1992-08--1994-12   吉林大学   研究生/博士学位

   

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

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,

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

   

（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

   

（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

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

   

（ 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

（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