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中国科学技术大学数学学院导师:侯新民
侯新民副教授 | |
所在系 | 计算与应用数学系 |
研究方向 | 图论组合 |
办公室 | 1317 |
办公电话 | 0551-63607567 |
电子邮件 | xmhou@ustc.edu.cn |
个人主页 |
个人简介
山东郓城人。2002年毕业于大连理工大学,获理学博士学位。2002至2004 中国科学技术大学数学系博士后,同年8月留校。主要研究方向为组合与图论。
科研情况
目前主要从事图的分解理论、互连网络及图的控制理论方面的研究工作。
科研项目情况:
主持项目:
4.偶子图覆盖、整数流与群连通及路分解问题研究,国家自然科学基金面上项目,批准号:11271348,2013-2016,60万;
3.整数流、群联通及圈覆盖问题研究、教育部、留学回国人员科研启动基金、2011-2014,3万WF0010000016;
2.图论及统计金融中若干问题研究,中央高校基本科研业务费专项资金资助,2011-2013,WK0010000021,8万;
1.图的控制理论及其应用研究,国家自然科学基金项目,批准号:10701068,年限:2008-2010,16万;
参与项目:
5.约束数及相关问题研究,国家自然科学基金项目,批准号11071233 年限: 2011-2013
4.组合数学中若干专题,校青年创新基金,12万,2/4,年限:2010-2011
3.网络中若干图论问题研究(国家自然科学基金项目,批准号:10671191,年限:2007-2009)
2.网络性能组合分析(国家自然科学基金项目,批准号:10271114,年限:2003-2005)
1.图谱理论中的若干专题(国家自然科学基金项目,批准号: 10301031,年限:2004-2006)
论文情况:
已接受发表论文:
2012:
[40]Ying Wang,Xinmin Hou,Factor-Bicriticallity in connected domination critical graphs,Acta Math.Sin.,55(6)(2012),1033-1038.
[39]Xinmin Hou,A note on Z_3-connected graphs with degree sum condition,Acta Math.Sin.,28(11)(2012),2161-2168.
[38]Jing Chen,Xinmin Hou,Ning Li,The total {k}-domatic number of wheels and complete graphs,J.Combin.Optim.,24(2012) :162–175.
[37]Xinmin Hou,Cun-Quan Zhang,A Note on Shortest Cycle Covers of Cubic Graphs,J.Graph Theory,71(2012),123-127.
[36]Xinmin Hou,Hong-Jian Lai,Ping Li,Cun-Quan Zhang,Group connectivity of complementary graphs,J.Graph Theory,69(4)(2012),pp.464-470.
[35]Ning Li,Xinmin Hou,Jing Chen and Jun-Ming Xu,Signed reinforcement numbers of certain graphs,AKCE Int.J.Graphs Comb.,9,No.1(2012),pp.59-70
[34]Xinmin Hou,Hong-Jian Lai,Mingquan Zhan,Taoye Zhang,Ju Zhou,Z3-connectivity of 4-edge-connected 2-triangular graphs,European Journal of Combinatorics,33(2012) 182–188
2011:
[33]Xinmin Hou,On the Perfect Matchings of Near Regular Graphs,Graphs and Combinatorics
Vol 27,Issue 6,2011,865-869.
[32]Lu,Y.,Hou,X.,Xu,J.-M.,Li,N.,Trees with unique minimum p-dominating sets,Utilitas Mathematica,Vol.86,2011,193-205
[31]Weiqing Wang,Xinmin Hou,Wenjie Ning,The k-connectivity Index of an infinite class of dendrimes Nanostars,Digest Journal of Nanomaterials and Biostructures,Vol.6,No 3,( 2011),1199-1205
2010:
[30]You Lu,Xinmin Hou,Total domination in the cartesian product of a graphs and $K_2$ or $C_n$,Utilitas Mathematica,83(2010),313-322.
[29]Xinmin Hou,A characterization of trees with equal domination and total domination numbers.Ars Combinatoria,97 A(2010),499-508.
[28]Xinmin Hou,You Lu,Xirong Xu,A characterization of $(\gamma_t,2\gamma)$-block graphs.Utilitas Mathematica,82(2010),155-159.
[27]You Lu,Xinmin Hou,Jun-Ming Xu and Ning Li,A characterization of(\gamma_t,gamma_2)-trees,Discuss.Math.Graph Theory 30(2010 ) 425-435.
[26]You Lu,Xinmin Hou and Jun-Ming Xu,On the(2,2)-domination number of trees,Discuss.Math.Graph Theory 30(2010) 185-199.
[25]Xin Min HOU,Fan JIANG,Paired Domination of Cartesian Products of Graphs,J.Math.Res.Exposition,30(2010),181-185.
2009:
[24]Rui Yang,Xinmin Hou,Ning Li,Wei Zhong,A note on the distance-balanced property of generalized Petersen graphs,Electron.J.Combin.,16(2009),#N33
[23]Liu Bolian,Yu Gexin,Hou Xinmin,On the Minimum 2-wide Diameter of Cycles with Chords,OR Transactions,13(2009),1-5.
[22]Lu,You;Xu,Jun-Ming;Hou,Xin-Min Bounded edge-connectivity and edge-persistence of Cartesian product of graphs.Discrete Appl.Math.157(2009),no.15,3249--3257.
[21]Li,Ning;Hou,Xin Min Bipartite graphs $K_{n,n+r}-A(\vert A\vert \leq3)$ determined by their cycle length distributions.J.Math.Res.Exposition 29(2009),no.4,571--579.
[20]Li,Ning;Hou,Xinmin On the total ${k}$-domination number of Cartesian products of graphs.J.Comb.Optim.18(2009),no.2,173--178.
[19]Lu,You;Hou,Xinmin;Xu,Jun-Ming;A note on the $p$-domination number of trees.Opuscula Math.29(2009),no.2,157--164.
[18]Hou,Xinmin;Xu,Jun-Ming;Xu,Min;The forwarding indices of wrapped butterfly networks.Networks 53(2009),no.4,329--333.
[17]Hou,Xinmin;Lu,You;On the ${k}$-domination number of Cartesian products of graphs.Discrete Math.309(2009),no.10,3413--3419.
2008:
[16]Jiang,Fan;Hou,Xin-min;Strongly total domination edge critical graphs.J.Univ.Sci.Technol.China 38(2008),no.9,1024--1029.
[15]Hou,Xinmin;Edwards,Michelle;Paired domination vertex critical graphs.Graphs Combin.24(2008),no.5,453--459.
[14]Hou,Xinmin;A characterization of $(2\gamma,\gamma_{\rm p})$-trees.Discrete Math.308(2008),no.15,3420--3426.
2007:
[13]Hou,Xinmin;Total domination of Cartesian products of graphs.Discuss.Math.Graph Theory 27(2007),no.1,175--178.
[12]Zhu,Qiang;Xu,Jun-Ming;Hou,Xinmin;Xu,Min;On reliability of the folded hypercubes.Inform.Sci.177(2007),no.8,1782--1788.
2006:
[11]Xu,Jun-Ming;Xu,Min;Hou,Xinmin;Forwarding indices of Cartesian product graphs.Taiwanese J.Math.10(2006),no.5,1305--1315.
[10]Hou,Xin-min;On the total domination number of trees.J.Univ.Sci.Technol.China 36(2006),no.6,604--606.
2005:
[9]Xu,Min;Xu,Jun-ming;Hou,Xin-min;On edge-forwarding index of graphs with degree restriction.J.Univ.Sci.Technol.China 35(2005),no.6,732--737.
[8]Xu,Min;Xu,Jun-Ming;Hou,Xin-Min;Fault diameter of Cartesian product graphs.Inform.Process.Lett.93(2005),no.5,245--248.
[7]Hou,Xinmin;Xu,Min;Xu,Jun-Ming;Forwarding indices of folded $n$-cubes.Discrete Appl.Math.145(2005),no.3,490--492.
2004:
[6]Hou,Xinmin;Wang,Tianming;On generalized $k$-diameter of $k$-regular $k$-connected graphs.Taiwanese J.Math.8(2004),no.4,739--745.
[5]Xu,Min;Hou,Xinmin;Xu,Jun-Ming;The proof of a conjecture of Bouabdallah and Sotteau.Networks 44(2004),no.4,292--296.
[4]Hou,Xin-min;Wang,Tian-ming;Wide diameters of generalized Petersen graphs.J.Math.Res.Exposition 24(2004),no.2,249--253.
2003:
[3]Hou,Xinmin;Wang,Tianming;On generalized wide diameter of graphs.Taiwanese J.Math.7(2003),no.2,339--345.
[2]Hou,Xinmin;Liu,Bolian;Wang,Tianming;An algorithm to construct $k$-regular $k$-connected graphs with the maximum $k$-diameter.Graphs Combin.19(2003),no.1,111--119.
2002:
[1]Hou,Xin Min;Wang,Tian Ming;The transmission delay of distributed triple loop networks.(Chinese) J.Dalian Univ.Technol.42(2002),no.1,9--12.05C90
*如果发现导师信息存在错误或者偏差,欢迎随时与我们联系,以便进行更新完善。
中国科学技术大学数学学院导师:李书敏
李书敏副教授 | |
所在系 | 计算与应用数学系 |
研究方向 | 应用数学 |
办公室 | 1429 |
办公电话 | 0551-63602611 |
电子邮件 | shuminli@ustc.edu.cn |
个人主页 |
*如果发现导师信息存在错误或者偏差,欢迎随时与我们联系,以便进行更新完善。
中国科学技术大学数学学院导师:李新
李新副教授 | |
所在系 | 计算与应用数学系 |
研究方向 | 计算几何 |
办公室 | 1215 |
办公电话 | 0551-63607202 |
电子邮件 | lixustc@ustc.edu.cn |
个人主页 |
个人简介
李新,男,1980年3月生,湖北黄冈人,博士,副教授。于2002年和2008年在中国科学技术大学数学系获得学士和博士学位。曾先后访问美国杨百翰大学计算机系,新加坡南洋理工大学计算机系。主持国家自然科学基金委,教育部和中科院多项基金研究。
*如果发现导师信息存在错误或者偏差,欢迎随时与我们联系,以便进行更新完善。
中国科学技术大学数学学院导师:梁兴
梁兴教授 | |
所在系 | 计算与应用数学系 |
研究方向 | 微分方程 |
办公室 | 1417 |
办公电话 | 0551-63600217 |
电子邮件 | xliang@ustc.edu.cn |
个人主页 |
个人简介
Curriculum Vitae
Last Name:Liang First Name:Xing
Sex:Male Citizenship:P.R.China
Birth Date:July 18,1976 Marital Status:Married
EDUCATION:
Ph.D.in Pure Mathematics,July 2003 (Supervisor:Prof.Jifa Jiang),University of Science and Technology of China,Hefei,China.
B.S.in Mathematics,July 1998,University of Science and Technology of China,Hefei,
China.
PROFESSIONAL EXPERIENCE:
Professor,July.2009-present,Department of Mathematics,University of Science and Technology of China,P.R.China.
Associate Professor,Jan.2004-June,2009,Department of Mathematics,University of Science and Technology of China,P.R.China.
Lecturer,June 2001- Dec 2003,Department of Mathematics,University of Science and Technology of China,P.R.China.
Visiting Fellow,April,2011,National Center of Theoretical Sciences,National Tsinghua University,Taiwan.Host:Prof.Szi-Bi Hsu.
Visiting Fellow,Feb.-March.2011,Department of Mathematics,University of New England,Australia.Host:Prof.Yihong Du.
Visiting Professor,July,2010,National Center of Theoretical Sciences,Taiwan Normal University,Taiwan.Host:Prof.Jong-Shenq Guo
JSPS Post-doctor Fellow,Nov.2006-Nov.2008,Graduate School of Mathematical Science,University of Tokyo.Host:prof.Hiroshi Matano.
Research Visitor,July-Aug.2006,Department of Mathematics and Statistics,Memorial University of Newfoundland,Canada.Host:Prof.Xiaoqiang Zhao.
Visiting Fellow,Aug.-Sep.2005,Department of Mathematics,University of New England,Australia.Host:Prof.Yihong Du.
Research Visitor,Sep.2004-Jan.2005,Department of Mathematics and Statistics,Memorial University of Newfoundland,Canada.Host:Prof.Xiaoqiang Zhao.
Visiting Fellow,Sep.-Nov.2003,School of Mathematics and Statistics,University of Sydney,Australia.Host:Prof.Norman Dancer.
GRANTS:
1.New Century Outstanding Younger Fellowship,The Ministry of Education,2007.1-2011.12
2.NSF of China,Spreading speed and Traveling waves of heterogeneous parabolic equations,Individual research grant,Jan.2009 -Dec.2011.
3.NSF of China Young Investigator Award,Dynamics of n-species competitive Lotka-Volterra Reaction Diffusion Systems,Individual research grant,Jan.2005 -Dec.2007.
4.Outstanding Younger Fellowship of University of Science and Technology of China.
RESEARCH INTERESTS:
Nonlinear Analysis,Infinite-Dimensional Dynamical Systems,Nonlinear Parabolic Equations.
MAIN PUBLICATION LIST:
1.(with Jong-Shenq Guo) ,The Minimal Speed of Traveling Fronts for the Lotka-Volterra Competition System,Journal of Dynamics and Differential Equations,23(2),pp 353-363,2011/6.
2.(with Xiaoqiang Zhao),Asymptotic Speeds of Spread and Traveling Waves for Monotone Semiflows with Applications,Communications on Pure and Applied Mathematics,Vol.60,1 – 40,2007.
3.(with Xiaoqiang Zhao),Spreading speeds and traveling waves for abstract monostable evolution systems,Journal of Functional Analysis,259 857–903 ,2010
4.(with Xiaotao Lin and Hiroshi Matano),A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations,TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,362(11),pp 5605-5633,2010/11.
5.(with Jifa Jiang),Competitive systems with migration and the Poincare-Bendixson theorem for a 4-dimensional case,Quarterly of Applied Mathematics,Vol.64,483-498,2006.
6.(with Yihong Du),Spatially A diffusive competition model with a protection zone,J.Differential Equations,Vol.244,61-86,2008.
7.(with Jifa Jiang and Xiaoqiang Zhao),Saddle Point Behavior for Monotone Semiflows and Reaction-Diffusion Models,J.Differential Equations ,Vol.203,313—330,2004.
8.(with Yingfei Yi and Xiao-qiang Zhao),Spreading speeds and traveling waves for periodic evolution systems,Journal of Differential Equations,Vol.231,Issue 1,57-77,2006.
9.(with Daozhou Gao),A Competition-Diffusion System with a Refuge,Discrete and Continuous Dynamical Systems–SERIES B,Vol 8,Number 2,Pages 435-454,2007.
10.(with Jifa Jiang),Discrete infinite dimensional type-K monotone dynamical systems and time-periodic reaction diffusion systems,J.Differential Equations,Vol.189,no.1,318-354,2003.
11.(with Jifa Jiang),The dynamical behavior of type-K competitive Kolmogorov systems and its applications to 3-dimensional type-K competitive Lotka-Volterra systems,Nonlinearity,Vol.16,785-801,2003.
12.(with Jifa Jiang),On the finite dimensional dynamical systems with limited competition,Trans.Amer.Math.Soc.,Vol.354,3535-3554,2002.
13.(with Jifa Jiang),The classification of the dynamical behavior of 3- dimensional type K monotone Lotka-Volterra systems,J.Nonlinear Analysis,Vol.51,no.5,749-763,2002.
14.(with Jifa Jiang),On the topological entropy,nonwandering set and chaos of monotone and competitive dynamical systems,Chaos,Solitons and Fractals,Vol.14,689-696 ,2002.
AWARDS AND HONORS:
(1) Zhong Jiaqing Mathematics Award,Chinese Mathematics Society,2005
(2) Excellent Ph.D Thesis Award ,Academia Sinica,2005.
(3) Excellent Ph.D.Thesis Award,The Ministry of Education,2006
工作简历
Research Visitor,July 2010,Taiwan University,Taiwan Normal University and Taiwan Tsinghua University.Host:Prof.J.Guo,S.Hsu.
JSPS Post-doctor Fellow,Nov.2006-Nov.2008,Graduate School of Mathematical Science,University of Tokyo.Host:Prof.Hiroshi Matano.
Research Visitor,July-Aug.2006,Department of Mathematics and Statistics,Memorial University of Newfoundland,Canada.Host:Prof.Xiaoqiang Zhao.
Visiting Fellow,Aug.-Sep.2005,Department of Mathematics,University of New England,Australia.Host:Prof.Yihong Du.
Research Visitor,Sep.2004-Jan.2005,Department of Mathematics and Statistics,Memorial University of Newfoundland,Canada.Host:Prof.Xiaoqiang Zhao.
Professor,July 2010-present Department of Mathematics,University of Science and Technology of China,P.R.China.
Special Professor,July.2009-June 2010,Department of Mathematics,University of Science and Technology of China,P.R.China.
Associate Professor,Jan.2004-June,2009,Department of Mathematics,University of Science and Technology of China,P.R.China.
Visiting Fellow,Sep.-Nov.2003,School of Mathematics and Statistics,University of Sydney,Australia.Host:Prof.Norman Dancer.
Lecturer,June 2001- Dec 2003,Department of Mathematics,University of Science and Technology of China,P.R.China.
教学情况
2001-2002学年第一学期:数理方程 (主讲)。
2001-2002学年第二学期:常微分方程(助教)。
2002-2003学年第一学期:数理方程 (主讲)。
2002-2003学年第二学期:常微分方程(助教)。
2002-2003学年第二学期协助蒋继发教授讲授研究生课程<无限维动力系统几何理论>
2004年以来教学情况:
常微分方程 本科生 2010 秋
数理方程0800901本科生 2009秋
数理方程 0801301 本科生 2009秋
数理方程0700501 本科生 2009春
数理方程0401001 本科生 2006春
数理方程 0200701,20304 本科生 2004春
非线性分析基础 研究生2010春
数学传染病学 研究生2009春
种群动力学 研究生2005秋
反应扩散方程 研究生2005春
科研情况
研究方向:
1.抛物方程动力学及其相关领域
目前主要兴趣:
非均衡与随机介质中的行波现象。含有空间结构的系统(主要由抛物方程及类似方程生成)的动力学的精细刻划。生态学、传染病学及材料学中应用。
主要工作
1.(with Xiaotao Lin and Hiroshi Matano),A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations,Trans.Amer.Math.Soc.,5605-5633,2010.
2.(with Xiaoqiang Zhao),Spreading speeds and traveling waves for abstract monostable evolution systems,Journal of Functional Analysis,259 857–903 ,2010
3.(with Xiaoqiang Zhao),Asymptotic Speeds of Spread and Traveling Waves for Monotone Semiflows with Applications,Communications on Pure and Applied Mathematics,Vol.60,1 – 40,2007.
4.(with Jifa Jiang),Competitive systems with migration and the Poincare-Bendixson theorem for a 4-dimensional case,Quarterly of Applied Mathematics,Vol.64,483-498,2006.
5.(with Yihong Du),Spatially A diffusive competition model with a protection zone,J.Differential Equations,Vol.244,61-86,2008.
6.(with Jifa Jiang and Xiaoqiang Zhao),Saddle Point Behavior for Monotone Semiflows and Reaction-Diffusion Models,J.Differential Equations ,Vol.203,313—330,2004.
7.(with Yingfei Yi and Xiao-qiang Zhao),Spreading speeds and traveling waves for periodic evolution systems,Journal of Differential Equations,Vol.231,Issue 1,57-77,2006.
8.Xing Liang and Jifa Jiang,Discrete infinite dimensional type-K monotone dynamical systems and time-periodic reaction diffusion systems,J.Differential Equations,Vol.189,no.1,318-354,2003.
9.Xing Liang and Jifa Jiang ,On the finite dimensional dynamical systems with limited competition,Trans.Amer.Math.Soc.,Vol.354,3535-3554,2002.
*如果发现导师信息存在错误或者偏差,欢迎随时与我们联系,以便进行更新完善。
中国科学技术大学数学学院导师:刘利刚
刘利刚教授 | |
所在系 | 计算与应用数学系 |
研究方向 | 计算几何 |
办公室 | 1217 |
办公电话 | 0551-63600985 |
电子邮件 | lgliu@ustc.edu.cn |
个人主页 |
个人简介
刘利刚,中国科学技术大学教授,中国科学院“百人计划”。于2001年在浙江大学获得应用数学博士学位;于2001年至2004年期间在微软亚洲研究院从事计算机图形学研究;之后于2004年至2012年期间在浙江大学数学系工作。在2009年至2011年期间,在美国哈佛大学计算机系进行学术访问研究。近五年发表研究论文50余篇,部分论文发表在国际顶级期刊和会议上(包括Siggraph,Siggraph Aisa,Eurographics,IEEE Trans.on Vis.and Comp.Grap.等)。主持国家自然科学基金项目3项,于2012年获得国家自然科学“优秀青年基金”项目。获得国家发明专利一项,计算机软件著作权15项。研究兴趣包括计算机图形学,几何建模与处理,图像处理等,研究主页为:http://staff.ustc.edu.cn/~lgliu
工作简历
1992.9.— 1996.6.浙江大学数学系,应用数学,本科
1996.9.— 2001.6.浙江大学数学系,计算几何与计算机图形学,博士研究生
2001.7.— 2004.7.微软亚洲研究院,网络图形组,副研究员
2004.8.— 2010.12.浙江大学数学系,副教授
2009.5.— 2011.1.哈佛大学计算机系,访问学者
2011.1.—2012.2.浙江大学数学系,教授
2012.3.—至今 中国科技大学数学学院,教授,中科院“百人计划”
教学情况
主讲本科生课程:
《计算机图形学》
主讲研究生课程:
《计算机辅助几何设计》
《数字几何处理》
科研情况
研究兴趣:
计算机图形学
图像处理
几何建模与处理
压缩感知
人机交互
近年论文:
1.Hui Lin,Jizhou Gao,Yu Zhou,Guiliang Lu,Mao Ye,Chenxi Zhang,Ligang Liu,Ruigang Yang.Residential Scene Reconstruction from LiDAR Data.ACM Transactions on Graphics (Proc.SIGGRAPH),2013.
2.Ruimin Wang,Zhouwang Yang,Ligang Liu,Jiansong Deng,Falai Chen.Decoupling Noises and Features via Weighted L1-analysis Compressed Sensing.ACM Transactions on Graphics,2013.
3.Kai Xu,Hao Zhang,Wei Jiang,Ramsay Dyer,Zhi-Quan Cheng,Ligang Liu,Baoquan Chen.Multi-Scale Partial Intrinsic Symmetry Detection.ACM Transactions on Graphics (Proc.SIGGRAPH Asia),31(6),Article 181:1-12,2012.
4.Hongbo Fu,Shizhe Zhou,Ligang Liu,Niloy J.Mitra.Animated Construction of Line Drawings.ACM Transactions on Graphics (Proc.SIGGRAPH ASIA),30(6),Article No.133:1-10,2011.
5.Kai Xu,Hanlin Zheng,Hao Zhang,Daniel Cohen-Or,Ligang Liu,Yueshan Xiong.Photo-Inspired Model-Driven 3D Object Modeling.ACM Transactions on Graphics (Proc.SIGGRAPH),30(4),Article No.80:1-10,2011.
6.Guo Li,Ligang Liu,Hanlin Zheng,Niloy Mitra.Analysis,Reconstruction and Manipulation using Arterial Snakes.ACM Transactions on Graphics (Proc.ACM SIGGRAPH ASIA),29(5),Article No.152:1-10,2010.
7.Shizhe Zhou,Hongbo Fu,Ligang Liu,Daniel Cohen-Or,Xiaoguang Han.Parametric Reshaping of Human Bodies in Images.ACM Transactions on Graphics (Proc.ACM SIGGRAPH),29(4),Article No.126:1-10,2010.
8.Kai Xu,Daniel Cohen-Or,Tao Ju,Ligang Liu,Hao Zhang,Shizhe Zhou,Yueshan Xiong.Feature-Aligned Shape Texturing.ACM Transactions on Graphics (Proc.ACM SIGGRAPH ASIA),28(5),Article No.108:1-7,2009.
9.Kai Xu,Hao Zhang,Andrea Tagliasacchi,Ligang Liu,Guo Li,Min Meng,Yueshan Xiong.Partial Intrinsic Reflectional Symmetry of 3D Shapes.ACM Transactions on Graphics (Proc.ACM SIGGRAPH ASIA),28(5),Article No.138:1-10,2009.
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中国科学技术大学数学学院导师:宁吴庆
宁吴庆副教授 | |
所在系 | 计算与应用数学系 |
研究方向 | 应用数学 |
办公室 | 1429 |
办公电话 | 0551-63602611 |
电子邮件 | wqning@ustc.edu.cn |
个人主页 |
*如果发现导师信息存在错误或者偏差,欢迎随时与我们联系,以便进行更新完善。
中国科学技术大学数学学院导师:童伟华
童伟华副教授 | |
所在系 | 计算与应用数学系 |
研究方向 | 计算几何 |
办公室 | 1205 |
办公电话 | |
电子邮件 | tongwh@ustc.edu.cn |
个人主页 |
个人简介
童伟华,男,1978年10月生于浙江省衢州市。1995年考入中国科学技术大学数学系,学习信息与计算科学专业,于1999年获理学学士学位;随后被免试推荐攻读博士学位,研究方向:计算机辅助几何设计与图形学,导师冯玉瑜教授、陈发来教授,2004年毕业获理学博士学位。
2004年9月留校任教至今。在求学期间,曾分别到华为公司、微软亚洲研究院访问学习一年和半年。2007年-2008年,在韩国首尔国立大学做博士后,导师Tae-wan Kim教授。2010年,在新加坡南洋理工大学做Research fellow,导师Xue-cheng Tai教授。
目前主要从事计算机辅助几何设计与计算机图形学的应用基础研究工作,主要研究内容包括:具有复杂拓扑的几何连续样条曲面,网格模型的特征提取与分割,基于隐式曲面的重构方法,真实感图形绘制,基于PDE的图形与图像处理方法等。
工作简历
2004年9月 - 任教至今
2010年1月 - 2010年8月 南洋理工大学 Research fellow 图像处理组
2007年8月 - 2008年7月 首尔国立大学 博士后 ITLab
2004年3月 - 2004年8月 微软亚洲研究院 访问学生 网络图形组
2000年12月 - 2001年2月 华为技术有限公司 软件工程师 移动智能网
教学情况
主讲课程:
2012年2月 - 2012年7月 《计算机图形学》 60学时 数学学院0900101
2011年9月 - 2012年1月 《几何建模选讲》 80学时 数学学院(研)
2011年9月 - 2012年1月 《复变函数》 60学时 物理学院1020301
2011年2月 - 2011年7月 《线性代数》 80学时 核技术学院1021401
2010年9月 - 2011年1月 《单变量微积分》 120学时 计算机学院1001101
2009年9月 - 2010年1月 《复变函数》 60学时 工程学院0800501
2009年2月 - 2009年7月 《线性代数》 80学时 生命学院0820701
2008年9月 - 2009年1月 《复变函数》 60学时 信息学院0702301
2007年2月 - 2007年7月 《线性代数》 80学时 生命学院0620701
2006年9月 - 2007年1月 《复变函数》 60学时 工程学院0500501
2006年2月 - 2006年7月 《线性代数》 80学时 生命学院0520701
2005年9月 - 2006年1月 《数值方法》 40学时 工程学院0421004
科研情况
主要的研究领域:计算机辅助几何设计与计算机图形学
主持的科研项目:
项目名称:“具有复杂拓扑的几何连续样条曲面构造方法及其应用研究”,
资助类型:国家自然科学基金青年科学基金项目,
项目编号:10901149,
起止年月:2010年1月-2012年12月,
工作职责:负责理论基础研究与算法设计。
项目名称:“数字几何处理中的网格参数化问题研究”,
资助类型:国家自然科学基金数学天元青年基金项目,
项目编号:10726007,
起止年月:2008年1月-2008年12月,
工作职责:负责理论基础研究与算法设计。
项目名称:“数字几何模型处理中的若干重要问题研究”,
资助类型:中国科学技术大学青年科学基金项目,
起止年月:2007年1月-2009年12月,
工作职责:负责理论基础研究与算法设计。
近期已接受或发表的论文:
Wei-hua Tong,Tae-wan Kim.Local and singularity-free G1 triangular spline surfaces using a minimum degree scheme.Computing,86(2-3):235-255.2009.
Wei-hua Tong,Tae-wan Kim.High-order approximation of implicit surfaces by G1 triangular spline surfaces.Computer-Aided Design,41(6):441-455.2009.
Jiansong Deng,Falai Chen,Xin Li,Changqi Hu,Weihua Tong,Zhouwang Yang,Yuyu Feng.Polynomial splines over hierarchical T-meshes.Graphical Models,74(4):74-86.2008.
李秀英,童伟华,冯玉瑜.有理S曲面片与有理三角Bézier曲面片的相互转换.中国科学技术大学学报,38(2):130-137.2008.
童伟华,冯玉瑜,陈发来.层次隐式张量积B-样条曲面及其在曲面重构中的应用.软件学报,17(增刊):11-20.2006.
Tong WeiHua,Chen FaLai,Feng YuYu.A Fast and Adaptive Surface Reconstruction Algorithm Based on the Implicit Tensor-Product B-Spline(ITPBS)Surfaces.In:Proceedings of The Seventh China-Japan Seminar on Numerical Mathematics,161-178,2006.
童伟华,冯玉瑜,陈发来.基于隐式T-样条曲面的重构算法.计算机辅助设计与图形学学报,18(3):358-365.2006.
童伟华,陈发来,冯玉瑜.基于偏微分方程的隐式曲面光顺方法.计算机学报,27(9):1264-1271.2004.
Feng YuYu,Tong WeiHua,Chen XiaoQun.Solution of Difference Equations and Its Applications in CAGD.In:Proceedings of The 8th International Conference on CAD/Graphics(CAD/Graphics 2003),Macao.2003.
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中国科学技术大学数学学院导师:王毅
王毅教授 | |
所在系 | 计算与应用数学系 |
研究方向 | 应用数学 |
办公室 | 1302 |
办公电话 | 0551-63600209 |
电子邮件 | wangyi@ustc.edu.cn |
个人主页 |
个人简介
1975年12月生于安徽贵池。2002年7月于中国科技大学数学系获博士学位;2002年9月-2005年2月芬兰赫尔辛基/图尔库大学作博士后;随后回科大工作(2005.2任副教授,2010.6任教授、博士生导师)。2007年8月-2008年5月美国乔治亚理工学院数学学院访问副教授;2012年9-12月应邀访问美国明尼苏达大学IMA研究所。先后入选全国百篇优秀博士论文、教育部新世纪优秀人才支持计划。目前主要感兴趣领域为非线性微分方程,无限维动力系统及生物数学。
工作简历
2010.6-至今,中国科技大学数学系教授;
2012.9-2012.12,应邀访问美国明尼苏达大学IMA研究所,参加IMA年度主题研究计划。
2008.1-,芬兰赫尔辛基大学数学系客座高级研究员(http://wiki.helsinki.fi/display/huippu/Home);
2005.1-2010.6,中国科技大学数学系副教授;
2008.5.15-6.15,赴美国Auburn大学数学统计系访问;
2008.3.19-3.22,赴美国BYU大学数学系访问;
2007.8-2008.5.,美国乔治亚理工学院数学学院Visiting Associated Professor;
2006.7月-8月,赴加拿大Newfoundland Memorial大学数学统计系访问;
2005.8月-12月,赴芬兰赫尔辛基大学数学统计系访问;
2004.11月-12月,赴波兰Wroclaw工学院数学系访问;
2002.9-2005.2.,芬兰赫尔辛基大学/图尔库大学Posdoc Research Fellow,
2002.2月-3月 赴芬兰Turku大学数学系访问;
Conferences:
·June 4-6,2008,Conference on Mathematical Tools for Multi-Scale Biological Processes,Montana State University,Bozeman,USA.
·May 28,2008,Workshop on Differential Equations and Applications,Auburn University,Auburn,AL,U.S.A.
·May 18-21,2008,The 7th AIMS International Conference at the University of Texas at Arlington,Texas,USA.
·Nov.1-3,2007,7th MSU-UAB Conference on Differential Equations & Computational Simulations,Birmingham,AL,USA.
·June 4-8,2007,The 2nd International Conference on Recent Advances in Bifurcation Theory and Applications of Dynamical Systems,浙江金华.
·Dec.15-19,2006,International Conference on the Bifurcation in Dynamical Systems and Related Topics,北京大学.
·Sept.19-22,2006,Invited guest speaker of Colloquium on Finnish Mathematical Society,University of of Helsinki,Helsinki,Finland.
·Dec.19-20,2005,International workshop on Mathematical Biology,University of Helsinki,Helsinki,Finland.
·July 19-23,2005,International conference of dynamical systems,黄山.
·June 8-12,2005,The 1st International Conference on Recent Advances in Bifurcation Theory and Applications of Dynamical Systems,浙江金华.
·June 21-25,2004,Conference on Computational and Mathematical Population Dynamics,Trento,Italy.
教学情况
S:春季
F:秋季
科大:
2005S,常微分方程
2006S,生物数学导论
2006F,常微分方程
2007S,种群动力学与反应扩散方程
2008F,泛函分析
2009S,泛函分析II
2010F,泛函分析(H)
2011S,数学分析(B2)
2011F,非线性分析基础,泛函分析
2012S,数学分析(B2)
2013S,数学分析(B2)
Georgia Tech:
2007F 2403,Differential Equations
2008S 2401,Calculus III
Helsinki Univeristy:
2009F:Monotone/Competitive Dynamical Systems
科研情况
目前感兴趣的领域是非线性微分方程,无限维动力系统,非自治及随机动力系统,生物数学。
Selected publications:
(with C.Fang and M.Gyllenberg),Floquet bundles for tridiagonal competitive-cooperative systems and the dynamics of time-recurrent systems,SIAM J.Math.Anal.,accepted.
(with Q.Liu),Phase-translation group actions on strongly monotone skew-product semiflows,Trans.Amer.Math.Soc.,364(2012),3781-3804.
(with F.Cao and M.Gyllenberg),Asymptotic Behavior of Comparable Skew-Product Semiflows with Applications,Proceedings of the London Math.Soc.,103(2011),271-293.
(with J.Jiang and J.Mierczynski),Smoothness of the Carrying Simplex for Discrete-time Competitive Dynamical Systems:A Characterization of Neat Embedding,J.Differential Equations 246(2009),1623-1672.
Asymptotic symmetry in strongly monotone skew-product semiflows with applications,Nonlinearity 22(2009),765-782.
(with W.Shen),Carrying Simplices in Nonautonomous and Random Competitive Kolmogorov systems,J.Differential Equations 245(2008),1-29.
(with O.Diekmann and P.Yan),Carrying Simplices in discrete competitive systems and age-structured semelparous populations,Discrete Contin.Dyn.Syst.A 20(2008),37-52.
Dynamics of nonautonomous tridiagonal competitive-cooperative systems of differential equations,Nonlinearity 20(2007),831-843.
(with M.Gyllenberg),Dynamics of the periodic type-K competitive Kolmogorov systems,J.Differential Equations 205(2004),50-76.
(with J.Jiang),Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems,J.Differential Equations 186(2002),611--632.
(with J.Jiang),The general properties of discrete-time competitive dynamical systems,J.Differential Equations 176(2001),470--493.
(with J.Jiang),The convergence of a class of quasimonotone reaction-diffusion systems,J.London Math.Soc.64(2001),395--408.
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中国科学技术大学数学学院导师:夏银华
夏银华副教授 | |
所在系 | 计算与应用数学系 |
研究方向 | 科学计算 |
办公室 | 1213 |
办公电话 | 0551-63607151 |
电子邮件 | yhxia@ustc.edu.cn |
个人主页 |
教学情况
2010.9 -- 2011.1 有限元方法 (主讲)数学系研究生 周四 80学时
*如果发现导师信息存在错误或者偏差,欢迎随时与我们联系,以便进行更新完善。
中国科学技术大学数学学院导师:徐岩
徐岩教授 | |
所在系 | 计算与应用数学系 |
研究方向 | 科学计算 |
办公室 | 1213 |
办公电话 | 0551-63607151 |
电子邮件 | yxu@ustc.edu.cn |
个人主页 |
个人简介
徐岩,江苏徐州人。2005年于中国科学技术大学数学系获计算数学博士学位,导师舒其望教授。2005年7月留校,曾先后到荷兰Twente大学、美国Brown大学、德国Freiburg大学、香港城市大学等访问工作。主要从事间断有限元算法的研究工作,主持Alexander von Humboldt研究基金、 国家自然科学基金、中科院、教育部基金、霍英东基金会等多项科学基金项目的研究。2008年获全国优秀博士学位论文奖。2009年入选教育部“新世纪优秀人才支持计划”。2007年12月晋升为副教授,2010年5月起担任博士生导师,2012年6月晋升为教授。
工作简历
2005.7-2007.12 中国科学技术大学数学系 讲师
2007.12-2012.6 中国科学技术大学数学科学学院 副教授
2010.5-至今 中国科学技术大学数学科学学院 博士生导师
2012.6-至今 中国科学技术大学数学科学学院 教授
国外访问
2005.2-2005.3 荷兰Twente大学应用数学系 访问学者
2006.7-2006.8 美国Brown大学应用数学系 访问学者
2005.8-2007.7 荷兰Twente大学应用数学系 博士后
2009.1-2009.2 美国Brown大学应用数学系 访问学者
2009.7-2010.8 德国Freiburg大学应用数学系 洪堡学者
2010.1-2010.2 美国Brown大学应用数学系 访问学者
2011.1-2011.2 香港城市大学数学系 访问学者
会议报告
Mini-Symposium on ``Discontinuous Galerkin Methods Theory and Applications'',at Sixth World Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics,Beijing,China,Sept.5--10,2004.
Mini-Symposium on ``High order numerical methods for convection dominated problems and applications'',Second International Conference on Scientific
Computing and Partial Differential Equations and First East Asia SIAM Conference (SCPDE05) ,Hong Kong Baptist University,December 12-16,2005.
Mini-Symposium on ``Discontinuous Galerkin Methods'',at Seven World Congress on Computational Mechanics (WCCM VII) ,Los Angeles,California,July 16 - 22,2006.
Workshop on discontinuous Galerkin method and its applications,Beijing International Center for Computational Physics,June 13-17,2007,Beijing,P.R.China.
Mini-Symposium on ``High order discontinuous Galerkin methods and application'',International Conference On Spectral and High Order Methods (ICOSAHOM07) ,Institute of Computational Mathematics Chinese Academy of Sciences,Beijing,P.R.China June 18- 22,2007.
The 8th Congress on Computational Mathematics of China ,Sichuan University,Sichuan Chengdu,P.R.China,Oct.25-29,2007.
Seminar of scientific computing group,University of Science and Technology of China,Anhui,Hefei,P.R.China,Nov 23,2007.
Workshop: Discontinuous Galerkin Methods for Partial Differential Equations ,Banff International Research Station,Banff,AB,Canada,Nov 25-30,2007.International Conference on Applied Mathematics: Modeling,Analysis and Computation,June 1-5,2008,City University of Hong Kong,Hong Kong.
2008 Frontiers of computational and applied mathematics ,July 19-22,2008,University of Science and Technology of China,Hefei,China.
International Conference on Approximation in Scientific Computing (ICASC08) ,Oct.26-30,2008,Beijing,China.
A Workshop on Modern Numerical Methods in Fluid Mechanics,Dec.26--28,2008,Capital Normal University,Beijing,China.
Seminar of scientific computing group,Brown University,Providence,RI,USA,Feb.6,2009.
Seminar of Institute of Applied Mathematics,Freiburg University,Freiburg,Germany,Dec.8,2009.
Seminar of scientific computing group,Brown University,Providence,RI,USA,Feb.19,2010.
Minisymposium on "Discontinuous Galerkin Methods for Partial Differential Equations",Joint SIAM/RSME-SCM-SEMA Meeting: Emerging Topics in Dynamical Systems and Partial Differential Equations (DSPDEs'10) ,May 31st--June 4th,2010,Barcelona,Spain.
The thirteenth International Conference on "Hyperbolic Problems: Theory,Numerics and Applications" (HYP2010) ,June 15--June19,2010,Beijing,China.
Colloquium of Institute for Mathematics,Wuerzburg University,Wuerzburg,Germany,July 9,2010.
International Conference on Scientific Computing in Aerodynamics,Beihang University,Beijing,China,November 26 - 28,2010.
Seminar on Applied Mathematics,Department of Mathematics,The Hong Kong University of Science and Technology,Hong Kong,January 18,2011.
Minisymposium on ``discontinuous Galerkin method'',International Conference on Interdisciplinary Applied and Computational Mathematics(ICIACM) ,Zhejiang University,Hangzhou,China,June 17-21,2011.
Minisymposium "Discontinuous Galerkin method for PDEs",7th International Congress on Industrial and Applied Mathematics - (ICIAM 2011),Vancouver,BC,Canada,July 18-22,2011.
The 1st "Symposium on Computational Science,Engineering and Finance" ,Kunming,China,July 28-31,2011.
The fifth Workshop on Young Chinese Computational Mathematicians ,
Shanghai Jiao Tong University,Shanghai,China,August 13-14,2011.
USTC/NUS Mathematical Workshop,University of Science and Technology of China,Hefei,Anhui,China,September 19-21,2011.
Cross-Strait Conference on integrable systems and related topics,Changshu,Jiangsu,China,October 4-8,2011.
The 11th Congress of Chinese Mathematical Society ,Sichuan,Chengdu,China,November 13-17.
International Conference on Applied Mathematics (ICAM2012) ,May 28-June 1,2012,City University of Hong Kong,Hong Kong.
The Second International Conference on Scientific Computing in Aerodynamics ,October 18-20,2012,Beihang University,Beijing.
The 8th International Conference on Computational Physics (ICCP8) ,January 7-11,2013,Hong Kong Baptist University,Hong Kong.
The sixth International Congress of Chinese Mathematicians (ICCM) ,July 14-19,2013,National Taiwan University,Taipei.
会议海报
31th Conference of the Dutch-Flemish Numerical Analysis Communities,Woudschoten,Zeist,the Netherlands,October 11-13,2006.
参加会议
International Workshop on Scientific Computing,on the occasion of Zhong-Ci Shi's 70th birthday,Institute of Computational Mathematics,Chinese Academy of Sciences,Beijing,P.R.China,December 5--6,2003.
International Conference on Frontiers of Applied Mathematics,Morningside Center of Mathematics,Chinese Academy of Sciences,Beijing,P.R.China,June 14--17,2004.
Summer School on Multiscale Modelings and Simulations,Morningside Center of Mathematics,Chinese Academy of Sciences,Beijing,P.R.China,June 10 -- August 9,2004.
Workshop on Adaptive Method for Compressible Flows,University of Science and Technology of China,Anhui,Hefei,P.R.China,June 28 -- July 2,2004.
International Conference on Control,Partial Differential Equations and Scientific Computing,dedicated to late Professor J.-L.Lions,Beijing,P.R.China,September 13--16,2004.
30th Conference of the Dutch-Flemish Numerical Analysis Communities,Woudschoten,Zeist,the Netherlands,October 12-14,2005.
34th VKI CFD Lecture Series Very-High Order Discretization,Von Karman Institute For Fluid Dynamics,Brussels,Belgium,November 14-18,2005
International Workshop on Scientific Computing,ON THE OCCASION OF Cui Jun-zhi's 70 TH BIRTHDAY ,Institute of Computational Mathematics,Chinese Academy of Sciences,Beijing,China,June 7-8,2008.
Advances in Mathematics and Its Applications,University of Science and Technology of China,Hefei,China,July 17-18,2008.
Workshop Adaptive Finite Elements: Analysis and Application,Kirchzarten,Germany,September 7-11,2009.
Workshop: Numerical Methods for Partial Differential Equations on Surfaces,Department of Applied Mathematics,University of Freiburg,Freiburg,Germany,September 14-17,2009.
Chinese-German Workshop on Computational and Applied Mathematics 2009 (3rd Workshop),University of Heidelberg,Heidelberg,Germany,September 28 - October 2,2009.
The fourth Russian-German advanced research workshop on computational science and high performance computing,Department of Applied Mathematics,University of Freiburg,Freiburg ,Germany,October 12-16,2009.
Network Meeting of the Alexander von Humboldt Foundation,Heidelberg,Germany,November 24-26,2009.
Annual Meeting of the Alexander von Humboldt Foundation,Berlin,Germany,June 21-23,2010.
Workshop on Computational Mathematics and Scientific Computing,Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and Systems Science,Beijing,China,September 9 - 11,2010.
International conference on the computational Sciences,July 16-20,2012,Shanghai Normal University,Shanghai.
教学情况
2007.9 -- 2008.1 数学分析 (辅导) 数学系本科生 120人 周六 120学时
2008.2 -- 2008.7 计算方法 (主讲) 2006级9系 97人 周二 40学时
2008.2 -- 2008.7 偏微分方程初值问题的差分方法 (主讲) 数学系研究生 20人 周四 80学时
2008.9 -- 2009.1 非线性双曲方程的数值方法 (主讲) 数学系研究生 周四 80学时
2009.2 -- 2009.7 计算方法 (主讲) 2006级计算机系 123人 周二 40学时
2009.2 -- 2009.7 计算方法 (主讲) 2007级工程系 85人 周二 40学时
2011.2 -- 2011.6 偏微分方程数值方法 (主讲) 数学系研究生 19人 周四 80学时
2011.9 -- 2012.1 单变量微积分 (主讲) 2011计算机学院本科生 65人 周六 120学时
2012.2 -- 2012.6 数值分析(主讲) 数学系本科生 77人 周四 60学时
2012.2 -- 2012.6 非线性方程数值方法选讲 (主讲) 数学系研究生 6人 周四 80学时
2010.9 -- 2011.1 单变量微积分 (主讲) 2010生命科学学院本科生 107人 周六 120学时
2012.9 -- 2013.1 单变量微积分 (主讲) 2012计算机学院本科生 周六 120学时
2013.2 -- 2013.6 数值分析 (主讲) 数学系本科生 周四 60学时
2013.2 -- 2013.6 多尺度建模选讲 (主讲) 数学系研究生 周四 80学时
2013.9 -- 2014.1 单变量微积分 (主讲) 2013物理学院本科生 周六 120学时
科研情况
研究方向:偏微分方程数值解
获奖情况:
中国科学院优秀博士学位论文奖,2007年
全国优秀博士学位论文奖,2008年
中国科学技术大学校友基金会优秀青年教师奖,2010年
中国科学技术大学第七届"困学守望"优秀教学奖,2012年
获得基金:
国家自然科学面上基金(10971211) 2010.1—2012.12 25万元 主持
教育部优博专项资金 2009.1—2013.12 50万元 主持
霍英东青年教师基础研究课题 2012.1—2014.12 2万美金 主持
教育部新世纪优秀人才支持计划 2010.1—2012.12 50万元 主持
国家自然科学基金重点项目 2011.1—2014.12 140万元 独立参加人
国家自然科学青年基金(10601055) 2007.1—2009.12 16万元 主持
中科院优博专项资金 2008.1—2010.12 20万元 主持
中科院优博专项资金 2009.1—2011.12 20万元 主持
留学回国人员科研启动基金 2008.1—2011.12 2万元 主持
中央高校基本科研专项资金 2010.1—2011.12 10万元 主持
指导研究生
博士生 季良月(2012.7毕业),目前职位:Dunham Jackson Assistant Professor,University of Minnesota.
博士生 郭瑞晗
博士生 江金凤
博士生 郭莉
博士生 鲁仲杰
硕士生 李振宇
硕士生 赵建丽
已发表或已接受论文
MathSciNet Index
ResearcherID
Google Scholar Citations
1.Y.Xu,The convergence and stability of difference solutions for Burgers-KdV equation (in Chinese),Journal ofTianjinNormalUniversity(Natural Science Edition),22 (2002),pp.33-37.
2.Y.Xu and C.-W.Shu,Local discontinuous Galerkin methods for three classes of nonlinear wave equations,Journal of Computational Mathematics,22 (2004),pp.250-274.
3.Y.Xu and C.-W.Shu,Local discontinuous Galerkin methods for nonlinear Schrodinger equations ,Journal of Computational Physics,205 (2005),pp.72-97.
4.Y.Xu,The convergence and stability of difference solutions for a class of coupled KdV equation (in Chinese),Journal of Engineering Mathematics,22(2005),pp.47-52.
5.Y.Xu and C.-W.Shu,Local discontinuous Galerkin methods for two classes of two dimensional nonlinear wave equations ,Physica D,208 (2005),pp.21-58.
6.Y.Xu and C.-W.Shu,Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations ,Computer Methods in Applied Mechanics and Engineering,195 (2006),pp.3430-3447.
7.Y.Xu and C.-W.Shu,Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations,Computer Methods in Applied Mechanics and Engineering,196 (2007),pp.3805-3822.
8.J.J.W.van der Vegt and Y.Xu,Space-time discontinuous Galerkin method for nonlinear water waves,Journal of Computational Physics,224 (2007),pp.17-39.
9.Y.Xia,Y.Xu and C.-W.Shu,Efficient time discretization for local discontinuous Galerkin methods,Discrete and Continuous Dynamical Systems - Series B,8 (2007),pp.677-693.
10.Y.Xia,Y.Xu and C.-W.Shu,Local discontinuous Galerkin methods for the Cahn-Hilliard type equations,Journal of Computational Physics,227 (2007),pp.472-491.
11.Y.Xu and C.-W.Shu,A local discontinuous Galerkin method for the Camassa-Holm equation,SIAM Journal on Numerical Analysis,46 (2008),pp.1998-2021.
12.Y.Xu,J.J.W.van der Vegt and O.Bokhove,Discontinuous Hamiltonian finite element method for bilinear Poisson brackets,Journal of Scientific Computing,35 (2008),pp.241-265.
13.Y.Xu and C.-W.Shu,Local discontinuous Galerkin method for the Hunter-Saxton equation and its zero-viscosity and zero-dispersion limit,SIAM Journal on Scientific Computing,31 (2008),pp.1249-1268
14.Y.Xia,Y.Xu and C.-W.Shu,Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system,Communications in Computational Physics,5 (2009),pp.821-835.
15.Y.Xu and C.-W.Shu,Local discontinuous Galerkin method for surface diffusion and Willmore flow of graphs,Journal of Scientific Computing,40 (2009),pp.375-390.
16.Y.Xu and C.-W.Shu,Local discontinuous Galerkin methods for high-order time-dependent partial differential equations,Communications in Computational Physics,7 (2010),pp.1-46.
17.Y.Xia,Y.Xu and C.-W.Shu,Local discontinuous Galerkin methods for the generalized Zakharov system,Journal of Computational Physics,229(2010),pp.1238-1259.
18.Y.Xu and C.-W.Shu,Dissipative numerical methods for the Hunter-Saxton equation ,Journal of Computational Mathematics,28(2010),pp.606-620.
19.L.Ji and Y.Xu,Optimal error estimates of the local discontinuous Galerkin method for Willmore flow of graphs on Cartesian meshes,International Journal of Numerical Analysis & Modeling,8(2011),pp.252-283.
20.Y.Xu and C.-W.Shu,Local discontinuous Galerkin methods for the Degasperis-Procesi equation,Communications in Computational Physics,10(2011),pp.474-508.
21.Y.Xu and C.-W.Shu,Optimal error estimates of the semi-discrete local discontinuous Galerkin methods for high order wave equations,SIAM Journal on Numerical Analysis,50(2012),pp.79-104.
22.L.Ji and Y.Xu,Optimal error estimates of the local discontinuous Galerkin method for surface diffusion of graphs on Cartesian meshes,Journal of Scientific Computing,51(2012),pp.1-27.
23.X.Z.Li,Y.Xu and Y.S.Li,Investigation of multi-soliton,multi-cuspon solutions and their interaction of the Camassa-Holm equation,Chinese Annals of Mathematics,Series B,33B(2012),pp.225-246.
24.L.Ji,Y.Xu and J.K.Ryan,Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions,Mathematics of Computation,81(2012),pp.1929-1950.
25.L.Ji,Y.Xu and J.K.Ryan,Negative order norm estimates for nonlinear hyperbolic conservation laws,Journal of Scientific Computing,54(2013),pp.531-548.
26.R.Guo and Y.Xu,Efficient solvers of discontinuous Galerkin discretization for the Cahn-Hilliard equations,Journal of Scientific Computing,to appear.
27.L.Guo and Y.Xu,Local discontinuous Galerkin methods for the 2D simulation of quantum transport phenomena,Communications in Computational Physics,to appear.
会议论文
28.Y.Xu and C.-W.Shu,Preliminary results in local discontinuous Galerkin methods for two classes of 2D nonlinear wave equations (Abstract),in Abstracts of the Papers Presented at the Minisymposia Sessions of the Sixth World Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics,Z.H.Yao,M.W.Yuan and W.X.Zhong,editors,Tsinghua University Press Springer,2004,p.212.
29.Y.Xu and J.J.W.van der Vegt,Space-time discontinuous Galerkin method for large amplitude nonlinear water waves,Computational Fluid Dynamics 2006: Proceedings of the Fourth International Conference on Computational Fluid Dynamics,ICCFD,Ghent,Belgium,July 10-14,2006,H.Deconinck and E.Dick,(Eds.),Springer,2009,pp.53-58.
预印本
30.Y.Xia and Y.Xu,Conservative local discontinuous Galerkin methods for the Schödinger-KdV system,submitted to Communications in Computational Physics.
31.L.Tian,Y.Xu,J.G.M.Kuerten and J.J.W.Van der Vegt,A local discontinuous Galerkin method for the propagation of phase transition in solids and fluids,submitted to Journal of Scientific Computing.
32.J.Jiang,Y.Xu,D.Dai,A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar,submitted to Journal of Computational Physics.
33.R.Guo,L.Ji and Y.Xu,Numerical simulation and Error Estimates of the Local Discontinuous Galerkin Method for the Allen-Cahn Equation,submitted to Journal of Computational and Applied Mathematics.
34.R.Guo and Y.Xu,Fast solver for the local discontinuous Galerkin discretization of the KdV type equations,submitted to Journal of Scientific Computing.
35.R.Guo,Y.Xu and Z.Xu,Local discontinuous Galerkin methods for the functionalized Cahn-Hilliard equation,submitted toApplied Numerical Mathematics.
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