Results 101 to 109 of about 2,505 (109)

Parabolic Anderson model with a fractional Gaussian noise that is rough in time

, 2020
This paper concerns the parabolic Anderson equation ∂u ∂t = 1 2 ∆u+ u ∂d+1WH ∂t∂x1 · · · ∂xd generated by a (d + 1)-dimensional fractional noise with the Hurst parameter H = (H0, H1, · · · , Hd) with special interest in the setting that some of H0, · · ·
Xia Chen
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Fractal Dimension of Random Attractors for Non-autonomous Fractional Stochastic Reaction-diffusion Equations

Journal of Partial Differential Equations, 2020
This paper deals with non-autonomous fractional stochastic reaction-diffusion equations driven by multiplicative noise with s∈ (0,1). We first present some conditions for estimating the boundedness of fractal dimension of a random invariant set.
J. Shu
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Numerical Approximation to A Stochastic Parabolic PDE with Weak Galerkin Method

Numerical Mathematics: Theory, Methods and Applications, 2018
The weak Galerkin finite element method is a class of recently and rapidly developed numerical tools for approximating partial differential equations.
Hong-Wu Zhu
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Erratum: Moderate Deviations Principle and Central Limit Theorem for Stochastic Cahn-Hilliard Equation in Hölder Norm

International Journal of Applied Mathematics and Simulation
We consider a stochastic Cahn-Hilliard partial differential equation driven by a space-time white noise. In this paper, weprove a Central Limit Theorem (CLT) and a Moderate Deviation Principle (MDP) for a perturbed stochastic Cahn-Hilliard equation ...
Ratsarasaina R. M., Rabeherimanana T. J.
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Moderate Deviations Principle and Central Limit Theorem for Stochastic Cahn-Hilliard Equation in Holder Norm

International Journal of Applied Mathematics and Simulation
We consider a stochastic Cahn-Hilliard partial differential equation driven by a space-time white noise. In this paper, we prove a Central Limit Theorem (CLT) and a Moderate Deviation Principle (MDP) for a perturbed stochastic Cahn-Hilliard equation in ...
Ratsarasaina R. M., Rabeherimanana T. J.
semanticscholar   +1 more source

A Weak Galerkin Method with $C^0$ Element for Forth Order Linear Parabolic Equation

Advances in Applied Mathematics and Mechanics, 2019
This paper is concerned with the C0 weak Galerkin finite element method for a fourth order linear parabolic equation. The method is based on the construction of a discrete weak Laplacian operator.
Shimin Chai
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Time-Stepping Error Bound for a Stochastic Parabolic Volterra Equation Disturbed by Fractional Brownian Motions

Numerical Mathematics: Theory, Methods and Applications, 2019
In this paper, we consider a stochastic parabolic Volterra equation driven by the infinite dimensional fractional Brownian motion with Hurst parameter H ∈ [ 2 , 1).
R. Lin
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Error Estimates of Finite Element Methods for Stochastic Fractional Differential Equations

, 2017
Xiaocui Li, Xiaoyuan Yang
semanticscholar   +1 more source

A Compact Scheme for Coupled Stochastic Nonlinear Schrödinger Equations

, 2017
Chuchu Chen, Jialin Hong, Lihai Ji, L. Kong   +3 more
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