王仁宏

大連理工大學教授

王仁宏，1937年出生，江西南昌人。1959年畢業於吉林大學數學系並留校任教至1989年調到大連理工大學，現任大連理工大學教授，博士生導師，數學科學研究所所長，大連市數學會理事長。

人物簡介

王仁宏，1937年生，江西南昌人。現任大連理工大學數學科學學院教授，博士生導師。曾任國務院學位委員會第三、四屆學科（數學）評議組成員，中國數學會常務理事，中國計算機學會常務理事，教育部數學學科規劃組成員，教育部科技委數學物理學部委員，美國《數學評論》評論員，大連市數學會理事長,大連理工大學數學科學研究所所長。1959年畢業於吉林大學數學系並留吉林大學任教至1989年調到大連理工大學。現任國際雜誌《Journal of Computational and Applied Mathematics》(Elsevier出版社)編委、《Advances in Adaptive Data Analysis: Theory and Applications》(World Scientific出版社)編委；《Computational Technologies》(Published by Institute of Computational Technologies, SB, Russia Academy of Sciences)編委;《數學研究與評論》雜誌主編；《分析：理論及其應用》、《計算數學》(1993--2013)、《高校計算數學學報》、《高校應用數學學報》、《大連理工大學學報》等雜誌編委。《科學計算及其軟體叢書》(科學出版社)編委和《研究生數學叢書》(北京大學出版社)編委等。在國內外發表論文200多篇，著作10部。奠定了多元樣條的理論基礎，並給出了普遍適用的“光滑余因子方法”。該成果被國際上稱為“王定理”。美國國家科學院院士de Boor稱王仁宏為多元樣條的“開拓先驅”。王仁宏及其合作者被國際名家G.G. Lorentz譽為“多元樣條研究的國際三大主流學派之一”。王仁宏在無界函數逼近方面的工作也獲得了國際認可。王仁宏曾應邀在美國加州理工學院、IBM公司Thomas J. Watson研究中心、東京大學、羅馬大學等美、加、德、日、意、法、荷、比、芬、科及香港地區講演80多次。王仁宏多次出席國際學術會議並作大會邀請報告、會議主席和學術委員會委員等。王仁宏曾獲國家自然科學三等獎（1982），國家國防科工委國防科學技術一等獎（1999），國家教育委員會科技進步二等獎（1988，1997），教育部全國普通高校優秀教材一等獎（2002）。王仁宏是吉林省勞動模範(1979)，《馮康科學計算獎》評委會成員，還應邀多次為《Kyoto 獎》舉薦候選人。

個人履歷

1989.11- 大連理工大學數學科學研究所　所長，教授，博士生導師

1983.07-1989.10 吉林大學數學系教授

1978.11-1983.06 吉林大學數學系副教授

1959.08-1978.11 吉林大學數學系助教

2002.11- 國防科技大學客座教授

2002.10- 瀋陽工業大學客座教授

2002.07.28-08.11 日本大學，北海道大學訪問教授

2001.12- 中山大學教授（兼職）

2001.08- 哈爾濱工業大學數學系客座教授

2001.01- 廈門大學數學系客座教授

2001.02.19-03.18 香港理工大學應用數學系訪問教授

1999.02.11-02.25 科威特科威特大學數學系訪問教授

1996.11.21-12.20 香港城市大學訪問學者

1996.11.01-11.20 受日本學術振興會(JSPS)資助訪問東京大學、早稻田大學、京都大學、筑波大學、名古屋大學、鹿兒島大學

1995.8 - 東北大學客座教授

1995.1 香港中文大學數學系訪問學者

1993.10-1993.11 義大利Torino大學數學系訪問教授

1993.09-1993.10 義大利Milano大學數學系訪問教授

1993.7 - 西安電子科技大學客座教授

1993.3 - 南昌大學客座教授

1992.5 -1992.6 法國Nantes大學數學系客座教授

1991.11-1992.5 荷蘭Twente大學應用數學系客座教授

1990.11-1990.12 日本名古屋大學情報工學科客座教授

1990.5 -1990.6 芬蘭科學院Nevanlinna數學研究所數值分析年客座科學家

1990.3 - 吉林大學客座教授

1986.2 - 合肥工業大學客座教授

1984.8 -1985.5 美國Texas A&M大學數學系訪問教授

1981.6 -1982.11 美國Texas A&M大學數學系訪問學者

王仁宏

1981.4 -1981.5 美國Texas大學（Austin）數學系訪問學者

社會職務

社會兼職

◆職務

大連市數學會名譽理事長

中國數學會常務理事（1996-1999；2000-）

中國計算數學學會常務理事（1996-1999）

國務院學位委員會數學學科評議組成員（1992-1997；1998-2002）

教育部數學學科規劃組成員（1983）

教育部科學技術委員會數學物理學部委員（2000-2004）

馮康獎評委

美國《數學評論》評論員（1980-1981）

為Kyoto獎推薦候選人

◆學術刊物編委：

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

《Advances in Adaptive Data Analysis: Theory and Applications》

（Word Scientific 出版社）編委

《計算數學》編委

《分析理論及應用》編委

《高等學校計算數學學報》編委

《高等學校應用數學學報》編委

《數學研究與評論》主編

《大連理工大學學報》編委

《科學計算及其軟體教學叢書》（科學出版社）編委

《研究生數學叢書》（北京大學出版社）編委

出版著作和論文

◆ 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.

6. The English Edition of "Multivariate Spline Functions and Their Applications" published by Science Press/Kluwer Academic Publishers,Beijing/New York/Dordrecht/Boston/London, 2001.

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

8. "Computational Geometry" (Lectures at the Morningside Cenetr of Mathematics), AMS/IP Series, "Studies in Advanced Mathematics" Vol.34 (S-T.Yau Series Editor).

9. (with G.Q.Zhu) Rational Function Approximations and Their Applications, "Series of Computational Methods", Science Press, Beijing, 2004.

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

◆ 發表論文：

1.王仁宏,對Mirakiyan著“一個近似過程的收斂性研究”一文的某些評論及註記,吉林大學自然科學學報,No.2 (1962), 119-122.

2. 徐利治、王仁宏, 擴展乘數法與無界函數的多項式逼近(I), 吉林大學自然科學學報, No.2 (1963), 61-79.

3. 徐利治、王仁宏，擴展乘數法與無界函數的多項式逼近(II), 吉林大學自然科學學報, 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, 在全平面上用變形的Landau 多項式和Bernstein 多項式逼近無界連續函數的漸近估計, 吉林大學自然科學學報, No.2 (1963), 537-547.

6. 王仁宏, 一類三角多項式對某些多元周期函數的逼近性質, 吉林大學自然科學學報, 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, 高維歐氏空間上線性正運算元對多元函數的逼近階之漸近公式, 吉林大學自然科學學報, No.1 (1964), 1-16.

10. 王仁宏, 擴展乘數法與無界函數的多項式逼近(IV), 吉林大學自然科學學報, 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、梁學章, 二元連續函數在某些多項式類上的一致逼近理論, 吉林大學自然科學學報, No.2 (1965), 1-10.

13. 朱天玉、王仁宏等, 分子積分近似計算的幾點註記, 吉林大學自然科學學報, No.3 (1965), 9-14.

14. 王仁宏，連續函數的一類新的近似多項式, 吉林大學自然科學學報, 4 (1965), 109-116.

15. 王仁宏, 多元齒的結構與插值, 數學學報, 18 (1975), 91-106.

16. 王仁宏、吳順唐, 關於有理 Spline函數, 吉林大學自然科學學報, No.1 (1978), 58-70.

17. 王仁宏、周蘊時、程少春, 一種光滑插值方法及其應用, 吉林大學自然科學學報, 2 (1978), 68-72.

18. 徐利治、王仁宏、周蘊時, 邊界型求積公式的構造方法及應用, 計算數學, No.3 (1978), 54-75.

19. 王仁宏、有理逼近的理論與方法, 全國逼近會議論文集, 杭州大學出版社, 1978, 61-71.

20. 王仁宏，任意剖分下的多元樣條分析，中國科學, 數學專輯(I) (1979), 215-226.

21. 王仁宏, 具有約束的有理逼近, 吉林大學自然科學學報, No.1 (1979), 19-25.

22. 王仁宏, Hermite-Fejer插值多項式的逼近階, 科學通報, No.7 (1979), 292-295.

23. 王仁宏, 擬局部正線性運算元與無界函數的逼近, 數學學報, 23 (1980), 163-176.

24. 王仁宏, 任意剖分下多元樣條分析 (II), 高校計算數學學報, 1 (1980), 78-81.

25. 長春人衛站、吉林大學數學系(王仁宏執筆), 藉助人造衛星軌道的攝動反求大氣密度參數的一類方法,《空間物理文集》, 科學出版社, 1980, 137-156.

26. 吳順唐、王仁宏，有理函數的一個插值問題, 高等學校計算數學學報, 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. 何天曉、王仁宏, 具Chebyshev結點的 Hermite-Fejer 插值運算元的漸近估計, 計算數學, 5 (1983), 260-266.

32. 何天曉、王仁宏, 具Jacobi結點的 Hermite-Fejer插值運算元的漸近估計(II), 計算數學, 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、崔錦泰, 關於一個二元B樣條基, 中國科學, A輯, 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. 何天曉、王仁宏, 具 Tchebyshev 結點的 Hermite-Fejer 插值運算元的漸近估計(III), 數值計算與計算機應用, 6 (1985), 1-7.

44. 王仁宏、何天曉, 不均勻第二型三角剖分下的帶有邊界條件的樣條函數空間，科學通報, 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、盧旭光，關於三角剖分下二元樣條空間的維數, 中國科學, A輯,6（1988）,585-594. (英文版：32(1989), 674-684.)

52. 王仁宏, 關於多元樣條空間的維數, 科學通報, 6 (1988), 473-474.

53. 王仁宏、施錫泉, n維空間上的一類C1 插值有限元方法, 科學通報, 9 (1988), 7-16.

54. 施錫泉、王仁宏, 樣條空間S12(Δmn), 科學通報, 22 (1988), 17-53.

55. 王仁宏, 關於多元逼近的某些問題, 河南大學學報(增刊)(全國第五屆逼近論會議文集), 1988, 31-38.

56. 王仁宏、施錫泉, n維空間上的一類三次C1 插值有限元方法, 河南大學學報(增刊)(全國第五屆逼近論會議文集), (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、施錫泉、羅笑南、成萬植、劉樹元, 不同網點群的載荷轉換計算, 工科數學, Vol. 6, No.3 (1990), 1-7.

63. (with X.N. Luo) C1 and C2 interpolation surfaces by bi-cubic splines on quadrilateral partitions, in " Proc. The Conference on Computational Mathematics"(ed. Y.L.Zhou), Tianjun, China, 1991, 699-702.

64. (with Z.X. Su) On parallel computing concerning the bivariate splines, in " Proc. the Conference on Computational Mathematics"(ed. Y.L.Zhou), Tianjun, China, 1991, 728-731.

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. 羅鍾鉉、王仁宏, 任意三角剖分下的C1-有理樣條函數及基函數, 大連理工大學學報, 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. 羅鍾鉉、王仁宏, 有理曲面片的幾何連續性條件，高等學校計算數學學報, 16 (1994), 97-106.

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

79. 漆濤、王仁宏, 內網點連通剖分下網線的編號, 數學研究與評論, 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 << Advanced Topics in Multivariate Approximation >> (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, 計算二維Cauchy主值積分的多元樣條方法, 應用數學學報, 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. 王文舉、王仁宏、劉秀平, 分片代數曲線交點的結式求法, 數學研究與評論, 1 (1999), 125-129.

89. 王仁宏、路游, 關於非均勻剖分下多元樣條空間的擬插值運算元, 高等學校計算數學學報, 2 (1999), 97-103.

90. 江雷、王仁宏, 矩形域與三角域Bezier曲面間的PPG變換, 計算數學, 21 (1999), 245--250.

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

92. 鄭成德、王仁宏, 一類插值多項式運算元與無界函數逼近, 應用數學與計算數學學報, 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、趙國輝, 構造非均勻剖分上局部支集樣條函數的積分方法, 高等學校計算數學學報, 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, 一種細分格式生成極限曲面的法向量的求法, 數學研究, 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. 鄭成德、王仁宏, Mirakyan奇異積分運算元與無界連續函數逼近，高等學校計算數學學報, 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. 許志強、王仁宏, 貫穿剖分的若干性質, 高等學校計算數學學報, Vol.23, No.4 (2001), 289-292.

101. 王仁宏、胡金燕, 二次NURBS表示圓弧的方法, 大連理工大學學報, 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, 第五屆中日計算數學討論會，論文集.

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、許志強, 分片代數曲線Bezout數的估計, 中國科學(A輯), 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. 馮仁忠、王仁宏, 在任意拓撲三角形網格上的光滑樣條曲面，軟體學報, 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. 賴義生、王仁宏、吳金明, 參係數零維分片代數簇的實零點, 中國科學A輯：數學, 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. 朱春鋼, 王仁宏, Some researches on real piecewise algebraic curves, 數學研究與評論, 28 (2) (2008), 287-296.

200. 朱春鋼, 李彩雲, 王仁宏, 異度隱函數樣條曲線曲面, 彭群生等編, CAD/CG2008會議論文集, 北京: 電子工業出版社, 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.

成就

先後在國內外出版9部專著，發表論文130多篇。王仁宏教授在多元樣條的理論方面最早做出基礎性工作，開創了多元樣條的代數幾何方法，建立了多元樣條的理論框架，奠定了多元樣條的理論基礎，被國際同行稱為“王定理”。在多元樣條一系列基本理論方面取得了具有國際先進水平的成果。國際逼近論著名學者G. Lorentz在一部專著里稱王等是多元樣條研究的幾個國際流派之一。

工作成果（獎勵、專利等）

2002.10 全國普通高等學校優秀教材一等獎

2000.12 大連市科技進步二等獎

2000.08 遼寧省科技進步三等獎

1999.08 國防科學技術一等獎

1997.11 汽車工業科技進步三等獎

1997.11 機械部科技進步三等獎

1997.03 國家教委科技進步獎二等獎

1988.10 國家教委科技進步獎二等獎

1982.10 國家自然科學三等獎

1979.06 吉林省勞動模範稱號

畢業學生人數

1985-現在已培養計算數學專業博士研究生39人。

王仁宏