Jialin Hong
According to our database1,
Jialin Hong
authored at least 78 papers
between 2000 and 2024.
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Bibliography
2024
Novel structure-preserving schemes for stochastic Klein-Gordon-Schrödinger equations with additive noise.
J. Comput. Phys., March, 2024
Long-time weak convergence analysis of a semi-discrete scheme for stochastic Maxwell equations.
CoRR, 2024
Long-time dynamics of stochastic wave equation with dissipative damping and its full discretization: exponential ergodicity and strong law of large numbers.
CoRR, 2024
2023
Probabilistic limit behaviors of numerical discretizations for time-homogeneous Markov processes.
CoRR, 2023
Error analysis of numerical methods on graded meshes for stochastic Volterra equations.
CoRR, 2023
Exponential superiority in probability of stochastic symplectic methods for linear stochastic oscillator.
CoRR, 2023
2022
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation.
Math. Comput., 2022
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise.
J. Comput. Phys., 2022
Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations.
J. Comput. Phys., 2022
Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems.
J. Complex., 2022
An adaptive time-stepping fully discrete scheme for stochastic NLS equation: Strong convergence and numerical asymptotics.
CoRR, 2022
Convergence analysis of one-point large deviations rate functions of numerical discretizations for stochastic wave equations with small noise.
CoRR, 2022
Semi-implicit energy-preserving numerical schemes for stochastic wave equation via SAV approach.
CoRR, 2022
Well-posedness and Mittag-Leffler Euler integrator for space-time fractional SPDEs with fractionally integrated additive noise.
CoRR, 2022
Finite difference method for stochastic Cahn-Hilliard equation: Strong convergence rate and density convergence.
CoRR, 2022
Convergence analysis of a finite difference method for stochastic Cahn-Hilliard equation.
CoRR, 2022
Strong error analysis of Euler methods for overdamped generalized Langevin equations with fractional noise: Nonlinear case.
CoRR, 2022
2021
Strong Convergence of Full Discretization for Stochastic Cahn-Hilliard Equation Driven by Additive Noise.
SIAM J. Numer. Anal., 2021
Asymptotically-Preserving Large Deviations Principles by Stochastic Symplectic Methods for a Linear Stochastic Oscillator.
SIAM J. Numer. Anal., 2021
Structure-preserving splitting methods for stochastic logarithmic Schrödinger equation via regularized energy approximation.
CoRR, 2021
CoRR, 2021
Large deviations principles of sample paths and invariant measures of numerical methods for parabolic SPDEs.
CoRR, 2021
Influences of Numerical Discretizations on Hitting Probabilities for Linear Stochastic Parabolic System.
CoRR, 2021
Weak intermittency and second moment bound of a fully discrete scheme for stochastic heat equation.
CoRR, 2021
CoRR, 2021
Numerical approximations of one-point large deviations rate functions of stochastic differential equations with small noise.
CoRR, 2021
A splitting semi-implicit method for stochastic incompressible Euler equations on T<sup>2</sup>.
CoRR, 2021
2020
J. Comput. Phys., 2020
Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations.
J. Comput. Phys., 2020
Numerically asymptotical preservation of the large deviations principles for invariant measures of Langevin equations.
CoRR, 2020
Super-convergence analysis on exponential integrator for stochastic heat equation driven by additive fractional Brownian motion.
CoRR, 2020
Large deviations principles for symplectic discretizations of stochastic linear Schrödinger Equation.
CoRR, 2020
2019
Dynamic Evaluation of Exponential Polynomial Curves and Surfaces via Basis Transformation.
SIAM J. Sci. Comput., 2019
Parareal Exponential θ-Scheme for Longtime Simulation of Stochastic Schrödinger Equations with Weak Damping.
SIAM J. Sci. Comput., 2019
Strong and Weak Convergence Rates of a Spatial Approximation for Stochastic Partial Differential Equation with One-sided Lipschitz Coefficient.
SIAM J. Numer. Anal., 2019
SIAM J. Numer. Anal., 2019
Runge-Kutta Semidiscretizations for Stochastic Maxwell Equations with Additive Noise.
SIAM J. Numer. Anal., 2019
Strong convergence of a full discretization for stochastic wave equation with polynomial nonlinearity and addditive noise.
CoRR, 2019
Analysis of a full discretization of stochastic Cahn-Hilliard equation with unbounded noise diffusion.
CoRR, 2019
Energy-preserving multi-symplectic Runge-Kutta methods for Hamiltonian wave equations.
CoRR, 2019
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems based on the Wong-Zakai approximation.
CoRR, 2019
Approximation of Invariant Measures for Stochastic Differential Equations with Piecewise Continuous Arguments via Backward Euler Method.
CoRR, 2019
The superiority of stochastic symplectic methods for a linear stochastic oscillator via large deviations principles.
CoRR, 2019
2018
Analysis of a Splitting Scheme for Damped Stochastic Nonlinear Schrödinger Equation with Multiplicative Noise.
SIAM J. Numer. Anal., 2018
2017
Numerical Analysis on Ergodic Limit of Approximations for Stochastic NLS Equation via Multi-symplectic Scheme.
SIAM J. Numer. Anal., 2017
High Order Conformal Symplectic and Ergodic Schemes for the Stochastic Langevin Equation via Generating Functions.
SIAM J. Numer. Anal., 2017
SIAM J. Numer. Anal., 2017
An energy-conserving method for stochastic Maxwell equations with multiplicative noise.
J. Comput. Phys., 2017
Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion.
J. Comput. Phys., 2017
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise.
J. Comput. Appl. Math., 2017
2016
SIAM J. Numer. Anal., 2016
Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods.
J. Comput. Phys., 2016
2015
Two Energy-Conserved Splitting Methods for Three-Dimensional Time-Domain Maxwell's Equations and the Convergence Analysis.
SIAM J. Numer. Anal., 2015
2014
A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise.
J. Comput. Phys., 2014
Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers.
J. Comput. Phys., 2014
2013
J. Comput. Appl. Math., 2013
2011
Discrete Gradient Approach to Stochastic Differential Equations with a Conserved Quantity.
SIAM J. Numer. Anal., 2011
Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC.
J. Comput. Appl. Math., 2011
High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations.
Comput. Math. Appl., 2011
2010
J. Comput. Phys., 2010
2009
Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations.
Numerische Mathematik, 2009
J. Comput. Phys., 2009
Symplectic integrator for nonlinear high order Schrödinger equation with a trapped term.
J. Comput. Appl. Math., 2009
2008
Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations.
Numerische Mathematik, 2008
2007
Math. Comput. Model., 2007
Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients.
J. Comput. Phys., 2007
Appl. Math. Lett., 2007
2006
Math. Comput., 2006
2005
Int. J. Bifurc. Chaos, 2005
2003
A novel numerical approach to simulating nonlinear Schro"dinger equations with varying coefficients.
Appl. Math. Lett., 2003
2002
Multisymplecticity of the centred box discretization for hamiltonian PDEs with m >= 2 space dimensions.
Appl. Math. Lett., 2002
2000
Symplectic integrations of inear discontinuous hamiltonian systems and an application to the numerical simulation of bounded solutions.
Neural Parallel Sci. Comput., 2000
Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences.
Appl. Math. Lett., 2000