Edit Profile (opens in new tab) Hong, Jialin Co-Author Distance Author ID: hong.jialin Published as: Hong, Jialin; Hong, Jia-Lin Documents Indexed: 145 Publications since 1977, including 2 Books Reviewing Activity: 105 Reviews Co-Authors: 72 Co-Authors with 129 Joint Publications 2,816 Co-Co-Authors all top 5 Co-Authors 11 single-authored 19 Chen, Chuchu 15 Cui, Jianbo 13 Ji, Lihai 12 Kong, Linghua 11 Liu, Zhihui 11 Sun, Liying 9 Wang, Lijin 9 Wang, Xu 8 Obaya, Rafael 8 Zhang, Liying 7 Liu, Ying 6 Li, Chun 6 Yuan, Rong 5 Alonso, Ana Isabel 5 Jiang, Shanshan 5 Sheng, Derui 4 Huang, Chuying 4 Scherer, Rudolf 4 Zhou, Weien 3 Cai, Jiaxiang 3 Cao, Yanzhao 3 Han, Yuliang 3 Liu, Hongyu 3 Sanz, Ana M. 3 Wang, Yushun 2 Cong, Fuzhong 2 Dang, Tonghe 2 Fu, Fangfang 2 Hou, Baohui 2 Jin, Diancong 2 Li, Weixin 2 Liu, Xiaoyan 2 Sim, Chol 2 Song, Songhe 2 Sun, Geng 2 Wang, Peng 2 Xu, Dongsheng 2 Xu, Feng 2 Yang, Xunnian 2 Zhou, Tau 1 Agarwal, Ravi P. 1 Bai, Fengshan 1 Bréhier, Charles-Edouard 1 Cao, Ying 1 Chen, Jing 1 Chung, Bok Keun 1 Ding, Peizhu 1 Gil, A. S. 1 Gong, Yuezheng 1 Jing, Zhujun 1 Kamrani, Minoo 1 Lam, Y. Y. 1 Lee, Wa Tsan 1 Li, Hongtian 1 Li, Qiang 1 Liu, C. 1 Liu, Ruxun 1 Lu, Yulan 1 Ma, Yuanping 1 Miao, Lijun 1 Munthe-Kaas, Hans Z. 1 Niu, Xinyan 1 Núñez Jiménez, Carmen 1 Prohl, Andreas 1 Qin, Mengzhao 1 Rojo, Jesús 1 Ruan, Jialin 1 Sonwu, Kwang 1 Sun, Yajuan 1 Wang, Lan 1 Wang, Ronghua 1 Wang, Tingchun 1 Yin, Xiuling 1 Yu, Xin 1 Zanna, Antonella 1 Zhai, Shuxing 1 Zhu, Pengfei all top 5 Serials 13 Journal of Computational Physics 11 SIAM Journal on Numerical Analysis 7 Communications in Computational Physics 6 Journal of Differential Equations 6 Applied Mathematics Letters 5 IMA Journal of Numerical Analysis 5 Journal of Mathematical Analysis and Applications 5 BIT 5 Applied Numerical Mathematics 5 Annals of Differential Equations 5 Discrete and Continuous Dynamical Systems. Series B 4 Computers & Mathematics with Applications 4 Journal of Computational and Applied Mathematics 4 Mathematical and Computer Modelling 3 Stochastic Processes and their Applications 3 SIAM Journal on Scientific Computing 2 Mathematics of Computation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerische Mathematik 2 Numerical Methods for Partial Differential Equations 2 Science in China. Series A 2 Potential Analysis 2 Neural, Parallel & Scientific Computations 2 International Journal of Numerical Analysis and Modeling 2 Lecture Notes in Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 Applicable Analysis 1 Computer Physics Communications 1 International Journal of Multiphase Flow 1 Studia Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Mathematical Research & Exposition 1 Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series A 1 Chinese Annals of Mathematics. Series B 1 International Journal of Production Research 1 Acta Scientiarum Naturalium Universitatis Jilinensis 1 Journal of Engineering Mathematics (Xi’an) 1 Journal of Systems Science and Mathematical Sciences 1 Journal of Complexity 1 Northeastern Mathematical Journal 1 Journal of Xinjiang University. Natural Science 1 Mathematica Applicata 1 Journal of Tsinghua University. Science and Technology 1 Dynamic Systems and Applications 1 Applied Mathematical Modelling 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Discrete and Continuous Dynamical Systems 1 Progress of Theoretical Physics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Mathematical Research 1 IAENG. International Journal of Applied Mathematics 1 Communication on Applied Mathematics and Computation 1 Nonlinear Analysis. Theory, Methods & Applications 1 Communications on Applied Mathematics and Computation all top 5 Fields 88 Numerical analysis (65-XX) 58 Probability theory and stochastic processes (60-XX) 45 Dynamical systems and ergodic theory (37-XX) 42 Partial differential equations (35-XX) 37 Ordinary differential equations (34-XX) 5 Optics, electromagnetic theory (78-XX) 5 Quantum theory (81-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 2 Fluid mechanics (76-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 119 Publications have been cited 1,197 times in 638 Documents Cited by ▼ Year ▼ The existence of almost periodic solutions for a class of differential equations with piecewise constant argument. Zbl 0869.34038Yuan, Rong; Hong, Jialin 55 1997 Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations. Zbl 1120.65341Hong, Jialin; Li, Chun 52 2006 Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations. Zbl 1164.65035Hong, Jialin; Jiang, Shanshan; Li, Chun 49 2008 Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. Zbl 1110.65116Hong, Jialin; Liu, Ying; Munthe-Kaas, Hans; Zanna, Antonella 41 2006 Splitting multisymplectic integrators for Maxwell’s equations. Zbl 1192.78045Kong, Linghua; Hong, Jialin; Zhang, Jingjing 37 2010 Exponential dichotomy and trichotomy for difference equations. Zbl 0939.39003Alonso, A. I.; Hong, Jialin; Obaya, R. 27 1999 The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs. Zbl 1084.65127Hong, Jialin; Liu, Hongyu; Sun, Geng 26 2006 Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation. Zbl 1496.65095Bréhier, Charles-Edouard; Cui, Jianbo; Hong, Jialin 24 2019 A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise. Zbl 1349.65536Hong, Jialin; Ji, Lihai; Zhang, Liying 23 2014 Approximating stochastic evolution equations with additive white and rough noises. Zbl 1373.60124Cao, Yanzhao; Hong, Jialin; Liu, Zhihui 23 2017 High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations. Zbl 1211.65115Ma, Yuanping; Kong, Linghua; Hong, Jialin; Cao, Ying 23 2011 Preservation of quadratic invariants of stochastic differential equations via Runge-Kutta methods. Zbl 1302.65027Hong, Jialin; Xu, Dongsheng; Wang, Peng 23 2015 Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences. Zbl 0978.34039Alonso, A. I.; Hong, Jialin; Obaya, R. 23 2000 Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers. Zbl 1349.78092Hong, Jialin; Ji, Lihai; Kong, Linghua 22 2014 Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations. Zbl 1371.60122Cui, Jianbo; Hong, Jialin; Liu, Zhihui 22 2017 Almost-periodic-type solutions of some differential equations with piecewise constant argument. Zbl 0996.34062Hong, Jialin; Obaya, Rafael; Sanz, Ana 22 2001 Strong and weak convergence rates of a spatial approximation for stochastic partial differential equation with one-sided Lipschitz coefficient. Zbl 1420.60093Cui, Jianbo; Hong, Jialin 21 2019 Almost periodic solutions of differential equations with piecewise constant argument. Zbl 0855.34089Yuan, Rong; Hong, Jialin 19 1996 Discrete gradient approach to stochastic differential equations with a conserved quantity. Zbl 1258.65006Hong, Jialin; Zhai, Shuxing; Zhang, Jingjing 19 2011 Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations. Zbl 1431.60066Cui, Jianbo; Hong, Jialin; Liu, Zhihui; Zhou, Weien 19 2019 Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods. Zbl 1351.78061Chen, Chuchu; Hong, Jialin; Zhang, Liying 18 2016 Stochastic multi-symplectic integrator for stochastic nonlinear Schrödinger equation. Zbl 1373.60125Jiang, Shanshan; Wang, Lijin; Hong, Jialin 17 2013 Symplectic Runge-Kutta semidiscretization for stochastic Schrödinger equation. Zbl 1347.65010Chen, Chuchu; Hong, Jialin 17 2016 The almost periodic type difference equations. Zbl 0992.39003Hong, Jialin; Núñez, C. 17 1998 Midpoint rule for a linear stochastic oscillator with additive noise. Zbl 1105.65008Hong, Jialin; Scherer, Rudolf; Wang, Lijin 16 2006 Numerical comparison of five difference schemes for coupled Klein-Gordon-Schrödinger equations in quantum physics. Zbl 1120.81005Hong, Jialin; Jiang, Shanshan; Kong, Linghua; Li, Chun 16 2007 Two energy-conserved splitting methods for three-dimensional time-domain Maxwell’s equations and the convergence analysis. Zbl 1327.65171Cai, Jiaxiang; Hong, Jialin; Wang, Yushun; Gong, Yuezheng 15 2015 Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation. Zbl 1382.65316Hong, Jialin; Ji, Lihai; Liu, Zhihui 15 2018 A novel numerical approach to simulating nonlinear Schrödinger equations with varying coefficients. Zbl 1046.65072Hong, Jialin; Liu, Ying 15 2003 High order conformal symplectic and ergodic schemes for the stochastic Langevin equation via generating functions. Zbl 1386.60241Hong, Jialin; Sun, Liying; Wang, Xu 14 2017 Generating functions for stochastic symplectic methods. Zbl 1278.65006Wang, Lijin; Hong, Jialin 14 2014 Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients. Zbl 1132.65112Hong, Jialin; Liu, Xiao-Yan; Li, Chun 14 2007 Predictor-corrector methods for a linear stochastic oscillator with additive noise. Zbl 1140.65014Hong, Jialin; Scherer, Rudolf; Wang, Lijin 14 2007 Projection methods for stochastic differential equations with conserved quantities. Zbl 1354.60081Zhou, Weien; Zhang, Liying; Hong, Jialin; Song, Songhe 13 2016 Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise. Zbl 1367.65015Zhou, Weien; Zhang, Jingjing; Hong, Jialin; Song, Songhe 13 2017 An energy-conserving method for stochastic Maxwell equations with multiplicative noise. Zbl 1380.65302Hong, Jialin; Ji, Lihai; Zhang, Liying; Cai, Jiaxiang 13 2017 Compact and efficient conservative schemes for coupled nonlinear Schrödinger equations. Zbl 1339.65125Kong, Linghua; Hong, Jialin; Ji, Lihai; Zhu, Pengfei 13 2015 Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion. Zbl 1406.65106Cao, Yanzhao; Hong, Jialin; Liu, Zhihui 13 2018 Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion. Zbl 1380.65417Cui, Jianbo; Hong, Jialin; Liu, Zhihui; Zhou, Weien 12 2017 A class of ergodic solutions of differential equations with piecewise constant arguments. Zbl 0927.34028Alonso, Ana I.; Hong, Jialin; Rojo, Jesús 12 1998 Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion. Zbl 1451.60076Hong, Jialin; Huang, Chuying; Kamrani, Minoo; Wang, Xu 11 2020 Convergence of a \(\theta \)-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise. Zbl 1362.65012Chen, Chuchu; Hong, Jialin; Prohl, Andreas 10 2016 Multi-symplectic algorithms for Hamiltonian partial differential equations. Zbl 1289.65278Wang, Yushun; Hong, Jialin 10 2013 Analysis of a splitting scheme for damped stochastic nonlinear Schrödinger equation with multiplicative noise. Zbl 1391.60165Cui, Jianbo; Hong, Jialin 10 2018 Invariant measures for stochastic nonlinear Schrödinger equations. Numerical approximations and symplectic structures. Zbl 1429.37001Hong, Jialin; Wang, Xu 10 2019 Exponential integrators for stochastic Maxwell’s equations driven by Itô noise. Zbl 1436.60061Cohen, David; Cui, Jianbo; Hong, Jialin; Sun, Liying 10 2020 Approximation of invariant measure for damped stochastic nonlinear Schrödinger equation via an ergodic numerical scheme. Zbl 1402.60085Chen, Chuchu; Hong, Jialin; Wang, Xu 9 2017 Exponential trichotomy and a class of ergodic solutions of differential equations with ergodic perturbations. Zbl 0935.34044Hong, Jialin; Obaya, R.; Gil, A. S. 9 1999 Construction of symplectic Runge-Kutta methods for stochastic Hamiltonian systems. Zbl 1388.65183Wang, Peng; Hong, Jialin; Xu, Dongsheng 8 2017 The existence of almost periodic solutions of a population equation with delay. Zbl 0879.34044Yuan, Rong; Hong, Jialin 8 1996 Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme. Zbl 1198.81019Kong, Linghua; Hong, Jialin; Liu, Ruxun 8 2008 Explicit multi-symplectic methods for Hamiltonian wave equations. Zbl 1164.65523Hong, Jialin; Jiang, Shanshan; Li, Chun; Liu, Hongyu 8 2007 Novel multi-symplectic integrators for nonlinear fourth-order Schrödinger equation with trapped term. Zbl 1364.65165Hong, Jialin; Kong, Linghua 8 2010 Optimal error estimate of a compact scheme for nonlinear Schrödinger equation. Zbl 1370.65072Hong, Jialin; Ji, Lihai; Kong, Linghua; Wang, Tingchun 7 2017 Conservative methods for stochastic differential equations with a conserved quantity. Zbl 1344.60066Chen, Chuchu; Cohen, David; Hong, Jialin 7 2016 Modified equations for weakly convergent stochastic symplectic schemes via their generating functions. Zbl 1355.65018Wang, Lijin; Hong, Jialin; Sun, Liying 7 2016 Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC. Zbl 1223.65097Kong, Linghua; Hong, Jialin; Fu, Fangfang; Chen, Jing 7 2011 Symplectic integrator for nonlinear high order Schrödinger equation with a trapped term. Zbl 1171.65090Kong, Linghua; Hong, Jialin; Wang, Lan; Fu, Fangfang 7 2009 A survey of multi-symplectic Runge-Kutta type methods for Hamiltonian partial differential equations. Zbl 1097.65126Hong, Jialin 7 2005 Dynamics and variational integrators of stochastic Hamiltonian systems. Zbl 1499.65193Wang, Lijin; Hong, Jialin; Scherer, Rudolf; Bai, Fengshan 7 2009 Numerical analysis on ergodic limit of approximations for stochastic NLS equation via multi-symplectic scheme. Zbl 1382.37088Hong, Jialin; Wang, Xu; Zhang, Liying 6 2017 A compact scheme for coupled stochastic nonlinear Schrödinger equations. Zbl 1373.60108Chen, Chuchu; Hong, Jialin; Ji, Lihai; Kong, Linghua 6 2017 Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves. Zbl 1062.35115Hong, Jialin; Liu, Ying 6 2004 Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrödinger equation. Zbl 1433.65208Chen, Chuchu; Hong, Jialin; Ji, Lihai 6 2017 Mean-square convergence of a semidiscrete scheme for stochastic Maxwell equations. Zbl 1422.60112Chen, Chuchu; Hong, Jialin; Ji, Lihai 6 2019 Almost periodic random sequences in probability. Zbl 1127.60029Han, Yuliang; Hong, Jialin 6 2007 Explicit pseudo-symplectic methods for stochastic Hamiltonian systems. Zbl 1390.60261Niu, Xinyan; Cui, Jianbo; Hong, Jialin; Liu, Zhihui 5 2018 LOD-MS for Gross-Pitaevskii equation in Bose-Einstein condensates. Zbl 1373.82080Kong, Linghua; Hong, Jialin; Zhang, Jingjing 5 2013 Existence of a class of ergodic solutions implies exponential trichotomy. Zbl 0941.34041Hong, Jialin; Obaya, R.; Sanz, A. 5 1999 Strong convergence of full discretization for stochastic Cahn-Hilliard equation driven by additive noise. Zbl 1480.60196Cui, Jianbo; Hong, Jialin; Sun, Liying 5 2021 Multisymplecticity of the centred box discretization for Hamiltonian PDEs with \(m\geq 2\) space dimensions. Zbl 1009.37051Hong, Jialin; Qin, Meng-Zhao 5 2002 Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations. Zbl 1158.65085Hong, Jialin; Sun, Yajuan 5 2008 Runge-Kutta semidiscretizations for stochastic Maxwell equations with additive noise. Zbl 1479.60124Chen, Chuchu; Hong, Jialin; Ji, Lihai 5 2019 Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients. Zbl 1472.60099Cui, Jianbo; Hong, Jialin; Sun, Liying 5 2021 Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions. Zbl 1509.65003Hong, Jialin; Huang, Chuying; Wang, Xu 5 2021 Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion. Zbl 1447.60096Cui, Jianbo; Hong, Jialin 5 2020 Local energy- and momentum-preserving schemes for Klein-Gordon-Schrödinger equations and convergence analysis. Zbl 1377.65101Cai, Jiaxiang; Hong, Jialin; Wang, Yushun 4 2017 Ergodic type solutions of some differential equations. Zbl 0995.34048Hong, Jialin; Obaya, Rafael 4 2001 Structure-preserving numerical methods for stochastic Poisson systems. Zbl 1481.65261Hong, Jialin; Ruan, Jialin; Sun, Liying; Wang, Lijin 4 2021 The computation of Lyapunov exponents for periodic trajectories. Zbl 1094.34526Hong, Jialin 4 2005 Exponential trichotomies and Fredholm operators. Zbl 0779.34037Hong, Jialin 3 1993 Dynamic evaluation of free-form curves and surfaces. Zbl 1365.65037Yang, Xunnian; Hong, Jialin 3 2017 Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance. Zbl 0990.65140Hong, Jialin; Liu, Ying 3 2000 Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary. Zbl 1338.35416Hong, Jialin; Ji, Lihai 3 2016 On global existence and blow-up for damped stochastic nonlinear Schrödinger equation. Zbl 1423.60097Cui, Jianbo; Hong, Jialin; Sun, Liying 3 2019 Near-invariant tori on exponentially long time for Poisson systems. Zbl 1115.37054Cong, Fuzhong; Hong, Jialin; Han, Yuliang 3 2007 Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations. Zbl 07506165Chen, Chuchu; Hong, Jialin; Sim, Chol; Sonwu, Kwang 3 2020 Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths. Zbl 06865801Hong, Jialin; Huang, Chuying; Wang, Xu 2 2018 Existence of almost periodic solutions of neutral differential equations with piecewise constant argument. Zbl 0876.34079Yuan, Rong; Hong, Jialin 2 1996 Ergodic solutions via ergodic sequences. Zbl 0957.34054Hong, Jialin; Obaya, Rafael; Sanz, Ana M. 2 2000 Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations. Zbl 1167.65070Hong, Jialin; Jiang, Shanshan; Li, Chun 2 2009 Spurious behavior of a symplectic integrator. Zbl 1129.65093Hong, Jialin; Liu, Hongyu; Sun, Geng 2 2005 Optimization of explicit symplectic schemes for time-dependent Schrödinger equations. Zbl 1089.35053Liu, Xiaoyan; Ding, Peizhu; Hong, Jialin; Wang, Lijin 2 2005 Dynamic evaluation of exponential polynomial curves and surfaces via basis transformation. Zbl 07124612Yang, Xunnian; Hong, Jialin 2 2019 Parareal exponential \(\theta \)-scheme for longtime simulation of stochastic Schrödinger equations with weak damping. Zbl 1433.60076Hong, Jialin; Wang, Xu; Zhang, Liying 2 2019 Well-posedness and optimal regularity of stochastic evolution equations with multiplicative noises. Zbl 1418.60098Hong, Jialin; Liu, Zhihui 2 2019 Existence of \(\psi\)-bounded solutions for linear difference equations. Zbl 1120.39006Han, Yuliang; Hong, Jialin 2 2007 A review on stochastic multi-symplectic methods for stochastic Maxwell equations. Zbl 1449.60111Zhang, Liying; Chen, Chuchu; Hong, Jialin; Ji, Lihai 2 2019 Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise. Zbl 07517148Hong, Jialin; Hou, Baohui; Sun, Liying 2 2022 Well-posedness and finite element approximations for elliptic SPDEs with Gaussian noises. Zbl 1463.65392Cao, Yanzhao; Hong, Jialin; Liu, Zhihui 2 2020 Stochastic differential equation with piecewise continuous arguments: Markov property, invariant measure and numerical approximation. Zbl 1498.60286Chen, Chuchu; Hong, Jialin; Lu, Yulan 2 2023 Strong error analysis of Euler methods for overdamped generalized Langevin equations with fractional noise: nonlinear case. Zbl 07739203Dai, Xinjie; Hong, Jialin; Sheng, Derui; Zhou, Tau 1 2023 Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise. Zbl 07517148Hong, Jialin; Hou, Baohui; Sun, Liying 2 2022 Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations. Zbl 07568553Hong, Jialin; Hou, Baohui; Li, Qiang; Sun, Liying 1 2022 Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation. Zbl 1502.60091Cui, Jianbo; Hong, Jialin; Sheng, Derui 1 2022 Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model. Zbl 1497.37101Hong, Jialin; Ji, Lihai; Wang, Xu; Zhang, Jingjing 1 2022 Symplectic integration of stochastic Hamiltonian systems. Zbl 07634793Hong, Jialin; Sun, Liying 1 2022 Strong convergence of full discretization for stochastic Cahn-Hilliard equation driven by additive noise. Zbl 1480.60196Cui, Jianbo; Hong, Jialin; Sun, Liying 5 2021 Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients. Zbl 1472.60099Cui, Jianbo; Hong, Jialin; Sun, Liying 5 2021 Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions. Zbl 1509.65003Hong, Jialin; Huang, Chuying; Wang, Xu 5 2021 Structure-preserving numerical methods for stochastic Poisson systems. Zbl 1481.65261Hong, Jialin; Ruan, Jialin; Sun, Liying; Wang, Lijin 4 2021 Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion. Zbl 1451.60076Hong, Jialin; Huang, Chuying; Kamrani, Minoo; Wang, Xu 11 2020 Exponential integrators for stochastic Maxwell’s equations driven by Itô noise. Zbl 1436.60061Cohen, David; Cui, Jianbo; Hong, Jialin; Sun, Liying 10 2020 Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion. Zbl 1447.60096Cui, Jianbo; Hong, Jialin 5 2020 Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations. Zbl 07506165Chen, Chuchu; Hong, Jialin; Sim, Chol; Sonwu, Kwang 3 2020 Well-posedness and finite element approximations for elliptic SPDEs with Gaussian noises. Zbl 1463.65392Cao, Yanzhao; Hong, Jialin; Liu, Zhihui 2 2020 Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation. Zbl 1496.65095Bréhier, Charles-Edouard; Cui, Jianbo; Hong, Jialin 24 2019 Strong and weak convergence rates of a spatial approximation for stochastic partial differential equation with one-sided Lipschitz coefficient. Zbl 1420.60093Cui, Jianbo; Hong, Jialin 21 2019 Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations. Zbl 1431.60066Cui, Jianbo; Hong, Jialin; Liu, Zhihui; Zhou, Weien 19 2019 Invariant measures for stochastic nonlinear Schrödinger equations. Numerical approximations and symplectic structures. Zbl 1429.37001Hong, Jialin; Wang, Xu 10 2019 Mean-square convergence of a semidiscrete scheme for stochastic Maxwell equations. Zbl 1422.60112Chen, Chuchu; Hong, Jialin; Ji, Lihai 6 2019 Runge-Kutta semidiscretizations for stochastic Maxwell equations with additive noise. Zbl 1479.60124Chen, Chuchu; Hong, Jialin; Ji, Lihai 5 2019 On global existence and blow-up for damped stochastic nonlinear Schrödinger equation. Zbl 1423.60097Cui, Jianbo; Hong, Jialin; Sun, Liying 3 2019 Dynamic evaluation of exponential polynomial curves and surfaces via basis transformation. Zbl 07124612Yang, Xunnian; Hong, Jialin 2 2019 Parareal exponential \(\theta \)-scheme for longtime simulation of stochastic Schrödinger equations with weak damping. Zbl 1433.60076Hong, Jialin; Wang, Xu; Zhang, Liying 2 2019 Well-posedness and optimal regularity of stochastic evolution equations with multiplicative noises. Zbl 1418.60098Hong, Jialin; Liu, Zhihui 2 2019 A review on stochastic multi-symplectic methods for stochastic Maxwell equations. Zbl 1449.60111Zhang, Liying; Chen, Chuchu; Hong, Jialin; Ji, Lihai 2 2019 Optimal regularity of stochastic evolution equations in M-type 2 Banach spaces. Zbl 1412.60090Hong, Jialin; Huang, Chuying; Liu, Zhihui 1 2019 Convergence analysis of a symplectic semi-discretization for stochastic nls equation with quadratic potential. Zbl 1420.60082Hong, Jialin; Miao, Lijun; Zhang, Liying 1 2019 Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation. Zbl 1382.65316Hong, Jialin; Ji, Lihai; Liu, Zhihui 15 2018 Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion. Zbl 1406.65106Cao, Yanzhao; Hong, Jialin; Liu, Zhihui 13 2018 Analysis of a splitting scheme for damped stochastic nonlinear Schrödinger equation with multiplicative noise. Zbl 1391.60165Cui, Jianbo; Hong, Jialin 10 2018 Explicit pseudo-symplectic methods for stochastic Hamiltonian systems. Zbl 1390.60261Niu, Xinyan; Cui, Jianbo; Hong, Jialin; Liu, Zhihui 5 2018 Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths. Zbl 06865801Hong, Jialin; Huang, Chuying; Wang, Xu 2 2018 Approximating stochastic evolution equations with additive white and rough noises. Zbl 1373.60124Cao, Yanzhao; Hong, Jialin; Liu, Zhihui 23 2017 Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations. Zbl 1371.60122Cui, Jianbo; Hong, Jialin; Liu, Zhihui 22 2017 High order conformal symplectic and ergodic schemes for the stochastic Langevin equation via generating functions. Zbl 1386.60241Hong, Jialin; Sun, Liying; Wang, Xu 14 2017 Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise. Zbl 1367.65015Zhou, Weien; Zhang, Jingjing; Hong, Jialin; Song, Songhe 13 2017 An energy-conserving method for stochastic Maxwell equations with multiplicative noise. Zbl 1380.65302Hong, Jialin; Ji, Lihai; Zhang, Liying; Cai, Jiaxiang 13 2017 Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion. Zbl 1380.65417Cui, Jianbo; Hong, Jialin; Liu, Zhihui; Zhou, Weien 12 2017 Approximation of invariant measure for damped stochastic nonlinear Schrödinger equation via an ergodic numerical scheme. Zbl 1402.60085Chen, Chuchu; Hong, Jialin; Wang, Xu 9 2017 Construction of symplectic Runge-Kutta methods for stochastic Hamiltonian systems. Zbl 1388.65183Wang, Peng; Hong, Jialin; Xu, Dongsheng 8 2017 Optimal error estimate of a compact scheme for nonlinear Schrödinger equation. Zbl 1370.65072Hong, Jialin; Ji, Lihai; Kong, Linghua; Wang, Tingchun 7 2017 Numerical analysis on ergodic limit of approximations for stochastic NLS equation via multi-symplectic scheme. Zbl 1382.37088Hong, Jialin; Wang, Xu; Zhang, Liying 6 2017 A compact scheme for coupled stochastic nonlinear Schrödinger equations. Zbl 1373.60108Chen, Chuchu; Hong, Jialin; Ji, Lihai; Kong, Linghua 6 2017 Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrödinger equation. Zbl 1433.65208Chen, Chuchu; Hong, Jialin; Ji, Lihai 6 2017 Local energy- and momentum-preserving schemes for Klein-Gordon-Schrödinger equations and convergence analysis. Zbl 1377.65101Cai, Jiaxiang; Hong, Jialin; Wang, Yushun 4 2017 Dynamic evaluation of free-form curves and surfaces. Zbl 1365.65037Yang, Xunnian; Hong, Jialin 3 2017 Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods. Zbl 1351.78061Chen, Chuchu; Hong, Jialin; Zhang, Liying 18 2016 Symplectic Runge-Kutta semidiscretization for stochastic Schrödinger equation. Zbl 1347.65010Chen, Chuchu; Hong, Jialin 17 2016 Projection methods for stochastic differential equations with conserved quantities. Zbl 1354.60081Zhou, Weien; Zhang, Liying; Hong, Jialin; Song, Songhe 13 2016 Convergence of a \(\theta \)-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise. Zbl 1362.65012Chen, Chuchu; Hong, Jialin; Prohl, Andreas 10 2016 Conservative methods for stochastic differential equations with a conserved quantity. Zbl 1344.60066Chen, Chuchu; Cohen, David; Hong, Jialin 7 2016 Modified equations for weakly convergent stochastic symplectic schemes via their generating functions. Zbl 1355.65018Wang, Lijin; Hong, Jialin; Sun, Liying 7 2016 Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary. Zbl 1338.35416Hong, Jialin; Ji, Lihai 3 2016 Preservation of quadratic invariants of stochastic differential equations via Runge-Kutta methods. Zbl 1302.65027Hong, Jialin; Xu, Dongsheng; Wang, Peng 23 2015 Two energy-conserved splitting methods for three-dimensional time-domain Maxwell’s equations and the convergence analysis. Zbl 1327.65171Cai, Jiaxiang; Hong, Jialin; Wang, Yushun; Gong, Yuezheng 15 2015 Compact and efficient conservative schemes for coupled nonlinear Schrödinger equations. Zbl 1339.65125Kong, Linghua; Hong, Jialin; Ji, Lihai; Zhu, Pengfei 13 2015 A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise. Zbl 1349.65536Hong, Jialin; Ji, Lihai; Zhang, Liying 23 2014 Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers. Zbl 1349.78092Hong, Jialin; Ji, Lihai; Kong, Linghua 22 2014 Generating functions for stochastic symplectic methods. Zbl 1278.65006Wang, Lijin; Hong, Jialin 14 2014 Stochastic multi-symplectic integrator for stochastic nonlinear Schrödinger equation. Zbl 1373.60125Jiang, Shanshan; Wang, Lijin; Hong, Jialin 17 2013 Multi-symplectic algorithms for Hamiltonian partial differential equations. Zbl 1289.65278Wang, Yushun; Hong, Jialin 10 2013 LOD-MS for Gross-Pitaevskii equation in Bose-Einstein condensates. Zbl 1373.82080Kong, Linghua; Hong, Jialin; Zhang, Jingjing 5 2013 Solvability of concatenated Runge-Kutta equations for second-order nonlinear PDEs. Zbl 1262.65139Hong, Jialin; Sim, Chol; Yin, Xiuling 1 2013 Mean-square convergence of numerical approximations for a class of backward stochastic differential equations. Zbl 1276.60072Chen, Chuchu; Hong, Jialin 1 2013 Stochastic symplectic approximation for a linear system with additive noises. Zbl 1512.65018Wang, Lijin; Hong, Jialin; Scherer, Rudolf 1 2012 High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations. Zbl 1211.65115Ma, Yuanping; Kong, Linghua; Hong, Jialin; Cao, Ying 23 2011 Discrete gradient approach to stochastic differential equations with a conserved quantity. Zbl 1258.65006Hong, Jialin; Zhai, Shuxing; Zhang, Jingjing 19 2011 Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC. Zbl 1223.65097Kong, Linghua; Hong, Jialin; Fu, Fangfang; Chen, Jing 7 2011 Splitting multisymplectic integrators for Maxwell’s equations. Zbl 1192.78045Kong, Linghua; Hong, Jialin; Zhang, Jingjing 37 2010 Novel multi-symplectic integrators for nonlinear fourth-order Schrödinger equation with trapped term. Zbl 1364.65165Hong, Jialin; Kong, Linghua 8 2010 Symplectic integrator for nonlinear high order Schrödinger equation with a trapped term. Zbl 1171.65090Kong, Linghua; Hong, Jialin; Wang, Lan; Fu, Fangfang 7 2009 Dynamics and variational integrators of stochastic Hamiltonian systems. Zbl 1499.65193Wang, Lijin; Hong, Jialin; Scherer, Rudolf; Bai, Fengshan 7 2009 Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations. Zbl 1167.65070Hong, Jialin; Jiang, Shanshan; Li, Chun 2 2009 Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations. Zbl 1164.65035Hong, Jialin; Jiang, Shanshan; Li, Chun 49 2008 Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme. Zbl 1198.81019Kong, Linghua; Hong, Jialin; Liu, Ruxun 8 2008 Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations. Zbl 1158.65085Hong, Jialin; Sun, Yajuan 5 2008 Numerical comparison of five difference schemes for coupled Klein-Gordon-Schrödinger equations in quantum physics. Zbl 1120.81005Hong, Jialin; Jiang, Shanshan; Kong, Linghua; Li, Chun 16 2007 Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients. Zbl 1132.65112Hong, Jialin; Liu, Xiao-Yan; Li, Chun 14 2007 Predictor-corrector methods for a linear stochastic oscillator with additive noise. Zbl 1140.65014Hong, Jialin; Scherer, Rudolf; Wang, Lijin 14 2007 Explicit multi-symplectic methods for Hamiltonian wave equations. Zbl 1164.65523Hong, Jialin; Jiang, Shanshan; Li, Chun; Liu, Hongyu 8 2007 Almost periodic random sequences in probability. Zbl 1127.60029Han, Yuliang; Hong, Jialin 6 2007 Near-invariant tori on exponentially long time for Poisson systems. Zbl 1115.37054Cong, Fuzhong; Hong, Jialin; Han, Yuliang 3 2007 Existence of \(\psi\)-bounded solutions for linear difference equations. Zbl 1120.39006Han, Yuliang; Hong, Jialin 2 2007 Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations. Zbl 1120.65341Hong, Jialin; Li, Chun 52 2006 Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. Zbl 1110.65116Hong, Jialin; Liu, Ying; Munthe-Kaas, Hans; Zanna, Antonella 41 2006 The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs. Zbl 1084.65127Hong, Jialin; Liu, Hongyu; Sun, Geng 26 2006 Midpoint rule for a linear stochastic oscillator with additive noise. Zbl 1105.65008Hong, Jialin; Scherer, Rudolf; Wang, Lijin 16 2006 A survey of multi-symplectic Runge-Kutta type methods for Hamiltonian partial differential equations. Zbl 1097.65126Hong, Jialin 7 2005 The computation of Lyapunov exponents for periodic trajectories. Zbl 1094.34526Hong, Jialin 4 2005 Spurious behavior of a symplectic integrator. Zbl 1129.65093Hong, Jialin; Liu, Hongyu; Sun, Geng 2 2005 Optimization of explicit symplectic schemes for time-dependent Schrödinger equations. Zbl 1089.35053Liu, Xiaoyan; Ding, Peizhu; Hong, Jialin; Wang, Lijin 2 2005 Decision support system for rapid prototyping process selection through integration of fuzzy synthetic evaluation and an expert system. Zbl 1060.90587Lan, H.; Ding, Y.; Hong, J. 1 2005 Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves. Zbl 1062.35115Hong, Jialin; Liu, Ying 6 2004 A novel numerical approach to simulating nonlinear Schrödinger equations with varying coefficients. Zbl 1046.65072Hong, Jialin; Liu, Ying 15 2003 Multisymplecticity of the centred box discretization for Hamiltonian PDEs with \(m\geq 2\) space dimensions. Zbl 1009.37051Hong, Jialin; Qin, Meng-Zhao 5 2002 Almost-periodic-type solutions of some differential equations with piecewise constant argument. Zbl 0996.34062Hong, Jialin; Obaya, Rafael; Sanz, Ana 22 2001 Ergodic type solutions of some differential equations. Zbl 0995.34048Hong, Jialin; Obaya, Rafael 4 2001 Ergodic type solutions of differential equations with piecewise constant arguments. Zbl 1005.34066Alonso, Ana Isabel; Hong, Jialin 1 2001 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 795 Authors 70 Hong, Jialin 38 Wang, Yushun 19 Cai, Jiaxiang 19 Yuan, Rong 17 Kong, Linghua 16 Cui, Jianbo 14 Chen, Chuchu 14 Ding, Xiaohua 13 Cai, Wenjun 13 Li, Jichun 13 Song, Songhe 12 Li, Haochen 12 Sun, Liying 11 Liu, Zhihui 10 Ji, Lihai 10 Wang, Tingchun 9 Wang, Lijin 9 Zhang, Liying 8 Akhmet, Marat Ubaydulla 8 Gong, Yuezheng 7 Li, Jiyong 7 Ma, Qiang 7 Pinto, Manuel 7 Qian, Xu 7 Sun, Yajuan 7 Wang, Xiaojie 7 Wang, Xu 7 Xiao, Aiguo 7 Zhang, Luming 6 Bréhier, Charles-Edouard 6 D’Ambrosio, Raffaele 6 Jiang, Chaolong 6 Sun, Jianqiang 6 Wang, Jialing 6 Wang, Lan 6 Xia, Yonghui 5 Cai, Yongyong 5 Cao, Yanzhao 5 Deng, Weihua 5 Deng, Zichen 5 Ezzinbi, Khalil 5 Huang, Yunqing 5 Li, Chun 5 Nie, Daxin 5 Obaya, Rafael 5 Qin, Mengzhao 5 Sasu, Adina Luminiţa 5 Sasu, Bogdan 5 Vesely, Michal 5 Zhang, Chuanyi 5 Zhou, Weien 4 Anton, Cristina A. 4 Bézandry, Paul Hubert 4 Debrabant, Kristian 4 Dehghan Takht Fooladi, Mehdi 4 Gan, Siqing 4 Hasil, Petr 4 Hu, Weipeng 4 Huang, Chengming 4 Huang, Chuying 4 Kvaerno, Anne 4 Li, Meng 4 Li, Xianggui 4 Liang, Dong 4 Liu, Ying 4 Song, Yongzhong 4 Wang, Qi 4 Yang, Wei 4 Yang, Xitao 4 Yin, Xiuling 4 Zhang, Jimin 4 Zhang, Shengliang 3 Agarwal, Ravi P. 3 Andres, Jan 3 Bao, Weizhu 3 Barreira, Luis Manuel 3 Cai, Meng 3 Cao, Wanrong 3 Castillo, Paul E. 3 Chen, Fangqi 3 Chen, Fengde 3 Chen, Juan 3 Chen, Yaming 3 Di Giovacchino, Stefano 3 Duan, Yali 3 Fan, Meng 3 Fang, Zhiwei 3 Fu, Hao 3 Gómez, Sergio Alejandro 3 Hong, Qi 3 Hou, Baohui 3 Hu, Yaozhong 3 Huang, Zhenkun 3 Jentzen, Arnulf 3 Jiang, Shanshan 3 Jin, Diancong 3 Kloeden, Peter Eris 3 Li, Hong-Xu 3 Li, Xiuyan 3 Liao, Cuicui ...and 695 more Authors all top 5 Cited in 137 Serials 51 Journal of Computational Physics 42 Applied Mathematics and Computation 33 Applied Numerical Mathematics 29 Journal of Mathematical Analysis and Applications 28 Journal of Computational and Applied Mathematics 21 Computers & Mathematics with Applications 21 BIT 20 SIAM Journal on Numerical Analysis 17 Nonlinear Analysis. 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Matematică 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Russian Mathematics 1 Potential Analysis 1 Filomat 1 Journal of Inverse and Ill-Posed Problems 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Electronic Journal of Probability ...and 37 more Serials all top 5 Cited in 41 Fields 431 Numerical analysis (65-XX) 254 Partial differential equations (35-XX) 169 Probability theory and stochastic processes (60-XX) 129 Ordinary differential equations (34-XX) 98 Dynamical systems and ergodic theory (37-XX) 44 Difference and functional equations (39-XX) 41 Optics, electromagnetic theory (78-XX) 34 Quantum theory (81-XX) 23 Systems theory; control (93-XX) 20 Fluid mechanics (76-XX) 19 Operator theory (47-XX) 19 Mechanics of particles and systems (70-XX) 19 Biology and other natural sciences (92-XX) 17 Statistical mechanics, structure of matter (82-XX) 11 Abstract harmonic analysis (43-XX) 9 Real functions (26-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 Mechanics of deformable solids (74-XX) 6 Integral equations (45-XX) 5 Approximations and expansions (41-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year