录用待发表

[1]     高钦姣, 张胜刚*, 谢风媛, 朱春钢, 基于MQ 拟插值的Sine-Gordon方程自适应保辛数值解法,计算机辅助几何设计与图形学学报.

[2]     Yue Zhang, Chun-Gang Zhu*, Degenerations of NURBS curves while all of weights approaching infinity, Japan Journal of Industrial and Applied Mathematics, doi: 10.1007/s13160-018-0301-4.

 

2018年

[3]     Han Wang, Chun-Gang Zhu*, The number of regular control curves of NURBS curve, in: Proceedings of the Computer Graphics International Conference (CGI 2018), Bintan, Indonesia, June 11-14, 2018. ISBN 978-1-4503-6401-0, ACM, New York, NY, USA, Pages 41-50.

[4]     Yue Zhang, Zhi-Qiang Jia, Chun-Gang Zhu*, Error bounds for polynomial minimization over the hypercube-simploids, Pacific Journal of Optimization, 14, (2) (2018), 193-210.

[5]     李敬改, 陈秋阳, 韩佳琦, 黄奇立, 朱春钢*,一类特殊基函数构造的参数曲线, 计算机科学. 45(3) (2018), 46-50.

[6]     Han Wang, Chun-Gang Zhu*, Regular Decomposition in Integer Programming, Journal of Mathematical Research with Applications. 38 (2) (2018), 194-206.

[7]     Mingzeng Liu*; Baojun Li,; Qingjie Guo,; Chungang Zhu,; Ping Hu, Yuanhai Shao, Progressive iterative approximation for regularized least square bivariate B-spline surface fitting, Journal of Computational and Applied Mathematics 327 (2018) 175–187.

[8]     Cai-Yun Li*, Chun-Gang Zhu, G1 continuity of four pieces of developable surfaces with Bezier boundaries, Journal of Computational and Applied Mathematics, 329 (2018) 164-172.

[9]     Han Wang, Chun-Gang Zhu*, Xuan-Yi Zhao, The number of regular control surfaces of toric patches, Journal of Computational and Applied Mathematics, 329(2018) 280-293.

[10] Jinming Wu*, Chungang Zhu, The maximum number and its distribution of singular points for parametric piecewise algebraic curves, Journal of Computational and Applied Mathematics. 329 (2018) 322–330.

[11] Jiang Qian*, Fan Wang, Chungang Zhu, Scattered data interpolation based upon bivariate recursive polynomials, Journal of Computational and Applied Mathematics 329 (2018) 223–243.

 

2017年

[12] Hui Wang, Chun-Gang Zhu*, Cai-Yun Li, Construction of B-spline surface from cubic B-spline asymptotic quadrilateral, Journal of Advanced Mechanical Design, Systems, and Manufacturing, special issue on ACDDE 2016,  11 (4) (2017), JAMDSM0044.

[13] 王慧, 朱春钢*, 李彩云, 插值有理Bézier渐近四边形的有理Bézier曲面, 《计算机辅助设计与图形学报》, 29(8) (2017), 1497-1504.

[14] Yue Zhang, Chun-Gang Zhu*, Qing-Jie Guo, Degenerations of Rational Bézier Surface with Weights in the Form of Exponential Function, Applied Mathematics-A Journal of Chinese Universities Series B, 2017, 32(2): 164-182.

[15] Yue Zhang, Chun-Gang Zhu*, Qing-Jie Guo, On the limits of NURBS surfaces with varying weights, Advances in Mechanical Engineering, 2017, 9(5) 1–16, https://doi.org/10.1177/1687814017700547.

[16] Xuan-Yi Zhao, Chun-Gang Zhu*, Han Wang, Geometric conditions of non-self-intersections of NURBS surface, Applied Mathematics and Computation, 310 (2017) 89-96.

[17] Cai-Yun Li, Chun-Gang Zhu*, The classification of bi-quintic parametric polynomial minimal surfaces, Appl. Math. J. Chinese Univ. 2017, 32(1): 14-26.

[18] Hui Wang, Chungang Zhu*, Caiyun Li, Identication and Hermite interpolation of planar sextic Pythagorean-hodograph curves, Journal of Mathematical Research with Applications. 2017, Vol. 37, No. 1, pp. 59-72.

[19] Rengui Yu *, Chungang Zhu, Xianmin Hou, Li Yin, Quasi-interpolation operators of bivariate quintic spline space and their applications, Mathematical and Computational Applications, Special Issue "Information and Computational Science", Math. Comput. Appl. 2017, 22(1), 10; doi:10.3390/mca22010010.

[20] 吴金明，张雨，张晓磊，朱春钢, 连续区间上积分值的偶次样条插值, 系统科学与数学 (CM2017专刊)， 2017 Vol. 37 (10): 2085-2094.

 

2016年

[21] Xuan-Yi Zhao, Chun-Gang Zhu*, Injectivity of NURBS curves, Journal of Computational and Applied Mathematics, 302 (2016) 129-138.

[22] Lan-Yin Sun, Chun-Gang Zhu*, Approximation of Minimal Toric Bezier Patch, Advances in Mechanical Engineering, June 2016 vol. 8 no. 6 1687814016654667.

[23] 张跃, 朱春钢*, 郭庆杰, 具有指数函数形式权因子的有理Bézier曲线退化,《计算机辅助设计与图形学学报》, Vol. 28, No. 12, 2016, 2067-2074。

[24] 张 骥, 朱春钢*, 冯仁忠, 刘明明，张恒洋，一种改进的B样条翼型参数化方法,，图学学报，, 2016 Vol. 37 (3): 342-348.

[25] 王慧，朱春钢*，李彩云, 六次PH曲线G2 Hermite插值,《图学学报》, 2016 Vol. 37 (2): 155-165.

[26] 李彩云*, 项昕，朱春钢，插值曲率线的直纹面可展设计,《中国图像图形学报》，21(4) (2016), 527-531.

[27] 张丽娜, 孔雨秋, 李淑华, 刘秀平*, 曹俊杰, 朱春钢, 基于通勤距离的显著性检测方法, 计算机辅助设计与图形学学报, 2016 , 28 ( 3 ): 395-403.

 

2015年

[28] Chun-Gang Zhu*, Bao-Yu Xia, A family of bivariate rational Bernstein operators, Applied Mathematics and Computation, 258 (2015), 162-171.

[29] Cai-Yun Li; Chun-Gang Zhu*; Ren-Hong  Wang, Spacelike developable surfaces through a common line of curvature in Minkowski 3-space, Journal of Advanced Mechanical Design, Systems and Manufacturing (Proc. ACDDE 2014)，Vol.9, No.4, 2015: JAMDSM0050. Article ID: 14-0050.

[30] Xuan-Yi Zhao, Chun-Gang Zhu*, Self-intersections of Rational B\'{e}zier Surface, Computers & Graphics (Proc. SMI 2015), Volume 51, 2015, 17-25.

[31] Lan-Yin Sun, Chun-Gang Zhu*, G^1 Continuity between Toric Surface Patches, Computer Aided Geometric Design(Proc. GMP 2015), vol. 35-36 (2015) pp. 255-267.

[32] 李彩云, 朱春钢*, 王仁宏, 插值特殊曲线的曲面造型研究, <中国科学：数学>，“庆贺徐利治教授95华诞专辑”， 2015年，45卷，第9期，1441-1456。

[33] 尹乐平, 张跃, 朱春钢*,二次NURBS 曲线的退化曲线, <图学学报>, 36(2), 2015,186-192.

 

2014年

[34] Chun-Gang Zhu*, Xuan-Yi Zhao, Self-intersections of Rational Bezier Curves, Graphical Models(Proc. GMP 2014), 76(5) (2014) pp. 312-320.

[35]  R.H. Wang, Q.J. Guo*, C.G. Zhu, Multivariate Spline Approximation of the Signed Distance Function, Journal of Computational and Applied Mathematics, special issue on Trends in Computation. 265 (2014), 276-289.

[36] 孙兰银，朱春钢*，数据拟合的toric曲面方法，数值计算与计算机应用, 35(4) 2014, 297-304.

[37] 韩晓旭, 孙兰银, 朱春钢*, 构造多管道过渡曲面的toric曲面方法, 计算机辅助设计与图形学学报, 2014,26(10):1639-1645.

[38] 钱江*, 王仁宏, 朱春钢, 王凡,二元三次样条空间$S_{3}^{1,2}(\Delta_{mn}^{(2)})$的样条拟插值,《中国科学：数学》,几何设计与计算专辑, 44(7)(2014), 769-778.

 

2013年

[39] C.Y. Li, R.H. Wang, C.G. Zhu*, An approach for designing a developable surface through a given line of curvature, Computer-Aided Design, 45 (3) (2013), 621-627.

[40] C.Y. Li, R.H. Wang, C.G. Zhu*, A generalization of surface family with common line of curvature, Applied Mathematics and Computation, 219 (17) (2013), 9500-9507.

[41] C.Y. Li, R.H. Wang, C.G. Zhu*, Designing approximation minimal surfaces with geodesics, Appl. Math. Model., 37 (9) (2013), 6415-6424.

[42] R.G. Yu*, R.H. Wang, C.G. Zhu, A numerical method for solving KdV equation with multilevel B-spline quasi-interpolation，Applicable Analysis, 92 ( 8 ) pp. 1682 - 1690 .

[43] R.G. Yu*, R.H. Wang, C.G. Zhu, A numerical method for solving KdV equation with blended B-spline quasi-interpolation，Journal of Information & Computational Science 10(16) (2013) 5093–5101.

[44] 朱春钢*, 杨莉, 赵轩艺, 夏宝玉，有理Bézier曲线的自交点，计算机辅助设计与图形学学报，2013年，第25卷，第5期，738-744.

 

2012年

[45] C.G. Zhu *, Degenerations of toric ideals and toric varieties, Journal of Mathematical Analysis and Applications, 386(2)(2012), 613-618 .

[46] C.G. Zhu*, R.H. Wang, Algebra-geometry of piecewise algebraic varieties, Acta Mathematica Sinica, English Series, 28(10)(2012) ,1973-1980.

[47] C.G. Zhu *, Some properties of the quasi-cross-cut partition and the dimension of bivariate continuous spline space, Ars Combinatoria, 105 (2012), 355-360

[48] H.Y. Liu, C.G. Zhu*, C.Y. Li, Constructing N-sided toric surface patches from boundary curves, J. Information and Comput. Sci., 9(3)(2012), 737-743.

 

2011年

[49] C.G. Zhu *，R. H. Wang, The correspondence between multivariate spline ideals and piecewise algebraic varieties, Journal of Computational and Applied Mathematics, 236 (5) (2011), 793-800.

[50] Luis David Garcia-Puente, Frank Sottile*, Chungang Zhu, Toric degenerations of Bezier patches, ACM Transaction on Graphics, 30(5) (2011), Article 110, 10 pages. Presented at SIGGRAPH 2013

[51] C.Y. Li, R.H. Wang, C.G. Zhu*, Parametric representation of a surface pencil with a common spatial line of curvature, Computer-Aided Design, 43(9) (2011), 1110-1117.

[52] C.Y. Li, R.H. Wang, C.G. Zhu*, Design and G1 connection of developable surfaces through Bezier geodesics, Applied Mathematics and Computation, 218(7) (2011), 3199-3208.

[53] B. Guo, R.H. Wang, C.G. Zhu*, A note on multi-step difference scheme, Journal of Computational and Applied Mathematics, 236 (5) (2011), 647-652. 

[54] R.H. Wang, M. Li*, C.G. Zhu*, Some research on the relation among CSC method, box-spline and hyperplane arrangement, Journal of Computational and Applied Mathematics, 236 (5) (2011) , 775-781.

[55] K. Qu*, R.H. Wang, C.G. Zhu, Fitting C^1 surfaces to scattered data with S^1_2 (\Delta^{(2)}_{m,n}), Journal of Computational Mathematics, 29(4)(2011), 396-414.

[56] Z.W. Jiang*, R.H. Wang, C.G. Zhu, Min Xu, High accuracy multiquadric quasi-interpolation, Appl. Math. Modeling, 35 (5) (2011), 2185-2195.

[57] R.G. Yu*, R.H. Wang, C.G. Zhu, Curve interpolation with length constraint in a discrete manner, J. Information and Comput. Sci., 8(6) (2011), 859-868.

[58] M.L Xiao, R.H. Wang, C.G. Zhu*, Applying multiquadric quasi-interpolation to solve KdV equation, Journal of Mathematical Research & Exposition, 31(2)(2011), 191-201.

 

2010年

[59] C.G. Zhu*, R.H. Wang, Geometric interpolants with different degrees of smoothness, International Journal of Computer Mathematics, 87(9)(2010), 1907–1917.

[60] C.G. Zhu*, W.S. Kang, Numerical solution of Burgers-Fisher equation by cubic B-spline quasi-interpolation, Applied Mathematics and Computation, 216 (9) (2010) 2679–2686.

[61] C.Y. Li, C.G. Zhu*, A multilevel univariate cubic spline quasi-interpolation and application to numerical integration, Mathematical Methods in the Applied Sciences, 33(13)(2010), 1578-1586.

[62] C.G. Zhu*, W.S. Kang, Appling cubic B-spline quasi-interpolation to solve Hyperbolic Conservation Laws, University POLITEHNICA of Bucharest Scientific Bulletin Series D: Mechanical Engineering, 72(4)(2010), 49-58.

[63] 李彩云, 朱春钢*, 王仁宏, 参数曲线的分段近似隐式化, 高校应用数学学报,  25(2)(2010), 202-210.

 

2009年

[64] C.G. Zhu*, R.H. Wang, Numerical solution of Burgers' equation by cubic B-spline quasi-interpolation，Applied Mathematics and Computation, 208(1)(2009), 260-272.

[65] 朱春钢*, 王仁宏, 拟贯穿剖分上分片代数曲线的Nöther 型定理, 中国科学 A辑：数学, 39(1)(2009), 27-33. 英文版：C.G. Zhu*, R.H. Wang, Nöther-type theorem of piecewise algebraic curves on quasi-cross-cut partition, Science in China Series A: Mathematics, 52(4)(2009), 701-708.

[66] 朱春钢*, 王仁宏, 拟贯穿剖分上二元样条的Lagrange插值, 数学年刊A辑, 30A(2)(2009), 221-230. 英文版C.G. Zhu*, R.H. Wang, Lagrange interpolation by bivariate splines over quasi-cross-cut partitions, translation in Chinese J. Contemp. Math. 30(2) (2009), 175-184.

[67] 朱春钢*, 李彩云, 王仁宏，异度隐函数样条曲线曲面，计算机辅助设计与图形学学报, 21(7)( 2009), 930-935.

 

2008年

[68] 王仁宏、李崇君、朱春钢，《计算几何教程》，科学计算及其软件教学丛书，北京：科学出版社，2008.

[69] C.G. Zhu*, R.H. Wang, X. Shi, F. Liu, Functional splines with different degrees of smoothness and their applications, Computer-Aided Design, 40(5)(2008), 616-624.

[70] C.G. Zhu*, R.H. Wang, Some researches on real piecewise algebraic curves, Journal of Mathematical Research & Exposition, 28(2)(2008), 287-296.

 

2007年

[71] 朱春钢*, 王仁宏, 三角剖分上分片代数曲线的Nöther 型定理, 中国科学 A辑：数学, 37(4) (2007), 425-430. 英文版：C.G. Zhu*, R.H. Wang, Nöther-type theorem of piecewise algebraic curves on triangulation, Science in China Series A: Mathematics, 50(9)( 2007), 1227–1232.

[72] C.G. Zhu*, R.H. Wang, Least-squares fitting of piecewise algebraic curves, Mathematical Problems in Engineering, 2007(2007), Article ID 78702, 11 pages.

 

2006年

[73] C.G. Zhu*, R.H. Wang, Lagrange interpolation by bivariate splines on cross-cut partitions, Journal of Computational and Applied Mathematics, 195 (1-2) (2006), 326-340.

[74] C.G. Zhu*, R.H. Wang, Nöther-type theorem and its application, Journal of Information and Computational Science, 3 (2) (2006), 365-372.

[75] 朱春钢, 二元线性样条函数插值, 应用数学, 19(3) (2006), 575-579.

 

2005年

[76] C.G. Zhu*, R.H. Wang, Piecewise semialgebraic sets, Journal of Computational Mathematics, 23 (5) (2005), 503-512.

[77] C.G. Zhu*, R.H. Wang, Geometric Hermite interpolation for space curves by B-spline, 软件学报, 16 (4) (2005), 634-642.

 

2004年

[78] R.H. Wang, C.G. Zhu*, Cayley-Bacharach theorem of piecewise algebraic curves, Journal of Computational and Applied Mathematics, 163 (1) (2004), 269-276.

[79] R.H. Wang, C.G. Zhu*, Nöther-type theorem of piecewise algebraic curves, Progress in Natural Science, 14 (4) (2004), 309-313.

[80] R.H. Wang, C.G. Zhu*, Piecewise algebraic varieties, Progress in Natural Science, 14 (7) (2004), 568-572.

[81]  C.G. Zhu*, R.H. Wang, Real piecewise algebraic curves, Journal of Information and Computational Science, 1 (1) (2004),169-173.

 

2003年

[82]  王仁宏, 朱春钢, 实分片代数曲线的拓扑结构, 计算数学, 25(4) (2003),  505-512; 英文版：Chinese Journal of Numerical Mathematics and Applications, 26 (1) (2004), 89-100.