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
email: hxb@lsec.cc.ac.cn
address: 北京市海淀区中关村东路55号
postalCode: 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
1998-12~现在, 中国科学院数学与系统科学研究院, 研究员
1995-12~1998-12,中国科学院计算数学与科学工程计算研究所, 研究员
1992-01~1995-11,中国科学院计算中心、计算数学与科学工程计算研究所, 副研究员
1990-05~1991-12,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) An application of a qd-type discrete hungry Lotka-Volterra equation over finite fields to a decoding problem, STUDIES IN APPLIED MATHEMATICS, 2023, 第 3 作者
(2) Generalized discrete Lotka-Volterra equation, orthogonal polynomials and generalized epsilon algorithm, NUMERICAL ALGORITHMS, 2023, 第 4 作者
(3) Nonisospectral Lotka���Volterra Systems asa Candidate Model for Food Chain, Ann. Appl. Math., 2023, 第 2 作者
(4) Laurent biorthogonal polynomials and Painlev��-type equations, Proc. Amer. Math. Soc., 2022, 第 3 作者
(5) Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame, International Mathematics Research Notices, 2021, 第 3 作者
(6) 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
(7) Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via pfaffians, NUMERICAL ALGORITHMS, 2021, 第 4 作者
(8) Duality of positive and negative integrable hierarchies via relativistically invariant fields, JOURNAL OF HIGH ENERGY PHYSICS, 2021, 
(9) 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
(10) 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
(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 3 作者
(12) Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 第 2 作者
(13) A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 第 2 作者
(14) Moment modification, multipeakons, and nonisospectral generalizations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 第 2 作者
(15) Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants, NONLINEARITY, 2018, 第 2 作者
(16) A semi-discrete modified KdV equation, JOURNAL OF MATHEMATICAL PHYSICS, 2018, 第 2 作者
(17) On moving frames and Toda lattices of BKP and CKP types, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 第 3 作者
(18) 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
(19) Partial-Skew-Orthogonal Polynomials and Related Integrable Lattices with Pfaffian Tau-Functions, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 第 3 作者
(20) Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type, NONLINEARITY, 2018, 第 2 作者
(21) Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property, SCIENCE CHINA MATHEMATICS,, 2018, 第 3 作者
(22) A numerical study of the 3-periodic wave solutions to KdV-type equations, JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 第 2 作者
(23) A new integrable convergence acceleration algorithm for computing Brezinski���Durbin���Redivo-Zaglia���s sequence transformation via pfaffians, NUMERICAL ALGORITHMS, 2018, 第 3 作者
(24) The partition function of the Bures ensemble as the tau-function of BKP and DKP hierarchies: continuous and discrete, JOURNALOFPHYSICSAMATHEMATICALANDTHEORETICAL, 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, 第 11 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) About several classes of bi-orthogonal polynomials and discrete integrable systems, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 第 3 作者
(29) Integrable discretization of soliton equations via bilinear method and B��acklund transformation, SCIENCE CHINA-MATHEMATICS, 2015, 第 4 作者
(30) Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions, NONLINEARITY, 2015, 第 4 作者
(31) HANKEL DETERMINANT SOLUTIONS TO SEVERAL DISCRETE INTEGRABLE SYSTEMS AND THE LAURENT PROPERTY, SIAM JOURNAL ON DISCRETE MATHEMATICS, 2015, 第 2 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, Recent Development in Symmetries and Integrability of Difference Equations, 中国数学前沿:英文版, 2013, 第 1 作者
(39) On the three-dimensional three-wave equation with self-consistent sources, PHYSICS LETTERS A, 2012, 第 2 作者
(40) MULTISTEP epsilon-ALGORITHM, SHANKS' TRANSFORMATION, AND THE LOTKA-VOLTERRA SYSTEM BY HIROTA'S METHOD, MATHEMATICS OF COMPUTATION, 2012, 第 3 作者
(41) 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
(42) A conjecture based on Somos-4 sequence and its extension, LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 第 2 作者
(43) Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 第 11 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) CONVERGENCE ACCELERATION ALGORITHM VIA AN EQUATION RELATED TO THE LATTICE BOUSSINESQ EQUATION, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 第 2 作者
(46) 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
(47) Cross rules of some extrapolation algorithms, INVERSE PROBLEMS, 2010, 第 3 作者
(48) A generalization of the G-transformation and the related algorithms, APPLIED NUMERICAL MATHEMATICS, 2010, 第 11 作者
(49) A q-difference version of the epsilon-algorithm, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 第 2 作者
(50) Nonlocal Symmetries for Bilinear Equations and Their Applications, STUDIES IN APPLIED MATHEMATICS, 2009, 第 11 作者
(51) Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation, MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 第 2 作者
(52) COMMUTATIVITY OF PFAFFIANIZATION AND BACKLUND TRANSFORMATIONS: THE LEZNOV LATTICE, JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2009, 第 3 作者
(53) Ishimori-I equation with self-consistent sources, JOURNAL OF MATHEMATICAL PHYSICS, 2009, 第 2 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) Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice, JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 第 1 作者
(56) On the pfaffianized-KP equation with self-consistent sources, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 第 2 作者
(57) New type of Kadomtsev-Petviashvili equation with self-consistent sources and its bilinear Backlund transformation, INVERSE PROBLEMS, 2007, 第 11 作者
(58) Integrability of a differential-difference KP equation with self-consistent sources, MATHEMATICS AND COMPUTERS IN SIMULATION, 2007, 第 11 作者
(59) A (2+1)-dimensional sinh-Gordon equation and its Pfaffian generalization, PHYSICS LETTERS A, 2007, 第 2 作者
(60) 2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Backlund transformation and Lax pair, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 第 11 作者
(61) Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 第 11 作者
(62) On an integrable differential-difference equation with a source, JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2006, 第 2 作者
(63) Construction of dKP and BKP equations with self-consistent sources, INVERSE PROBLEMS, 2006, 第 11 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 ) 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
( 2 ) 离散可积系统, 参与, 国家任务, 2020-01--2024-12
( 3 ) Painleve方程及其相关问题研究, 参与, 国家任务, 2019-01--2022-12
( 4 ) 可积系统的代数与几何结构, 参与, 国家任务, 2014-01--2018-12