《梁学章教授数学文选》PDF下载

  • 购买积分:18 如何计算积分?
  • 作  者:梁学章编著
  • 出 版 社:长春:吉林大学出版社
  • 出版年份:2009
  • ISBN:9787560150529
  • 页数:629 页
图书介绍:本文选收集了梁学章教授历年来发表在数学杂志上的具有代表性的研究论文60余篇。出版该文选对推进我国计算数学和逼近论的理论与应用研究工作有重要意义。

1.二元插值多项式的收敛性,吉林大学自然科学学报,(1)(1963),579-582 1

2.二元插值的适定结点组与迭加插值法,吉林大学自然科学学报,(1)(1979),27-32 5

3.关于多元函数的插值与逼近,高等学校计算数学学报,创刊号(1979),123-124 12

4.构造二元切触插值公式的方法,数学研究与评论,(1)(1981),91-99.(与朱功勤合作) 15

5.On Bivariate Osculatory Interpolation,J.Comput.Appl.Math.,38(1991),271-282.(与李落清合作) 24

6.Lagrange Interpolation on a Sphere,Northeast.Math.J.,16(2)(2000),243-252.(与冯仁忠,崔利宏合作) 37

7.Properly Posed Sets of Nodes for Multivariate Lagrange Interpolation in Cs,SIAM J.Numer.Anal.,30(2)(2001),587-595.(与吕春梅,冯仁忠合作) 49

8.The Application of Cayley-Bacharach Theorem to Bivariate Lagrange Interpolation,J.Comput.Appl.Math.,163(2004),177-187.(与崔利宏,张洁琳合作) 60

9.多元Lagrange插值与Cayley-Bacharach定理,高等学校计算数学学报,27专辑(2005),276-281.(与张洁琳,崔利宏合作) 72

10.Some Researches on Rrivariate Lagrange Interpolation,J.Comput.Appl.Math.,195(2006),192-205.(与王仁宏,崔利宏,张洁琳,张明合作) 78

11.Multivariate Lagrange Interpolation and an Application of Cayley-Bacharach Theorem for It,http://arxiv.org/abs/math/0608115.2006.(与张洁琳,张明,崔利宏合作) 93

12.高维空间中代数流形上多项式空间的维数与Lagrange插值适定结点组的构造,吉林大学学报(理学版),44(3)(2006),309-317.(与张明,张洁琳,崔利宏合作) 113

13.Some Researches on Multivariate Lagrange Interpolation along the Sufficiently Intersected Algebraic Manifold,Applicable Analysis,86(6)(2007),669-685.(与张洁琳,崔利宏合作) 125

14.A Kind of Lagrange Interpolation on the Sphere,2009 WRI World Congress on Computer Science and Information Engineering,CSIE 2009,Los Angeles,California USA,4(2009),96-100.(与张明合作) 143

15.On Lagrange and Hermite Interpolation Along Algebraic Manifold,International J.Math.Comput.,2(M09)(2009),43-59.(与张明合作) 151

16.Superposition Interpolation Process in Cn,Appl.Math.Comput.(2009),doi:10.1016/j.amc.2009.04.079.(与张洁琳,张明,崔利宏合作) 171

17.On Hakopian Interpolation in the Disk,Approx.Theory Appl.,2(1)(1986),37-45 185

18.Kergin Interpolation at the Points Which Are Zeros of the Bivariate Polynomial of Least Deviation from Zero on the Disk,Northeast.Math.J.,2(4)(1986),408-414.(与叶亚明合作) 192

19.Lagrange Representation of Multivariate Interpolation,Science in China,A32(4)(1989),385-396 199

20.关于圆域上Kergin插值的收敛性,数学年刊,A11(3)(1990),285-296 212

21.On the Convergence of Hakopian Interpolation and Cubature,J.Appr.Theory,88(1)(1997),28-46.(与吕春梅合作) 225

22.On the Integral Convergence of Kergin Interpolation on the Disk,J.Comput.Appl.Math.,95(1998),45-63.(与吕春梅合作) 240

23.On the Uniform Convergence of Kergin Interpolation on the Disk,J.Comput.Anal.Appl.,3(4)(2001),281-300.(与刘明才合作) 259

24.A New Algorithm for CT Based on Hakopian Interpolation,J.Inform.Comput.Sci.,1(3)(2004),141-145.(与孙雪楠合作) 273

25.基于Hakopian插值的快速图像重建算法,计算机辅助设计与图形学学报,18(3)(2006),451-455.(与孙雪楠,刘播合作) 278

26.Weighted Mean Convergence of Hakopian Interpolation on the Disk,Analysis in Theory and Applications,23(3)(2007),213-227.(与冯仁忠,孙雪楠合作) 286

27.关于多元Чебыщев逼近(Ⅰ),吉林大学自然科学学报,(1)(1965),1-15 300

28.关于多元Чебыщев逼近(Ⅱ),吉林大学自然科学学报,(2)(1979),9-16 315

29.某些高维区域上的最小零偏差多项式,计算数学,(2)(1979),189-193 323

30.On Chebyshev Approximation in Several Variables(Ⅲ),Approximation,Optimization and Computing:Theory and Applications,A.G.Law and C.L.Wang(eds.),Elsevier Science Publishers B.V.,North-Holland,1990.(与韩新民合作) 328

31.基于圆域上多项式逼近的图像重建算法,吉林大学学报(理学版),42(3)(2004),351-355.(与孙雪楠合作) 335

32.Analysis and Improvement of Marr's Algorithm for Image Reconstruction,2004 8th International Conference on Control,Automation,Robotics and Vision,Kunming,China,6-9th December 2004.(与孙雪楠,董再励,田小军合作) 341

33.平行六边形域上的二重Fourier级数的线性求和,吉林大学学报(理学版),46(5)(2008),816-824.(与王淑云,孙毅合作) 348

34.Convergence Properties of Generalized Fourier Series on a Parallel Hexagon Domain,Comm.Math.Res.,25(2)(2009),104-114.(与王淑云,付瑶,孙雪楠合作) 361

35.二元四次样条插值与有限元,吉林大学自然科学学报,(1)(1978),85-95 374

36.关于高精度样条插值公式的一点注记,高等学校计算数学学报,(1)(1981),83-87 385

37.等距结点上一类新的样条插值公式,吉林大学自然科学学报,(1)(1982),17-25 389

38.关于二元四次样条插值,吉林大学自然科学学报,(4)(1987),19-28 397

39.两邻接NURBS曲面间的G2连续条件,吉林大学学报(理学版),(1)(2002),19-23.(与车翔久合作) 407

40.G2 Continuity Conditions for Two Adjacent B-spline Surfaces,Geometric Moodeling and Processing 2004,Proceedings,2004,341-344.(与车翔久,李强合作) 414

41.G1 Continuity Conditions of Adjacent NURBS Surfaces,Compuer Aided Geometric Design,22(2005),285-298.(与车翔久,李强合作) 421

42.G1 Smooth Connection of Adjacent NURBS Surfaces,J.Inform.Comp.Sci.,2(3)(2005),585-589.(与杨火根,李京镐合作) 436

43.G1 Smooth NURBS Surfaces with n-patch Corner,J.Inform.Comput.Science,3(3)(2006),589-593.(与杨火根,车翔久,蒋庆华合作) 442

44.The Construction of G1 Smooth NURBS Surfaces over Arbitrary Topology Type,J.Inform.Comput.Science,4(1)(2007),347-351.(与杨火根合作) 448

45.B样条曲面间G1连续条件及局部格式构造问题,计算机辅助设计与图形学学报,19(7)(2007),866-870.(与高占恒,高福顺,马婷合作) 454

46.由点云数据生成三角网格曲面的区域增长算法,吉林大学学报(理学版),46(3)(2008),413-417.(与高福顺,张鼎林合作) 461

47.用Loop细分曲面拟合点云数据的方法,中国计算机辅助设计与图形学2008—纪念全国首届CAD/CG学术会议30周年,全国计算机学会论文集,电子工业出版社,北京,2008,311-315.(与薛耀红,梁英合作) 469

48.The Smooth Connection Algorithm between B-spline Surfaces Patches,J.Inform.Comput.Sci.,2(1)(2005),69-74.(与高占恒合作) 478

49.Loop细分小波紧框架对三维图形压缩的应用,吉林大学学报(理学版),47(5)(2009),987-993.(与薛耀红,李强合作) 483

50.Bivariate Box-spline Wavelets,M.Cheng et al.(eds.),Harmonic Analysis in China,Kluwer Academic Publishers,Printed in the Netherlands,183-196.(与金光日,陈翰麟合作) 492

51.Real-valued Periodic Wavelets:Construction and Relation with Fourier Series,J.Comput.Math.,17(5)(1999),509-522.(与陈翰麟,彭思龙,肖绍良合作) 504

52.How to Get the Original Discrete Approximation for the Pyramid Algorithm of Multiresolution Decomposition,Northeast.Math.J.,15(2)(1999),159-172.(与刘明才,陈少田合作) 517

53.区间上的双正交小波的一种构造方法,高等学校计算数学学报,(4)(2000),341-352.(与刘明才合作) 534

54.Solving Second Kind Integral Equations by Galerkin Methods with Continuous Orthogonal Wavelets,J.Comput.Appl.Math.,136(2001),149-161.(与刘明才,车翔久合作) 547

55.A Wavelet-based Digital Watermarking Algorithm,Proceedings of the International Conference on Wavelet Analysis and Its Applications,2(2003),World Scienc Publishing Co.,Pte.Ltd.,PP.727-732.(与孙洪全,张洁琳合作) 560

56.Bivariate Real-valued Orthogonal Periodic Box-spline Wavelets,Northeast.Math.J.,22(1)(2006),21-29.(与李强合作) 566

57.Mammographic Image Enhancement and Denoising Based on Redundent Wavelet Transform,Proceedings of the International Conference 2006 on Wavelet Active Media Technology and Information Processing,2(2006),880-885.(与温学兵,韩轶男,纪经娜合作) 577

58.An Implementation of Fast Algorithms for Biorthogonal Periodic Interpolatory Wavelets,J.Inform.Comput.Science,4(2)(2007),545-551.(与李强,苏丽涛合作) 582

59.A New Algorithm For Enhancing the Contrast of Finger-vein Image,J.Inform.Comput.,3(4)(2006),929-934.(与温学兵,张洁琳合作) 589

60.2D Chaotic Watermark Generation Based on Wavelet Transform and Bivariate Logistic Model,International Conference on Complex Systems and Applications,Jun 08-10,2007.(与孙佳宁,李强,Edward Arroyo合作) 595

附录 多元插值的适定结点组与叠加插值法,硕士毕业论文《关于多元函数的插值与逼近》的第二章,吉林大学数学系,长春,1965 604

论文和著作总目录 621