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梁学章教授数学文选PDF|Epub|txt|kindle电子书版本网盘下载
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- 梁学章编著 著
- 出版社: 长春:吉林大学出版社
- ISBN:9787560150529
- 出版时间:2009
- 标注页数:629页
- 文件大小:31MB
- 文件页数:642页
- 主题词:数学-文集
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图书目录
1.二元插值多项式的收敛性,吉林大学自然科学学报,(1)(1963),579-5821
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),27-325
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),123-12412
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),37-45185
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),385-396199
20.关于圆域上Kergin插值的收敛性,数学年刊,A11(3)(1990),285-296212
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),1-15300
28.关于多元Чебыщев逼近(Ⅱ),吉林大学自然科学学报,(2)(1979),9-16315
29.某些高维区域上的最小零偏差多项式,计算数学,(2)(1979),189-193323
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),85-95374
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),83-87385
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),17-25389
38.关于二元四次样条插值,吉林大学自然科学学报,(4)(1987),19-28397
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,1965604
论文和著作总目录621