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个人简介

招生专业 070102-计算数学 070104-应用数学 招生方向 哈密尔顿系统的辛几何算法 分数阶微分方程数值分析及其应用 机器学习与动力系统 教育背景 1993-02--1997-07 中国科学院计算中心、计算数学与科学工程计算研究所 理学博士 1987-09--1990-07 中国科学院计算中心 理学硕士 1983-09--1987-07 复旦大学 理学学士 工作简历 2007-11~2008-11,西班牙马德里Complutense大学, 访问教授 2004-03~现在, 中国科学院数学与系统科学研究院, 研究员 1999-02~2004-03,中国科学院数学与系统科学研究院, 副研究员 1997-07~1999-02,中国科学院计算数学与科学工程计算研究所, 助理研究员、副研究员 1995-09~1996-06,美国Los Alamos国家实验室, Staff Research Assistant 1994-06~1995-09,西班牙马德里Complutense大学, 访问学者 1990-07~1993-02,中国科学院计算中心, 研究助理 教授课程 微积分I-A 微积分II-A 常微分方程 哈密尔顿系统的辛几何算法 科研项目 ( 1 ) Hamilton系统的辛几何算法和对称算法的定性研究, 主持, 国家级, 2014-01--2017-12 ( 2 ) 磁约束聚变等离子体模拟的几何方法及理论, 参与, 国家级, 2014-03--2019-02 ( 3 ) 等离子体物理中的辛算法与平均方法, 主持, 国家级, 2018-01--2021-12 ( 4 ) 非完全动态信息自适应博弈, 参与, 国家级, 2019-12--2022-12 已指导学生 戴桂冬 博士研究生 070102-计算数学 丰全东 博士研究生 070102-计算数学 焦艳东 博士研究生 070102-计算数学 赵艳敏 博士研究生 070104-应用数学 李敏 博士研究生 070102-计算数学 聂宁明 博士研究生 070102-计算数学 何沧平 博士研究生 070102-计算数学 黄健飞 博士研究生 070102-计算数学 陈耀 博士研究生 070102-计算数学 刘娜 博士研究生 070102-计算数学 杨继业 博士研究生 070102-计算数学 张瑞丽 博士研究生 070102-计算数学 卜玮平 博士研究生 070102-计算数学 赵越 硕士研究生 070102-计算数学 朱贝贝 博士研究生 070102-计算数学 涂雄标 博士研究生 070102-计算数学 张宜浩 硕士研究生 070102-计算数学 现指导学生 赵越 博士研究生 070102-计算数学 金鹏展 博士研究生 070102-计算数学 张嘉炜 博士研究生 070102-计算数学 纪伦 博士研究生 070102-计算数学 祝爱卿 博士研究生 070102-计算数学

研究领域

哈密尔顿系统的辛几何算法、分数阶微分方程数值分析及其应用、机器学习与动力系统

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

(1) Construction of high order symplectic integrators via generating functions technique with its application in many-body problem, BIT Numerical Mathematics, 2020, 第 3 作者 (2) Space-time finite element method for the distributed-order time fractional reaction diffusion equations, Applied Numerical Mathematics, 2020, 通讯作者 (3) Spectrally accurate space-time solution of Manakov systems, Journal of Computational and Applied Mathematics, 2020, 第 3 作者 (4) The Role of Obesity in Fractional Order Tumor-Immune Model, University Politehnica of Bucharest Scientific Bulletin-Series A, 2020, 第 4 作者 (5) Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness, Neural Networks, 2020, 第 3 作者 (6) Deep Hamiltonian networks based on symplectic integrators, Mathematica Numerica Sinica, 2020, 通讯作者 (7) On the main oscillational properties of fractional differential equations, Georgian Mathematical Journal, 2020, 第 4 作者 (8) Alternating direction implicit schemes for the two-dimensional time fractional nonlinear super-diffusion equations, Journal of Computational Mathematics, 2019, 第 5 作者 (9) L1 Scheme on Graded Mesh for the Linearized Time Fractional KDV Equation with Initial Singularity, International Journal of Modeling, Simulation, and Scientific Computing, 2019, 通讯作者 (10) Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations, East Asian Journal on Applied Mathematics, 2019, 第 4 作者 (11) Fractional differential equations with bio-medical applications, Handbook of Fractional Calculus with Applications, Volume 7, Applications in Engineering, Life and Social Sciences, Part A, 2019, 第 3 作者 (12) Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain, Computers and Mathematics with Applications, 2019, 通讯作者 (13) A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficients, Computers and Mathematics with Applications, 2019, 通讯作者 (14) Symplectic Simulation of Dark Solitons Motion for Nonlinear Schrodinger Equation, Numerical Algorithms, 2019, 第 2 作者 (15) Energy-preserving algorithm for gyrocenter dynamics of charged particles, Numerical Algorithms, 2019, 第 4 作者 (16) High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation, East Asian Journal on Applied Mathematics, 2019, 第 5 作者 (17) Recent trends in highly accurate and structure-preserving numerical methods for partial differential equations, International Journal of Computer Mathematics, 2018, 第 2 作者 (18) Finite difference method for time-space linear and nonlinear fractional diffusion equations, International Journal of Computer Mathematics, 2018, 第 4 作者 (19) High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes, International Journal of Computer Mathematics, 2018, 第 4 作者 (20) Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field, Physics of Plasmas, 2018, 第 7 作者 (21) Superconvergence analysis of an H^1-Galerkin mixed nite element method for two-dimensional multi-term time fractional diffusion equations, International Journal of Computer Mathematics, 2018, 第 3 作者 (22) Finite difference method for time-space fractional advection-diffusion equations with Riesz derivative, Entropy, 2018, 通讯作者 (23) Nonconforming quasi-Wilson finite element method for 2D time fractional diffusion-wave equation on regular and anisotropic meshes, Applied Mathematics and Computation, 2018, 第 5 作者 (24) High accuracy analysis of FEM for two-term mixed time-fractional diffusion-wave equations (in Chinese), Scientia Sinica Informationis, 2018, 通讯作者 (25) Spatial high accuracy analysis of FEM for two-dimensional multi-term time-fractional diffusion-wave equations, Acta Mathematicae Applicatae Sinica, English Series, 2018, 第 5 作者 (26) Fourth order finite difference method for time-space fractional diffusion equations, East Asian Journal on Applied Mathematics, 2018, 通讯作者 (27) A second order finite difference method for time-space fractional diffusion equations with Riesz derivative, Journal of Computational Physics, 2017, 通讯作者 (28) Galerkin finite element method for two-dimensional space and time fractional Bloch-Torrey equations, Journal of Computational Physics, 2017, 第 4 作者 (29) High accuracy analysis of an H^1-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations, Computers and Mathematics with Applications, 2017, 第 4 作者 (30) Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations, Journal of Scientific Computing, 2017, 通讯作者 (31) Boundary Value Problems of Fractional Fokker-Plank Equations, Computers and Mathematics with Applications, 2017, 第 5 作者 (32) Convergence and Superconvergence of a Fully-Discrete Scheme for Multi-Term Time Fractional Diffusion Equations, Computers and Mathematics with Applications, 2017, 第 5 作者 (33) Effects of HIV Infection on CD$4^+$ T Cell Population Based on a Fractional Order Model, Advances in Difference Equations, 2017, 第 4 作者 (34) Application of Lie Algebra in Constructing Volume-Preserving Algorithms for Charged Particles Dynamics, Communications in Computational Physics, 2016, 第 4 作者 (35) Splitting K-symplectic methods for non-canonical separable Hamiltonian problems, Journal of Computational Physics, 2016, 通讯作者 (36) Dynamical Analysis of Fractional Order Model of Immunogenic Tumors, Advances in Mechanical Engineering, 2016, 第 4 作者 (37) Explicit Symplectic Algorithms Based on Generating Functions for Charged Particle Dynamics, Physical Review E, 2016, 第 3 作者 (38) Convergence Analysis of the Formal Energies of Symplectic Methods for Hamiltonian Systems, SCIENCE CHINA Mathematics, 2016, 通讯作者 (39) A Family of New Explicit, Revertible, Volume-Preserving Numerical Schemes for the Systems of Lorentz Force, Physics of Plasmas, 2016, 第 3 作者 (40) Symmetric and Symplectic Methods for Gyrocenter Dynamics in Time-Independent Magnetic Fields, International Journal of Modeling, Simulation, and Scientific Computing, 2016, 通讯作者 (41) An Implicit MLS Meshless Method for 2-D Time Dependent Fractional Diffusion-Wave Equation, Applied Mathematical Modelling, 2015, 通讯作者 (42) Mixed Spectral Element Method for 2D Maxwells Eigenvalue Problem, Communications in Computational Physics, 2015, 第 3 作者 (43) Finite Element Multigrid Method for Multi-Term Time Fractional Advection Diffusion Equations, International Journal of Modeling, Simulation, and Scientific Computing, 2015, 通讯作者 (44) Mixed Spectral Element Method for 3D Maxwells Eigenvalue Problem, IEEE: Transactions on Microwave Theory and Techniques, 2015, 第 4 作者 (45) Crank-Nicolson ADI Galerkin Finite Element Method for Two-Dimensional Fractional FitzHugh-Nagumo Monodomain Model, Applied Mathematics and Computation, 2015, 通讯作者 (46) Finite Element Method for Two-Dimensional Space-Fractional Advection-Dispersion Equations, Applied Mathematics and Computation, 2015, 通讯作者 (47) Finite Difference/Finite Element Method for Two-Dimensional Space and Time Fractional Bloch-Torrey Equations, Journal of Computational Physics, 2015, 通讯作者 (48) The Mixed Spectral Element Method for Anisotropic, Lossy, and Open Waveguides, IEEE: Transactions on Microwave Theory and Techniques, 2015, 第 4 作者 (49) On One Class of Persymmetric Matrices Generated by Boundary Value Problems for Differential Equations of Fractional Order, Applied Mathematics and Computation, 2015, 第 4 作者 (50) Solving Spatial-Fractional Partial Differential Diffusion Equations by Spectral Method, Journal of Statistical Computation and Simulation, 2014, 第 4 作者 (51) Canonicalization and Symplectic Simulation of the Gyrocenter Dynamics in Time-Independent Magnetic Fields, Physics of Plasmas, 2014, 第 3 作者 (52) A second Order Finite Difference-Spectral Method for Space Fractional Diffusion Equations, SCIENCE CHINA Mathematics, 2014, 通讯作者 (53) Numerical Solution of Fractional Diffusion-Wave Equation Based on Fractional Multistep Method, Applied Mathematical Modelling, 2014, 通讯作者 (54) Galerkin Finite Element Method for Two-Dimensional Riesz Space Fractional Diffusion Equations, Journal of Computational Physics, 2014, 通讯作者 (55) Mixed Finite Element Method for 2D Vector Maxwells Eigenvalue Problem in an Anisotropic Medium, Progress in Electromagnetic Research, 2014, 第 3 作者 (56) Boundary Value Problems for Differential Equations of Fractional Order, Journal of Mathematical Sciences, 2013, 第 3 作者 (57) Two Finite Difference Schemes for Time Fractional Diffusion-Wave Equation, Numerical Algorithms, 2013, 第 2 作者 (58) Higher-order Mixed Spectral Element Method for Maxwell Eigenvalue Problem, Proceedings of 2013 IEEE Antennas and Propagation Society International Symposium (APSURSI), 2013, 第 2 作者 (59) Finite Difference Methods for Space Fractional Advection-Diffusion Equations with Variable Coefficients, Communications in Computer and Information Science , 2012, 第 3 作者 (60) Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations, Numerical Mathematics: Theory, Methods and Applications, 2012, 通讯作者 (61) A Compact Difference Scheme for Time Fractional Diffusion Equation with Neumann Boundary Conditions, Communications in Computer and Information Science, 2012, 第 2 作者 (62) The Grunwald-Letnikov Method for Fractional Differential Equations, Computers and Mathematics with Applications, 2011, 第 3 作者 (63) Multi-Symplectic Wavelet Collocation Method for the Nonlinear Schrodinger and Camassa-Holm Equations, Computer Physics Communications, 2011, 第 3 作者 (64) Energy-Preserving Numerical Methods for Landau-Lifshitz Equation, Journal of Physics A: Mathematical and Theoretical , 2011, 第 3 作者 (65) Revertible and Symplectic Methods for the Ablowitz-Ladik Discrete Nonlinear Schrodinger Equation, GCMS11 Proceedings of the 2011 Grand Challenges on Modeling and Simulation Conference, 2011, 通讯作者 (66) Symplectic and Multi-Symplectic Schemes for the Two-Dimensional Nonlinear Schrodinger Equation (in Chinese), Mathematica Numerica Sinica, 2010, 第 4 作者 (67) Implementing Arbitrarily High-Order Symplectic Methods via Krylov Deferred Correction Technique, International Journal of Modeling, Simulation, and Scientific Computing, 2010, 第 4 作者 (68) The Graphical Representation of Protein Sequences Based on the Physicochemical Properties and its Applications, Journal of Computational Chenistry, 2010, 第 4 作者 (69) Boundary Value Problems for Differential Equations of Fractional Order, Memoirs on Differential Equations and Mathematical Physics, 2010, 第 4 作者 (70) Solving Two-Point Boundary Value Problems of Fractional Differential Equations by Spline Collocation Methods, International Journal of Modeling, Simulation, and Scientific Computing, 2010, 通讯作者 (71) Symplectic Wavelet Collocation Method for Hamiltonian Wave Equations, Journal of Computational Physics, 2010, 第 4 作者 (72) Hierarchical-control-based output Synchronization of Coexisting Attractor Networks, Chinese Physics B, 2010, 第 2 作者 (73) Parallel Mulitgrid Smoothing: JGS vs. PGS (in Chinese), Journal of System Simulation, 2010, 第 3 作者 (74) Solving Two-Point Boundary Value Problems of Fractional Differential Equations with Riemann-Liouville Derivatives, Journal of System Simulation, 2010, 通讯作者 (75) Non-convexity of the Dimension Function for Sierpinski Pedal Triangles, Fractals, 2010, 第 2 作者 (76) Features of Inflow of a Liquid to a Chink in the Cracked Deformable Layer, International Journal of Modeling, Simulation, and Scientific Computing, 2010, 通讯作者 (77) Symplectic Discretization for Spectral Element Solution of Maxwell's Equations, Journal of Physics A: Mathematical and Theoretical, 2009, 通讯作者 (78) Noether Conserved Quantities and Lie Point Symmetries of Difference Lagrange-Maxwell Equations and Lattices, Chinese Physics B, 2009, 第 4 作者 (79) Explicit Symplectic Methods for the Nonlinear Schrodinger Equation, Communications in Computational Physics, 2009, 通讯作者 (80) Fractional Calculus in China: Fractional Numerical Analysis, Memoirs of the Royal Academy of Mathematical, Physical and Natural Sciences of Madrid: Mathematical Sciences Series, 2009, 第 1 作者 (81) Symplectic-Energy-First Integrators of Discrete Mechanico-Electrical Dynamical Systems, Chinese Physics B, 2008, 第 3 作者 (82) Construction of Exact Invariants of Time-Dependent Linear Nonholonomic Dynamical Systems, Physics Letters A, 2008, 第 3 作者 (83) Non-existence of Conjugate-Symplectic Multi-Step Methods of Odd Order, Journal of Computational Mathematics, 2007, 通讯作者 (84) Conjugate Symplecticity of 2nd-Order Linear Multi-Step Methods, Journal of Computational and Applied Mathemmatics, 2007, 通讯作者 (85) A Series of Non-Noether Conservative Quantities and Mei Symmetries of Nonconservative Systems, Chinese Physics, 2007, 第 3 作者 (86) Symplectic Methods for the Ablowitz-Ladik Discrete Nonlinear Schroedinger Equation, Journal of Physics A: Mathematical and Theoretical, 2007, 第 1 作者 (87) Discrete Variational Principle and First Integrals of Lagrange-Maxwell Mechanico-Electrical Dynamical Systems, Chinese Physics, 2007, 第 4 作者 (88) Non-Noether Symmetries and Lutzky Conserved Quantities for Mechanico-Electrical Systems, Physics Letters A, 2006, 第 4 作者 (89) A Note on Symplecticity of Step-Transition Mappings for Multi-Step Methods, Journal of Computational and Applied Mathematics, 2006, 通讯作者 (90) Algebraic Structure and Poisson's Theory of Mechanico-Electrical Systems, Chinese Physics, 2006, 第 2 作者 (91) Equilibrium Attractive Properties of A Class of Multistep Runge-Kutta Methods, Applied Mathematics and Computation, 2006, 第 2 作者 (92) Analysis of the Numerical Methods for a Fractional Dirac Equation, Proceedings of the Fifth International Conference on Engineering Computational Technology, 2006, 第 2 作者 (93) Non-Noether Symmetries and Lutzky Conservative Quantities of Nonholonomic Nonconservative Dynamical Systems, Chinese Physic, 2006, 第 2 作者 (94) Expansions of Step-transition Operators of Multi-step Methods and Order Barriers for Dahlquist Pairs, Journal of Computational Mathematics, 2006, 通讯作者 (95) An exponential distribution network, Chinese Physics, 2005, 第 2 作者 (96) The spread of disease with birth and death on networks, Journal of Statistical Mechanics: Theory and Experiment, 2004, 第 2 作者 (97) Order Properties of Symplectic Runge-Kutta-Nystrom Methods, Computers and Mathematics with Applications, 2004, 通讯作者 (98) Symplectic Properties of Multistep Runge-Kutta Methods, Computers and Mathematics with Applications, 2002, 通讯作者 (99) Expansion of Step-Transition Operator of Multi-Step Method and its Applications (II), Journal of Computational Mathematics, 2002, 第 1 作者 (100) Symplectic Computation of Hamiltonian Systems (I), Journal of Computational Mathematics, 2002, 第 1 作者 (101) Is the Formal Energy of the Mid-Point Rule Convergent?, Computers and Mathematics with Applications, 2002, 第 1 作者 (102) Symplectic and Multi-Symplectic Methods for the Nonlinear Schrodinger Equation, Computers and Mathematics with Applications, 2002, 第 3 作者 (103) Expansion of Step-Transition Operator of Multi-Step Method and Its Applications (I), Journal of Computational Mathematics, 2002, 第 1 作者 (104) A Note on the Construction of Symplectic Schemes for Splitable Hamiltonian H = H1 + H2 + H3, Journal of Computational Mathematics, 2002, 第 1 作者 (105) Regularity Properties of One-Leg Methods for Delay Differential Equations, Computers and Mathematics with Applications, 2001, 通讯作者 (106) On Conjugate Symplecticity of Multi-Step Methods, Journal of Computational Mathematics, 2000, 第 1 作者 (107) A Note on Construction of Higher-order Symplectic Schemes from Lower-order One via Formal Energies, Journal of Computational Mathematics, 1999, 第 1 作者 (108) Interaction of a Dark Soliton with a Localized Impurity, Physics Letters A, 1997, 第 3 作者 (109) Symplectic Methods for the Ablowitz-Ladik Model, Applied Mathematics and Computation, 1997, 第 1 作者 (110) Symplectic Methods for the Nonlinear Schrodinger Equation, Computers and Mathematics with Applications, 1996, 第 1 作者 (111) Formal Energy of a Symplectic Scheme for Hamiltonian Systems and its Applications (I), Computers and Mathematics with Applications , 1994, 第 1 作者 (112) Formal Energy of Symplectic Scheme for Hamiltonian Systems and its Applications (II), Computers and Mathematics with Applications, 1994, 第 1 作者 (113) The Symplecticity of Multi-Step Methods, Computers and Mathematics with Applications, 1993, 第 1 作者 (114) Geodesic Flows on Compact Surfaces|As an Application of Hamiltonian Formalism, Computers and Mathematics with Applications, 1993, 第 1 作者 (115) The Necessary Condition for a Runge-Kutta Scheme to be Symplectic for Hamiltonian Systems, Computers and Mathematics with Applications, 1993, 第 1 作者 (116) Non-conservativity of the Traditional Schemes for Liouville and Contact Systems, Computers and Mathematics with Applications, 1993, 第 1 作者

学术兼职

2016-10-25-今,Progress in Fractional Differentiation and Applications, Member of Editorial Board 2014-08-08-今,Simulation: Transactions of the Society for Modeling and Simulation International, Associate Editor 2014-07-18-今,《计算数学》, 编委 2014-06-06-今,International Journal of Computer Mathematics, Associate Editor 2012-08-28-今,《系统仿真学报》, 编委 2012-08-16-2017-08-16,中国计算物理学会, 理事 2010-01-01-今,International Journal of Modeling, Simulation, and Scientific Computing, Associate Editor 2009-11-05-今,中国仿真学会, 常务理事

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