基本信息
胡星标  男  博导  中国科学院数学与系统科学研究院
电子邮件: hxb@lsec.cc.ac.cn
通信地址: 北京市海淀区中关村东路55号
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, 孤子理论
可积数值算法

教育背景

1987-10--1990-05   中国科学院计算中心   博士学位
1983-09--1986-05   同济大学   硕士学位
1979-10--1983-07   杭州大学   学士学位

工作经历

   
工作简历
1999-01~现在, 中国科学院数学与系统科学研究院, 研究员
1997-06~1998-12,中国科学院计算数学所, 研究员
1995-12~1997-05,中国科学院计算中心, 研究员
1992-01~1995-11,中国科学院计算中心, 副研究员
1990-06~1991-12,中国科学院计算中心, 助理研究员
1987-10~1990-05,中国科学院计算中心, 博士学位
1986-06~1987-09,同济大学, 助教
1983-09~1986-05,同济大学, 硕士学位
1979-10~1983-07,杭州大学, 学士学位

教授课程

微积分

出版信息

   
发表论文
(1) Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame, International Mathematics Research Notices, 2021, 第 3 作者
(2) Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021, 第 2 作者
(3) Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via pfaffians, NUMERICAL ALGORITHMS, 2021, 第 4 作者
(4) Duality of positive and negative integrable hierarchies via relativistically invariant fields, JOURNAL OF HIGH ENERGY PHYSICS, 2021, 
(5) Numerical calculation of N -periodic wave solutions to coupled KdV–Toda-type equations, Proceedings. Mathematical, Physical, and Engineering Sciences, 2021, 第 2 作者
(6) Decoding algorithm as a moment problem related to the extended Lotka-Volterra system, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 第 3 作者
(7) Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 第 1 作者
(8) Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order, NUMERICAL ALGORITHMS, 2020, 第 3 作者
(9) Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 第 2 作者
(10) A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 第 2 作者
(11) Moment modification, multipeakons, and nonisospectral generalizations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 第 2 作者
(12) Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants, NONLINEARITY, 2018, 第 2 作者
(13) A semi-discrete modified KdV equation, JOURNAL OF MATHEMATICAL PHYSICS, 2018, 第 2 作者
(14) An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type, ADVANCES IN MATHEMATICS, 2018, 第 2 作者
(15) On moving frames and Toda lattices of BKP and CKP types, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 第 3 作者
(16) Partial-Skew-Orthogonal Polynomials and Related Integrable Lattices with Pfaffian Tau-Functions, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 第 3 作者
(17) Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property, Science China Mathematics,, 2018, 第 3 作者
(18) Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type, NONLINEARITY, 2018, 第 2 作者
(19) On moving frames and Toda lattices of BKP and CKP type, J. Phys. A, 2018, 第 1 作者
(20) A numerical study of the 3-periodic wave solutions to KdV-type equations, JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 第 2 作者
(21) A new integrable convergence acceleration algorithm for computing Brezinski–Durbin–Redivo-Zaglia’s sequence transformation via pfaffians, NUMERICAL ALGORITHMS, 2018, 第 3 作者
(22) 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 3 作者
(23) The partition function of the Bures ensembles as the τ-function of BKP and DKP hierarchies: continuous and discrete, Journal of Physics A: Mathematical and Theoretical, 2017, 第 1 作者
(24) The partition function of the Bures ensemble as the tau-function of BKP and DKP hierarchies: continuous and discrete, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 第 1 作者
(25) Combinatorial proofs of addition formulas, ELECTRONIC JOURNAL OF COMBINATORICS, 2016, 第 2 作者
(26) A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms, EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2016, 通讯作者
(27) Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice, ADVANCES IN MATHEMATICS, 2016, 第 2 作者
(28) HANKEL DETERMINANT SOLUTIONS TO SEVERAL DISCRETE INTEGRABLE SYSTEMS AND THE LAURENT PROPERTY, SIAM JOURNAL ON DISCRETE MATHEMATICS, 2015, 第 2 作者
(29) About several classes of bi-orthogonal polynomials and discrete integrable systems, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 第 3 作者
(30) Integrable discretization of soliton equations via bilinear method and B¨acklund transformation, SCIENCE CHINA-MATHEMATICS, 2015, 第 4 作者
(31) Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions, NONLINEARITY, 2015, 第 4 作者
(32) A generalized nonisospectral Camassa–Holm equation and its multipeakon solutions, ADVANCES IN MATHEMATICS, 2014, 第 3 作者
(33) Integrable discretization of ‘time’ and its application on the Fourier pseudospectral method to the Korteweg–de Vries equation, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 第 3 作者
(34) A direct method for evaluating some nice Hankel determinants and proofs of several conjectures, LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 第 2 作者
(35) Convergence acceleration algorithms related to a generalized E-transformation and its particular cases, JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2013, 第 2 作者
(36) An Extended Multistep Shanks Transformation and Convergence Acceleration Algorithm with Their Convergence and Stability Analysis, NUMERISCHE MATHEMATIK, 2013, 第 4 作者
(37) An integrable semi-discrete equation and combinatorial numbers with their combinatorial interpretations, JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 第 2 作者
(38) Recent Development in Symmetries and Integrability of Difference Equations, FRONTIERS OF MATHEMATICS IN CHINA, 2013, 通讯作者
(39) Recent Development in Symmetries and Integrability of Difference Equations, Recent Development in Symmetries and Integrability of Difference Equations, 中国数学前沿:英文版, 2013, 第 1 作者
(40) On the three-dimensional three-wave equation with self-consistent sources, PHYSICS LETTERS A, 2012, 第 2 作者
(41) MULTISTEP epsilon-ALGORITHM, SHANKS' TRANSFORMATION, AND THE LOTKA-VOLTERRA SYSTEM BY HIROTA'S METHOD, MATHEMATICS OF COMPUTATION, 2012, 第 3 作者
(42) 加速方法数学建模的若干研究, 数学建模及其应用, 2012, 第 2 作者
(43) A conjecture based on Somos-4 sequence and its extension, LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 第 2 作者
(44) Q-difference and confluent forms of the lattice Boussinesq equation and the relevant convergence acceleration algorithms, JOURNAL OF MATHEMATICAL PHYSICS, 2011, 第 3 作者
(45) Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 通讯作者
(46) CONVERGENCE ACCELERATION ALGORITHM VIA AN EQUATION RELATED TO THE LATTICE BOUSSINESQ EQUATION, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 第 2 作者
(47) A hybrid type of soliton equations with self-consistent sources: KP and Toda cases, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 第 2 作者
(48) Cross rules of some extrapolation algorithms, INVERSE PROBLEMS, 2010, 第 3 作者
(49) A generalization of the G-transformation and the related algorithms, APPLIED NUMERICAL MATHEMATICS, 2010, 通讯作者
(50) Nonlocal Symmetries for Bilinear Equations and Their Applications, STUDIES IN APPLIED MATHEMATICS, 2009, 通讯作者
(51) A q-difference version of the epsilon-algorithm, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 第 2 作者
(52) Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation, MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 第 2 作者
(53) COMMUTATIVITY OF PFAFFIANIZATION AND BACKLUND TRANSFORMATIONS: THE LEZNOV LATTICE, JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2009, 第 3 作者
(54) Negative semi-discrete KP and BKP hierarchies via nonlocal symmetries, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 第 2 作者
(55) Ishimori-I equation with self-consistent sources, JOURNAL OF MATHEMATICAL PHYSICS, 2009, 第 2 作者
(56) Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice, JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 第 1 作者
(57) On the pfaffianized-KP equation with self-consistent sources, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 第 2 作者
(58) New type of Kadomtsev-Petviashvili equation with self-consistent sources and its bilinear Backlund transformation, INVERSE PROBLEMS, 2007, 通讯作者
(59) Integrability of a differential-difference KP equation with self-consistent sources, MATHEMATICS AND COMPUTERS IN SIMULATION, 2007, 通讯作者
(60) A (2+1)-dimensional sinh-Gordon equation and its Pfaffian generalization, PHYSICS LETTERS A, 2007, 第 2 作者
(61) 2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Backlund transformation and Lax pair, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 通讯作者
(62) Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 通讯作者
(63) On an integrable differential-difference equation with a source, JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2006, 第 2 作者
(64) Construction of dKP and BKP equations with self-consistent sources, INVERSE PROBLEMS, 2006, 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 3 作者

科研活动

   
科研项目
( 1 ) 可积系统的代数与几何结构, 参与, 国家任务, 2014-01--2018-12
( 2 ) 离散可积系统, 参与, 国家任务, 2020-01--2024-12
( 3 ) 一些可积的非线性波动方程的数值研究, 参与, 国家任务, 2021-01--2024-12
( 4 ) Painleve方程及其相关问题研究, 参与, 国家任务, 2019-01--2022-12