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杨守志 [ 教授 ] 数学系 管理个人简历


性别:

出生日期:1963/10/30

职务:学位委员会委员、教代会、职代会代表团数学系

学术兼职:

社会兼职:广东省工业与应用数学学会副理事长,广东省计算数学学会理事,汕头市数学会副事长

电话:0754-86502029

手机:

传真:

E-mail:szyang@stu.edu.cn

学历简介:
   
硕士 1991-9 至 1994-6 西安交通大学
博士 1999-9 至 2002-4 西安交通大学

工作经历:
   
2002年5月 至 现在 汕头大学

担任课程:    
本科生:《数学分析》、《概率论与数理统计》、《数值分析》、《常微分方程》、《小波分析》,《解析几何》等.        
研究生:《小波分析》、《科学计算》、《多小波分析理论及应用》、《概率论与数理统计》、《样条函数和样条小波》等

主要研究兴趣:    
小波分析及样条理论、数值计算

获奖情况:
   

获两项河南省自然科学优秀学术论文二等奖

承担项目:
   
[ 1 ]
[ 2 ] 广东省自然科学基金博士基金项目 多分辨分析的扩充、多小波的构造理论与应用;(编号:04300917),
[ 3 ] 广东省自然科学基金项目 脊波和小波分析理论及其在调和分析中的应用;(编号:05008289),
[ 4 ] 国家自然科学基金项目 Sobolev空间上Framelets理论及相关问题研究;(编号:11071152),

研究成果:
   
[ 1 ]
[ 2 ] Construction of Biorthogonal Multiwavelets;J. Math. Anal. Appl., 276(1), 2002,1-12;
[ 3 ] Approximate Sampling Theorem for Bivariate Continuous Function, Appl;Math. & Mech., 24(11), 2003, 1197-1024;
[ 4 ] A Fast Algorithm for Constructing Orthogonal Multiwavelets;ANZIAM Journal, 46(2), 2004, 185-202;
[ 5 ] Compactly Supported Interpolatory Orthogonal Multiwavelets Packets;Aust. J. Math. Anal. Appl.,2(1), 2005,1-6;
[ 6 ] Extension of Multiresolution Analysis and the Construction of Orthogonal Multiwavelets;Georgian Math. J., 12(3), 2005, 561-571;
[ 7 ] A Class of Compactly Supported Symmetric or Antismmetric B-spline Wavelets;Prog. Nat. Sci., 15(2), 2005, 126-131;
[ 8 ] High-Order Balanced Multiwavelets with Dilation Factor a;Appl. Math. Comput., 181(1), 2006, 362-369;
[ 9 ] An Algorithm for Constructing Biorthogonal Multiwavelets with Higher Approximation Orders;ANZIAM Journal, 47(4), 2006, 513-526;
[ 10 ] Construction of high order balanced multiscaling functions via PTST;Sci. China, Ser. F, 49(4), 2006, 504-515;
[ 11 ] Raising Approximation Order of Refinable Vector by Increasing Multiplicity;Sci. China, Ser. A, 49(1), 2006, 86-97;
[ 12 ] High-Order Balanced Multiwavelets with Dilation Factor a;Appl. Math. Comput.,181(1), 2006, 362-369;
[ 13 ] Biorthogonal Interpolatory Multiscaling Functions and the Corresponding Multiwavelets;ANZIAM J.,2007,49(1): 85-98;
[ 14 ] Two-direction Refinable Functions and Two-direction Wavelets with Dilation Factor m;Appl. Math. Compu.,188(2),2007,1908-1920;
[ 15 ] Two-direction refinable functions and two-direction wavelets with high approximation order and regularity;Science in China, series A, 50(12),2007: 1687-1704;
[ 16 ] A Class of Orthogonal Two-direction Refinable Functions and Two-direction Wavelets;International Journal of Wavelets, Multiresolution and Information Processing, 2008. 6(6): 883-894;
[ 17 ] Construction of Multiwavelets with High Approximation Order and Symmetry;Sci. China Ser. A, 2009, 52(8):1607-1616;
[ 18 ] Construction of a class of compactly supported symmetric and balanced refinable function vector by GTST;Appl. Math. Compu., 2009, 207(1), 83-89;
[ 19 ] Two-direction Poly-scale Refinability;Computers and Mathematics with Applications, 2009, 58(1): 119-127;
[ 20 ] Construction of Multiwavelets with High Approximation Order and Symmetry(英文版);Sci. China Ser. A, 2009, 52(8):1607-1616;
[ 21 ] Construction of nonseparable dual Ω-wavelet frames in L^(R^s);Applied Mathematics and Computation, 2009, 215(6): 2082-2094;
[ 22 ] Parameterization of bivariate nonseparable orthogonal symmetric scaling functions;J. Math. Research & Exposition, 2010,30(4): 637-642;
[ 23 ] 仿酉对称矩阵的构造及对称正交多小波滤波带的参数化;数学学报, 2010,53(2): 279-290;
[ 24 ] 对称的高逼近阶多小波的构造;中国科学A辑, 2009,39(6): 709-718;
[ 25 ] Explicit Construction of Symmetric Orthogonal Wavelet Frames in $L^{2}(\mathbb{R}^{s})$;Journal of Approximation Theory, 2010,162(5):891-909;
[ 26 ] Construction of Compactly Supported Nonseparable Orthogonal Wavelets of $L^2(R^n) $;Bulletin of the Iranian Mathematical Society, 2010,36(1):183-199;