王仁宏

大连理工大学数学科学研究所所长

王仁宏，1937年出生，江西南昌人。1959年毕业于吉林大学数学系并留校任教至1989年调到大连理工大学，现任大连理工大学教授，博士生导师，数学科学研究所所长，大连市数学会理事长。

人物简介

王仁宏 1937年生，江西南昌人。现任大连理工大学数学科学学院教授，博士生导师。曾任国务院学位委员会第三、四届学科（数学）评议组成员，中国数学会常务理事，中国计算数学学会常务理事，教育部数学学科规划组成员，教育部科技委数学物理学部委员，美国《数学评论》评论员，大连市数学会理事长, 大连理工大学数学科学研究所所长。 1959年毕业于吉林大学数学系并留吉林大学任教至1989年调到大连理工大学。现任国际杂志《Journal of Computational and Applied Mathematics》(Elsevier出版社)编委、《Advances in Adaptive Data Analysis: Theory and Applications》(World Scientific出版社) 编委；《Computational Technologies》(Published by Institute of Computational Technologies, SB, Russia Academy of Sciences) 编委; 《数学研究与评论》杂志主编；《分析：理论及其应用》、《计算数学》(1993--2013) 、《高校计算数学学报》、《高校应用数学学报》、《大连理工大学学报》等杂志编委。《科学计算及其软件丛书》(科学出版社) 编委和《研究生数学丛书》(北京大学出版社)编委等。在国内外发表论文200多篇，著作10部。奠定了多元样条的理论基础，并给出了普遍适用的“光滑余因子方法”。该成果被国际上称为“王定理”。美国国家科学院院士 de Boor 称王仁宏为多元样条的“开拓先驱”。王仁宏及其合作者被国际名家G.G. Lorentz誉为“多元样条研究的国际三大主流学派之一”。王仁宏在无界函数逼近方面的工作也获得了国际认可。王仁宏曾应邀在美国加州理工学院、IBM公司Thomas J. Watson研究中心、东京大学、罗马大学等美、加、德、日、意、法、荷、比、芬、科及香港地区讲演80多次。王仁宏多次出席国际学术会议并作大会邀请报告、会议主席和学术委员会委员等。王仁宏曾获国家自然科学三等奖（1982），国家国防科工委国防科学技术一等奖（1999），国家教育委员会科技进步二等奖（1988，1997），教育部全国普通高校优秀教材一等奖（2002）。王仁宏是吉林省劳动模范(1979)，《冯康科学计算奖》评委会成员，还应邀多次为《Kyoto 奖》举荐候选人。

个人履历

1989.11- 大连理工大学数学科学研究所　所长，教授，博士生导师

1983.07-1989.10 吉林大学数学系教授

1978.11-1983.06 吉林大学数学系副教授

1959.08-1978.11 吉林大学数学系助教

2002.11- 国防科技大学客座教授

2002.10- 沈阳工业大学客座教授

2002.07.28-08.11 日本大学，北海道大学访问教授

2001.12- 中山大学教授（兼职）

2001.08- 哈尔滨工业大学数学系客座教授

2001.01- 厦门大学数学系客座教授

2001.02.19-03.18 香港理工大学应用数学系访问教授

1999.02.11-02.25 科威特科威特大学数学系访问教授

1996.11.21-12.20 香港城市大学访问学者

1996.11.01-11.20 受日本学术振兴会(JSPS)资助访问东京大学、早稻田大学、京都大学、筑波大学、名古屋大学、鹿儿岛大学

1995.8 - 东北大学客座教授

1995.1 香港中文大学数学系访问学者

1993.10-1993.11 意大利Torino大学数学系访问教授

1993.09-1993.10 意大利Milano大学数学系访问教授

1993.7 - 西安电子科技大学客座教授

1993.3 - 南昌大学客座教授

1992.5 -1992.6 法国Nantes大学数学系客座教授

1991.11-1992.5 荷兰Twente大学应用数学系客座教授

1990.11-1990.12 日本名古屋大学情报工学科客座教授

1990.5 -1990.6 芬兰科学院Nevanlinna数学研究所数值分析年客座科学家

1990.3 - 吉林大学客座教授

1986.2 - 合肥工业大学客座教授

1984.8 -1985.5 美国Texas A&M大学数学系访问教授

1981.6 -1982.11 美国Texas A&M大学数学系访问学者

1981.4 -1981.5 美国Texas大学（Austin）数学系访问学者

社会职务

社会兼职

◆职务

大连市数学会名誉理事长

中国数学会常务理事（1996-1999；2000-）

中国计算数学学会常务理事（1996-1999）

国务院学位委员会数学学科评议组成员（1992-1997；1998-2002）

教育部数学学科规划组成员（1983）

教育部科学技术委员会数学物理学部委员（2000-2004）

冯康奖评委

美国《数学评论》评论员（1980-1981）

为Kyoto奖推荐候选人

◆学术刊物编委：

《Journal of Computational and Applied Mathematics》（Elsevier 出版社）编委

《Advances in Adaptive Data Analysis: Theory and Applications》

（Word Scientific 出版社）编委

《计算数学》编委

《分析理论及应用》编委

《高等学校计算数学学报》编委

《高等学校应用数学学报》编委

《数学研究与评论》主编

《大连理工大学学报》编委

《科学计算及其软件教学丛书》（科学出版社）编委

《研究生数学丛书》（北京大学出版社）编委

出版著作

1. Numerical Rational Approximation, Shanghai Science-Technology Press, Shanghai, 1980.

2. Approximation of Unbounded Functions, Science Press, Beijing, 1983.

3. (With L.C. Hsu and Y.S. Zhou) Theory and Method for Approximation of Functions, Shanghai Science-Technology Press, Shanghai, 1983.

4. (with X.Z. Liang) Approximation of Multivariate Functions, Science Press, Beijing, 1988.

5. Multivariate Spline Functions and Their Applications, Science Press, Beijing, 1994.

7. Numerical Approximation, Higher Education Press, Beijing, 1999.

10. (with C.J. Li and C.G. Zhu) A Course of Computational Geometry, Science Press, Beijing, 2008.

◆ 发表论文：

1. 王仁宏, 对 Mirakiyan著“一个近似过程的收敛性研究”一文的某些评论及注记, 吉林大学自然科学学报, No.2 (1962), 119-122.

2. 徐利治、王仁宏, 扩展乘数法与无界函数的多项式逼近(I), 吉林大学自然科学学报, No.2 (1963), 61-79.

3. 徐利治、王仁宏,扩展乘数法与无界函数的多项式逼近(II), 吉林大学自然科学学报, No.2 (1963), 375-385.

4. R.H. Wang, Approximation of non-bounded continuous functions by some singular integrals, Mathematica(Cluj), Vol.5 (28), 1 (1963), 131-136.

5. 王仁宏, 在全平面上用变形的Landau 多项式和Bernstein 多项式逼近无界连续函数的渐近估计, 吉林大学自然科学学报, No.2 (1963), 537-547.

6. 王仁宏, 一类三角多项式对某些多元周期函数的逼近性质, 吉林大学自然科学学报, No.3 (1963), 173-179.

7. R.H. Wang, Approximation of unbounded functions by modified Landau and Bernstein polynomials on the whole plane, Dokl. Acad. Nauk USSR. Vol.150, No.6 (1963), 1195-1197.

8. L.C. Hsu, R.H. Wang, General “Enlargement multiplier” methods and approximation of unbounded continuous functions by certain concrete polynomial operators, Dokl. Acad. Nauk USSR, Vol.156, No.2 (1964), 264-267.

9. 王仁宏, 高维欧氏空间上线性正算子对多元函数的逼近阶之渐近公式, 吉林大学自然科学学报, No.1 (1964), 1-16.

10. 王仁宏, 扩展乘数法与无界函数的多项式逼近(IV), 吉林大学自然科学学报, No.1 (1965), 31-43.

11. B.Z. Wang, R.H.Wang, A method for rational approximation, Acta Changchun Geology Institute, 1965.

12. 王仁宏、梁学章, 二元连续函数在某些多项式类上的一致逼近理论, 吉林大学自然科学学报, No.2 (1965), 1-10.

13. 朱天玉、王仁宏等, 分子积分近似计算的几点注记, 吉林大学自然科学学报, No.3 (1965), 9-14.

14. 王仁宏,连续函数的一类新的近似多项式, 吉林大学自然科学学报, 4 (1965), 109-116.

15. 王仁宏, 多元齿的结构与插值, 数学学报, 18 (1975), 91-106.

16. 王仁宏、吴顺唐, 关于有理 Spline函数, 吉林大学自然科学学报, No.1 (1978), 58-70.

17. 王仁宏、周蕴时、程少春, 一种光滑插值方法及其应用, 吉林大学自然科学学报, 2 (1978), 68-72.

18. 徐利治、王仁宏、周蕴时, 边界型求积公式的构造方法及应用, 计算数学, No.3 (1978), 54-75.

19. 王仁宏、有理逼近的理论与方法, 全国逼近会议论文集, 杭州大学出版社, 1978, 61-71.

20. 王仁宏,任意剖分下的多元样条分析,中国科学, 数学专辑(I) (1979), 215-226.

21. 王仁宏, 具有约束的有理逼近, 吉林大学自然科学学报, No.1 (1979), 19-25.

22. 王仁宏, Hermite-Fejer插值多项式的逼近阶, 科学通报, No.7 (1979), 292-295.

23. 王仁宏, 拟局部正线性算子与无界函数的逼近, 数学学报, 23 (1980), 163-176.

24. 王仁宏, 任意剖分下多元样条分析 (II), 高校计算数学学报, 1 (1980), 78-81.

25. 长春人卫站、吉林大学数学系(王仁宏执笔), 借助人造卫星轨道的摄动反求大气密度参数的一类方法,《空间物理文集》, 科学出版社, 1980, 137-156.

26. 吴顺唐、王仁宏,有理函数的一个插值问题, 高等学校计算数学学报, 2 (1981), 165-175.

27. C.K. Chui, R.H.Wang, Bases of bivariate spline spaces with cross-cut grid partitions, J. Math. Research and Exposition, 1(1982), 1-4.

28. C.K. Chui, R.H. Wang, A generalization of univariate splines with equally spaced knots to multivariate splines, J. Math. Research and Exposition, 2 (1982), 99-104.

29. C.K. Chui and R.H. Wang, Multivariate spline spaces, Jour. Math. Anal. Appl., 94 (1983), 197-221.

30. C.K. Chui, R.H. Wang, On smooth multivariate spline functions, Math. Comp., 41(1983), 131-142.

31. 何天晓、王仁宏, 具Chebyshev结点的 Hermite-Fejer 插值算子的渐近估计, 计算数学, 5 (1983), 260-266.

32. 何天晓、王仁宏, 具Jacobi结点的 Hermite-Fejer插值算子的渐近估计(II), 计算数学, 5 (1983).

33. C.K. Chui, R.H. Wang, Bivariate cubic B-splines relative to cross-cut triangulations, CAT Report,# 4, Texas A & M University, Sept. 1981., Chin. Ann. of Math., 4B (4) (1983), 509-523.

34. C.K. Chui, R.H. Wang, Multivariate B-splines on triangulated rectangles, Jour.Math.Anal.Appl., 92 (1983), 533-551.

35. C.K. Chui, L.L. Schumaker and R.H.Wang, On spaces of piecewise polynomials with boundary conditions II. Type-1 triangulations, Proc Edmonton Conf. Amer. Math. Soc., Vol.3 (1983), 51-66.

36. C.K. Chui, L.L. Schumaker and R.H. Wang, On spaces of piecewise polynomials with boundary conditions III. Type-2 triangulations, Proc. Edmonton Conf. Amer. Math. Soc., Vol.3 (1983), 67-80.

37. C.K. Chui, R.H.Wang, Bivariate B-splines on triangulated rectangles, in: Approx. Theory IV, ed. by C.K. Chui, L.L. Schumaker, and J.D. Ward, Academic Press, New York, 1983, 413-418.

38. C.K.Chui and R.H.Wang, Spaces of bivariate cubic and quartic splines on type-1 triangulations, Jour. Math. Anal. Appl., 101 (1984), 540-554.

39. 王仁宏、崔锦泰, 关于一个二元B样条基, 中国科学, A辑, 9 (1984), 784—795.(英文版：27 (1984), 1129-1142.)

40. R.H.Wang, S.T.Wu, On the rational spline functions, J.Math.Research and Exposition, Vol.4, No.2 (1984), 31-36.

41. C.K. Chui, R.H. Wang, Concerning C1 B-splines on triangulations of nonuniform rectanglar partition, J. Approx. Theory and its Appl., 1 (1984), 11-18.

42. R.H. Wang, The dimension and basis of spaces of multivariate splines, Journal of Computational and Applied Mathematics,Vol. 12 & 13 (1985) , 163-177.

43. 何天晓、王仁宏, 具 Tchebyshev 结点的 Hermite-Fejer 插值算子的渐近估计(III), 数值计算与计算机应用, 6 (1985), 1-7.

44. 王仁宏、何天晓, 不均匀第二型三角剖分下的带有边界条件的样条函数空间,科学通报, Vol. 30, No. 7 (1985), 858-861.

45. C.K. Chui, T.X. He and R.H. Wang, Interpolation by bivariate linear splines, Coll. Math. Soc. J. Bolyai 49. A. Haar Memorial Conference, Vol.I, II (Budapest, 1985), 247-255.

46. Y.S. Chou ,L.Y. Su and R.H.Wang, The dimension of bivariate spline spaces over triangulations,“Multivariate Approximation Theory III”(eds. W. Schempp and K. Zeller), (ISNM Series; Birkhauser, Basel-Boston-Stuttgart), 1985, 71—83.

47. R.H. Wang, T.X. He, A BASIS OF MULTIVARIATE SPLINE SPACE ON A QUASI-CROSS-CUT GRID PARTITION, SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 29 (7): 673-680 JUL 1986.

48. R.H. Wang, T.X. He, A basis of the space of bivariate splines with quasi cross-cut partition, Scientia Sinica, 29(1986), 673-680.

49. C.K. Chui, T.X. He and R.H. Wang, The C2 quartic space on a four-directional mesh, Approx. Theory & its Appl., 3:4 (1987), 32-36.

50. R.H. Wang, W.B. Wang, S.M. Wang and X.Q. Shi, The C1 quadratic spline space on triangulations, Math. Appl. Vol. 1 & 2 (1988), 123-131.

51. 王仁宏、卢旭光,关于三角剖分下二元样条空间的维数, 中国科学, A辑,6（1988）,585-594. (英文版：32(1989), 674-684.)

52. 王仁宏, 关于多元样条空间的维数, 科学通报, 6 (1988), 473-474.

53. 王仁宏、施锡泉, n维空间上的一类C1 插值有限元方法, 科学通报, 9 (1988), 7-16.

54. 施锡泉、王仁宏, 样条空间S12(Δmn), 科学通报, 22 (1988), 17-53.

55. 王仁宏, 关于多元逼近的某些问题, 河南大学学报(增刊)(全国第五届逼近论会议文集), 1988, 31-38.

56. 王仁宏、施锡泉, n维空间上的一类三次C1 插值有限元方法, 河南大学学报(增刊)(全国第五届逼近论会议文集), (1988), 173-179.

57. R.H. Wang, X.Q. Shi, A kind of cubic C1-interpolations in n-dimensional finite element method, KEXUE TONGBAO, 33 (19) (1988),16-57.

58. R.H. Wang, X.Q. Shi, A kind of cubic C1-interpolations in the n-dimensional finite element method, Jour. Math. Res. Exp., 9 (1989), 173-179.

59. R.H. Wang, T.X. He, X.Y. Liu and S.C. Wang, An integral method for constructing bivariate spline functions, Journal Comp. Math., 7 (1989), 244-261.

60. R.H. Wang, X.Q. Shi, surface interpolation over triangulations, in “Approximation, Optimization and Computing: Theory and Applications” (A.G.Law & C.L.Wang eds.), Elsevier Science Publishers B.V. (North-Holland), IMACS, 1990, 205-208.

61. X.Q. Shi, R.H. Wang, Geometric continuity on curves and surfaces, ibid, IMACS, 1990, 163-164.

62. 王仁宏、施锡泉、罗笑南、成万植、刘树元, 不同网点群的载荷转换计算, 工科数学, Vol. 6, No.3 (1990), 1-7.

65. Z.X. Luo, R.H. Wang, Structure and application of algebraic spline curves and surfaces, J. Math. Research & Exposition, 12(1992), 579-582.

66. R.H. Wang, Smooth curve and surface interpolation, Proc. Asian Math. Conf. 1990, Eds. Z.Li, K.P. Shum, C.C. Yang and L. Yang, World Scientific, 1992,474-477.

67. R.H. Wang, R.M.J. van Damme, Curve interpolation with constrained length, Tech. Report 1079, Dept. of Appl. Math., University of Twente, September 1992.

68. R.H. Wang, J.Q. Tan, On interpolating multivariate rational splines, Appl. Numer.Math., 12 (1993), 357-372.

69. 罗钟铉、王仁宏, 任意三角剖分下的C1-有理样条函数及基函数, 大连理工大学学报, Vol. 33, No 6 (1993), 621-627.

70. R.H. Wang, Multivariate spline and its applications in science and technology, Rendiconti del Seminario Matematico e Fisico di Milano, Vol.LXIII (1993), 213-229.

71. R.H. Wang, Non-linear approximation by spline functions, Proc. of the first China-Japan Seminar on “Numerical Mathematics” (eds. Z.C.Shi and T.Ushijima), 184-191, World Scientific, 1993.

72. (with X.N. Luo) Lagrange multiplier method for applying in engineering, Mathematics in Practice and Theory, No.2 (1993), 51-56.

73. X.Q. Shi, R.H. Wang, Decomposition method for studying multivariate splines, Journal of Math.Research & Exposition, 14 (1994), 215-216.

74. R.H. Wang, Approximation theory and spline function , Contemporary Mathematics, 163 (1994), 139-154.

75. (with Z.X. Luo) C1 smooth interpolation on the element with curved sides (II), Jour. Dalian Univ. Tech., Vol.34, No.2 (1994),-202.

76. Z.X.Luo, R.H.Wang, A nodal basis of Cμrational spline functions on triangulations, Approx. Theory & its Appl.,10:4 (1994), 13-24.

77. 罗钟铉、王仁宏, 有理曲面片的几何连续性条件,高等学校计算数学学报, 16 (1994), 97-106.

78. R.van Damme and R.H. Wang, Curve interpolation with constrained length, 54 (1995), 69-81.

79. 漆涛、王仁宏, 内网点连通剖分下网线的编号, 数学研究与评论, 16 (1996), 111-116.

80. (with X.N. Luo, R.M. Wang and Z.X. Su) The C1, C2 interpolating spline surfaces for designing complicated outlines, Math. Applic., 9 (3) (1996), 315-320.

81. R.H. Wang, On piecewise algebraic curves, in＞(eds.F.Fontanella,etc), World Scientific Pub.,1996, 354-361.

82. Z.X. Luo, R.H. Wang, Rational shape functions for C1-interpolation on quadrilat-erals, Computers Math. Applic. Vol.32, No.9(1996), 55-66.

83. R.H. Wang, G.H. Zhao, An introduction to the piecewise algebraic curve, Theory and Application for Scientific Computing, Institute for Mathematical Sciences, Kyoto University, Vol.2 (1997), 196-205.

84. R.H. Wang, Y. Lu, Quasi-interpolating operators and their applications in hypersingular integrals, Jour.Comp.Math.,16 (1998), 337-344.

85. R.H. Wang, Y. Lu., A Spline method for solving two-dimensional Fredholm integral equation of second kind with the hypersingular kernel, Proc. 3rd China-Japan Seminar on Numer.Math., eds.Z.C.Shi and M.Mori, Science Press, Beijing, 1998, 286-291.

86. 王仁宏、路游, 计算二维Cauchy主值积分的多元样条方法, 应用数学学报, 21 (1998), 627-633.

87. X.Q. Shi and R.H. Wang, The Bezout number for piecewise algebraic curves, BIT, 39 (1999), 339-349.

88. 王文举、王仁宏、刘秀平, 分片代数曲线交点的结式求法, 数学研究与评论, 1 (1999), 125-129.

89. 王仁宏、路游, 关于非均匀剖分下多元样条空间的拟插值算子, 高等学校计算数学学报, 2 (1999), 97-103.

90. 江雷、王仁宏, 矩形域与三角域Bezier曲面间的PPG变换, 计算数学, 21 (1999), 245--250.

91. R.H. Wang, Multivariate spline and algebraic geometry, Jour. Comp. Appl. Math., 121 (2000), 153-163.

92. 郑成德、王仁宏, 一类插值多项式算子与无界函数逼近, 应用数学与计算数学学报, 14 (2000), 84-88.

93. Shao-Liang Zhang, Ren-Hong Wang, Yoshio Oyanagi, Wei Li, A kind of bivariate cubic splines and related linear operators on type-1 triangulation, Jour. Indust. Appl. Math. , 17 (2000), 391-402.

94. 王仁宏、赵国辉, 构造非均匀剖分上局部支集样条函数的积分方法, 高等学校计算数学学报, 4 (2000), 301-304.

95. R.H. Wang, Y. Lu, A spline method for solving 2D Fredholm integral equation of second kind with the hypersingular kernel, Jour. Comp. Math., 2001, Vol.19, No.3, 225-230.

96. 李黎、王仁宏, 一种细分格式生成极限曲面的法向量的求法, 数学研究, 34 (1) (2001), 81-85.

97. R.H. Wang, What is computational geometry, AMS/IP Studies in Advanced Mathematics, Vol.20 (2001), 491-495.

98. 郑成德、王仁宏, Mirakyan奇异积分算子与无界连续函数逼近,高等学校计算数学学报, Vol.23, No.2 (2001), 97-100.

99. C.D. Zheng and R.H. Wang, On the method of multiplier-enlargement and approximation of unbounded continuous functions, Northeastern Math. Journal, 17 (2) (2001), 231-235.

100. 许志强、王仁宏, 贯穿剖分的若干性质, 高等学校计算数学学报, Vol.23, No.4 (2001), 289-292.

101. 王仁宏、胡金燕, 二次NURBS表示圆弧的方法, 大连理工大学学报, Vol.41, No.6 (2001), 640-643.

102. R.H. Wang and Y.S. Lai, Piecewise algebraic curves, Jour. Comp. Appl. Math., 144 (2002), 277-289.

103. Z.Q. Xu and R.H. Wang, On the dimension for multivariate weak spline function spaces, Jour. Math. Research & Exposition, Vol.22, No.1 (2002), 7-12.

104. Z.X. Luo and R.H. Wang, Stieltjes type theorems for orthogonal polynomials of two variables, Jour. Math. Anal. Appl., 268 (2002), 171-183.

105. R.H. Wang and Z.Q. Xu, Multivariate weak spline function space, Jour. Comp. Appl. Math., 144 (2002), 291-299.

106. X.Q. Shi and R.H. Wang, Spline space and its B-splines on an n+1 direction mesh in Rn, Jour. Comp. Appl. Math., 144 (2002), 241-250.

107. Z.Q. Xu and R.H. Wang, The instablity degree in the dimension of spaces of bivariate spline, Approx. Theory & Its Appl., 18:1(2002), 68-80.

108. H. Du, X.Q. Shi and R.H. Wang, A geometric approach to S21(△ms) , Journal of Systems Science and Complexity, Vol.15. No.2 (2002), 202-204.

109. R.H. Wang and Y.S. Lai, Piecewise algebraic variety, 第五届中日计算数学讨论会,论文集.

110. C.D. Zheng, R.H. Wang, On a new family of Pade-type approximants in multivariables, PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS: 1321-1323 2002.

111. 王仁宏、许志强, 分片代数曲线Bezout数的估计, 中国科学(A辑), 33 (2) (2003), 185-192.（英文版：(46)2003, 710-717.）

112. R.Z. Feng, R.H. Wang and Z.X. Luo, The relationship between weights and control vertices of two rational NURBS curves representing the same curve parametrically and gormetrically, Northeastern Math. Journal, 19 (1) (2003), 68-74.

113. 冯仁忠、王仁宏, 在任意拓扑三角形网格上的光滑样条曲面,软件学报, 14 (4) (2003), 830-837.

114. (with Z.Q. Xu) The estimates of Bezout numbers for the piecewise algebraic curves, Science in China (Series A), 33 (2) (2003), 185-192 (in Chinese); Vol.46, No.5 (2003), 710-717(in English).

115. (with W.H. Liu) An approach to NURBS surface shape modification, Math. Applic., 2 (2003), 110-115.

116. (with C.D. Zheng) On approximation of unbounded continuous functions, Chinese Quarterly Journal of Mathematics, 18 (1) (2003), 44-48.

117. (with Y.S. Lai) Real piecewise algebraic variety, Jour. Comp. Math., Vol.21, No.4 (2003), 473-480.

118. (with C.D. Zheng) On a family of multivariate least-squares orthogonal polynomials, Numerical Mathematics ( A Jour. of Chinese Univ.), Vol.12, No.1 (2003), 51-58.

119. (with J.N. Sun) On the algorithms for degree elevation of B-spline curves, Jour. of Dalian Univ. of Tech., 43 (4)(2003), 397-398, 406.

120. (with R.Z.Feng) G2 continuous conditions between cubic B-spline curves, Jour. of Dalian Univ. of Tech., 43 (4) (2003), 407-411.

121. (with H.Zhou) Chebyshev’s maximum principle in several variables, Jour. Approx. Theory, 123 (2003), 276-279.

122. On computational geometry, in ”Computational Geometry” (ed. R-H.Wang), AMS/IP Series ”Studies in Advanced Mathematics” (ed. S-T.Yau), Vol.34, 2003, 1-32.

123. Multivariate spline and geometry, in ”Computational Geometry” (ed. R-H.Wang), AMS/IP Series ”Studies in Advanced Mathematics” (ed. S-T.Yau), Vol.34, 2003, 195-199.

124. (with X.Q.Shi) The generalization of Pascal’s theorem and Morgan-Scott’s partition, in ”Computational Geometry” (ed. R-H.Wang), AMS/IP Series ”Studies in Advanced Mathematics” (ed. S-T.Yau), Vol.34, 2003, 179-187.

125. (with G.H. Zhao) A B-spline function in , in ”Computational Geometry”(ed. R-H. Wang), AMS/IP Series ”Studies in Advanced Mathematics” (ed. S-T.Yau), Vol.34, 2003, 227-235.

126. (With Z.Q. Xu) Discrete truncated powers and lattice points in rational polytope, Jour. Comp. Appl. Math., Vol.159 (2003), 149-159.

127. (with C.G. Zhu) Topological structure of real piecewise algebraic curves, Math. Num. Sin., 4 (2003), 505-512; Chinese J. Num. Math. & Appl., 26:1 (2004), 89-100.

128. (with F. Gao) The algebraic function approximation of the exponential function exp(z) and its applications in the difference schemes for univariate heatconduction equation, Math. Applic., 16 (2003), 15-20.

129. (with X.G. Meng) Interval B′ezier surfaces approximation of Rational surfaces, J. Num. Method & Comp. Appl., 24:4 (2003), 247-256; Chinese J. Num. Math. & Appl., 26:1 (2004), 38-48.

130. (with C.D. Zheng) On a new family of weighted least-square orthogonal polynomials in multivariables, Northeast Math. Jour., 19 (4) (2003), 339-345.

131. (with H. Zhou) Inner product involving q-differences: the little q-Jacobi-Sobolev polynomials, Math. in Practice & Theory, Vol.33, No.12 (2003), 125-131.

132. (with H. Zhou) On a set of h-harmonic homogeneous polynomials, Analysis in Theory and Applications, 19 (3) (2003), 234-237.

133. (with J.X. Wang) Quasi-interpolations with interpolation property, Jour. Comp. Appl. Math., 163 (2004), 253-257.

134. (with C.D. Zheng) Cubic Hermite-Pad′e approximation to exponential function, Jour. Comp. Appl. Math., 163 (2004), 259-268.

135. (with C.J. Li) A kind of multivariate NURBS surfaces, Jour. Comp. Math., 22 (1) (2004), 137-144.

136. (with C.J. Li) The multivariate quartic NURBS surfaces, Jour. Comp. Appl. Math., 163 (2004), 155-164.

137. (with C.G. Zhu) Cayley-Bacharach theorem of piecewise algebraic curves, Jour. Comp. Appl. Math., 163 (2004), 269-276.

138. (with C.D. Zheng) 4th degree algebraic Hermite-Pad′e approximation to the exponential function, Intern. Jour. Computer Math., Vol.81, No.1 (2004), 35-48.

139. (with F.Gao) Algebraic approximants to exp(z) and applications in construction of difference schemes of first order ODE, Applied Mathematics and Computation, Vol.149, No.2 (2004), 469-474.

140. (with C.G.Zhu) Nother-type theorem of piecewise algebraic curves, Progress in Natural Science, 14 (4) (2004), 309-313.

141. (with H. Zhou) Degree elevation of generalized tensor-product Poisson functions, Numerical Mathematics ( A Jour. of Chinese Univ.), Vol.26, No.1 (2004), 75-80.

142. (with T.B. Wu) The method for choosing interpolation nodes of spline approximation of complicated surfaces, Journal on Numerical Methods and Computer Applications, 25:3 (2004), 192-197.

143. (with Z.Q.Xu) The structural characterization and locally supported bases for bivariate super splines, Jour. Comp. Math., Vol.22, No.6 (2004), 807-816.

144. (with Y. Lu) A multidimensional generalization of Simpson-type formulas over N-simplex, Jour. Information and Computational Science, Vol.1, No.2 (2004), 331-335.

145. (with F.Gao) Several R2 -methods for initial value problem of first order ODE, Jour. Lanzhou Univ. of Tech., Vol.30, No.6 (2004), 124-127.

146. R.H. Wang, C.G. Zhu, Piecewise algebraic varieties, PROGRESS IN NATURAL SCIENCE, 14 (7) (2004), 568-572.

147. R.H. Wang, C.D. Zheng, Cubic Hermite-Pade approximation to the exponential function, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 163 (1) (2004) 259-268.

148. C.J. Li, R.H. Wang, Bivariate cubic spline space and bivariate cubic NURBS surfaces, GEOMETRIC MODELING AND PROCESSING 2004, PROCEEDINGS: 115-123 2004.

149. (with R.Z.Feng) Closed smooth surface defined from cubic triangular splines, Jour. Comp. Math., Vol.23, No.1 (2005), 67-74.

150. (with F.G. Lang) Multivariate weak spline space and minimal determing set, Math. Num. Sin., Vol.27, No.1 (2005), 71-80.

151. (with F. Gao) A few symplectic difference schemes for linear Hamiltonian systems, Mathematica Appl., Vol.18, No.1 (2005), 46-50.

152. (with C.G.Zhu) Geometric Hermite interpolation for space curves by B-spline, Journal 0f Software, Vol.16, No.4 (2005), 634-642.

153. (with J.X. Wang) The poisedness of interpolation problem for splines, Applied Numerical Mathematics, 54 (2005), 95-103.

154. (with C.G. Zhu) Piecewise semialgebraic sets, Jour. Comp. Math., Vol.23, No.5(2005), 503-512.

155. (with L.H. Cui and J.L. Zhang) Some researches on bivariate Hermit interpolation, Jour. Information and Computational Sciences, 2:2 (2005), 321-325.

156. (with J.Y. Hu) NURBS interpolation curve with constrained length, Jour. Information and Computational Science, 2:2 (2005), 327-334.

157. (with R.N. Qu) A class of degree reduction methods for B-spline curves, Jour. Math. Research & Exposition, Vol.25, No.4 (2005), 716-720.

158. (with H. Zhou) Orthogonal Laurent polynomials and their zeros, Jour. Math. Research & Exposition, Vol.26, No.1 (2006), 19-22.

159. (with C.J. Li) Bivariate quartic spline spaes and quasi-interpolation operators, Jour. Comp. Appl. Math., Vol.190, No.1-2 (2006), 325-338.

160. (with L.M. Shi) Some local methods for scattered interpolation, Jour. Math. Research & Exposition, Vol.26, No.2 (2006), 283-291.

161. (with Y.X. Zhao) Some problem of spline’s exactness, Mathematica Numerica Sinica, Vol.28, No.2 (2006), 133-140.

162. (with C.J. Li) Bivariate quartic spline spaces and quasi-interpolation operators, Jour. Comp. Appl. Math., 190 (2006), 325-338.

163. (with C.J. Li) A new 8-node quadrilateral spline finite element, Jour. Comp. Appl. Math., 195 (2006), 54-65.

164. (with X.Z.Liang, L.H.Cui, J.L.Zhang, and M.Zhang) Some researches on trivariate Lagrange interpolation, Jour. Comp. Appl. Math., 195(2006), 192-205.

165. (with C.G. Zhu) Lagrange interpolation by bivariate splines on cross-cut partitions, Jour. Comp. Appl. Math., 195 (2006), 326-340.

166. (with Z.X. Luo) Structure and dimension of multivariate spline space of lower degree on arbitrary triangulation, Jour. Comp. Appl. Math., 195(2006), 113-133.

167. (with Z.P. Liu) Conversion between triangular and rectangular B′ezier surfaces, Jour. Math. Research & Exposition, Vol.26, No.3 (2006), 525-530.

168. (with C.J. Li & F. Zhang) Improvement on the dimensions of spline spaces on T-mesh, Jour. Information and Computational Science, 3 (2) (2006), 235-244.

169. (with C.D. Zheng) Generalized rectangular matrix Padé -type approximants and Pad′e approximants, Jour. Information and Computational Science, 3 (2) (2006), 357-364.

170. (with C.G. Zhu) Noether-type theorem and its applications, Jour. Information and Computational Science, 3 (2) (2006), 365-372.

171. (with C.D. Zheng) General nondiagonal cubic Hermite-Padé approximation to the exponential function, Rocky Mountain Journal of Mathematics, Vol.30, No.5 (2006), 1757-1772.

172. (with Y. Lu), Approximation of multivariate function in by SV method, Jour. Information and Computational Science, Vol.3, No.1 (2006), 67-72.

173. (with F.G. Lang) Numerical integration based on discrete cubic spline, Jour. Information and Computational Science, 3 (4) (2006), 895-902.

174. (with X.L. Zhang) Finite element method by using bivariate B-splines, Jour. Information and Computational Science, 3 (4) (2006), 913-920.

175. Wang, Renhong, Wu, Jinming, Computation of an algebraic variety on a convex polyhedron, Journal of Information and Computational Science, 3 (4) (2006), 903-911.

176. Lu You, Wang Renhong, Solving two-dimensional Fredholm equation of second kind with singular kernel in S21(Δm,n2*) by SVM, Journal of Information and Computational Science, 3 (3) (2006), 511-514.

177. Li-Hong Cui, Jie-Lin Zhang, Ren-Hong Wang, Some researches on trivariate osculatory interpolation, Journal of Information and Computational Science, 3(3) (2006) 403-408.

178. (with J.M. Wu) Approximate implicitization based on RBF networks and MQ quasi-interpolation, Jour. Comp. Math., Vol.25, No.1 (2007), 97-103.

179. (with Y. Xu, Z.Q. Xu) A type of super convergent formulas for numerical divided differences, Math. Numer. Sinica, 29 (1) (2007), 81-88.

180. (with J. Chang) The mechanical background of bivariate spline space , Jour. Information and Computational Science, 4 (1) (2007), 299-307.

181. (with J.M. Wu) A kind of multivariate compactly supported infinitely differentiable functions and its applications, Jour. Information and Computational Science, 4 (1) (2007), 309-316.

182. (with N. Li)Interval implicitization of rational Bézier surfaces, Journal On Numerical Methods and Computer Applications, 28 (1) (2007), 38-46.

183. (with D.X. Gong) Minkowski decomposition of convex lattice polytopes, Jour. Information and Computational Science, 4 (2) (2007), 767-774.

184. (with F.G. Lang) Ideals ofandspline algebraic varieties, Jour. Information and Computational Science, 4 (2) (2007), 775-783.

185. (with Y. Xu, R.Song, and F. Liang), Solving multi-objective optimization problems with a hybrid genetic algorithm, Jour. Information and Computational Science, 4 (2) (2007), 785-790.

186. (with Y.S. Lai) The Nother and Riemann-Roch type theorems for piecewise algebraic curve, Science in China (Series A), 50 (2) (2007), 165-182.

187. (with J. Chang), A kind of bivariate spline space over rectangular partition and pure bending of thin plate, Applied Math. & Mech., Vol.28, No.7 (2007), 963-971.

188. (with F.G. Lang) Multivariate spline space over cross-cut partition, Computer and Mathematics with Applications, 54 (2007), 415-426.

189. (with X.L.Zhang) Numerical integration based on bivariate quartic quasi-interpolation operators, Numer. Math. J. Chinese Univ. (English Series),Vol.16, No.3 (2007), 226-232.

190. (with C.G. Zhu) The Noether-type theorem of piecewise algebraic curves on triangulation, Science in China (Series A), 37 (4) (2007), 425-430 (in Chinese); 50 (9) (2007), 1227-1232(in English).

191. (with C.G.Zhu) Least squares fitting of piecewise algebraic curves, Mathematical Problems in Engineering, Hindawi Publishing Corp., Volume 2007, Art.ID 78702, 11 pages. doi:10.1155/2007/78702.

192. (with J.M. Wu) Real root isolation of spline functions, Jour. Comp. Math., Vol.26, No.1 (2008), 69-75.

193. R.H. Wang, Recent researches on multivariate spline and piecewise algebraic variety, Journal of Computational and Applied Mathematics, Volume 221, Issue 2, 2008, Pages 460-471.

194. 赖义生、王仁宏、吴金明, 参系数零维分片代数簇的实零点, 中国科学A辑：数学, 2008, Vol. 38 (10): 1153-1167.

195. Renhong Wang, Xiaolei Zhang, Interval iterative algorithm for computing the piecewise algebraic variety, Computers & Mathematics with Applications, Volume 56, Issue 2, 2008, Pages 565-571.

196. Jinming Wu, Renhong Wang, Approximate implicitization of parametric surfaces by using compactly supported radial basis functions, Computers & Mathematics with Applications, Volume 56, Issue 12, 2008, Pages 3064-3069.

197. Xiaolei Zhang, Renhong Wang, Isolating the real roots of the piecewise algebraic variety, Computers and Mathematics with Applications, Volume 57, Issue 4, 2009, Pages 565-570.

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

199. 朱春钢, 王仁宏, Some researches on real piecewise algebraic curves, 数学研究与评论, 28 (2) (2008), 287-296.

200. 朱春钢, 李彩云, 王仁宏, 异度隐函数样条曲线曲面, 彭群生等编, CAD/CG2008会议论文集, 北京: 电子工业出版社, 2008, 184-188.

201. Wang Ren Hong, Li Chong Jun, Chen Juan, The Dimensions of Spline Spaces on Quasi-Rectangular Meshes, Journal of Mathematical Research & Exposition, 28 (2008) 745-752.

202. Zhuo Shi, Shu-Jin Lin, Xiao-Nan Luo, Ren-Hong Wang, Interpolatory and Mixed Loop Schemes, COMPUTER GRAPHICS FORUM, 27 (7) (2008) 1829-1835.

203. R.H. Wang, F.G. Lang, Special multivariate quadratic spline space, Mathematical and Computer Modelling 49 (2009) 760-769.

204. 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.

205. R.H. Wang, K. Qu, Comparison of CSC method and the B-net method for deducing smoothness condition, Progress in Natural Science, 19 (1) (2009) 25-31.

206. C.G. Zhu, R.H. Wang, Noether-type theorem of piecewise algebraic curves on quasi-cross-cut partition, Science in China Series A: Mathematics, 39 (1) (2009) 27-33.

人物成就

先后在国内外出版9部专著，发表论文130多篇。王仁宏教授在多元样条的理论方面最早做出基础性工作，开创了多元样条的代数几何方法，建立了多元样条的理论框架，奠定了多元样条的理论基础，被国际同行称为“王定理”。在多元样条一系列基本理论方面取得了具有国际先进水平的成果。国际逼近论著名学者G. Lorentz在一部专著里称王等是多元样条研究的几个国际流派之一。

荣获奖项

2002.10 全国普通高等学校优秀教材一等奖

2000.12 大连市科技进步二等奖

2000.08 辽宁省科技进步三等奖

1999.08 国防科学技术一等奖

1997.11 汽车工业科技进步三等奖

1997.11 机械部科技进步三等奖

1997.03 国家教委科技进步奖二等奖

1988.10 国家教委科技进步奖二等奖

1982.10 国家自然科学三等奖

1979.06 吉林省劳动模范称号

毕业学生人数