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

研究领域

  • 数学物理中可积系统相关的分析与计算:正反谱问题、正交多项式理论、数值数学、随机矩阵,代数组合等

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) An application of a qd-type discrete hungry Lotka-Volterra equation over finite fields to a decoding problem, STUDIES IN APPLIED MATHEMATICS, 2023, 通讯作者
(2) Generalized discrete Lotka-Volterra equation, orthogonal polynomials and generalized epsilon algorithm, NUMERICAL ALGORITHMS, 2023, 通讯作者
(3) Preface to the special issue: Orthogonal polynomials and integrable systems, Peakons, Toda lattices and Painlevé transcendents, PHYSICA D: NONLINEAR PHENOMENA, 2023, 第 1 作者
(4) Hermite--Pad\'{e} approximations with Pfaffian structures: Novikov peakon equation and integrable lattices, ADVANCES IN MATHEMATICS, 2022, 通讯作者
(5) A generalization of Laurent biorthogonal polynomials and related integrable lattices, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 通讯作者
(6) Laurent biorthogonal polynomials and Painlevé-type equations, Proc. Amer. Math. Soc., 2022, 通讯作者
(7) Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame, International Mathematics Research Notices, 2021, 第 2 作者
(8) Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via pfaffians, NUMERICAL ALGORITHMS, 2021, 通讯作者
(9) Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices, JOURNAL OF NONLINEAR SCIENCE, 2021, 第 1 作者
(10) Decoding algorithm as a moment problem related to the extended Lotka-Volterra system, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 通讯作者
(11) Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order, NUMERICAL ALGORITHMS, 2020, 第 1 作者
(12) Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 通讯作者
(13) Moment modification, multipeakons, and nonisospectral generalizations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 通讯作者
(14) Lax Integrability and the Peakon Problem for the Modified Camassa-Holm Equation, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 第 1 作者
(15) On moving frames and Toda lattices of BKP and CKP types, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 第 2 作者
(16) An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type, ADVANCES IN MATHEMATICS, 2018, 第 1 作者
(17) Partial-Skew-Orthogonal Polynomials and Related Integrable Lattices with Pfaffian Tau-Functions, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 第 1 作者
(18) The dynamics of conservative peakons in a family of u(1)-invariant integrable equations of nls-hirota type, STUDIES IN APPLIED MATHEMATICS, 2018, 第 2 作者
(19) Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type, NONLINEARITY, 2018, 通讯作者
(20) A new integrable convergence acceleration algorithm for computing Brezinski–Durbin–Redivo-Zaglia’s sequence transformation via pfaffians, NUMERICAL ALGORITHMS, 2018, 第 1 作者
(21) Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property, Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property, SCIENCE CHINA MATHEMATICS, 2018, 第 1 作者
(22) Liouville Integrability of Conservative Peakons for a Modified CH equation, JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2017, 通讯作者
(23) Combinatorial proofs of addition formulas, ELECTRONIC JOURNAL OF COMBINATORICS, 2016, 第 1 作者
(24) Lax Integrability of the Modified Camassa-Holm Equation and the Concept of Peakons, JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2016, 通讯作者
(25) On three-term recurrence and Christoffel-Darboux identity for orthogonal rational functions on the real line, INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2016, 通讯作者
(26) Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice, ADVANCES IN MATHEMATICS, 2016, 第 1 作者
(27) HANKEL DETERMINANT SOLUTIONS TO SEVERAL DISCRETE INTEGRABLE SYSTEMS AND THE LAURENT PROPERTY, SIAM JOURNAL ON DISCRETE MATHEMATICS, 2015, 通讯作者
(28) About several classes of bi-orthogonal polynomials and discrete integrable systems, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 通讯作者
(29) Integrable discretization of soliton equations via bilinear method and B¨acklund transformation, SCIENCE CHINA-MATHEMATICS, 2015, 第 2 作者
(30) Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions, NONLINEARITY, 2015, 通讯作者
(31) A generalized nonisospectral Camassa–Holm equation and its multipeakon solutions, ADVANCES IN MATHEMATICS, 2014, 通讯作者
(32) A direct method for evaluating some nice Hankel determinants and proofs of several conjectures, LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 通讯作者
(33) An Extended Multistep Shanks Transformation and Convergence Acceleration Algorithm with Their Convergence and Stability Analysis, NUMERISCHE MATHEMATIK, 2013, 第 2 作者
(34) An integrable semi-discrete equation and combinatorial numbers with their combinatorial interpretations, JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 通讯作者
(35) A conjecture based on Somos-4 sequence and its extension, LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 通讯作者
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, 负责人, 国家任务, 2018-01--2020-12
( 2 ) 基金委重点项目, 参与, 国家任务, 2018-01--2022-12
( 3 ) 中国科学院青年创新促进会, 负责人, 中国科学院计划, 2019-01--2022-12
( 4 ) 若干双正交有理函数的可积结构及其应用, 负责人, 国家任务, 2022-01--2025-12
( 5 ) 国家自然科学基金委优秀青年科学基金, 负责人, 国家任务, 2023-01--2025-12