基本信息
洪佳林  男  博导  中国科学院数学与系统科学研究院
电子邮件: hjl@lsec.cc.ac.cn
通信地址: 北京市中关村东路55号,中科院数学与系统科学研究院
邮政编码:

招生信息

   
招生专业
070102-计算数学
070104-应用数学
招生方向
动力系统保结构算法理论与应用
随机微分方程数值方法

教育背景

1992-08--1994-12   吉林大学   研究生/博士学位

工作经历

   
工作简历
2003-04~现在, 中科院数学与系统科学研究院, 研究员
1999-01~2003-04,中科院数学与系统科学研究院, 副研究员
1997-03~1999-03,西班牙VALLADOLID大学, 访问学者
1996-11~1998-12,中科院计算数学与科学工程计算研究所, 副研究员
1995-01~1996-11,中科院应用数学研究所, 博士后
1992-08~1994-12,吉林大学, 研究生/博士学位
社会兼职
2021-01-01-今,北京市人大常委,
2017-08-01-今,民革北京市副主委,
2012-01-01-2019-12-31,中国数学会常务理事,
2012-01-01-2019-12-31,中国数学会常务理事,
2008-03-03-今,全国政协委员,
2007-12-03-今,民革中央委员,
2007-12-01-2017-11-30,中国科学院工会副主席,
2007-12-01-2017-11-30,中国科学院工会副主席,

教授课程

随机微分方程数值解
数值分析
哈密尔顿系统的辛几何算法和多辛几何算法

专利与奖励

   
奖励信息
(1) 高等学校科学研究优秀成果奖(科学技术), 二等奖, 部委级, 2022
(2) 中国科学院大学2022年校级“研究生优秀课程”, , 研究所(学校), 2022
(3) 中国科学院大学2022年院级“研究生优秀课程”, , 院级, 2022

出版信息

   
发表论文
(1) Wellposedness and regularity estimates for stochastic Cahn-Hilliard equation with unbounded noise diffusion, STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2023, 第 2 作者
(2) Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation, POTENTIAL ANALYSIS, 2023, 第 2 作者
(3) Stochastic differential equation with piecewise continuous arguments: Markov property, invariant measure and numerical approximation, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 第 2 作者
(4) CLT for approximating ergodic limit of SPDEs via a full discretization, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2023, 第 3 作者
(5) Strong error analysis of Euler methods for overdamped generalized Langevin equations with fractional noise: Nonlinear case, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2023, 第 2 作者
(6) Mittag-Leffler Euler Integrator and Large Deviations for Stochastic Space-Time Fractional Diffusion Equations, POTENTIAL ANALYSIS, 2023, 第 2 作者
(7) Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density, IMA JOURNAL OF NUMERICAL ANALYSIS, 2023, 第 3 作者
(8) A splitting semi-implicit Euler method for stochastic incompressible Euler equations on T-2, IMA JOURNAL OF NUMERICAL ANALYSIS, 2023, 第 1 作者
(9) Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise, JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 第 1 作者
(10) Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model, BIT NUMERICAL MATHEMATICS, 2022, 第 1 作者
(11) Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation, MATHEMATICSOFCOMPUTATION, 2022, 第 2 作者
(12) Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems, JOURNAL OF COMPLEXITY, 2022, 第 2 作者
(13) Optimal Holder continuity and hitting probabilities for SPDEs with rough fractional noises, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 第 1 作者
(14) Weak intermittency of stochastic heat equation under discretizations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 第 3 作者
(15) Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations, JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 第 1 作者
(16) Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions, IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 第 1 作者
(17) Structure-Preserving Numerical Methods for Stochastic Poisson Systems, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 第 1 作者
(18) Strong convergence of full discretization for stochastic Cahn--Hilliard equation driven by additive noise, SIAM J. Numer. Anal., 2021, 第 1 作者
(19) ASYMPTOTICALLY-PRESERVING LARGE DEVIATIONS PRINCIPLES BY STOCHASTIC SYMPLECTIC METHODS FOR A LINEAR STOCHASTIC OSCILLATOR, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 
(20) Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 第 2 作者
(21) Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model, BIT NUMERICAL MATHEMATICS, 2021, 第 1 作者
(22) Optimal strong convergence rate of a backward Euler type scheme for the Cox���Ingersoll���Ross model driven by fractional Brownian motion, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 第 1 作者
(23) Absolute continuity and numerical approximation of stochastic Cahn���Hilliard equation with unbounded noise diffusion, JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 第 2 作者
(24) Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations, JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 第 2 作者
(25) Modified averaged vector field methods preserving multiple invariants for conservative stochastic differential equations, BIT NUMERICAL MATHEMATICS, 2020, 第 2 作者
(26) Well-Posedness and Finite Element Approximations for Elliptic SPDEs with Gaussian Noises, Well-Posedness and Finite Element Approximations for Elliptic SPDEs with Gaussian Noises, 数学研究通讯:英文版, 2020, 第 2 作者
(27) Cohen, David; Cui, Jianbo; Hong, Jialin; Sun, Liying Exponential integrators for stochastic Maxwell's equations driven by It�� noise., J. Comput. Phys., 2020, 第 1 作者
(28) Exponential integrators for stochastic Maxwell's equations driven by It�� noise, JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 第 3 作者
(29) Geothermal heat flux from measured temperature profiles in deep ice boreholes in Antarctica, CRYOSPHERE, 2020, 第 5 作者
(30) Thermal tips for ice hot-point drilling: Experiments and preliminary thermal modeling, COLD REGIONS SCIENCE AND TECHNOLOGY, 2019, 第 4 作者
(31) Invariant Measures for Stochastic Nonlinear Schrodinger Equations, INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 第 11 作者
(32) Optimal regularity of stochastic evolution equations in M-type 2 Banach spaces, JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 第 1 作者
(33) Approximation of Ergodic Limit for Conservative Stochastic Nonlinear Schrodinger Equations, INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 第 11 作者
(34) Geometric Structures and Numerical Schemes for Nonlinear Schrodinger Equations, INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 第 11 作者
(35) Proof of the Birkhoff-Khinchin Ergodic Theorem, INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 第 11 作者
(36) Numerical Invariant Measures for Damped Stochastic Nonlinear Schrodinger Equations, INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 第 11 作者
(37) Basic Inequalities, INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 第 11 作者
(38) Invariant Measures for Stochastic Differential Equations, INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 第 11 作者
(39) Invariant Measures for Stochastic Nonlinear Schrodinger Equations Numerical Approximations and Symplectic Structures Preface, INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 第 11 作者
(40) Well-posedness and optimal regularity of stochastic evolution equations with multiplicative noises, JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 第 1 作者
(41) Development of the British Antarctic Survey Rapid Access Isotope Drill, JOURNAL OF GLACIOLOGY, 2019, 第 3 作者
(42) CONVERGENCE ANALYSIS OF A SYMPLECTIC SEMI-DISCRETIZATION FOR STOCHASTIC NLS EQUATION WITH QUADRATIC POTENTIAL, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 第 1 作者
(43) RUNGE-KUTTA SEMIDISCRETIZATIONS FOR STOCHASTIC MAXWELL EQUATIONS WITH ADDITIVE NOISE, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 第 2 作者
(44) Proofs of Propositions 5.1, 5.3 and 5.4, INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 第 11 作者
(45) A Review on Stochastic Multi-symplectic Methods for Stochastic Maxwell Equations, COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2019, 第 3 作者
(46) Parareal Exponential �� -Scheme for Longtime Simulation of Stochastic Schr��dinger Equations with Weak Damping., SIAM J. Sci. Comput., 2019, 第 1 作者
(47) Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation, IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 第 3 作者
(48) MEAN-SQUARE CONVERGENCE OF A SEMIDISCRETE SCHEME FOR STOCHASTIC MAXWELL EQUATIONS, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 第 2 作者
(49) STRONG AND WEAK CONVERGENCE RATES OF A SPATIAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH ONE-SIDED LIPSCHITZ COEFFICIENT, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 第 2 作者
(50) Invariant Measures and Ergodicity, INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 第 11 作者
(51) Dynamic evaluation of exponential polynomial curves and surfaces via basis transformation, 2019, 第 2 作者
(52) Strong convergence rate of splitting schemes for stochastic nonlinear Schr��dinger equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 第 2 作者
(53) PARAREAL EXPONENTIAL theta-SCHEME FOR LONGTIME SIMULATION OF STOCHASTIC SCHRODINGER EQUATIONS WITH WEAK DAMPING, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 第 11 作者
(54) DYNAMIC EVALUATION OF EXPONENTIAL POLYNOMIAL CURVES AND SURFACES VIA BASIS TRANSFORMATION, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 第 2 作者
(55) A Review on Stochastic Multi-symplectic Methods for Stochastic Maxwell Equations, A Review on Stochastic Multi-symplectic Methods for Stochastic Maxwell Equations, 应用数学与计算数学学报(英文), 2019, 第 3 作者
(56) Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths, APPLIED NUMERICAL MATHEMATICS, 2018, 第 1 作者
(57) Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schr��dinger equation, APPLIED NUMERICAL MATHEMATICS, 2018, 第 1 作者
(58) Analysis of a splitting scheme for damped stochastic nonlinear Schr��dinger equation with multiplicative noise, SIAM J. Numer. Anal, 2018, 第 1 作者
(59) Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation, APPLIED NUMERICAL MATHEMATICS, 2018, 第 1 作者
(60) Explicit pseudo-symplectic methods for stochastic Hamiltonian systems, BIT NUMERICAL MATHEMATICS, 2018, 第 3 作者
(61) Preface [Numerical methods for stochastic partial differential equations (SPDEs), J. Comput. Math, 2018, 第 1 作者
(62) Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion, IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 第 2 作者
(63) Shallow hot-water ice drill: Estimation of drilling parameters and testing, COLD REGIONS SCIENCE AND TECHNOLOGY, 2018, 第 5 作者
(64) Optimal error estimate of a compact scheme for nonlinear Schrodinger equation, APPLIED NUMERICAL MATHEMATICS, 2017, 第 1 作者
(65) Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 第 3 作者
(66) Stochastic symplectic and multi-symplectic methods for nonlinear Schr��dinger equation with white noise dispersion, JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 第 2 作者
(67) HIGH ORDER CONFORMAL SYMPLECTIC AND ERGODIC SCHEMES FOR THE STOCHASTIC LANGEVIN EQUATION VIA GENERATING FUNCTIONS, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 第 1 作者
(68) Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2017, 第 2 作者
(69) Local energy- and momentum-preserving schemes for Klein-Gordon-Schr��dinger equations and convergence analysis, Numer. Methods Partial Differential Equations, 2017, 第 1 作者
(70) An energy-conserving method for stochastic Maxwell equations with multiplicative noise, JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 第 1 作者
(71) NUMERICAL ANALYSIS ON ERGODIC LIMIT OF APPROXIMATIONS FOR STOCHASTIC NLS EQUATION VIA MULTI-SYMPLECTIC SCHEME, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 第 1 作者
(72) Strong convergence rate of finite difference approximations for stochastic cubic Schrodinger equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 第 2 作者
(73) Chuchu Chen, Jialin Hong, Lihai Ji, Linghua Kong, A compact scheme for coupled stochastic nonlinear Schr��dinger equations, Commun. Comput. Phys., 2017, 
(74) Optimal error estimate of a compact scheme for nonlinear Schr��dinger equation, APPLIED NUMERICAL MATHEMATICS, 2017, 第 1 作者
(75) Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrodinger equation, IMA JOURNAL OF NUMERICAL ANALYSIS, 2017, 第 2 作者
(76) Approximating Stochastic Evolution Equations with Additive White and Rough Noises, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 第 2 作者
(77) Approximation of Invariant Measure for Damped Stochastic Nonlinear Schr��dinger Equation via an Ergodic Numerical Scheme, POTENTIAL ANALYSIS,, 2017, 第 2 作者
(78) Construction of Symplectic Runge-Kutta Methods for Stochastic Hamiltonian Systems, Construction of Symplectic Runge-Kutta Methods for Stochastic Hamiltonian Systems, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 第 2 作者
(79) Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion, JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 第 2 作者
(80) Strong convergence rate of finite difference approximations for stochastic cubic Schr��dinger equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 第 2 作者
(81) A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 第 2 作者
(82) DYNAMIC EVALUATION OF FREE-FORM CURVES AND SURFACES, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 第 2 作者
(83) Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schr��dinger equation, IMA JOURNAL OF NUMERICAL ANALYSIS, 2017, 第 2 作者
(84) Approximation of Invariant Measure for Damped Stochastic Nonlinear Schrodinger Equation via an Ergodic Numerical Scheme, POTENTIAL ANALYSIS, 2017, 第 2 作者
(85) Modified equations for weakly convergent stochastic symplectic schemes via their generating functions, BIT NUMERICAL MATHEMATICS, 2016, 第 2 作者
(86) Projection methods for stochastic differential equations with conserved quantities, BIT NUMERICAL MATHEMATICS, 2016, 第 3 作者
(87) Convergence of a $$\theta $$ �� -scheme to solve the stochastic nonlinear Schr��dinger equation with Stratonovich noise, STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS: ANALYSIS AND COMPUTATIONS, 2016, 第 2 作者
(88) Stochastic Runge-Kutta Semidiscretization for Stochastic Schroedinger Equation, SIAM J.. Numer. Anal., 2016, 第 1 作者
(89) Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 第 1 作者
(90) QUASI-EFFECTIVE STABILITY FOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 第 2 作者
(91) A Compact Scheme for Coupled Stochastic Nonlinear Schr��dinger Equations, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 第 2 作者
(92) Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods, JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 第 2 作者
(93) CONSERVATIVE METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH A CONSERVED QUANTITY, INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2016, 第 11 作者
(94) Modified equations for weakly convergent stochastic symplectic scheme via their generating functions, BIT Numer. Math., 2016, 第 1 作者
(95) SYMPLECTIC RUNGE-KUTTA SEMIDISCRETIZATION FOR STOCHASTIC SCHRODINGER EQUATION, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 第 2 作者
(96) Compact and efficient conservative schemes for coupled nonlinear S chr��dinger equations, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 第 2 作者
(97) Size distribution and shape characteristics of ice electromechanical auger drill, COLD REGIONS SCIENCE AND TECHNOLOGY, 2015, 第 1 作者
(98) TWO ENERGY-CONSERVED SPLITTING METHODS FOR THREE-DIMENSIONAL TIME-DOMAIN MAXWELL'S EQUATIONS AND THE CONVERGENCE ANALYSIS, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 第 2 作者
(99) Compact and Efficient Conservative Schemes for Coupled Nonlinear Schrodinger Equations, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 第 2 作者
(100) Preservation of quadratic invariants of stochastic differential equations via Runge���Kutta methods, APPLIED NUMERICAL MATHEMATICS, 2015, 第 1 作者
(101) GENERATING FUNCTIONS FOR STOCHASTIC SYMPLECTIC METHODS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 第 2 作者
(102) A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise, JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 第 1 作者
(103) Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers, JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 第 1 作者
(104) LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2013, 第 2 作者
(105) MEAN-SQUARE CONVERGENCE OF NUMERICAL APPROXIMATIONS FOR A CLASS OF BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2013, 第 2 作者
(106) 哈密尔顿偏微分方程多辛算法(英文), 应用数学与计算数学学报, 2013, 第 2 作者
(107) Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schr��dinger Equation, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2013, 第 3 作者
(108) 哈密尔顿偏微分方程多辛算法, Multi-symplectic algorithms for Hamiltonian partial differential equations, 应用数学与计算数学学报, 2013, 第 2 作者
(109) Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrodinger Equation, Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrodinger Equation, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2013, 第 3 作者
(110) Solvability of concatenated Runge-Kutta equations for second-order nonlinear PDEs, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 第 1 作者
(111) Stochastic Symplectic Approximation for a Linear System with Additive Noises, IAENG INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS, 2012, 第 2 作者
(112) Stochastic Multisymplectic Integrator for Stochastic KdV Equation, NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 第 3 作者
(113) DISCRETE GRADIENT APPROACH TO STOCHASTIC DIFFERENTIAL EQUATIONS WITH A CONSERVED QUANTITY, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 第 11 作者
(114) Symplectic structure-preserving integrators for the two-dimensional Gross���Pitaevskii equation for BEC, JOURNALOFCOMPUTATIONALANDAPPLIEDMATHEMATICS, 2011, 第 2 作者
(115) High-order compact splitting multisymplectic method for the coupled nonlinear Schrodinger equations, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 第 3 作者
(116) Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2010, 第 11 作者
(117) Splitting multisymplectic integrators for Maxwell���s equations, JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 第 2 作者
(118) High-order compact splitting multisymplectic method for the coupled nonlinear Schr��dinger equations, COMPUTERS AND MATHEMATICS WITH APPLICATIONS, 2010, 第 3 作者
(119) Novel multi-symplectic integrators for nonlinear fourth-order Schr��dinger equation with trapped term, Commun. Comput. Phys., 2010, 第 1 作者
(120) Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations, JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 第 11 作者
(121) Explicit multi-symplectic methods for Klein���Gordon���Schr��dinger equations, JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 第 1 作者
(122) Symplectic integrator for nonlinear high order Schrodinger equation with a trapped term, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 第 2 作者
(123) Accuracy of classical conservation laws for Hamiltonian PDEs under Runge���Kutta discretizations, NUMERISCHE MATHEMATIK, 2009, 第 11 作者
(124) DYNAMICS AND VARIATIONAL INTEGRATORS OF STOCHASTIC HAMILTONIAN SYSTEMS, INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2009, 第 2 作者
(125) Generating functions of multi-symplectic RK methods via DW Hamilton���Jacobi equations, NUMERISCHE MATHEMATIK, 2008, 第 1 作者
(126) Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 第 2 作者
(127) Multi-symplectic Runge���Kutta���Nystr��m methods for nonlinear Schr��dinger equations with variable coefficients, JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 第 1 作者
(128) Explicit multi-symplectic methods for Hamiltonian wave equations, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2007, 第 11 作者
(129) Numerical comparison of five difference schemes for coupled Klein-Gordon-Schr��dinger equations in quantum physics, J. Phys. A, 2007, 第 1 作者
(130) Multi-symplectic Runge-Kutta methods for nonlinear dirac equations, JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 
(131) The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDES, MATHEMATICS OF COMPUTATION, 2006, 
(132) THE COMPUTATION OF LYAPUNOV EXPONENTS FOR PERIODIC TRAJECTORIES, INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS IN APPLIED SCIENCES AND ENGINEERING, 2005, 第 1 作者
(133) 关于拟周期情形的Sacker—Sell问题, 中国科学:A辑, 1996, 第 1 作者
(134) 非定常概周期系统局部结构稳定的充要条件, 系统科学与数学, 1995, 第 2 作者
(135) 湍线性微分系统的性质, 吉林大学自然科学学报, 1994, 第 1 作者
(136) 弱概周期线性微分系统的连续谱与可约性, 数学年刊:A辑, 1993, 第 1 作者
(137) 线性微分系统指数型三分性的粗糙度估计, 工程数学学报, 1993, 第 1 作者
发表著作
Invariant measures for stochastic nonlinear Schrödinger equations. Numerical approximations and symplectic structures., Lecture Notes in Mathematics, Springer, Singapore, 2019-08, 第 1 作者
Symplectic integration for stochastic Hamiltonian system, Lecture Notes in Mathematics, Springer, Singapore, 2022-04, 第 1 作者
Numerical approximations of stochastic Maxwell equations via structure-preserving algorithms, Lecture Notes in Mathematics, Springer, Singapore, 2023-12, 第 2 作者

科研活动

   
科研项目
( 1 ) 随机哈密尔顿偏微分方程高效数值方法, 负责人, 国家任务, 2017-01--2019-12
( 2 ) 随机偏微分方程多辛几何算法及不确定性量化, 负责人, 国家任务, 2016-06--2016-12
( 3 ) 严格光刻掩模板数值仿真算法研究, 负责人, 中国科学院计划, 2014-06--2016-12
( 4 ) 基于流线场的复杂曲面微分结构构建研究, 负责人, 国家任务, 2013-01--2017-12
参与会议
(1)Fundamental Convergence Theorems of Numerical Methods for Stochastic Differential Equations   2016-07-10
(2)Stochastic symplectic and multi-symplectic methods   2015-11-14
(3)Stochastic symplectic and multi-symplectic methods   2015-06-16
(4)Stochastic Multi-symplectic Methods for Stochastic Maxwell Equations   2015-05-26