivariate splines. Zbl 0578.41017
Wang, Ren Hong
1985
Spaces of bivariate cubic and quartic splines on type-1 triangulations. Zbl 0597.41013
Chui, Charles K.; Wang, Renhong
1984
Nöther-type theorem of piecewise algebraic curves. Zbl 1083.14525
Wang, Renhong; Zhu, Chungang
2004
Cayley-Bacharach theorem of piecewise algebraic curves. Zbl 1070.14034
Wang, Renhong; Zhu, Chungang
2004
Concerning $$C^ 1$$ B-splines on triangulations of non-uniform rectangular partition. Zbl 0596.41016
Chui, Charles K.; Wang, Renhong
1984
A kind of improved univariate multiquadric quasi-interpolation operators. Zbl 1189.65028
Wang, Ren-Hong; Xu, Min; Fang, Qin
2010
Real zeros of the zero-dimensional parametric piecewise algebraic variety. Zbl 1177.14096
Lai, YiSheng; Wang, RenHong; Wu, JinMing
2009
An iterative algorithm of NURBS interpolation and approximation. Zbl 1128.65014
Shi, Limin; Wang, Renhong
2006
On spaces of piecewise polynomials with boundary conditions. III. Type-2 triangulations. Zbl 0598.41014
Chui, C. K.; Schumaker, L. L.; Wang, R. H.
1983
Robustness of orthogonal matching pursuit under restricted isometry property. Zbl 1307.65021
Dan, Wei; Wang, Renhong
2014
A numerical method for solving KdV equation with multilevel B-spline quasi-interpolation. Zbl 1308.65148
Yu, Ren-Gui; Wang, Ren-Hong; Zhu, Chun-Gang
2013
The Nöther and Riemann-Roch type theorems for piecewise algebraic curve. Zbl 1115.14054
Lai, Yi-Sheng; Wang, Ren-Hong
2007
Lagrange interpolation by bivariate splines on cross-cut partitions. Zbl 1097.65023
Zhu, Chungang; Wang, Renhong
2006
Piecewise algebraic varieties. Zbl 1083.14526
Wang, Renhong; Zhu, Chungang
2004
Piecewise algebraic curve. Zbl 1005.65021
Wang, Renhong; Lai, Yisheng
2002
Multivariate spline functions and their applications. Translated from the 1994 Chinese original by Shao-Ming Wang and revised by the author. Zbl 1002.41001
Wang, Ren-Hong
2001
On spaces of piecewise polynomials with boundary conditions. II. Type-1 triangulations. Zbl 0598.41013
Chui, C. K.; Schumaker, L. L.; Wang, R. H.
1983
Multivariate B-splines on triangulated rectangles. Zbl 0523.41008
Chui, Charles K.; Wang, Ren-Hong
1983
Designing approximation minimal parametric surfaces with geodesics. Zbl 1426.65026
Li, Cai-Yun; Wang, Ren-Hong; Zhu, Chun-Gang
2013
Design and $$G^{1}$$ connection of developable surfaces through Bézier geodesics. Zbl 1276.65013
Li, Cai-Yun; Wang, Ren-Hong; Zhu, Chun-Gang
2011
Solving parametric piecewise polynomial systems. Zbl 1251.65075
Lai, Yisheng; Wang, Renhong; Wu, Jinming
2011
Eulerian numbers: a spline perspective. Zbl 1226.11028
Wang, Renhong; Xu, Yan; Xu, Zhiqiang
2010
Real piecewise algebraic variety. Zbl 1080.14547
Wang, Renhong; Lai, Yisheng
2003
Analysis of a 6-point binary subdivision scheme. Zbl 1244.65021
Hao, Yong-Xia; Wang, Ren-Hong; Li, Chong-Jun
2011
High accuracy multiquadric quasi-interpolation. Zbl 1217.65030
Jiang, Zi-Wu; Wang, Ren-Hong; Zhu, Chun-Gang; Xu, Min
2011
Nöther-type theorem of piecewise algebraic curves on quasi-cross-cut partition. Zbl 1177.14076
Zhu, ChunGang; Wang, RenHong
2009
Piecewise semialgebraic sets. Zbl 1084.14058
Zhu, Chungang; Wang, Renhong
2005
Quasi-interpolating operators and their applications in hypersingular integrals. Zbl 0920.65007
Wang, Renhong; Lu, You
1998
The $$C^ 1$$-quadratic spline space on triangulations. Zbl 0697.41006
Wang, Renhong; Wang, Wubao; Wang, Shaoming; Shi, Xiquan
1988
The $$C^ 2$$ quartic spline space on a four-directional mesh. Zbl 0685.41009
Chui, C. K.; He, T. X.; Wang, R. H.
1987
The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece. Zbl 1273.14124
Lai, Yisheng; Du, Weiping; Wang, Renhong
2012
Approximate implicitization based on RBF networks and MQ quasi-interpolation. Zbl 1165.41306
Wang, Renhong; Wu, Jinming
2007
Some researches on trivariate Lagrange interpolation. Zbl 1095.41002
Liang, Xue-Zhang; Wang, Ren-Hong; Cui, Li-Hong; Zhang, Jie-Lin; Zhang, Ming
2006
Bivariate quartic spline spaces and quasi-interpolation operators. Zbl 1088.41011
Wang, Ren-Hong; Li, Chong-Jun
2006
Estimation of the Bezout number for piecewise algebraic curve. Zbl 1084.65014
Wang, Renhong; Xu, Zhiqiang
2003
The generalization of Pascal’s theorem and Morgan-Scott’s partition. Zbl 1042.51012
Shi, Xiquan; Wang, Renhong
2003
An introduction to the piecewise algebraic curve. Zbl 0942.65501
Wang, Renhong; Zhao, Guohui
1997
Bases of bivariate splines spaces with cross-cut grid partitions. Zbl 0486.41007
Chui, Charles K.; Wang, Ren-hong
1982
Isolating the real roots of the piecewise algebraic variety. Zbl 1165.14317
Zhang, Xiaolei; Wang, Renhong
2009
Approximate implicitization of parametric surfaces by using compactly supported radial basis functions. Zbl 1165.53308
Wu, Jinming; Wang, Renhong
2008
Real root isolation of spline functions. Zbl 1174.65006
Wang, Renhong; Wu, Jinming
2008
Recent researches on multivariate spline and piecewise algebraic variety. Zbl 1152.41009
Wang, Ren-Hong
2008
Structure and dimension of multivariate spline space of lower degree on arbitrary triangulation. Zbl 1097.65026
Luo, Zhongxuan; Wang, Renhong
2006
The dimensions of bivariate spline spaces over triangulations. Zbl 0608.41009
Chou, Y. S.; Su, Lo-Yung; Wang, R. H.
1985
Asymptotic properties of $$B$$-splines, Eulerian numbers and cube slicing. Zbl 1232.41011
Xu, Yan; Wang, Ren-Hong
2011
On branched continued fractions rational interpolation over pyramid-typed grids. Zbl 1191.65009
Wang, Renhong; Qian, Jiang
2010
Intersection points algorithm for piecewise algebraic curves based on Groebner bases. Zbl 1176.65019
Lang, Feng-Gong; Wang, Ren-Hong
2009
Least squares fitting of piecewise algebraic curves. Zbl 1143.65317
Zhu, Chun-Gang; Wang, Ren-Hong
2007
Nöther-type theorem of piecewise algebraic curves on triangulation. Zbl 1125.14017
Zhu, Chungang; Wang, Renhong
2007
Multivariate spline space over cross-cut partition. Zbl 1125.41007
Wang, Ren-Hong; Lang, Feng-Gong
2007
A kind of multivariate NURBS surfaces. Zbl 1046.65014
Wang, Renhong; Li, Chongjun
2004
Quasi-interpolations with interpolation property. Zbl 1048.65012
Wang, Renhong; Wang, Jingxin
2004
Stieltjes type theorems for orthogonal polynomials of two variables. Zbl 1025.42012
Luo, Zhong-xuan; Wang, Ren-hong
2002
Curve interpolation with constrained length. Zbl 0817.41015
van Damme, R.; Wang, R.-H.
1995
An integral method for constructing bivariate spline functions. Zbl 0698.65006
Wang, Renhong; He, Tianxiao; Liu, Xiaoyan; Wang, Shoucheng
1989
A kind of cubic $$C^ 1$$-interpolations in the $$n$$-dimensional finite element method. Zbl 0782.41009
Wang, Renhong; Shi, Xiquan
1989
Interpolation by bivariate linear splines. Zbl 0622.41003
Chui, C. K.; He, T. X.; Wang, R. H.
1987
Bivariate cubic B-splines relative to cross-cut triangulations. Zbl 0567.41013
Chui, Charles K.; Wang, Renhong
1983
On the problem of instability in the dimensions of spline spaces over T-meshes with T-cycles. Zbl 1340.65018
Guo, Qingjie; Wang, Renhong; Li, Chongjun
2015
Preface. Current trends and progresses in scientific computation – dedicated to Professor Ben-yu Guo on his 70th birthday. Zbl 1293.00015
Wang, Renhong (ed.); Wong, Roderick S. (ed.); Guo, Benqi (ed.); Ma, Heping (ed.)
2014
An approximation method based on MRA for the quasi-Plateau problem. Zbl 1273.65026
Hao, Yong-Xia; Li, Chong-Jun; Wang, Ren-Hong
2013
Minimal quasi-Bézier surface. Zbl 1349.65074
Hao, Yong-Xia; Wang, Ren-Hong; Li, Chong-Jun
2012
The Bézout number of piecewise algebraic curves. Zbl 1274.14042
Gong, Dian Xuan; Wang, Ren Hong
2012
Algebra-geometry of piecewise algebraic varieties. Zbl 1257.14038
Zhu, Chun Gang; Wang, Ren Hong
2012
The Cayley-Bacharach theorem for continuous piecewise algebraic curves over cross-cut triangulations. Zbl 1225.41004
Wang, Renhong; Wang, Shaofan
2011
Estimate of the Bézout number for linear piecewise algebraic curves over arbitrary triangulations. Zbl 1294.05130
Wang, Shaofan; Wang, Renhong; Kong, Dehui; Yin, Baocai
2011
Bivariate polynomial and continued fraction interpolation over ortho-triples. Zbl 1286.65016
Wang, Ren-Hong; Qian, Jiang
2011
Improved Haar and Walsh functions over triangular domains. Zbl 1205.42028
Wang, Ren-Hong; Dan, Wei
2010
A fourth degree integration formula for the $$n$$-dimensional simplex. Zbl 1177.41028
Dan, Wei; Wang, Ren-Hong
2009
Special multivariate quadratic spline space. Zbl 1165.65314
Wang, Ren-Hong; Lang, Feng-Gong
2009
Numerical integration based on bivariate quartic quasi-interpolation operators. Zbl 1174.65347
Wang, Renhong; Zhang, Xiaolei
2007
Closed smooth surface defined from cubic triangular splines. Zbl 1067.65021
Feng, Renzhong; Wang, Renhong
2005
Algebraic approximants to exp($$z$$) and applications in construction of difference schemes of first order ODE. Zbl 1038.65060
Gao, Feng; Wang, Renhong
2004
Cubic Hermite-Padé approximation to the exponential function. Zbl 1059.41006
Wang, Renhong; Zheng, Chengde
2004
The multivariate quartic NURBS surfaces. Zbl 1048.65017
Li, Chongjun; Wang, Renhong
2004
The instability degree in the dimension of spaces of bivariate spline. Zbl 1008.41008
Xu, Zhiqiang; Wang, Renhong
2002
Multivariate weak spline function space. Zbl 1072.41501
Wang, Renhong; Xu, Zhiqiang
2002
Rational shape functions for $$C^ 1$$-interpolation on quadrilaterals. Zbl 0865.65004
Luo, Zhongxuan; Wang, Renhong
1996
Multivariate spline and its applications in science and technology. Zbl 0843.41008
Wang, Ren-Hong
1993
A generalization of univariate splines with equally spaced knots to multivariate splines. Zbl 0515.41011
Chui, Charles K.; Wang, Ren-Hong
1982
Real root classification of parametric spline functions. Zbl 1328.41001
Wu, Jinming; Wang, Renhong; Zhang, Xiaolei
2015
Numerical integration based on a multilevel quartic quasi-interpolation operator. Zbl 1364.65059
Wu, Jinming; Wang, Renhong; Zhang, Xiaolei
2014
The Viro method for construction of $$C^r$$ piecewise algebraic hypersurfaces. Zbl 07095240
Lai, Yisheng; Du, Weiping; Wang, Renhong
2013
The bases of the non-uniform cubic spline space $$S_3^{1,2}(\Delta_{mn}^{(2)})$$. Zbl 1289.65021
Qian, Jiang; Wang, Renhong; Li, Chongjun
2012
Applying multiquadric quasi-interpolation to solve KdV equation. Zbl 1240.35496
Xiao, Minlu; Wang, Renhong; Zhu, Chungang
2011
A quasi-MQ EMD method for similarity analysis of DNA sequences. Zbl 1229.92036
Zhang, Jihong; Wang, Renhong; Bai, Fenglan; Zheng, Junsheng
2011
A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics. Zbl 1195.41004
Wang, Ren-Hong; Xu, Min
2010
The dimensions of spline spaces on quasi-rectangular meshes. Zbl 1199.65039
Wang, Renhong; Li, Chongjun; Chen, Juan
2008
On piecewise algebraic variety. Zbl 1169.14323
Wang, Ren-Hong
2008
Interval iterative algorithm for computing the piecewise algebraic variety. Zbl 1155.65334
Wang, Renhong; Zhang, Xiaolei
2008
On the problem of instability in the dimensions of spline spaces over T-meshes with T-cycles. Zbl 1340.65018
Guo, Qingjie; Wang, Renhong; Li, Chongjun
2015
Real root classification of parametric spline functions. Zbl 1328.41001
Wu, Jinming; Wang, Renhong; Zhang, Xiaolei
2015
Robustness of orthogonal matching pursuit under restricted isometry property. Zbl 1307.65021
Dan, Wei; Wang, Renhong
2014
Preface. Current trends and progresses in scientific computation – dedicated to Professor Ben-yu Guo on his 70th birthday. Zbl 1293.00015
Wang, Renhong (ed.); Wong, Roderick S. (ed.); Guo, Benqi (ed.); Ma, Heping (ed.)
2014
Numerical integration based on a multilevel quartic quasi-interpolation operator. Zbl 1364.65059
Wu, Jinming; Wang, Renhong; Zhang, Xiaolei
2014
A numerical method for solving KdV equation with multilevel B-spline quasi-interpolation. Zbl 1308.65148
Yu, Ren-Gui; Wang, Ren-Hong; Zhu, Chun-Gang
2013
Designing approximation minimal parametric surfaces with geodesics. Zbl 1426.65026
Li, Cai-Yun; Wang, Ren-Hong; Zhu, Chun-Gang
2013
An approximation method based on MRA for the quasi-Plateau problem. Zbl 1273.65026
Hao, Yong-Xia; Li, Chong-Jun; Wang, Ren-Hong
2013
The Viro method for construction of $$C^r$$ piecewise algebraic hypersurfaces. Zbl 07095240
Lai, Yisheng; Du, Weiping; Wang, Renhong
2013
Numerical solution of one-dimensional Sine-Gordon equation using high accuracy multiquadric quasi-interpolation. Zbl 1242.65163
Jiang, Zi-Wu; Wang, Ren-Hong
2012
The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece. Zbl 1273.14124
Lai, Yisheng; Du, Weiping; Wang, Renhong
2012
Minimal quasi-Bézier surface. Zbl 1349.65074
Hao, Yong-Xia; Wang, Ren-Hong; Li, Chong-Jun
2012
The Bézout number of piecewise algebraic curves. Zbl 1274.14042
Gong, Dian Xuan; Wang, Ren Hong
2012
Algebra-geometry of piecewise algebraic varieties. Zbl 1257.14038
Zhu, Chun Gang; Wang, Ren Hong
2012
The bases of the non-uniform cubic spline space $$S_3^{1,2}(\Delta_{mn}^{(2)})$$. Zbl 1289.65021
Qian, Jiang; Wang, Renhong; Li, Chongjun
2012
A novel numerical scheme for solving Burgers’ equation. Zbl 1207.65111
Xu, Min; Wang, Ren-Hong; Zhang, Ji-Hong; Fang, Qin
2011
Design and $$G^{1}$$ connection of developable surfaces through Bézier geodesics. Zbl 1276.65013
Li, Cai-Yun; Wang, Ren-Hong; Zhu, Chun-Gang
2011
Solving parametric piecewise polynomial systems. Zbl 1251.65075
Lai, Yisheng; Wang, Renhong; Wu, Jinming
2011
Analysis of a 6-point binary subdivision scheme. Zbl 1244.65021
Hao, Yong-Xia; Wang, Ren-Hong; Li, Chong-Jun
2011
High accuracy multiquadric quasi-interpolation. Zbl 1217.65030
Jiang, Zi-Wu; Wang, Ren-Hong; Zhu, Chun-Gang; Xu, Min
2011
Asymptotic properties of $$B$$-splines, Eulerian numbers and cube slicing. Zbl 1232.41011
Xu, Yan; Wang, Ren-Hong
2011
The Cayley-Bacharach theorem for continuous piecewise algebraic curves over cross-cut triangulations. Zbl 1225.41004
Wang, Renhong; Wang, Shaofan
2011
Estimate of the Bézout number for linear piecewise algebraic curves over arbitrary triangulations. Zbl 1294.05130
Wang, Shaofan; Wang, Renhong; Kong, Dehui; Yin, Baocai
2011
Bivariate polynomial and continued fraction interpolation over ortho-triples. Zbl 1286.65016
Wang, Ren-Hong; Qian, Jiang
2011
Applying multiquadric quasi-interpolation to solve KdV equation. Zbl 1240.35496
Xiao, Minlu; Wang, Renhong; Zhu, Chungang
2011
A quasi-MQ EMD method for similarity analysis of DNA sequences. Zbl 1229.92036
Zhang, Jihong; Wang, Renhong; Bai, Fenglan; Zheng, Junsheng
2011
A kind of improved univariate multiquadric quasi-interpolation operators. Zbl 1189.65028
Wang, Ren-Hong; Xu, Min; Fang, Qin
2010
Eulerian numbers: a spline perspective. Zbl 1226.11028
Wang, Renhong; Xu, Yan; Xu, Zhiqiang
2010
On branched continued fractions rational interpolation over pyramid-typed grids. Zbl 1191.65009
Wang, Renhong; Qian, Jiang
2010
Improved Haar and Walsh functions over triangular domains. Zbl 1205.42028
Wang, Ren-Hong; Dan, Wei
2010
A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics. Zbl 1195.41004
Wang, Ren-Hong; Xu, Min
2010
Numerical solution of Burgers’ equation by cubic B-spline quasi-interpolation. Zbl 1159.65087
Zhu, Chun-Gang; Wang, Ren-Hong
2009
Real zeros of the zero-dimensional parametric piecewise algebraic variety. Zbl 1177.14096
Lai, YiSheng; Wang, RenHong; Wu, JinMing
2009
Nöther-type theorem of piecewise algebraic curves on quasi-cross-cut partition. Zbl 1177.14076
Zhu, ChunGang; Wang, RenHong
2009
Isolating the real roots of the piecewise algebraic variety. Zbl 1165.14317
Zhang, Xiaolei; Wang, Renhong
2009
Intersection points algorithm for piecewise algebraic curves based on Groebner bases. Zbl 1176.65019
Lang, Feng-Gong; Wang, Ren-Hong
2009
A fourth degree integration formula for the $$n$$-dimensional simplex. Zbl 1177.41028
Dan, Wei; Wang, Ren-Hong
2009
Special multivariate quadratic spline space. Zbl 1165.65314
Wang, Ren-Hong; Lang, Feng-Gong
2009
Approximate implicitization of parametric surfaces by using compactly supported radial basis functions. Zbl 1165.53308
Wu, Jinming; Wang, Renhong
2008
Real root isolation of spline functions. Zbl 1174.65006
Wang, Renhong; Wu, Jinming
2008
Recent researches on multivariate spline and piecewise algebraic variety. Zbl 1152.41009
Wang, Ren-Hong
2008
The dimensions of spline spaces on quasi-rectangular meshes. Zbl 1199.65039
Wang, Renhong; Li, Chongjun; Chen, Juan
2008
On piecewise algebraic variety. Zbl 1169.14323
Wang, Ren-Hong
2008
Interval iterative algorithm for computing the piecewise algebraic variety. Zbl 1155.65334
Wang, Renhong; Zhang, Xiaolei
2008
The Nöther and Riemann-Roch type theorems for piecewise algebraic curve. Zbl 1115.14054
Lai, Yi-Sheng; Wang, Ren-Hong
2007
Approximate implicitization based on RBF networks and MQ quasi-interpolation. Zbl 1165.41306
Wang, Renhong; Wu, Jinming
2007
Least squares fitting of piecewise algebraic curves. Zbl 1143.65317
Zhu, Chun-Gang; Wang, Ren-Hong
2007
Nöther-type theorem of piecewise algebraic curves on triangulation. Zbl 1125.14017
Zhu, Chungang; Wang, Renhong
2007
Multivariate spline space over cross-cut partition. Zbl 1125.41007
Wang, Ren-Hong; Lang, Feng-Gong
2007
Numerical integration based on bivariate quartic quasi-interpolation operators. Zbl 1174.65347
Wang, Renhong; Zhang, Xiaolei
2007
A new 8-node quadrilateral spline finite element. Zbl 1096.65018
Li, Chong-Jun; Wang, Ren-Hong
2006
An iterative algorithm of NURBS interpolation and approximation. Zbl 1128.65014
Shi, Limin; Wang, Renhong
2006
Lagrange interpolation by bivariate splines on cross-cut partitions. Zbl 1097.65023
Zhu, Chungang; Wang, Renhong
2006
Some researches on trivariate Lagrange interpolation. Zbl 1095.41002
Liang, Xue-Zhang; Wang, Ren-Hong; Cui, Li-Hong; Zhang, Jie-Lin; Zhang, Ming
2006
Bivariate quartic spline spaces and quasi-interpolation operators. Zbl 1088.41011
Wang, Ren-Hong; Li, Chong-Jun
2006
Structure and dimension of multivariate spline space of lower degree on arbitrary triangulation. Zbl 1097.65026
Luo, Zhongxuan; Wang, Renhong
2006
Piecewise semialgebraic sets. Zbl 1084.14058
Zhu, Chungang; Wang, Renhong
2005
Closed smooth surface defined from cubic triangular splines. Zbl 1067.65021
Feng, Renzhong; Wang, Renhong
2005
The poisedness of interpolation problem for splines. Zbl 1071.41004
Wang, Renhong; Wang, Jingxin
2005
Nöther-type theorem of piecewise algebraic curves. Zbl 1083.14525
Wang, Renhong; Zhu, Chungang
2004
Cayley-Bacharach theorem of piecewise algebraic curves. Zbl 1070.14034
Wang, Renhong; Zhu, Chungang
2004
Piecewise algebraic varieties. Zbl 1083.14526
Wang, Renhong; Zhu, Chungang
2004
A kind of multivariate NURBS surfaces. Zbl 1046.65014
Wang, Renhong; Li, Chongjun
2004
Quasi-interpolations with interpolation property. Zbl 1048.65012
Wang, Renhong; Wang, Jingxin
2004
Algebraic approximants to exp($$z$$) and applications in construction of difference schemes of first order ODE. Zbl 1038.65060
Gao, Feng; Wang, Renhong
2004
Cubic Hermite-Padé approximation to the exponential function. Zbl 1059.41006
Wang, Renhong; Zheng, Chengde
2004
The multivariate quartic NURBS surfaces. Zbl 1048.65017
Li, Chongjun; Wang, Renhong
2004
The structural characterization and locally supported bases for bivariate super splines. Zbl 1063.41006
Xu, Zhiqiang; Wang, Renhong
2004
4th degree algebraic Hermite-Padé approximation to the exponential function. Zbl 1047.41013
Zheng, Chengde; Wang, Renhong
2004
Real piecewise algebraic variety. Zbl 1080.14547
Wang, Renhong; Lai, Yisheng
2003
Estimation of the Bezout number for piecewise algebraic curve. Zbl 1084.65014
Wang, Renhong; Xu, Zhiqiang
2003
The generalization of Pascal’s theorem and Morgan-Scott’s partition. Zbl 1042.51012
Shi, Xiquan; Wang, Renhong
2003
On a family of multivariate least-squares orthogonal polynomials. Zbl 1047.41014
Zheng, Chengde; Wang, Renhong
2003
Discrete truncated powers and lattice points in rational polytope. Zbl 1090.11064
Wang, Renhong; Xu, Zhiqiang
2003
Multivariate spline and geometry. Zbl 1027.65029
Wang, Ren-Hong
2003
On computational geometry. Zbl 1027.65028
Wang, Ren-Hong
2003
Smooth spline surfaces over arbitrary topological triangular meshes. Zbl 1023.68110
Feng, Ren-Zhong; Wang, Ren-Hong
2003
Piecewise algebraic curve. Zbl 1005.65021
Wang, Renhong; Lai, Yisheng
2002
Stieltjes type theorems for orthogonal polynomials of two variables. Zbl 1025.42012
Luo, Zhong-xuan; Wang, Ren-hong
2002
The instability degree in the dimension of spaces of bivariate spline. Zbl 1008.41008
Xu, Zhiqiang; Wang, Renhong
2002
Multivariate weak spline function space. Zbl 1072.41501
Wang, Renhong; Xu, Zhiqiang
2002
A geometric approach to $$\dim S_2^1(\Delta_{MS})$$. Zbl 1008.41009
Du, Hong; Shi, Xiquan; Wang, Renhong
2002
Spline space and its B-splines on an $$n+1$$ direction mesh in $${\mathbb R}^n$$. Zbl 0998.41001
Shi, Xiquan; Wang, Renhong
2002
On the dimension for multivariate weak spline function spaces. Zbl 1078.41013
Xu, Zhiqiang; Wang, Renhong
2002
Multivariate spline functions and their applications. Translated from the 1994 Chinese original by Shao-Ming Wang and revised by the author. Zbl 1002.41001
Wang, Ren-Hong
2001
Some properties about crossing cut. Zbl 1005.41001
Xu, Zhiqiang; Wang, Renhong
2001
Mirakvyan singular integral operators and approximation of unbounded continuous functions. Zbl 0997.45009
Zheng, Chengde; Wang, Renhong
2001
Multivariate spline and algebraic geometry. Zbl 0960.41008
Wang, Renhong
2000
The Bézout number for piecewise algebraic curves. Zbl 0933.65017
Shi, Xiquan; Wang, Renhong
1999
Resultant algorithm for the intersection points of piecewise algebraic curves. Zbl 0933.65018
Wang, Wenju; Wang, Renhong; Liu, Xiuping
1999
Quasi-interpolating operators and their applications in hypersingular integrals. Zbl 0920.65007
Wang, Renhong; Lu, You
1998
An introduction to the piecewise algebraic curve. Zbl 0942.65501
Wang, Renhong; Zhao, Guohui
1997
Rational shape functions for $$C^ 1$$-interpolation on quadrilaterals. Zbl 0865.65004
Luo, Zhongxuan; Wang, Renhong
1996
On piecewise algebraic curves. Zbl 1273.41031
Wang, Ren-Hong
1996
Curve interpolation with constrained length. Zbl 0817.41015
van Damme, R.; Wang, R.-H.
1995
A nodal basis of $$C^ \mu$$-rational spline functions on triangulations. Zbl 0873.41013
Luo, Zhongxuan; Wang, Renhong
1994
Decomposition method for studying multivariate splines. Zbl 0804.65014
Shi, Xiquan; Wang, Renhong
1994
Multivariate spline and its applications in science and technology. Zbl 0843.41008
Wang, Ren-Hong
1993
On interpolating multivariate rational splines. Zbl 0774.41014
Wang, Renhong; Tan, Jieqing
1993
$$S^\mu_{\mu+1}$$ surface interpolations over triangulations. Zbl 0939.41510
Wang, Ren Hong; Shi, Xi-Quan
1990
...and 23 more Documents
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#### Cited by 480 Authors

 49 Wang, Renhong 17 Zhu, Chungang 15 Li, Chongjun 13 Dagnino, Catterina 13 Wu, Jinming 10 Luo, Zhongxuan 9 Lamberti, Paola 9 Remogna, Sara 9 Zhang, Xiaolei 8 Lai, Yisheng 7 Chen, Juan 6 Chui, Charles Kam-tai 6 Lang, Feng-Gong 5 Gao, Wenwu 5 Lin, Hongwei 5 Sablonnière, Paul 4 Cen, Song 4 Fu, Xiangrong 4 Hu, Ping 4 Liang, Xuezhang 4 Shi, Xiquan 4 Tan, Jieqing 4 Wu, Zongmin 4 Zhang, Jielin 3 Chen, Wanji 3 Chen, Wengu 3 Chen, Xiaoming 3 Cui, Lihong 3 Dahmen, Wolfgang A. 3 Du, Weiping 3 Feng, Renzhong 3 Gao, Qinjiao 3 Hong, Don 3 Jiwari, Ram 3 Kukreja, Vijay Kumar 3 Kumar, Rakesh 3 Meng, Zhaoliang 3 Micchelli, Charles A. 3 Sun, Zhengjie 3 Wang, Guozhao 3 Wang, Shaoming 3 Yang, Huogen 3 Zeilfelder, Frank 3 Zhang, Li 2 Ahmad, Daud 2 Alavi, Javad 2 Aminikhah, Hossein 2 Arora, Shelly 2 Baccouch, Mahboub 2 Billera, Louis J. 2 Cao, Huanxin 2 Chen, Lijuan 2 Costarelli, Danilo 2 Dan, Wei 2 Demichelis, Vittoria 2 Deng, Jiansong 2 Dipasquale, Michael R. 2 Fang, Shaomei 2 Ganaie, Ishfaq Ahmad 2 Ge, HuanMin 2 Gong, Dianxuan 2 Guo, Changhong 2 Guo, Qingjie 2 Guo, Yan 2 He, Tianxiao 2 Hu, Gang 2 Jüttler, Bert 2 Kazem, Saeed 2 Lamnii, M. 2 Li, Caiyun 2 Li, Chenfeng 2 Li, Xiaolin 2 Li, Yi 2 Liu, Huan-Wen 2 Liu, Huanwen 2 Luo, Xiaonan 2 Luo, Xiaopeng 2 Masud, Bilal 2 Mittal, Ramesh Chand 2 Mustafa, Ghulam 2 Nürnberger, Günther 2 Parand, Koroush 2 Peng, Xingxuan 2 Peters, Jorg 2 Pittaluga, Giovanna 2 Qian, Jiang 2 Rad, Jamal Amani 2 Sacripante, Laura 2 Santi, Elisabetta 2 Sbibih, Driss 2 Schenck, Hal 2 Shi, Yufeng 2 Sorokina, Tatyana 2 Sottile, Frank 2 Villatoro, Francisco R. 2 Vinti, Gianluca 2 Wang, Changsheng 2 Wang, Shaofan 2 Wang, Tianjun 2 Wei, Guo ...and 380 more Authors
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#### Cited in 95 Serials

 66 Journal of Computational and Applied Mathematics 35 Applied Mathematics and Computation 21 Computers & Mathematics with Applications 17 Computer Aided Geometric Design 9 Journal of Approximation Theory 8 Mathematics and Computers in Simulation 7 Journal of Mathematical Analysis and Applications 7 BIT 6 Science in China. Series A 6 Numerical Algorithms 6 Science China. Mathematics 5 Applied Numerical Mathematics 5 Computational and Applied Mathematics 4 Applicable Analysis 4 Computer Physics Communications 4 Transactions of the American Mathematical Society 4 Applied Mathematical Modelling 4 Mathematical Problems in Engineering 4 Abstract and Applied Analysis 4 Acta Mechanica Sinica 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 Advances in Applied Mathematics 3 Applied Mathematics and Mechanics. (English Edition) 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 European Journal of Mechanics. A. Solids 3 Acta Mathematica Sinica. English Series 3 Journal of Applied Mathematics 3 Advances in Difference Equations 2 Journal of the Franklin Institute 2 International Journal for Numerical Methods in Engineering 2 Numerische Mathematik 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Applied Mathematics Letters 2 Engineering Analysis with Boundary Elements 1 Computer Methods in Applied Mechanics and Engineering 1 Discrete Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Calcolo 1 Computing 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the Korean Mathematical Society 1 Journal of Multivariate Analysis 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Circuits, Systems, and Signal Processing 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Journal of Complexity 1 Constructive Approximation 1 Discrete & Computational Geometry 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Multidimensional Systems and Signal Processing 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computer Mathematics 1 Journal of Mathematical Imaging and Vision 1 Applied and Computational Harmonic Analysis 1 Advances in Computational Mathematics 1 Integral Transforms and Special Functions 1 Journal of Mathematical Chemistry 1 Journal of Inequalities and Applications 1 Journal of Shanghai University 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Engineering Computations 1 Journal of Systems Science and Complexity 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Journal of Applied Mathematics and Computing 1 Thai Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems and Imaging 1 Algorithms 1 Advances in Numerical Analysis 1 International Journal of Differential Equations 1 Journal of Mathematics and Computer Science. JMCS 1 Arabian Journal of Mathematics 1 ISRN Computational Mathematics 1 Axioms 1 Mathematical Sciences 1 International Journal of Partial Differential Equations 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 SMAI Journal of Computational Mathematics 1 SN Operations Research Forum
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#### Cited in 41 Fields

 232 Numerical analysis (65-XX) 126 Approximations and expansions (41-XX) 45 Partial differential equations (35-XX) 23 Algebraic geometry (14-XX) 16 Mechanics of deformable solids (74-XX) 11 Computer science (68-XX) 10 Commutative algebra (13-XX) 9 Ordinary differential equations (34-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Information and communication theory, circuits (94-XX) 7 Integral equations (45-XX) 7 Fluid mechanics (76-XX) 6 Differential geometry (53-XX) 5 Combinatorics (05-XX) 5 Special functions (33-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Biology and other natural sciences (92-XX) 4 Number theory (11-XX) 4 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 4 Operations research, mathematical programming (90-XX) 2 Category theory; homological algebra (18-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)