Jialin Hong

发表

Optimal error estimate of a compact scheme for nonlinear Schrödinger equation

Ting-chun Wang, Jialin Hong, Lihai Ji, 2017 .

Stochastic conformal multi-symplectic method for damped stochastic nonlinear Schrodinger equation

Jialin Hong, Lihai Ji, Chuchu Chen, 2018, 1803.10885.

Convergence in probability of an ergodic and conformal multi-symplectic numerical scheme for a damped stochastic NLS equation

Jialin Hong, Lihai Ji, Xu Wang, 2016, 1611.08778.

A Survey of Multi-symplectic Runge-Kutta Type Methods for Hamiltonian Partial Differential Equations

Jialin Hong, 2006 .

Strong Convergence Rate for Fully Discrete Scheme of Semilinear Stochastic Evolution Equation with Multiplicative Noise

Jialin Hong, Chuying Huang, Zhihui Liu, 2018, 1805.07537.

Strong Convergence Rate of Finite Difference Approximations for Stochastic Cubic Schr\"odinger Equations

Jialin Hong, Zhihui Liu, J. Cui, 2016, 1609.08744.

Well-posedness and optimal regularity of stochastic evolution equations with multiplicative noises

Jialin Hong, Zhihui Liu, 2017, Journal of Differential Equations.

Strong convergence of numerical discretizations for semilinear stochastic evolution equations driven by multiplicative white noise

Jialin Hong, Chuying Huang, Zhihui Liu, 2018 .

Strong convergence rate of a full discretization for stochastic Cahn--Hilliard equation driven by space-time white noise

Jialin Hong, J. Cui, Liying Sun, 2018, 1812.06289.

Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen–Cahn equation

Jialin Hong, Charles-Edouard Br'ehier, J. Cui, 2018, IMA Journal of Numerical Analysis.

Strong and weak convergence rates of finite element method for stochastic partial differential equation with non-sided Lipschitz coefficient.

Jialin Hong, J. Cui, 2018, 1806.01564.

Strong and weak convergence rates of finite element method for stochastic partial differential equation with non-globally Lipschitz coefficients

Jialin Hong, J. Cui, 2018 .

Weak convergence and invariant measure of a full discretization for non-globally Lipschitz parabolic SPDE

Jialin Hong, J. Cui, Liying Sun, 2018, 1811.04075.

Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations

Jialin Hong, W. Zhou, Zhihui Liu, 2017, Journal of Differential Equations.

Structure-preserving splitting methods for stochastic logarithmic Schrödinger equation via regularized energy approximation

Jialin Hong, J. Cui, Liying Sun, 2021, ArXiv.

Convergence in Density of Splitting AVF Scheme for Stochastic Langevin Equation

Jialin Hong, J. Cui, Derui Sheng, 2019, 1906.03439.

Convergence of a $$\theta $$θ-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise

Jialin Hong, Chuchu Chen, A. Prohl, 2014, 1410.6231.

Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion

Jialin Hong, Yanzhao Cao, Zhihui Liu, 2015, 1507.02399.

Convergence analysis of a symplectic semi-discretization for stochastic nls equation with quadratic potential

Jialin Hong, L. Miao, Liying Zhang, 2017, Discrete & Continuous Dynamical Systems - B.

Preservation of quadratic invariants of stochastic differential equations via Runge–Kutta methods

Jialin Hong, Peng Wang, Dongsheng Xu, 2015 .

Projection methods for stochastic differential equations with conserved quantities

Jialin Hong, Songhe Song, W. Zhou, 2016, 1601.04157.

Modified equations for weakly convergent stochastic symplectic schemes via their generating functions

Jialin Hong, Liying Sun, Lijin Wang, 2016 .

Modified equations for weak stochastic symplectic schemes via their generating functions

Jialin Hong, Lijin Wang, 2014, 1411.2207.

ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT

Jialin Hong, R. Yuan, 1996 .

N A ] 9 J ul 2 01 9 Optimal Strong Convergence Rate of a Backward Euler Type Scheme for the Cox – Ingersoll – Ross Model Driven by Fractional Brownian Motion

Jialin Hong, Xu Wang, Chuying Huang, 2019 .

Energy-conserving numerical methods for multi-symplectic Hamiltonian PDEs ∗

Yajuan Sun, Jialin Hong, 2007 .

Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients

Ying Liu, Antonella Zanna, Jialin Hong, 2006 .

Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions

Jialin Hong, Xu Wang, Chuying Huang, 2020 .

Strong convergence rate of Runge--Kutta methods and simplified step-$N$ Euler schemes for SDEs driven by fractional Brownian motions

Jialin Hong, Xu Wang, Chuying Huang, 2017, 1711.02907.

Strong convergence rate for two classes of implementable methods for SDEs driven by fractional Brownian motions

Jialin Hong, Xu Wang, Chuying Huang, 2017 .

Parareal exponential $\theta$-scheme for longtime simulation of stochastic Schr\"odinger equations with weak damping

Jialin Hong, Xu Wang, Jialin Hong, 2018 .

LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates

Jialin Hong, L. Kong, Jingjing Zhang, 2013 .

LOD-MSfor Gross-PitaevskiiEquation in Bose-Einstein Condensates

Jialin Hong, L. Kong, Jingjing Zhang, 2013 .

Stochastic K-symplectic integrators for stochastic non-canonical Hamiltonian systems and applications to the Lotka--Volterra model

Jialin Hong, Lihai Ji, Xu Wang, 2017, 1711.03258.

Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary

Jialin Hong, Lihai Ji, 2014, 1410.7177.

ERROR ANALYSIS OF SOME MULTI-SYMPLECTIC SCHEME FOR KLEIN-GORDON-SCHRÖDINGER EQUATION

Jialin Hong, Shanshan Jiang, Li Chun, 2006 .

M ar 2 01 8 STOCHASTIC CONFORMAL MULTI-SYMPLECTIC METHOD FOR DAMPED STOCHASTIC NONLINEAR SCHRÖDINGER EQUATION

Jialin Hong, Chuchu Chen, JI Lihai, 2022 .

Well-posedness and Finite Element Method for Quasi-linear Elliptic Stochastic Partial Differential Equations Driven by Fractional Brownian Noises

Jialin Hong, Yanzhao Cao, Zhihui Liu, 2015 .

Symplectic integrator for nonlinear high order Schrödinger equation with a trapped term

Lan Wang, Jialin Hong, Linghua Kong, 2009, J. Comput. Appl. Math..

Well-posedness and Mittag-Leffler Euler integrator for space-time fractional SPDEs with fractionally integrated additive noise

Jialin Hong, Derui Sheng, Xinjie Dai, 2022, ArXiv.

Construction of Symplectic Runge-Kutta Methods for Stochastic Hamiltonian Systems

Jialin Hong, Peng Wang, D. Xu, 2017 .

Explicit pseudo-symplectic methods for stochastic Hamiltonian systems

Jialin Hong, Zhihui Liu, J. Cui, 2018 .

Stochastic differential equation with piecewise continuous arguments: Markov property, invariant measure and numerical approximation

Jialin Hong, Chuchu Chen, Yulan Lu, 2022, Discrete and Continuous Dynamical Systems - B.

A symplectic local discontinuous Galerkin method for stochastic Schr\"odinger equation

Jialin Hong, Lihai Ji, Chuchu Chen, 2014 .

Near Preservation of Quadratic Invariants by Stochastic Runge-Kutta Methods

Jialin Hong, Liying Zhang, Lijin Wang, 2014, 1410.6293.

Mean-square Convergence of a Symplectic Local Discontinuous Galerkin Method Applied to Stochastic Linear Schroedinger Equation

Jialin Hong, Lihai Ji, Chuchu Chen, 2014, 1410.5644.

Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations

Jialin Hong, Liying Sun, Qiang Li, 2022, J. Comput. Phys..

Optimal H\"older Continuity of SPDE with Rough Fractional Noise.

Jialin Hong, Zhihui Liu, 2020 .

Semi-implicit energy-preserving numerical schemes for stochastic wave equation via SAV approach

Jialin Hong, J. Cui, Liying Sun, 2022, 2208.13394.

Modified averaged vector field methods preserving multiple invariants for conservative stochastic differential equations

Jialin Hong, Chuchu Chen, Diancong Jin, 2020, BIT Numerical Mathematics.

Projection methods for stochastic differential equations with conserved quantities

Jialin Hong, Songhe Song, Liying Zhang, 2016, BIT Numerical Mathematics.

Conservative methods for stochastic differential equations with a conserved quantity

Jialin Hong, Chuchu Chen, David Cohen, 2014, 1411.1819.

Weak intermittency of stochastic heat equation under discretizations

Jialin Hong, Chuchu Chen, Tonghe Dang, 2022, Journal of Differential Equations.

An adaptive time-stepping fully discrete scheme for stochastic NLS equation: Strong convergence and numerical asymptotics

Jialin Hong, Chuchu Chen, Tonghe Dang, 2022, ArXiv.

CLT for approximating ergodic limit of SPDEs via a full discretization

Jialin Hong, Chuchu Chen, Tonghe Dang, 2022, Stochastic Processes and their Applications.

Dynamic Evaluation of Free-Form Curves and Surfaces

Jialin Hong, Xunnian Yang, Xunnian Yang, 2017, SIAM J. Sci. Comput..

Generating functions of multi-symplectic RK methods via DW Hamilton–Jacobi equations

Jialin Hong, Yajuan Sun, Yajuan Sun, 2008, Numerische Mathematik.

Generating functions of multi-symplectic PRK methods via DW

Yajuan Sun, Jialin Hong, 2006 .

Multisymplecticity of the centred box discretization for hamiltonian PDEs with m >= 2 space dimensions

Jialin Hong, Meng-Zhao Qin, M. Qin, 2002, Appl. Math. Lett..

Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation

Jialin Hong, Lihai Ji, Zhihui Liu, 2016, 1609.08853.

Local energy‐ and momentum‐preserving schemes for Klein‐Gordon‐Schrödinger equations and convergence analysis

Jialin Hong, Yushun Wang, Jiaxiang Cai, 2017 .

Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations

Shanshan Jiang, Chun Li, Jialin Hong, 2009, J. Comput. Phys..

Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations

Chun Li, Jialin Hong, Chun Xing Li, 2006 .

Invariant Measures for Stochastic Nonlinear Schrödinger Equations

Jialin Hong, Xu Wang, 2019, Lecture Notes in Mathematics.

Existence of psi-bounded solutions for linear difference equations

Jialin Hong, Yuliang Han, Jialin Hong, 2007, Appl. Math. Lett..

Ergodic Type Solutions of Some Differential Equations

Jialin Hong, R. Obaya, 2001 .

A class of ergodic solutions of nonlinear differential equations and numerical treatment

R. Agarwal, Y. Liu, Jialin Hong, 2000 .

Exponential dichotomy and trichotomy for difference equations

Jialin Hong, Rafael Obaya, Jialin Hong, 1999 .

Existence of a class of ergodic solutions implies exponential trichotomy

Jialin Hong, R. Obaya, Ana M. Sanz, 1999 .

Central limit theorem for full discretization of parabolic SPDE

Jialin Hong, Chuchu Chen, Tonghe Dang, 2022, ArXiv.

A Review on Stochastic Multi-symplectic Methods for Stochastic Maxwell Equations

Jialin Hong, Lihai Ji, Chuchu Chen, 2019, Communications on Applied Mathematics and Computation.

Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods

Liying Zhang, Jialin Hong, Chuchu Chen, 2014, J. Comput. Phys..

An energy-conserving method for stochastic Maxwell equations with multiplicative noise

Jialin Hong, Lihai Ji, Jiaxiang Cai, 2014, Journal of Computational Physics.

Approximating Stochastic Evolution Equations with Additive White and Rough Noises

Zhihui Liu, Jialin Hong, Yanzhao Cao, 2016, SIAM J. Numer. Anal..

A new efficient operator splitting method for stochastic Maxwell equations pdf

Jialin Hong, Lihai Ji, Chuchu Chen, 2021, ArXiv.

Exponential integrators for stochastic Maxwell's equations driven by Itô noise

Liying Sun, Jianbo Cui, Jialin Hong, 2019, J. Comput. Phys..

Mean-Square Convergence of a Semidiscrete Scheme for Stochastic Maxwell Equations

Jialin Hong, Lihai Ji, Chuchu Chen, 2019, SIAM J. Numer. Anal..

Runge-Kutta Semidiscretizations for Stochastic Maxwell Equations with Additive Noise

Jialin Hong, Lihai Ji, Chuchu Chen, 2018, SIAM J. Numer. Anal..

Mean-square convergence of a semi-discrete scheme for stochastic nonlinear Maxwell equations

Jialin Hong, Lihai Ji, Chuchu Chen, 2018, 1802.10219.

A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise

Liying Zhang, Jialin Hong, Lihai Ji, 2014, J. Comput. Phys..

Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation

Jialin Hong, Lijin Wang, Jialin Hong, 2013 .

Discrete Gradient Approach to Stochastic Differential Equations with a Conserved Quantity

Jingjing Zhang, Jialin Hong, Shuxing Zhai, 2011, SIAM J. Numer. Anal..

Splitting multisymplectic integrators for Maxwell's equations

Jingjing Zhang, Jialin Hong, Linghua Kong, 2010, J. Comput. Phys..

Accuracy of classical conservation laws for Hamiltonian PDEs under Runge–Kutta discretizations

Shanshan Jiang, Chun Li, Jialin Hong, 2009, Numerische Mathematik.

Structure-preserving numerical methods for stochastic Poisson systems pdf

Jialin Hong, Liying Sun, Lijin Wang, 2020, Communications in Computational Physics.

Quasi-effective stability for nearly integrable Hamiltonian systems

Jialin Hong, Fuzhong Cong, Hongtian Li, 2015 .

Near-invariant tori on exponentially long time for Poisson systems ✩

Jialin Hong, Fuzhong Cong, Yuliang Han, 2007 .

Invariant Measures for Stochastic Differential Equations

Jialin Hong, Xu Wang, Jialin Hong, 2019, Lecture Notes in Mathematics.

Strong and Weak Convergence Rates of a Spatial Approximation for Stochastic Partial Differential Equation with One-sided Lipschitz Coefficient

Jianbo Cui, Jialin Hong, Jialin Hong, 2019, SIAM J. Numer. Anal..

Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers

Jialin Hong, Linghua Kong, Lihai Ji, 2014, J. Comput. Phys..

Exponential trichotomy and a class of ergodic solutions of differential equations with ergodic perturbations

Jialin Hong, R. Obaya, A. S. Gil, 1999 .

Large deviations principles of sample paths and invariant measures of numerical methods for parabolic SPDEs pdf

Ziheng Chen, Diancong Jin, Chuchu Chen, 2021, ArXiv.

Well-Posedness and Finite Element Approximations for Elliptic SPDEs with Gaussian Noises

Jialin Hong, Yanzhao Cao, Zhihui Liu, 2015, Communications in Mathematical Research.

Compact and efficient conservative schemes for coupled nonlinear Schrödinger equations

Jialin Hong, Linghua Kong, Lihai Ji, 2015 .

Wellposedness and regularity estimates for stochastic Cahn–Hilliard equation with unbounded noise diffusion

Jialin Hong, J. Cui, 2019, Stochastics and Partial Differential Equations: Analysis and Computations.

Optimal regularity of stochastic evolution equations in M-type 2 Banach spaces

Jialin Hong, Chuying Huang, Zhihui Liu, 2017, Journal of Differential Equations.

Energy-preserving exponential integrable numerical method for stochastic cubic wave equation with additive noise.

Jianbo Cui, Jialin Hong, Lihai Ji, 2019 .

Weak convergence and invariant measure of a full discretization for non-globally Lipschitz parabolic SPDE

Jialin Hong, J. Cui, Liying Sun, 2018, 1811.04075.

Solvability of concatenated Runge-Kutta equations for second-order nonlinear PDEs

Jialin Hong, Chol Sim, Xiuling Yin, 2013, J. Comput. Appl. Math..

Generating functions for stochastic symplectic methods

Jialin Hong, Lijin Wang, Jialin Hong, 2013 .

Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients

Chun Li, Jialin Hong, Xiao-Yan Liu, 2007, J. Comput. Phys..

Spurious behavior of a symplectic integrator

Jialin Hong, Geng Sun, Jialin Hong, 2005 .

A Compact Scheme for Coupled Stochastic Nonlinear Schrödinger Equations

Jialin Hong, Linghua Kong, Lihai Ji, 2017 .

Symplectic Numerical Methods for a Linear Stochastic Oscillator with Two Additive Noises

Jialin Hong, Lijin Wang, R. Scherer, 2011 .

DYNAMICS AND VARIATIONAL INTEGRATORS OF STOCHASTIC HAMILTONIAN SYSTEMS

F. Bai, Jialin Hong, Lijin Wang, 2009 .

Parareal Exponential θ-Scheme for Longtime Simulation of Stochastic Schrödinger Equations with Weak Damping

Xu Wang, Jialin Hong, Liying Zhang, 2018, SIAM J. Sci. Comput..

The existence of almost periodic solutions for a class of differential equations with piecewise constant argument

Jialin Hong, Jialin Hong, Y. Rong, 1997 .

Almost periodic type solutions of some differential equations with piecewise constant argument

Jialin Hong, Rafael Obaya, Jialin Hong, 2001 .

Absolutely continuous dynamics and real coboundary cocycles in $L^p$-spaces, 0 < p < ∞

Jialin Hong, R. Obaya, A. Alonso, 2000 .

Stochastic Multi-symplectic Wavelet Collocation Method for 3D Stochastic Maxwell Equations with Multiplicative Noise

Liying Zhang, Jialin Hong, Jiaxiang Cai, 2014 .

Symplectic Runge–Kutta methods for Hamiltonian systems driven by Gaussian rough paths

Jialin Hong, Xu Wang, Chuying Huang, 2017, Applied Numerical Mathematics.

Dynamic evaluation of exponential polynomial curves and surfaces via basis transformation pdf

Jialin Hong, Xunnian Yang, Xunnian Yang, 2019, SIAM J. Sci. Comput..

Strong convergence of a full discretization for stochastic wave equation with polynomial nonlinearity and addditive noise

Jialin Hong, Lihai Ji, J. Cui, 2019, ArXiv.

The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs

Geng Sun, Hongyu Liu, Jialin Hong, 2005, Math. Comput..

Multisymplecticity of the centred box scheme for a class of hamiltonian PDEs and an application to quasi-periodically solitary waves

Ying Liu, Jialin Hong, Y. Liu, 2004 .

Strong error analysis of Euler methods for overdamped generalized Langevin equations with fractional noise: Nonlinear case

Jialin Hong, Derui Sheng, Xinjie Dai, 2022, ESAIM: Mathematical Modelling and Numerical Analysis.

Density convergence of a fully discrete finite difference method for stochastic Cahn--Hilliard equation

Jialin Hong, Derui Sheng, Diancong Jin, 2022, 2203.00571.

Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients

Jianbo Cui, Jialin Hong, Liying Sun, 2021, Stochastic Processes and their Applications.

Convergence of Density Approximations for Stochastic Heat Equation pdf

Jianbo Cui, Jialin Hong, Chuchu Chen, 2020, ArXiv.

Strong and weak convergence rates of finite element method for stochastic partial differential equation with non-sided Lipschitz coefficient.

Jialin Hong, J. Cui, 2018, 1806.01564.

Energy-preserving multi-symplectic Runge-Kutta methods for Hamiltonian wave equations pdf

Jialin Hong, Chuchu Chen, Chol Sim, 2019, ArXiv.

Approximation of Invariant Measure for Damped Stochastic Nonlinear Schrödinger Equation via an Ergodic Numerical Scheme

Jialin Hong, Chuchu Chen, Xu Wang, 2015, 1509.09148.

Analysis of a Splitting Scheme for Damped Stochastic Nonlinear Schrödinger Equation with Multiplicative Noise

Jianbo Cui, Jialin Hong, Jialin Hong, 2017, SIAM J. Numer. Anal..

Weak intermittency and second moment bound of a fully discrete scheme for stochastic heat equation pdf

Jialin Hong, Chuchu Chen, Tonghe Dang, 2021, ArXiv.

Convergence analysis of a finite difference method for stochastic Cahn-Hilliard equation

Jialin Hong, Derui Sheng, Diancong Jin, 2022, ArXiv.

Numerically asymptotical preservation of the large deviations principles for invariant measures of Langevin equations pdf

Jialin Hong, Diancong Jin, Liying Sun, 2020, ArXiv.

Positivity-preserving symplectic methods for the stochastic Lotka–Volterra predator-prey model

Jialin Hong, Lihai Ji, Xu Wang, 2021, BIT Numerical Mathematics.

Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences

Jialin Hong, Rafael Obaya, A. I. Alonso, 2000, Appl. Math. Lett..

ERGODIC TYPE SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS

Jialin Hong, A. Alonso, 2001 .

Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme

Jialin Hong, Linghua Kong, Jialin Hong, 2008 .

Almost periodic random sequences in probability

Jialin Hong, Yuliang Han, 2007 .

Ergodic solutions via ergodic sequences

Jialin Hong, R. Obaya, Ana M. Sanz, 2000 .

Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations

Jialin Hong, Chuchu Chen, Chol Sim, 2020, J. Comput. Phys..