基本信息

常向科  男  博导  中国科学院数学与系统科学研究院
电子邮件: changxk@lsec.cc.ac.cn
通信地址: 北京市海淀区中关村东路55号科技综合楼404
邮政编码: 100190

招生信息

   
招生专业
070102-计算数学
070104-应用数学
招生方向
可积系统与数值算法
数学物理

教育背景

2009-09--2014-06   中国科学院数学与系统科学研究院   理学博士
2005-09--2009-06   北京理工大学   理学学士

工作经历

   
工作简历
2019-04~现在, 中国科学院数学与系统科学研究院, 副研究员
2017-11~2019-03,中国科学院数学与系统科学研究院计算数学所, 副研究员
2016-07~2017-10,中国科学院数学与系统科学研究院, 助理研究员
2014-11~2017-06,University of Saskatchewan, PIMS 博士后、访问学者

专利与奖励

   
奖励信息
(1) 中国科学院数学与系统科学研究院陈景润未来之星, , 研究所(学校), 2019
(2) 中国科学院数学与系统科学研究院年度重要科研进展奖, , 研究所(学校), 2018
(3) 中国科学院数学与系统科学研究院突出成果奖, 研究所(学校), 2016
(4) 中国科学院百篇优秀博士论文奖, 部委级, 2015
(5) 中国科学院院长奖学金, 部委级, 2014

出版信息

   
发表论文
[1] Chang, Xiang-Ke. Hermite--Pad\'{e} approximations with Pfaffian structures: Novikov peakon equation and integrable lattices. ADVANCES IN MATHEMATICS[J]. 2022, 402: 108338-108338, https://doi.org/10.1016/J.AIM.2022.108338.
[2] Wang Bao, Chang, Xiang-Ke, Hu, Xing-Biao, li shihao. Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame. International Mathematics Research Notices[J]. 2021, 2021(14): 11050-11092, https://academic.oup.com/imrn/article/2021/14/11050/5713441.
[3] Chang, XiangKe, Li, ShiHao, Tsujimoto, Satoshi, Yu, GuoFu. Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices. JOURNAL OF NONLINEAR SCIENCE[J]. 2021, 31(2): https://www.webofscience.com/wos/woscc/full-record/WOS:000626523300001.
[4] Chang, XiangKe, Hu, XingBiao, Szmigielski, Jacek, Zhedanov, Alexei. Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials. COMMUNICATIONS IN MATHEMATICAL PHYSICS[J]. 2020, 377(1): 387-419, https://www.webofscience.com/wos/woscc/full-record/WOS:000496214400002.
[5] Chang, XiangKe, Hu, XingBiao, Li, ShiHao. Moment modification, multipeakons, and nonisospectral generalizations. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2018, 265(9): 3858-3887, http://dx.doi.org/10.1016/j.jde.2018.05.020.
[6] Chang, Xiangke, Szmigielski, Jacek. Lax Integrability and the Peakon Problem for the Modified Camassa-Holm Equation. COMMUNICATIONS IN MATHEMATICAL PHYSICS[J]. 2018, 358(1): 295-341, https://www.webofscience.com/wos/woscc/full-record/WOS:000426904200009.
[7] Chang, XiangKe, Hu, XingBiao, Li, ShiHao, Zhao, JunXiao. An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type. ADVANCES IN MATHEMATICS[J]. 2018, 338: 1077-1118, http://ir.amss.ac.cn/handle/2S8OKBNM/31655.
[8] Chang, XiangKe, He, Yi, Hu, XingBiao, Li, ShiHao. Partial-Skew-Orthogonal Polynomials and Related Integrable Lattices with Pfaffian Tau-Functions. COMMUNICATIONS IN MATHEMATICAL PHYSICS[J]. 2018, 364(3): 1069-1119, http://ir.wipm.ac.cn/handle/112942/13435.
[9] Anco, Stephen C, Chang, Xiangke, Szmigielski, Jacek. The dynamics of conservative peakons in a family of U(1)-invariant integrable equations of NLS-Hirota type. STUDIES IN APPLIED MATHEMATICS[J]. 2018, 141(4): 680-713, http://ir.amss.ac.cn/handle/2S8OKBNM/31715.
[10] Chang, XiangKe, Hu, XingBiao, Li, ShiHao. Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type. NONLINEARITY[J]. 2018, 31(10): 4746-4775, https://doi.org/10.1088/1361-6544/aad52c.
[11] Chang, XiangKe, He, Yi, Hu, XingBiao, Li, ShiHao. A new integrable convergence acceleration algorithm for computing Brezinski-Durbin-Redivo-Zaglia's sequence transformation via pfaffians. NUMERICAL ALGORITHMS[J]. 2018, 78(1): 87-106, https://www.webofscience.com/wos/woscc/full-record/WOS:000430408100005.
[12] Chang, Xiangke, He, Yi, Hu, Xingbiao, Li, Shihao, Tam, Honwah, Zhang, Yingnan. Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property. SCIENCE CHINA-MATHEMATICS[J]. 2018, 61(6): 1063-1078, http://lib.cqvip.com/Qikan/Article/Detail?id=675306514.
[13] Chang, XiangKe, Hu, XingBiao, Szmigielski, Jacek. Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice. ADVANCES IN MATHEMATICS[J]. 2016, 299: 1-35, http://dx.doi.org/10.1016/j.aim.2016.05.004.
[14] Chang, XiangKe, Hu, XingBiao, Xin, Guoce. HANKEL DETERMINANT SOLUTIONS TO SEVERAL DISCRETE INTEGRABLE SYSTEMS AND THE LAURENT PROPERTY. SIAM JOURNAL ON DISCRETE MATHEMATICS[J]. 2015, 29(1): 667-682, https://www.webofscience.com/wos/woscc/full-record/WOS:000352224600040.
[15] Chen, XiaoMin, Chang, XiangKe, Sun, JianQing, Hu, XingBiao, Yeh, YeongNan. Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions. NONLINEARITY[J]. 2015, 28(7): 2279-2306, https://www.webofscience.com/wos/woscc/full-record/WOS:000357106000011.
[16] Chang, Xiangke, Chen, Xiaomin, Hu, Xingbiao. A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions. ADVANCES IN MATHEMATICS[J]. 2014, 263: 154-177, http://dx.doi.org/10.1016/j.aim.2014.06.016.
[17] Sun, JianQing, Chang, XiangKe, He, Yi, Hu, XingBiao. An Extended Multistep Shanks Transformation and Convergence Acceleration Algorithm with Their Convergence and Stability Analysis. NUMERISCHE MATHEMATIK[J]. 2013, 125(4): 785-809, http://ir.wipm.ac.cn/handle/112942/944.
发表著作
(1) 可积系统与数值算法, 科学出版社, 2014-12, 第 4 作者

科研活动

   
科研项目
( 1 ) 尖峰孤子相关的若干等谱及非等谱问题, 主持, 国家级, 2018-01--2020-12
( 2 ) 怪波的数学理论及其在非线性系统中的应用, 参与, 国家级, 2018-01--2022-12