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Jialin Hong
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2020 – today
- 2025
- [j48]Rong Gao, Jialin Hong, Linghua Kong
, Qi Wu:
LRBF-Based energy-conserving time splitting schemes for the 2D Maxwell equations. Commun. Nonlinear Sci. Numer. Simul. 147: 108813 (2025) - [j47]Chuchu Chen, Tonghe Dang, Jialin Hong, Fengshan Zhang:
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation. SIAM J. Numer. Anal. 63(2): 1000-1024 (2025) - 2024
- [j46]Jialin Hong, Baohui Hou, Liying Sun, Xiaojing Zhang:
Novel structure-preserving schemes for stochastic Klein-Gordon-Schrödinger equations with additive noise. J. Comput. Phys. 500: 112740 (2024) - [i45]Meng Cai, Chuchu Chen, Jialin Hong, Tau Zhou:
Long-time dynamics of stochastic wave equation with dissipative damping and its full discretization: exponential ergodicity and strong law of large numbers. CoRR abs/2402.01137 (2024) - [i44]Chuchu Chen, Jialin Hong, Ge Liang:
Long-time weak convergence analysis of a semi-discrete scheme for stochastic Maxwell equations. CoRR abs/2403.09293 (2024) - [i43]Chuchu Chen, Tonghe Dang, Jialin Hong, Guoting Song:
Longtime behaviors of θ-Euler-Maruyama method for stochastic functional differential equations. CoRR abs/2404.08891 (2024) - [i42]Chuchu Chen, Xinyu Chen, Tonghe Dang, Jialin Hong:
Superiority of stochastic symplectic methods via the law of iterated logarithm. CoRR abs/2404.14842 (2024) - [i41]Jialin Hong, Baohui Hou, Liying Sun:
Novel semi-explicit symplectic schemes for nonseparable stochastic Hamiltonian systems. CoRR abs/2405.14484 (2024) - [i40]Jialin Hong, Diancong Jin, Xu Wang, Guanlin Yang:
Asymptotic error distribution of accelerated exponential Euler method for parabolic SPDEs. CoRR abs/2409.13827 (2024) - [i39]Chuchu Chen, Tonghe Dang, Jialin Hong:
On structure preservation for fully discrete finite difference schemes of stochastic heat equation with Lévy space-time white noise. CoRR abs/2409.14064 (2024) - [i38]Chuchu Chen, Tonghe Dang, Jialin Hong, Fengshan Zhang:
A new class of splitting methods that preserve ergodicity and exponential integrability for stochastic Langevin equation. CoRR abs/2410.20938 (2024) - [i37]Chuchu Chen, Tonghe Dang, Jialin Hong, Ziyi Lei:
Lp-strong convergence orders of fully discrete schemes for the SPDE driven by Lévy noise. CoRR abs/2412.05539 (2024) - 2023
- [j45]Jialin Hong, Diancong Jin, Derui Sheng:
Density convergence of a fully discrete finite difference method for stochastic Cahn-Hilliard equation. Math. Comput. 93(349): 2215-2264 (2023) - [i36]Jialin Hong, Ge Liang, Derui Sheng:
Exponential superiority in probability of stochastic symplectic methods for linear stochastic oscillator. CoRR abs/2304.01602 (2023) - [i35]Jialin Hong, Baohui Hou, Liying Sun, Xiaojing Zhang:
Novel structure-preserving schemes for stochastic Klein-Gordon-Schrödinger equations with additive noise. CoRR abs/2305.05117 (2023) - [i34]Xinjie Dai
, Jialin Hong, Derui Sheng:
Error analysis of numerical methods on graded meshes for stochastic Volterra equations. CoRR abs/2308.16696 (2023) - [i33]Chuchu Chen, Tonghe Dang, Jialin Hong, Guoting Song:
Probabilistic limit behaviors of numerical discretizations for time-homogeneous Markov processes. CoRR abs/2310.08227 (2023) - 2022
- [j44]Chuchu Chen, Jialin Hong, Derui Sheng:
Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems. J. Complex. 70: 101634 (2022) - [j43]Jialin Hong, Baohui Hou, Liying Sun:
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise. J. Comput. Phys. 451: 110829 (2022) - [j42]Jialin Hong, Baohui Hou, Qiang Li, Liying Sun:
Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations. J. Comput. Phys. 467: 111453 (2022) - [j41]Jianbo Cui
, Jialin Hong, Derui Sheng:
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation. Math. Comput. 91(337): 2283-2333 (2022) - [i32]Xinjie Dai, Jialin Hong, Derui Sheng, Tau Zhou:
Strong error analysis of Euler methods for overdamped generalized Langevin equations with fractional noise: Nonlinear case. CoRR abs/2201.07592 (2022) - [i31]Jialin Hong, Baohui Hou, Qiang Li, Liying Sun:
Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations. CoRR abs/2201.08191 (2022) - [i30]Jialin Hong, Diancong Jin, Derui Sheng:
Convergence analysis of a finite difference method for stochastic Cahn-Hilliard equation. CoRR abs/2202.09055 (2022) - [i29]Chuchu Chen, Tonghe Dang, Jialin Hong, Tau Zhou:
Central limit theorem for full discretization of parabolic SPDE. CoRR abs/2202.09079 (2022) - [i28]Jialin Hong, Diancong Jin, Derui Sheng:
Finite difference method for stochastic Cahn-Hilliard equation: Strong convergence rate and density convergence. CoRR abs/2203.00571 (2022) - [i27]Xinjie Dai
, Jialin Hong, Derui Sheng:
Well-posedness and Mittag-Leffler Euler integrator for space-time fractional SPDEs with fractionally integrated additive noise. CoRR abs/2206.00320 (2022) - [i26]Jianbo Cui
, Jialin Hong, Liying Sun:
Semi-implicit energy-preserving numerical schemes for stochastic wave equation via SAV approach. CoRR abs/2208.13394 (2022) - [i25]Diancong Jin, Jialin Hong, Derui Sheng:
Convergence analysis of one-point large deviations rate functions of numerical discretizations for stochastic wave equations with small noise. CoRR abs/2209.08341 (2022) - [i24]Chuchu Chen, Jialin Hong, Lihai Ji, Ge Liang:
Ergodic numerical approximations for stochastic Maxwell equations. CoRR abs/2210.06092 (2022) - [i23]Chuchu Chen, Tonghe Dang, Jialin Hong:
An adaptive time-stepping fully discrete scheme for stochastic NLS equation: Strong convergence and numerical asymptotics. CoRR abs/2212.01988 (2022) - 2021
- [j40]Chuchu Chen, Jialin Hong, Diancong Jin, Liying Sun
:
Asymptotically-Preserving Large Deviations Principles by Stochastic Symplectic Methods for a Linear Stochastic Oscillator. SIAM J. Numer. Anal. 59(1): 32-59 (2021) - [j39]Jianbo Cui
, Jialin Hong, Liying Sun
:
Strong Convergence of Full Discretization for Stochastic Cahn-Hilliard Equation Driven by Additive Noise. SIAM J. Numer. Anal. 59(6): 2866-2899 (2021) - [i22]Jialin Hong, Derui Sheng, Tau Zhou:
A splitting semi-implicit method for stochastic incompressible Euler equations on T2. CoRR abs/2102.01482 (2021) - [i21]Jialin Hong, Diancong Jin, Derui Sheng:
Numerical approximations of one-point large deviations rate functions of stochastic differential equations with small noise. CoRR abs/2102.04061 (2021) - [i20]Chuchu Chen, Jialin Hong, Lihai Ji:
A new efficient operator splitting method for stochastic Maxwell equations. CoRR abs/2102.10547 (2021) - [i19]Chuchu Chen, Tonghe Dang, Jialin Hong:
Weak intermittency and second moment bound of a fully discrete scheme for stochastic heat equation. CoRR abs/2103.02373 (2021) - [i18]Chuchu Chen, Jialin Hong, Derui Sheng:
Influences of Numerical Discretizations on Hitting Probabilities for Linear Stochastic Parabolic System. CoRR abs/2104.05466 (2021) - [i17]Jialin Hong, Baohui Hou, Liying Sun:
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise. CoRR abs/2105.14720 (2021) - [i16]Chuchu Chen, Ziheng Chen, Jialin Hong, Diancong Jin:
Large deviations principles of sample paths and invariant measures of numerical methods for parabolic SPDEs. CoRR abs/2106.11018 (2021) - [i15]Chuchu Chen, Tonghe Dang, Jialin Hong:
An adaptive time-stepping full discretization for stochastic Allen-Cahn equation. CoRR abs/2108.01909 (2021) - [i14]Jianbo Cui, Jialin Hong, Liying Sun:
Structure-preserving splitting methods for stochastic logarithmic Schrödinger equation via regularized energy approximation. CoRR abs/2111.04402 (2021) - 2020
- [j38]David Cohen
, Jianbo Cui
, Jialin Hong, Liying Sun
:
Exponential integrators for stochastic Maxwell's equations driven by Itô noise. J. Comput. Phys. 410: 109382 (2020) - [j37]Chuchu Chen
, Jialin Hong, Chol Sim
, Kwang Sonwu:
Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations. J. Comput. Phys. 418: 109599 (2020) - [i13]Chuchu Chen, Jialin Hong, Diancong Jin, Liying Sun:
Large deviations principles for symplectic discretizations of stochastic linear Schrödinger Equation. CoRR abs/2006.01357 (2020) - [i12]Jialin Hong, Jialin Ruan, Liying Sun, Lijin Wang:
Structure-preserving numerical methods for stochastic Poisson systems. CoRR abs/2006.03880 (2020) - [i11]Jialin Hong, Chuying Huang:
Super-convergence analysis on exponential integrator for stochastic heat equation driven by additive fractional Brownian motion. CoRR abs/2007.02223 (2020) - [i10]Chuchu Chen, Jianbo Cui, Jialin Hong, Derui Sheng:
Convergence of Density Approximations for Stochastic Heat Equation. CoRR abs/2007.12960 (2020) - [i9]Jialin Hong, Diancong Jin, Derui Sheng, Liying Sun:
Numerically asymptotical preservation of the large deviations principles for invariant measures of Langevin equations. CoRR abs/2009.13336 (2020)
2010 – 2019
- 2019
- [j36]Chuchu Chen, Jialin Hong, Lihai Ji:
Runge-Kutta Semidiscretizations for Stochastic Maxwell Equations with Additive Noise. SIAM J. Numer. Anal. 57(2): 702-727 (2019) - [j35]Chuchu Chen, Jialin Hong, Lihai Ji:
Mean-Square Convergence of a Semidiscrete Scheme for Stochastic Maxwell Equations. SIAM J. Numer. Anal. 57(2): 728-750 (2019) - [j34]Jianbo Cui
, Jialin Hong:
Strong and Weak Convergence Rates of a Spatial Approximation for Stochastic Partial Differential Equation with One-sided Lipschitz Coefficient. SIAM J. Numer. Anal. 57(4): 1815-1841 (2019) - [j33]Xunnian Yang
, Jialin Hong:
Dynamic Evaluation of Exponential Polynomial Curves and Surfaces via Basis Transformation. SIAM J. Sci. Comput. 41(5): A3401-A3420 (2019) - [j32]Jialin Hong, Xu Wang, Liying Zhang:
Parareal Exponential θ-Scheme for Longtime Simulation of Stochastic Schrödinger Equations with Weak Damping. SIAM J. Sci. Comput. 41(6): B1155-B1177 (2019) - [i8]Xunnian Yang, Jialin Hong:
Dynamic evaluation of exponential polynomial curves and surfaces via basis transformation. CoRR abs/1904.10205 (2019) - [i7]Jianbo Cui, Jialin Hong, Derui Sheng:
Convergence in Density of Splitting AVF Scheme for Stochastic Langevin Equation. CoRR abs/1906.03439 (2019) - [i6]Chuchu Chen, Jialin Hong, Diancong Jin, Liying Sun:
The superiority of stochastic symplectic methods for a linear stochastic oscillator via large deviations principles. CoRR abs/1906.03451 (2019) - [i5]Chuchu Chen, Jialin Hong, Yulan Lu:
Approximation of Invariant Measures for Stochastic Differential Equations with Piecewise Continuous Arguments via Backward Euler Method. CoRR abs/1906.04096 (2019) - [i4]Chuchu Chen, Jialin Hong, Chuying Huang:
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems based on the Wong-Zakai approximation. CoRR abs/1907.02825 (2019) - [i3]Chuchu Chen, Jialin Hong, Chol Sim, Kwang Sonwu:
Energy-preserving multi-symplectic Runge-Kutta methods for Hamiltonian wave equations. CoRR abs/1907.10351 (2019) - [i2]Jianbo Cui, Jialin Hong:
Analysis of a full discretization of stochastic Cahn-Hilliard equation with unbounded noise diffusion. CoRR abs/1907.11869 (2019) - [i1]Jianbo Cui, Jialin Hong, Lihai Ji, Liying Sun:
Strong convergence of a full discretization for stochastic wave equation with polynomial nonlinearity and addditive noise. CoRR abs/1909.00575 (2019) - 2018
- [j31]Jianbo Cui
, Jialin Hong:
Analysis of a Splitting Scheme for Damped Stochastic Nonlinear Schrödinger Equation with Multiplicative Noise. SIAM J. Numer. Anal. 56(4): 2045-2069 (2018) - 2017
- [j30]Weien Zhou
, Jingjing Zhang
, Jialin Hong, Songhe Song:
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise. J. Comput. Appl. Math. 325: 134-148 (2017) - [j29]Jianbo Cui
, Jialin Hong, Zhihui Liu
, Weien Zhou:
Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion. J. Comput. Phys. 342: 267-285 (2017) - [j28]Jialin Hong, Lihai Ji, Liying Zhang, Jiaxiang Cai:
An energy-conserving method for stochastic Maxwell equations with multiplicative noise. J. Comput. Phys. 351: 216-229 (2017) - [j27]Jialin Hong, Xu Wang, Liying Zhang:
Numerical Analysis on Ergodic Limit of Approximations for Stochastic NLS Equation via Multi-symplectic Scheme. SIAM J. Numer. Anal. 55(1): 305-327 (2017) - [j26]Yanzhao Cao, Jialin Hong, Zhihui Liu
:
Approximating Stochastic Evolution Equations with Additive White and Rough Noises. SIAM J. Numer. Anal. 55(4): 1958-1981 (2017) - [j25]Jialin Hong, Liying Sun, Xu Wang:
High Order Conformal Symplectic and Ergodic Schemes for the Stochastic Langevin Equation via Generating Functions. SIAM J. Numer. Anal. 55(6): 3006-3029 (2017) - [j24]Xunnian Yang
, Jialin Hong:
Dynamic Evaluation of Free-Form Curves and Surfaces. SIAM J. Sci. Comput. 39(2) (2017) - 2016
- [j23]Chuchu Chen, Jialin Hong, Liying Zhang:
Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods. J. Comput. Phys. 306: 500-519 (2016) - [j22]Chuchu Chen, Jialin Hong:
Symplectic Runge-Kutta Semidiscretization for Stochastic Schrödinger Equation. SIAM J. Numer. Anal. 54(4): 2569-2593 (2016) - 2015
- [j21]Jiaxiang Cai, Jialin Hong, Yushun Wang, Yuezheng Gong:
Two Energy-Conserved Splitting Methods for Three-Dimensional Time-Domain Maxwell's Equations and the Convergence Analysis. SIAM J. Numer. Anal. 53(4): 1918-1940 (2015) - 2014
- [j20]Jialin Hong, Lihai Ji
, Liying Zhang:
A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise. J. Comput. Phys. 268: 255-268 (2014) - [j19]Jialin Hong, Lihai Ji, Linghua Kong:
Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers. J. Comput. Phys. 269: 201-214 (2014) - 2013
- [j18]Jialin Hong, Chol Sim
, Xiuling Yin:
Solvability of concatenated Runge-Kutta equations for second-order nonlinear PDEs. J. Comput. Appl. Math. 245: 232-241 (2013) - 2011
- [j17]Yuanping Ma, Linghua Kong, Jialin Hong, Ying Cao:
High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations. Comput. Math. Appl. 61(2): 319-333 (2011) - [j16]Linghua Kong, Jialin Hong, Fangfang Fu, Jing Chen:
Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC. J. Comput. Appl. Math. 235(17): 4937-4948 (2011) - [j15]Jialin Hong, Shuxing Zhai, Jingjing Zhang
:
Discrete Gradient Approach to Stochastic Differential Equations with a Conserved Quantity. SIAM J. Numer. Anal. 49(5): 2017-2038 (2011) - 2010
- [j14]Linghua Kong, Jialin Hong, Jingjing Zhang
:
Splitting multisymplectic integrators for Maxwell's equations. J. Comput. Phys. 229(11): 4259-4278 (2010)
2000 – 2009
- 2009
- [j13]Linghua Kong, Jialin Hong, Lan Wang, Fangfang Fu:
Symplectic integrator for nonlinear high order Schrödinger equation with a trapped term. J. Comput. Appl. Math. 231(2): 664-679 (2009) - [j12]Jialin Hong, Shanshan Jiang, Chun Li:
Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations. J. Comput. Phys. 228(9): 3517-3532 (2009) - [j11]Jialin Hong, Shanshan Jiang, Chun Li:
Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations. Numerische Mathematik 112(1): 1-23 (2009) - 2008
- [j10]Jialin Hong, Yajuan Sun:
Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations. Numerische Mathematik 110(4): 491 (2008) - 2007
- [j9]Yuliang Han, Jialin Hong:
Existence of psi-bounded solutions for linear difference equations. Appl. Math. Lett. 20(3): 301-305 (2007) - [j8]Jialin Hong, Xiao-Yan Liu, Chun Li:
Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients. J. Comput. Phys. 226(2): 1968-1984 (2007) - [j7]Jialin Hong, Rudolf Scherer, Lijin Wang:
Predictor-corrector methods for a linear stochastic oscillator with additive noise. Math. Comput. Model. 46(5-6): 738-764 (2007) - 2006
- [j6]Jialin Hong, Hongyu Liu
, Geng Sun:
The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs. Math. Comput. 75(253): 167-181 (2006) - 2005
- [j5]Jialin Hong:
The Computation of Lyapunov Exponents for Periodic Trajectories. Int. J. Bifurc. Chaos 15(12): 4075-4080 (2005) - 2003
- [j4]Jialin Hong, Ying Liu:
A novel numerical approach to simulating nonlinear Schro"dinger equations with varying coefficients. Appl. Math. Lett. 16(5): 759-765 (2003) - 2002
- [j3]Jialin Hong, Meng-Zhao Qin:
Multisymplecticity of the centred box discretization for hamiltonian PDEs with m >= 2 space dimensions. Appl. Math. Lett. 15(8): 1005-1011 (2002) - 2000
- [j2]A. I. Alonso
, Jialin Hong, Rafael Obaya
:
Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences. Appl. Math. Lett. 13(2): 131-137 (2000) - [j1]Jialin Hong, Ying Liu:
Symplectic integrations of inear discontinuous hamiltonian systems and an application to the numerical simulation of bounded solutions. Neural Parallel Sci. Comput. 8(3-4): 317-326 (2000)
Coauthor Index

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