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07/17/2023
Regularization effect of noise on fully discrete approximation for stochastic reaction-diffusion equation near sharp interface limit
To capture and simulate geometric surface evolutions, one effective appr...
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07/17/2023
Weak approximation for stochastic Reaction-diffusion equation near sharp interface limit
It is known that when the diffuse interface thickness ϵ vanishes, the sh...
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03/09/2023
Energy regularized models for logarithmic SPDEs and their numerical approximations
Understanding the properties of the stochastic phase field models is cru...
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09/12/2022
Optimal control for stochastic nonlinear Schrodinger equation on graph
We study the optimal control formulation for stochastic nonlinear Schrod...
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08/29/2022
Semi-implicit energy-preserving numerical schemes for stochastic wave equation via SAV approach
In this paper, we propose and analyze semi-implicit numerical schemes fo...
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07/19/2022
Weak error estimates of fully-discrete schemes for the stochastic Cahn-Hilliard equation
We study a class of fully-discrete schemes for the numerical approximati...
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12/19/2021
Explicit Numerical Methods for High Dimensional Stochastic Nonlinear Schrödinger Equation: Divergence, Regularity and Convergence
This paper focuses on the construction and analysis of explicit numerica...
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11/08/2021
Structure-preserving splitting methods for stochastic logarithmic Schrödinger equation via regularized energy approximation
In this paper, we study two kinds of structure-preserving splitting meth...
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05/20/2021
A continuation multiple shooting method for Wasserstein geodesic equation
In this paper, we propose a numerical method to solve the classic L^2-op...
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07/25/2020
Convergence of Density Approximations for Stochastic Heat Equation
This paper investigates the convergence of density approximations for st...
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06/16/2020
Time Discretizations of Wasserstein-Hamiltonian Flows
We study discretizations of Hamiltonian systems on the probability densi...
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09/02/2019
Strong convergence of a full discretization for stochastic wave equation with polynomial nonlinearity and addditive noise
In this paper, we propose a full discretization for d-dimensional stocha...
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07/27/2019