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Jialin Hong

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Papers (37)

  1. Convergence analysis of a finite difference method for stochastic Cahn--Hilliard equation math.NA · 2022 · author #1
  2. Energy-preserving multi-symplectic Runge-Kutta methods for Hamiltonian wave equations math.NA · 2019 · author #2
  3. Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems based on the Wong--Zakai approximation math.NA · 2019 · author #2
  4. Weak convergence and invariant measure of a full discretization for non-globally Lipschitz parabolic SPDE math.NA · 2018 · author #2
  5. Strong and weak convergence rates of finite element method for stochastic partial differential equation with non-sided Lipschitz coefficient math.PR · 2018 · author #2
  6. Runge-Kutta semidiscretizations for stochastic Maxwell equations with additive noise math.NA · 2018 · author #2
  7. Strong convergence of numerical discretizations for semilinear stochastic evolution equations driven by multiplicative white noise math.NA · 2018 · author #1
  8. Stochastic conformal multi-symplectic method for damped stochastic nonlinear Schrodinger equation math.SG · 2018 · author #2
  9. Parareal exponential $\theta$-scheme for longtime simulation of stochastic Schr\"odinger equations with weak damping math.NA · 2018 · author #1
  10. Mean-square convergence of a semi-discrete scheme for stochastic nonlinear Maxwell equations math.NA · 2018 · author #2
  11. Strong convergence rates of semi-discrete splitting approximations for stochastic Allen--Cahn equation math.PR · 2018 · author #3
  12. On Global Existence and Blow-up for Damped Stochastic Nonlinear Schr\"odinger Equation math.PR · 2018 · author #2
  13. Stochastic K-symplectic integrators for stochastic non-canonical Hamiltonian systems and applications to the Lotka--Volterra model math.NA · 2017 · author #1
  14. Analysis of A Splitting Scheme for Damped Stochastic Nonlinear Schr\"odinger Equation with Multiplicative Noise math.NA · 2017 · author #2
  15. Optimal Regularity of Stochastic Evolution Equations in M-type 2 Banach Spaces math.PR · 2017 · author #1
  16. Well-posedness and Optimal Regularity of Stochastic Evolution Equations with Multiplicative Noises math.AP · 2017 · author #1
  17. Symplectic Runge-Kutta Methods for Hamiltonian Systems Driven by Gaussian Rough Paths math.NA · 2017 · author #1
  18. Convergence analysis of a symplectic semi-discretization for stochastic NLS equation with quadratic potential math.NA · 2017 · author #1
  19. High order conformal symplectic and ergodic schemes for stochastic Langevin equation via generating functions math.NA · 2017 · author #1
  20. Strong Convergence Rate of Splitting Schemes for Stochastic Nonlinear Schr\"odinger Equations math.NA · 2017 · author #2
  21. Convergence in probability of an ergodic and conformal multi-symplectic numerical scheme for a damped stochastic NLS equation math.NA · 2016 · author #1
  22. Optimal Error Estimates of Conservative Local Discontinuous Galerkin Method for Nonlinear Schr\"odinger Equation math.NA · 2016 · author #1
  23. Strong Convergence Rate of Finite Difference Approximations for Stochastic Cubic Schr\"odinger Equations math.PR · 2016 · author #2
  24. Stochastic Symplectic and Multi-Symplectic Methods for Nonlinear Schr\"odinger Equation with White Noise Dispersion math.NA · 2016 · author #2
  25. Numerical Analysis on Ergodic Limit of Approximations for Stochastic NLS Equation via Multi-symplectic Scheme math.NA · 2016 · author #1
  26. Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise math.NA · 2016 · author #3
  27. Projection methods for stochastic differential equations with conserved quantities math.NA · 2016 · author #3
  28. Approximation of Invariant Measure for Damped Stochastic Nonlinear Schr\"{o}dinger Equation via an Ergodic Numerical Scheme math.NA · 2015 · author #2
  29. Preservation of Physical Properties of Stochastic Maxwell Equations with Additive Noise via Stochastic Multi-symplectic Methods math.NA · 2014 · author #2
  30. Modified equations for weak stochastic symplectic schemes via their generating functions math.NA · 2014 · author #2
  31. Conservative methods for stochastic differential equations with a conserved quantity math.NA · 2014 · author #3
  32. Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary math.NA · 2014 · author #1
  33. Near Preservation of Quadratic Invariants by Stochastic Runge-Kutta Methods math.NA · 2014 · author #1
  34. Convergence of a $\theta$-scheme to solve the stochastic nonlinear Schr\"odinger equation with Stratonovich noise math.NA · 2014 · author #2
  35. Symplectic Runge-Kutta Semi-discretization for Stochastic Schr\"odinger Equation math.NA · 2014 · author #2
  36. Mean-square Convergence of a Symplectic Local Discontinuous Galerkin Method Applied to Stochastic Linear Schroedinger Equation math.NA · 2014 · author #2
  37. Energy-conserving method for Stochastic Maxwell Equations with Multiplicative Noise math.NA · 2014 · author #1

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