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
email: hjl@lsec.cc.ac.cn
address: 北京市中关村东路55号,中科院数学与系统科学研究院
postalCode:

研究领域

   

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
学历
   
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
2011-12-15-今,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,
2007-12-03-今,中科院工会副主席,

教授课程

数值分析
哈密尔顿系统的辛几何算法和多辛几何算法
随机微分方程数值解

专利与奖励

   
奖励信息
   
专利成果
   

出版信息

   
发表论文
(1) Analysis of a splitting scheme for damped stochastic nonlinear Schrödinger equation with multiplicative noise, SIAM J. Numer. Anal, 2018, 第 2 作者
(2) Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion, IMA J. Numer. Anal., 2018, 第 2 作者
(3) Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths, Appl. Numer. Math, 2018, 第 1 作者
(4) Preface [Numerical methods for stochastic partial differential equations (SPDEs), J. Comput. Math, 2018, 第 1 作者
(5) Explicit pseudo-symplectic methods for stochastic Hamiltonian systems, BIT, 2018, 第 3 作者
(6) Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation, Appl. Numer. Math, 2018, 第 1 作者
(7) A compact scheme for coupled stochastic nonlinear Schrödinger equations, Commun. Comput. Phys., 2017, 第 2 作者
(8) Construction of symplectic Runge-Kutta methods for stochastic Hamiltonian systems, Commun. Comput. Phys., 2017, 第 2 作者
(9) Approximation of invariant measure for damped stochastic nonlinear Schrödinger equation via an ergodic numerical scheme, Potential Anal., 2017, 第 2 作者
(10) Numerical analysis on ergodic limit of approximations for stochastic NLS equation via multi-symplectic scheme, SIAM J. Numer. Anal., 2017, 第 1 作者
(11) Dynamic evaluation of free-form curves and surfaces, SIAM J. Sci. Comput., 2017, 第 2 作者
(12) Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion, J. Comput. Phys., 2017, 第 2 作者
(13) Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrödinger equation, IMA J. Numer. Anal., 2017, 第 2 作者
(14) Local energy- and momentum-preserving schemes for Klein-Gordon-Schrödinger equations and convergence analysis, Numer. Methods Partial Differential Equations, 2017, 第 2 作者
(15) Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise, J. Comput. Appl. Math., 2017, 第 3 作者
(16) Optimal error estimate of a compact scheme for nonlinear Schrödinger equation, Appl. Numer. Math., 2017, 第 1 作者
(17) Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations, J. Differential Equations, 2017, 第 2 作者
(18) Approximating stochastic evolution equations with additive white and rough noises, SIAM J. Numer. Anal., 2017, 第 2 作者
(19) An energy-conserving method for stochastic Maxwell equations with multiplicative noise, J. Comput. Phys., 2017, 第 1 作者
(20) High order conformal symplectic and ergodic schemes for the stochastic Langevin equation via generating functions, SIAM J. Numer. Anal., 2017, 第 1 作者
(21) Convergence of a θ -scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise, Stoch. Partial Differ. Equ. Anal. Comput., 2016, 第 2 作者
(22) Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary, J. Math. Anal. Appl., 2016, 第 1 作者
(23) Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods, J. Comput. Phys., 2016, 第 2 作者
(24) Quasi-effective stability for nearly integrable Hamiltonian systems, Discrete Contin. Dyn. Syst. Ser. B, 2016, 第 2 作者
(25) Stochastic Runge-Kutta Semidiscretization for Stochastic Schroedinger Equation, SIAM J.. Numer. Anal., 2016, 第 2 作者
(26) Conservative methods for stochastic differential equations with a conserved quantity, Inter. J. Numer. Anal. & Model., 2016, 第 3 作者
(27) Projection methods for stochastic differential equations with conserved quantities, BIT Numer. Math., 2016, 第 3 作者
(28) Modified equations for weakly convergent stochastic symplectic scheme via their generating functions, BIT Numer. Math., 2016, 第 2 作者
(29) Compact and efficient conservative schemes for coupled nonlinear Schrödinger equations, Numer. Methods Partial Differential Equations, 2015, 第 2 作者
(30) Two energy-conserved splitting methods for three-dimensional time-domain Maxwell's equations and the convergence analysis, SIAM J. Numer. Anal., 2015, 第 2 作者
(31) Preservation of quadratic invariants of stochastic differential equations via Runge-Kutta methods, Appl. Numer. Math., 2015, 第 1 作者
(32) Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers, J. Comput. Phys., 2014, 第 1 作者
(33) A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise, J. Comput. Phys., 2014, 第 1 作者
(34) Generating functions for stochastic symplectic methods, Discrete Contin. Dyn. Syst., 2014, 第 2 作者
(35) Mean-square convergence of numerical approximations for a class of backward stochastic differential equations, Discrete Contin. Dyn. Syst. Ser. B, 2013, 第 2 作者
(36) LOD-MS for Gross-Pitaevskii equation in Bose-Einstein condensates, Commun. Comput. Phys., 2013, 第 2 作者
(37) Solvability of concatenated Runge-Kutta equations for second-order nonlinear PDEs, J. Comput. Appl. Math., 2013, 第 1 作者
(38) Stochastic multi-symplectic integrator for stochastic nonlinear Schrödinger equation, Commun. Comput. Phys., 2013, 第 3 作者
(39) Stochastic symplectic approximation for a linear system with additive noises, IAENG Int. J. Appl. Math., 2012, 第 2 作者
(40) Discrete gradient approach to stochastic differential equations with a conserved quantity, SIAM J. Numer. Anal., 2011, 第 1 作者
(41) Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC, J. Comput. Appl. Math., 2011, 第 2 作者
(42) High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations, Comput. Math. Appl., 2011, 第 3 作者
(43) Novel multi-symplectic integrators for nonlinear fourth-order Schrödinger equation with trapped term, Commun. Comput. Phys., 2010, 第 1 作者
(44) Splitting multisymplectic integrators for Maxwell's equations, J. Comput. Phys., 2010, 第 2 作者
(45) Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations, J. Comput. Phys., 2009, 第 1 作者
(46) Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations, Numer. Math., 2009, 第 1 作者
(47) Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme, J. Phys. A, 2008, 第 2 作者
(48) Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations, Numer. Math., 2008, 第 1 作者
(49) Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients, J. Comput. Phys., 2007, 第 1 作者
(50) Numerical comparison of five difference schemes for coupled Klein-Gordon-Schrödinger equations in quantum physics, J. Phys. A, 2007, 第 1 作者
(51) Explicit multi-symplectic methods for Hamiltonian wave equations, Commun. Comput. Phys., 2007, 第 1 作者
(52) The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs, Math. Comp., 2006, 第 1 作者
(53) Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations, J. Comput. Phys., 2006, 第 1 作者
(54) The computation of Lyapunov exponents for periodic trajectories, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 2005, 第 1 作者
发表著作
   

科研活动

   
科研项目
( 1 ) 基于流线场的复杂曲面微分结构构建研究, 主持, 国家级, 2013-01--2017-12
( 2 ) 严格光刻掩模板数值仿真算法研究, 主持, 部委级, 2014-06--2016-12
( 3 ) 随机偏微分方程多辛几何算法及不确定性量化, 主持, 国家级, 2016-06--2016-12
( 4 ) 随机哈密尔顿偏微分方程高效数值方法, 主持, 国家级, 2017-01--2019-12
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

合作情况

   
项目协作单位
   

指导学生