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Hong, Jialin

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Author ID: hong.jialin Recent zbMATH articles by "Hong, Jialin"
Published as: Hong, Jialin; Hong, J.; Hong, Jia-Lin
Documents Indexed: 124 Publications since 1977, including 1 Book
Reviewing Activity: 105 Reviews
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Serials

10 Journal of Computational Physics
10 SIAM Journal on Numerical Analysis
6 Applied Mathematics Letters
6 Communications in Computational Physics
5 Journal of Differential Equations
5 Applied Numerical Mathematics
5 Annals of Differential Equations
4 Computers & Mathematics with Applications
4 Journal of Mathematical Analysis and Applications
4 BIT
4 Journal of Computational and Applied Mathematics
4 Mathematical and Computer Modelling
4 Discrete and Continuous Dynamical Systems. Series B
3 IMA Journal of Numerical Analysis
3 SIAM Journal on Scientific Computing
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 Stochastic Processes and their Applications
2 Neural, Parallel & Scientific Computations
2 Journal of Physics A: Mathematical and Theoretical
1 Applicable Analysis
1 Computer Physics Communications
1 International Journal of Multiphase Flow
1 Studia Mathematica
1 Mathematics of Computation
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 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 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Potential Analysis
1 Discrete and Continuous Dynamical Systems
1 Progress of Theoretical Physics
1 International Journal of Numerical Analysis and Modeling
1 Lecture Notes in Mathematics
1 Communications in Mathematical Research
1 Communication on Applied Mathematics and Computation
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Nonlinear Analysis. Theory, Methods & Applications
1 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 770 times in 428 Documents Cited by Year
The existence of almost periodic solutions for a class of differential equations with piecewise constant argument. Zbl 0869.34038
Yuan, Rong; Hong, Jialin
53
1997
Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations. Zbl 1120.65341
Hong, Jialin; Li, Chun
36
2006
Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. Zbl 1110.65116
Hong, Jialin; Liu, Ying; Munthe-Kaas, Hans; Zanna, Antonella
36
2006
Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations. Zbl 1164.65035
Hong, Jialin; Jiang, Shanshan; Li, Chun
31
2008
Splitting multisymplectic integrators for Maxwell’s equations. Zbl 1192.78045
Kong, Linghua; Hong, Jialin; Zhang, Jingjing
30
2010
Exponential dichotomy and trichotomy for difference equations. Zbl 0939.39003
Alonso, A. I.; Hong, Jialin; Obaya, R.
27
1999
Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences. Zbl 0978.34039
Alonso, A. I.; Hong, Jialin; Obaya, R.
22
2000
Almost-periodic-type solutions of some differential equations with piecewise constant argument. Zbl 0996.34062
Hong, Jialin; Obaya, Rafael; Sanz, Ana
21
2001
Almost periodic solutions of differential equations with piecewise constant argument. Zbl 0855.34089
Yuan, Rong; Hong, Jialin
19
1996
The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs. Zbl 1084.65127
Hong, Jialin; Liu, Hongyu; Sun, Geng
19
2006
Preservation of quadratic invariants of stochastic differential equations via Runge-Kutta methods. Zbl 1302.65027
Hong, Jialin; Xu, Dongsheng; Wang, Peng
16
2015
The almost periodic type difference equations. Zbl 0992.39003
Hong, Jialin; Núñez, C.
16
1998
A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise. Zbl 1349.65536
Hong, Jialin; Ji, Lihai; Zhang, Liying
16
2014
Discrete gradient approach to stochastic differential equations with a conserved quantity. Zbl 1258.65006
Hong, Jialin; Zhai, Shuxing; Zhang, Jingjing
14
2011
High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations. Zbl 1211.65115
Ma, Yuanping; Kong, Linghua; Hong, Jialin; Cao, Ying
14
2011
A novel numerical approach to simulating nonlinear Schrödinger equations with varying coefficients. Zbl 1046.65072
Hong, Jialin; Liu, Ying
14
2003
Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods. Zbl 1351.78061
Chen, Chuchu; Hong, Jialin; Zhang, Liying
14
2016
Midpoint rule for a linear stochastic oscillator with additive noise. Zbl 1105.65008
Hong, Jialin; Scherer, Rudolf; Wang, Lijin
12
2006
Numerical comparison of five difference schemes for coupled Klein-Gordon-Schrödinger equations in quantum physics. Zbl 1120.81005
Hong, Jialin; Jiang, Shanshan; Kong, Linghua; Li, Chun
12
2007
Stochastic multi-symplectic integrator for stochastic nonlinear Schrödinger equation. Zbl 1373.60125
Jiang, Shanshan; Wang, Lijin; Hong, Jialin
12
2013
Predictor-corrector methods for a linear stochastic oscillator with additive noise. Zbl 1140.65014
Hong, Jialin; Scherer, Rudolf; Wang, Lijin
12
2007
Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients. Zbl 1132.65112
Hong, Jialin; Liu, Xiao-Yan; Li, Chun
11
2007
A class of ergodic solutions of differential equations with piecewise constant arguments. Zbl 0927.34028
Alonso, Ana I.; Hong, Jialin; Rojo, Jesús
11
1998
Symplectic Runge-Kutta semidiscretization for stochastic Schrödinger equation. Zbl 1347.65010
Chen, Chuchu; Hong, Jialin
10
2016
Two energy-conserved splitting methods for three-dimensional time-domain Maxwell’s equations and the convergence analysis. Zbl 1327.65171
Cai, Jiaxiang; Hong, Jialin; Wang, Yushun; Gong, Yuezheng
9
2015
Approximating stochastic evolution equations with additive white and rough noises. Zbl 1373.60124
Cao, Yanzhao; Hong, Jialin; Liu, Zhihui
9
2017
Generating functions for stochastic symplectic methods. Zbl 1278.65006
Wang, Lijin; Hong, Jialin
9
2014
An energy-conserving method for stochastic Maxwell equations with multiplicative noise. Zbl 1380.65302
Hong, Jialin; Ji, Lihai; Zhang, Liying; Cai, Jiaxiang
9
2017
Exponential trichotomy and a class of ergodic solutions of differential equations with ergodic perturbations. Zbl 0935.34044
Hong, Jialin; Obaya, R.; Gil, A. S.
9
1999
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation. Zbl 07130817
Bréhier, Charles-Edouard; Cui, Jianbo; Hong, Jialin
9
2019
Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations. Zbl 1371.60122
Cui, Jianbo; Hong, Jialin; Liu, Zhihui
8
2017
Projection methods for stochastic differential equations with conserved quantities. Zbl 1354.60081
Zhou, Weien; Zhang, Liying; Hong, Jialin; Song, Songhe
8
2016
Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme. Zbl 1198.81019
Kong, Linghua; Hong, Jialin; Liu, Ruxun
7
2008
The existence of almost periodic solutions of a population equation with delay. Zbl 0879.34044
Yuan, Rong; Hong, Jialin
7
1996
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise. Zbl 1367.65015
Zhou, Weien; Zhang, Jingjing; Hong, Jialin; Song, Songhe
7
2017
Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion. Zbl 1380.65417
Cui, Jianbo; Hong, Jialin; Liu, Zhihui; Zhou, Weien
7
2017
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation. Zbl 1382.65316
Hong, Jialin; Ji, Lihai; Liu, Zhihui
7
2018
A survey of multi-symplectic Runge-Kutta type methods for Hamiltonian partial differential equations. Zbl 1097.65126
Hong, Jialin
7
2005
Symplectic integrator for nonlinear high order Schrödinger equation with a trapped term. Zbl 1171.65090
Kong, Linghua; Hong, Jialin; Wang, Lan; Fu, Fangfang
7
2009
Compact and efficient conservative schemes for coupled nonlinear Schrödinger equations. Zbl 1339.65125
Kong, Linghua; Hong, Jialin; Ji, Lihai; Zhu, Pengfei
7
2015
Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers. Zbl 1349.78092
Hong, Jialin; Ji, Lihai; Kong, Linghua
7
2014
Strong and weak convergence rates of a spatial approximation for stochastic partial differential equation with one-sided Lipschitz coefficient. Zbl 1420.60093
Cui, Jianbo; Hong, Jialin
7
2019
Convergence of a \(\theta \)-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise. Zbl 1362.65012
Chen, Chuchu; Hong, Jialin; Prohl, Andreas
6
2016
Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves. Zbl 1062.35115
Hong, Jialin; Liu, Ying
6
2004
Novel multi-symplectic integrators for nonlinear fourth-order Schrödinger equation with trapped term. Zbl 1364.65165
Hong, Jialin; Kong, Linghua
6
2010
Multi-symplectic algorithms for Hamiltonian partial differential equations. Zbl 1289.65278
Wang, Yushun; Hong, Jialin
6
2013
High order conformal symplectic and ergodic schemes for the stochastic Langevin equation via generating functions. Zbl 1386.60241
Hong, Jialin; Sun, Liying; Wang, Xu
6
2017
Almost periodic random sequences in probability. Zbl 1127.60029
Han, Yuliang; Hong, Jialin
6
2007
Explicit multi-symplectic methods for Hamiltonian wave equations. Zbl 1164.65523
Hong, Jialin; Jiang, Shanshan; Li, Chun; Liu, Hongyu
6
2007
Existence of a class of ergodic solutions implies exponential trichotomy. Zbl 0941.34041
Hong, Jialin; Obaya, R.; Sanz, A.
5
1999
Multisymplecticity of the centred box discretization for Hamiltonian PDEs with \(m\geq 2\) space dimensions. Zbl 1009.37051
Hong, Jialin; Qin, Meng-Zhao
5
2002
Numerical analysis on ergodic limit of approximations for stochastic NLS equation via multi-symplectic scheme. Zbl 1382.37088
Hong, Jialin; Wang, Xu; Zhang, Liying
5
2017
A compact scheme for coupled stochastic nonlinear Schrödinger equations. Zbl 1373.60108
Chen, Chuchu; Hong, Jialin; Ji, Lihai; Kong, Linghua
5
2017
Construction of symplectic Runge-Kutta methods for stochastic Hamiltonian systems. Zbl 1388.65183
Wang, Peng; Hong, Jialin; Xu, Dongsheng
5
2017
Optimal error estimate of a compact scheme for nonlinear Schrödinger equation. Zbl 1370.65072
Hong, Jialin; Ji, Lihai; Kong, Linghua; Wang, Tingchun
4
2017
Conservative methods for stochastic differential equations with a conserved quantity. Zbl 1344.60066
Chen, Chuchu; Cohen, David; Hong, Jialin
4
2016
Modified equations for weakly convergent stochastic symplectic schemes via their generating functions. Zbl 1355.65018
Wang, Lijin; Hong, Jialin; Sun, Liying
4
2016
Analysis of a splitting scheme for damped stochastic nonlinear Schrödinger equation with multiplicative noise. Zbl 1391.60165
Cui, Jianbo; Hong, Jialin
4
2018
Ergodic type solutions of some differential equations. Zbl 0995.34048
Hong, Jialin; Obaya, Rafael
4
2001
Approximation of invariant measure for damped stochastic nonlinear Schrödinger equation via an ergodic numerical scheme. Zbl 1402.60085
Chen, Chuchu; Hong, Jialin; Wang, Xu
4
2017
Exponential trichotomies and Fredholm operators. Zbl 0779.34037
Hong, Jialin
3
1993
Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance. Zbl 0990.65140
Hong, Jialin; Liu, Ying
3
2000
Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrödinger equation. Zbl 1433.65208
Chen, Chuchu; Hong, Jialin; Ji, Lihai
3
2017
The computation of Lyapunov exponents for periodic trajectories. Zbl 1094.34526
Hong, Jialin
3
2005
Near-invariant tori on exponentially long time for Poisson systems. Zbl 1115.37054
Cong, Fuzhong; Hong, Jialin; Han, Yuliang
3
2007
Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC. Zbl 1223.65097
Kong, Linghua; Hong, Jialin; Fu, Fangfang; Chen, Jing
3
2011
Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations. Zbl 1431.60066
Cui, Jianbo; Hong, Jialin; Liu, Zhihui; Zhou, Weien
3
2019
Runge-Kutta semidiscretizations for stochastic Maxwell equations with additive noise. Zbl 07051123
Chen, Chuchu; Hong, Jialin; Ji, Lihai
3
2019
Mean-square convergence of a semidiscrete scheme for stochastic Maxwell equations. Zbl 1422.60112
Chen, Chuchu; Hong, Jialin; Ji, Lihai
3
2019
Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion. Zbl 1451.60076
Hong, Jialin; Huang, Chuying; Kamrani, Minoo; Wang, Xu
3
2020
Existence of almost periodic solutions of neutral differential equations with piecewise constant argument. Zbl 0876.34079
Yuan, Rong; Hong, Jialin
2
1996
Ergodic solutions via ergodic sequences. Zbl 0957.34054
Hong, Jialin; Obaya, Rafael; Sanz, Ana M.
2
2000
Local energy- and momentum-preserving schemes for Klein-Gordon-Schrödinger equations and convergence analysis. Zbl 1377.65101
Cai, Jiaxiang; Hong, Jialin; Wang, Yushun
2
2017
Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion. Zbl 1406.65106
Cao, Yanzhao; Hong, Jialin; Liu, Zhihui
2
2018
LOD-MS for Gross-Pitaevskii equation in Bose-Einstein condensates. Zbl 1373.82080
Kong, Linghua; Hong, Jialin; Zhang, Jingjing
2
2013
Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations. Zbl 1158.65085
Hong, Jialin; Sun, Yajuan
2
2008
Spurious behavior of a symplectic integrator. Zbl 1129.65093
Hong, Jialin; Liu, Hongyu; Sun, Geng
2
2005
Optimization of explicit symplectic schemes for time-dependent Schrödinger equations. Zbl 1089.35053
Liu, Xiaoyan; Ding, Peizhu; Hong, Jialin; Wang, Lijin
2
2005
Invariant measures for stochastic nonlinear Schrödinger equations. Numerical approximations and symplectic structures. Zbl 1429.37001
Hong, Jialin; Wang, Xu
2
2019
Exponential trichotomy and uniformly characteristic exponents of differential systems. Zbl 0754.34047
Hong, Jialin
1
1991
Almost-periodic solutions to linear differential equations with piecewise constant argument. Zbl 0906.34047
Yuan, Rong; Hong, Jialin
1
1998
Absolutely continuous dynamics and real coboundary cocycles in \(L^p\)-spaces, \(0< p< \infty\). Zbl 0951.28010
Alonso, Ana I.; Hong, Jialin; Obaya, Rafael
1
2000
Dynamic evaluation of free-form curves and surfaces. Zbl 1365.65037
Yang, Xunnian; Hong, Jialin
1
2017
Mean-square convergence of numerical approximations for a class of backward stochastic differential equations. Zbl 1276.60072
Chen, Chuchu; Hong, Jialin
1
2013
Well-posedness and optimal regularity of stochastic evolution equations with multiplicative noises. Zbl 1418.60098
Hong, Jialin; Liu, Zhihui
1
2019
Existence of \(\psi\)-bounded solutions for linear difference equations. Zbl 1120.39006
Han, Yuliang; Hong, Jialin
1
2007
Ergodic type solutions of differential equations with piecewise constant arguments. Zbl 1005.34066
Alonso, Ana Isabel; Hong, Jialin
1
2001
Symplectic integrations of linear discontinuous Hamiltonian systems and an application to the numerical simulation of bounded solutions. Zbl 0986.65124
Hong, Jialin; Liu, Ying
1
2000
Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary. Zbl 1338.35416
Hong, Jialin; Ji, Lihai
1
2016
Numerical method for computing almost-periodic solutions to a Lotka-Volterra system. Zbl 0965.34034
Liu, Ying; Hong, Jialin
1
2000
Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations. Zbl 1167.65070
Hong, Jialin; Jiang, Shanshan; Li, Chun
1
2009
Exponential integrators for stochastic Maxwell’s equations driven by Itô noise. Zbl 1436.60061
Cohen, David; Cui, Jianbo; Hong, Jialin; Sun, Liying
1
2020
Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion. Zbl 1451.60076
Hong, Jialin; Huang, Chuying; Kamrani, Minoo; Wang, Xu
3
2020
Exponential integrators for stochastic Maxwell’s equations driven by Itô noise. Zbl 1436.60061
Cohen, David; Cui, Jianbo; Hong, Jialin; Sun, Liying
1
2020
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation. Zbl 07130817
Bréhier, Charles-Edouard; Cui, Jianbo; Hong, Jialin
9
2019
Strong and weak convergence rates of a spatial approximation for stochastic partial differential equation with one-sided Lipschitz coefficient. Zbl 1420.60093
Cui, Jianbo; Hong, Jialin
7
2019
Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations. Zbl 1431.60066
Cui, Jianbo; Hong, Jialin; Liu, Zhihui; Zhou, Weien
3
2019
Runge-Kutta semidiscretizations for stochastic Maxwell equations with additive noise. Zbl 07051123
Chen, Chuchu; Hong, Jialin; Ji, Lihai
3
2019
Mean-square convergence of a semidiscrete scheme for stochastic Maxwell equations. Zbl 1422.60112
Chen, Chuchu; Hong, Jialin; Ji, Lihai
3
2019
Invariant measures for stochastic nonlinear Schrödinger equations. Numerical approximations and symplectic structures. Zbl 1429.37001
Hong, Jialin; Wang, Xu
2
2019
Well-posedness and optimal regularity of stochastic evolution equations with multiplicative noises. Zbl 1418.60098
Hong, Jialin; Liu, Zhihui
1
2019
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation. Zbl 1382.65316
Hong, Jialin; Ji, Lihai; Liu, Zhihui
7
2018
Analysis of a splitting scheme for damped stochastic nonlinear Schrödinger equation with multiplicative noise. Zbl 1391.60165
Cui, Jianbo; Hong, Jialin
4
2018
Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion. Zbl 1406.65106
Cao, Yanzhao; Hong, Jialin; Liu, Zhihui
2
2018
Approximating stochastic evolution equations with additive white and rough noises. Zbl 1373.60124
Cao, Yanzhao; Hong, Jialin; Liu, Zhihui
9
2017
An energy-conserving method for stochastic Maxwell equations with multiplicative noise. Zbl 1380.65302
Hong, Jialin; Ji, Lihai; Zhang, Liying; Cai, Jiaxiang
9
2017
Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations. Zbl 1371.60122
Cui, Jianbo; Hong, Jialin; Liu, Zhihui
8
2017
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise. Zbl 1367.65015
Zhou, Weien; Zhang, Jingjing; Hong, Jialin; Song, Songhe
7
2017
Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion. Zbl 1380.65417
Cui, Jianbo; Hong, Jialin; Liu, Zhihui; Zhou, Weien
7
2017
High order conformal symplectic and ergodic schemes for the stochastic Langevin equation via generating functions. Zbl 1386.60241
Hong, Jialin; Sun, Liying; Wang, Xu
6
2017
Numerical analysis on ergodic limit of approximations for stochastic NLS equation via multi-symplectic scheme. Zbl 1382.37088
Hong, Jialin; Wang, Xu; Zhang, Liying
5
2017
A compact scheme for coupled stochastic nonlinear Schrödinger equations. Zbl 1373.60108
Chen, Chuchu; Hong, Jialin; Ji, Lihai; Kong, Linghua
5
2017
Construction of symplectic Runge-Kutta methods for stochastic Hamiltonian systems. Zbl 1388.65183
Wang, Peng; Hong, Jialin; Xu, Dongsheng
5
2017
Optimal error estimate of a compact scheme for nonlinear Schrödinger equation. Zbl 1370.65072
Hong, Jialin; Ji, Lihai; Kong, Linghua; Wang, Tingchun
4
2017
Approximation of invariant measure for damped stochastic nonlinear Schrödinger equation via an ergodic numerical scheme. Zbl 1402.60085
Chen, Chuchu; Hong, Jialin; Wang, Xu
4
2017
Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrödinger equation. Zbl 1433.65208
Chen, Chuchu; Hong, Jialin; Ji, Lihai
3
2017
Local energy- and momentum-preserving schemes for Klein-Gordon-Schrödinger equations and convergence analysis. Zbl 1377.65101
Cai, Jiaxiang; Hong, Jialin; Wang, Yushun
2
2017
Dynamic evaluation of free-form curves and surfaces. Zbl 1365.65037
Yang, Xunnian; Hong, Jialin
1
2017
Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods. Zbl 1351.78061
Chen, Chuchu; Hong, Jialin; Zhang, Liying
14
2016
Symplectic Runge-Kutta semidiscretization for stochastic Schrödinger equation. Zbl 1347.65010
Chen, Chuchu; Hong, Jialin
10
2016
Projection methods for stochastic differential equations with conserved quantities. Zbl 1354.60081
Zhou, Weien; Zhang, Liying; Hong, Jialin; Song, Songhe
8
2016
Convergence of a \(\theta \)-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise. Zbl 1362.65012
Chen, Chuchu; Hong, Jialin; Prohl, Andreas
6
2016
Conservative methods for stochastic differential equations with a conserved quantity. Zbl 1344.60066
Chen, Chuchu; Cohen, David; Hong, Jialin
4
2016
Modified equations for weakly convergent stochastic symplectic schemes via their generating functions. Zbl 1355.65018
Wang, Lijin; Hong, Jialin; Sun, Liying
4
2016
Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary. Zbl 1338.35416
Hong, Jialin; Ji, Lihai
1
2016
Preservation of quadratic invariants of stochastic differential equations via Runge-Kutta methods. Zbl 1302.65027
Hong, Jialin; Xu, Dongsheng; Wang, Peng
16
2015
Two energy-conserved splitting methods for three-dimensional time-domain Maxwell’s equations and the convergence analysis. Zbl 1327.65171
Cai, Jiaxiang; Hong, Jialin; Wang, Yushun; Gong, Yuezheng
9
2015
Compact and efficient conservative schemes for coupled nonlinear Schrödinger equations. Zbl 1339.65125
Kong, Linghua; Hong, Jialin; Ji, Lihai; Zhu, Pengfei
7
2015
A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise. Zbl 1349.65536
Hong, Jialin; Ji, Lihai; Zhang, Liying
16
2014
Generating functions for stochastic symplectic methods. Zbl 1278.65006
Wang, Lijin; Hong, Jialin
9
2014
Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers. Zbl 1349.78092
Hong, Jialin; Ji, Lihai; Kong, Linghua
7
2014
Stochastic multi-symplectic integrator for stochastic nonlinear Schrödinger equation. Zbl 1373.60125
Jiang, Shanshan; Wang, Lijin; Hong, Jialin
12
2013
Multi-symplectic algorithms for Hamiltonian partial differential equations. Zbl 1289.65278
Wang, Yushun; Hong, Jialin
6
2013
LOD-MS for Gross-Pitaevskii equation in Bose-Einstein condensates. Zbl 1373.82080
Kong, Linghua; Hong, Jialin; Zhang, Jingjing
2
2013
Mean-square convergence of numerical approximations for a class of backward stochastic differential equations. Zbl 1276.60072
Chen, Chuchu; Hong, Jialin
1
2013
Discrete gradient approach to stochastic differential equations with a conserved quantity. Zbl 1258.65006
Hong, Jialin; Zhai, Shuxing; Zhang, Jingjing
14
2011
High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations. Zbl 1211.65115
Ma, Yuanping; Kong, Linghua; Hong, Jialin; Cao, Ying
14
2011
Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC. Zbl 1223.65097
Kong, Linghua; Hong, Jialin; Fu, Fangfang; Chen, Jing
3
2011
Splitting multisymplectic integrators for Maxwell’s equations. Zbl 1192.78045
Kong, Linghua; Hong, Jialin; Zhang, Jingjing
30
2010
Novel multi-symplectic integrators for nonlinear fourth-order Schrödinger equation with trapped term. Zbl 1364.65165
Hong, Jialin; Kong, Linghua
6
2010
Symplectic integrator for nonlinear high order Schrödinger equation with a trapped term. Zbl 1171.65090
Kong, Linghua; Hong, Jialin; Wang, Lan; Fu, Fangfang
7
2009
Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations. Zbl 1167.65070
Hong, Jialin; Jiang, Shanshan; Li, Chun
1
2009
Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations. Zbl 1164.65035
Hong, Jialin; Jiang, Shanshan; Li, Chun
31
2008
Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme. Zbl 1198.81019
Kong, Linghua; Hong, Jialin; Liu, Ruxun
7
2008
Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations. Zbl 1158.65085
Hong, Jialin; Sun, Yajuan
2
2008
Numerical comparison of five difference schemes for coupled Klein-Gordon-Schrödinger equations in quantum physics. Zbl 1120.81005
Hong, Jialin; Jiang, Shanshan; Kong, Linghua; Li, Chun
12
2007
Predictor-corrector methods for a linear stochastic oscillator with additive noise. Zbl 1140.65014
Hong, Jialin; Scherer, Rudolf; Wang, Lijin
12
2007
Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients. Zbl 1132.65112
Hong, Jialin; Liu, Xiao-Yan; Li, Chun
11
2007
Almost periodic random sequences in probability. Zbl 1127.60029
Han, Yuliang; Hong, Jialin
6
2007
Explicit multi-symplectic methods for Hamiltonian wave equations. Zbl 1164.65523
Hong, Jialin; Jiang, Shanshan; Li, Chun; Liu, Hongyu
6
2007
Near-invariant tori on exponentially long time for Poisson systems. Zbl 1115.37054
Cong, Fuzhong; Hong, Jialin; Han, Yuliang
3
2007
Existence of \(\psi\)-bounded solutions for linear difference equations. Zbl 1120.39006
Han, Yuliang; Hong, Jialin
1
2007
Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations. Zbl 1120.65341
Hong, Jialin; Li, Chun
36
2006
Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. Zbl 1110.65116
Hong, Jialin; Liu, Ying; Munthe-Kaas, Hans; Zanna, Antonella
36
2006
The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs. Zbl 1084.65127
Hong, Jialin; Liu, Hongyu; Sun, Geng
19
2006
Midpoint rule for a linear stochastic oscillator with additive noise. Zbl 1105.65008
Hong, Jialin; Scherer, Rudolf; Wang, Lijin
12
2006
A survey of multi-symplectic Runge-Kutta type methods for Hamiltonian partial differential equations. Zbl 1097.65126
Hong, Jialin
7
2005
The computation of Lyapunov exponents for periodic trajectories. Zbl 1094.34526
Hong, Jialin
3
2005
Spurious behavior of a symplectic integrator. Zbl 1129.65093
Hong, Jialin; Liu, Hongyu; Sun, Geng
2
2005
Optimization of explicit symplectic schemes for time-dependent Schrödinger equations. Zbl 1089.35053
Liu, Xiaoyan; Ding, Peizhu; Hong, Jialin; Wang, Lijin
2
2005
Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves. Zbl 1062.35115
Hong, Jialin; Liu, Ying
6
2004
A novel numerical approach to simulating nonlinear Schrödinger equations with varying coefficients. Zbl 1046.65072
Hong, Jialin; Liu, Ying
14
2003
Multisymplecticity of the centred box discretization for Hamiltonian PDEs with \(m\geq 2\) space dimensions. Zbl 1009.37051
Hong, Jialin; Qin, Meng-Zhao
5
2002
Almost-periodic-type solutions of some differential equations with piecewise constant argument. Zbl 0996.34062
Hong, Jialin; Obaya, Rafael; Sanz, Ana
21
2001
Ergodic type solutions of some differential equations. Zbl 0995.34048
Hong, Jialin; Obaya, Rafael
4
2001
Ergodic type solutions of differential equations with piecewise constant arguments. Zbl 1005.34066
Alonso, Ana Isabel; Hong, Jialin
1
2001
Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences. Zbl 0978.34039
Alonso, A. I.; Hong, Jialin; Obaya, R.
22
2000
Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance. Zbl 0990.65140
Hong, Jialin; Liu, Ying
3
2000
Ergodic solutions via ergodic sequences. Zbl 0957.34054
Hong, Jialin; Obaya, Rafael; Sanz, Ana M.
2
2000
Absolutely continuous dynamics and real coboundary cocycles in \(L^p\)-spaces, \(0< p< \infty\). Zbl 0951.28010
Alonso, Ana I.; Hong, Jialin; Obaya, Rafael
1
2000
Symplectic integrations of linear discontinuous Hamiltonian systems and an application to the numerical simulation of bounded solutions. Zbl 0986.65124
Hong, Jialin; Liu, Ying
1
2000
Numerical method for computing almost-periodic solutions to a Lotka-Volterra system. Zbl 0965.34034
Liu, Ying; Hong, Jialin
1
2000
Exponential dichotomy and trichotomy for difference equations. Zbl 0939.39003
Alonso, A. I.; Hong, Jialin; Obaya, R.
27
1999
Exponential trichotomy and a class of ergodic solutions of differential equations with ergodic perturbations. Zbl 0935.34044
Hong, Jialin; Obaya, R.; Gil, A. S.
9
1999
Existence of a class of ergodic solutions implies exponential trichotomy. Zbl 0941.34041
Hong, Jialin; Obaya, R.; Sanz, A.
5
1999
The almost periodic type difference equations. Zbl 0992.39003
Hong, Jialin; Núñez, C.
16
1998
A class of ergodic solutions of differential equations with piecewise constant arguments. Zbl 0927.34028
Alonso, Ana I.; Hong, Jialin; Rojo, Jesús
11
1998
Almost-periodic solutions to linear differential equations with piecewise constant argument. Zbl 0906.34047
Yuan, Rong; Hong, Jialin
1
1998
The existence of almost periodic solutions for a class of differential equations with piecewise constant argument. Zbl 0869.34038
Yuan, Rong; Hong, Jialin
53
1997
Almost periodic solutions of differential equations with piecewise constant argument. Zbl 0855.34089
Yuan, Rong; Hong, Jialin
19
1996
The existence of almost periodic solutions of a population equation with delay. Zbl 0879.34044
Yuan, Rong; Hong, Jialin
7
1996
Existence of almost periodic solutions of neutral differential equations with piecewise constant argument. Zbl 0876.34079
Yuan, Rong; Hong, Jialin
2
1996
Exponential trichotomies and Fredholm operators. Zbl 0779.34037
Hong, Jialin
3
1993
Exponential trichotomy and uniformly characteristic exponents of differential systems. Zbl 0754.34047
Hong, Jialin
1
1991
all top 5

Cited by 530 Authors

54 Hong, Jialin
24 Wang, Yushun
19 Yuan, Rong
17 Cai, Jiaxiang
15 Kong, Linghua
10 Cui, Jianbo
9 Chen, Chuchu
9 Ding, Xiaohua
9 Ji, Lihai
9 Li, Haochen
9 Song, Songhe
8 Akhmet, Marat Ubaydulla
8 Wang, Tingchun
8 Zhang, Jingjing
8 Zhang, Liying
7 Cai, Wenjun
7 Liu, Zhihui
7 Pinto, Manuel
6 Gong, Yuezheng
6 Sun, Liying
6 Sun, Yajuan
6 Wang, Xiaojie
5 Deng, Zichen
5 Ezzinbi, Khalil
5 Obaya, Rafael
5 Sasu, Adina Luminiţa
5 Sasu, Bogdan
5 Sun, Jianqiang
5 Xia, Yonghui
5 Xiao, Aiguo
5 Zhang, Chuanyi
4 Bézandry, Paul Hubert
4 Cai, Yongyong
4 Hu, Weipeng
4 Jiang, Chaolong
4 Li, Chun
4 Liu, Ying
4 Ma, Qiang
4 Qin, Mengzhao
4 Vesely, Michal
4 Wang, Lijin
4 Wang, Xu
4 Yang, Xitao
4 Yin, Xiuling
4 Zhang, Jimin
4 Zhang, Luming
4 Zhou, Weien
3 Agarwal, Ravi P.
3 Andres, Jan
3 Bao, Weizhu
3 Barreira, Luis Manuel
3 Castillo, Paul E.
3 Chen, Fangqi
3 Chen, Fengde
3 Chen, Juan
3 Chen, Yaming
3 Debrabant, Kristian
3 Dehghan Takht Fooladi, Mehdi
3 Duan, Yali
3 Fan, Meng
3 Gan, Siqing
3 Gómez, Sergio Alejandro
3 Hasil, Petr
3 Huang, Chengming
3 Huang, Zhenkun
3 Jiang, Shanshan
3 Kvaerno, Anne
3 Li, Hong-Xu
3 Li, Jichun
3 Li, Xianggui
3 Liao, Cuicui
3 Ma, Zhongqi
3 Maniar, Lahcen
3 McLachlan, Robert I.
3 Megan, Mihail
3 Pennequin, Denis
3 Popescu, Liviu Horia
3 Qian, Xu
3 Sanz, Ana M.
3 Song, Yongzhong
3 Valls Anglés, Cláudia
3 Wang, Jialing
3 Wang, Jian
3 Wang, Lan
3 Wang, Pengde
3 Wang, Qi
3 Xia, Zhinan
3 Yang, Bin
3 Zhang, Lili
3 Zhu, Huajun
2 Ait Dads, El Hadi
2 Alonso, Ana Isabel
2 Anmarkrud, Sverre
2 Barletti, Luigi
2 Baroun, Mahmoud
2 Blot, Joël
2 Brugnano, Luigi
2 Büyükadalı, C.
2 Cao, Yanzhao
2 Cao, Ying
...and 430 more Authors
all top 5

Cited in 103 Serials

38 Applied Mathematics and Computation
36 Journal of Computational Physics
28 Journal of Mathematical Analysis and Applications
24 Applied Numerical Mathematics
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Journal of Computational and Applied Mathematics
15 SIAM Journal on Numerical Analysis
14 BIT
12 Computers & Mathematics with Applications
10 Applied Mathematics Letters
8 Journal of Scientific Computing
8 Advances in Difference Equations
7 Journal of Differential Equations
7 Science in China. Series A
7 Numerical Algorithms
7 Journal of Difference Equations and Applications
7 Discrete Dynamics in Nature and Society
6 Journal of Mathematical Physics
6 Numerische Mathematik
6 Mathematical and Computer Modelling
6 Communications in Nonlinear Science and Numerical Simulation
5 Computer Physics Communications
5 International Journal of Computer Mathematics
5 Advances in Computational Mathematics
4 Applied Mathematics and Mechanics. (English Edition)
4 Acta Mathematicae Applicatae Sinica. English Series
4 Applied Mathematical Modelling
4 Abstract and Applied Analysis
4 Acta Mathematica Sinica. English Series
4 Science China. Mathematics
3 Chaos, Solitons and Fractals
3 Computational and Applied Mathematics
3 Nonautonomous Dynamical Systems
2 Applicable Analysis
2 Bulletin of the Australian Mathematical Society
2 Mathematical Methods in the Applied Sciences
2 Periodica Mathematica Hungarica
2 International Journal of Mathematics and Mathematical Sciences
2 Mathematics and Computers in Simulation
2 Acta Applicandae Mathematicae
2 Numerical Methods for Partial Differential Equations
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Stochastic Processes and their Applications
2 SIAM Journal on Scientific Computing
2 Topological Methods in Nonlinear Analysis
2 Discrete and Continuous Dynamical Systems
2 Differential Equations and Dynamical Systems
2 Nonlinear Dynamics
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Applied Mathematics
2 Journal of Function Spaces and Applications
2 African Diaspora Journal of Mathematics
2 Frontiers of Mathematics in China
2 Nonlinear Analysis. Hybrid Systems
2 International Journal of Biomathematics
2 SIAM/ASA Journal on Uncertainty Quantification
1 Computer Methods in Applied Mechanics and Engineering
1 Rocky Mountain Journal of Mathematics
1 Calcolo
1 Glasgow Mathematical Journal
1 Proceedings of the American Mathematical Society
1 Semigroup Forum
1 Bulletin of the Korean Mathematical Society
1 Sugaku Expositions
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 Russian Mathematics
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Taiwanese Journal of Mathematics
1 International Journal of Theoretical and Applied Finance
1 Regular and Chaotic Dynamics
1 Qualitative Theory of Dynamical Systems
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 The ANZIAM Journal
1 Nonlinear Analysis. Real World Applications
1 Nonlinear Analysis. Modelling and Control
1 Journal of Evolution Equations
1 Dynamical Systems
1 Foundations of Computational Mathematics
1 Stochastics and Dynamics
1 Communications on Pure and Applied Analysis
1 Journal of Applied Mathematics and Computing
1 Multiscale Modeling & Simulation
1 Mediterranean Journal of Mathematics
1 Cubo
1 Boundary Value Problems
1 Journal of Fixed Point Theory and Applications
1 Banach Journal of Mathematical Analysis
1 Kinetic and Related Models
1 Journal of Nonlinear Science and Applications
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 Journal of Applied Analysis and Computation
1 Axioms
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Journal of Mathematics
1 Journal of Operators
1 Open Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
...and 3 more Serials
all top 5

Cited in 37 Fields

248 Numerical analysis (65-XX)
157 Partial differential equations (35-XX)
119 Ordinary differential equations (34-XX)
86 Dynamical systems and ergodic theory (37-XX)
83 Probability theory and stochastic processes (60-XX)
43 Difference and functional equations (39-XX)
25 Optics, electromagnetic theory (78-XX)
23 Quantum theory (81-XX)
17 Biology and other natural sciences (92-XX)
15 Operator theory (47-XX)
14 Systems theory; control (93-XX)
13 Mechanics of particles and systems (70-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Abstract harmonic analysis (43-XX)
10 Fluid mechanics (76-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
6 Real functions (26-XX)
5 Integral equations (45-XX)
2 Topological groups, Lie groups (22-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Differential geometry (53-XX)
2 Mechanics of deformable solids (74-XX)
1 Field theory and polynomials (12-XX)
1 Linear and multilinear algebra; matrix theory (15-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 Sequences, series, summability (40-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Computer science (68-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year