Strong convergence rates of an explicit scheme for stochastic Cahn-Hilliard equation with additive noise

DOI10.1007/s10543-023-00987-7arXiv2204.01100OpenAlexW4224318522MaRDI QIDQ6076380

Xiao-Jie Wang, Meng Cai, Rui-sheng Qi

Publication date: 21 September 2023

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01100

zbMATH Keywords

strong convergencespectral Galerkin methodstochastic Cahn-Hilliard equationtamed exponential Euler method

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Cites Work

• Finite element approximations for a linear Cahn-Hilliard-Cook equation driven by the space derivative of a space-time white noise
• Existence and regularity of solution for a stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion
• Conforming finite element methods for the stochastic Cahn-Hilliard-Cook equation
• Weak convergence rates for an explicit full-discretization of stochastic Allen-Cahn equation with additive noise
• A fully discrete mixed finite element method for the stochastic Cahn-Hilliard equation with gradient-type multiplicative noise
• On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients
• An efficient explicit full-discrete scheme for strong approximation of stochastic Allen-Cahn equation
• Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion
• Convergence of tamed Euler schemes for a class of stochastic evolution equations
• Finite-element approximation of the linearized Cahn-Hilliard-Cook equation
• Finite Element Approximation of the Cahn–Hilliard–Cook Equation
• On the stochastic Cahn-Hilliard equation
• Abstract Parabolic Evolution Equations and their Applications
• Strong Convergence of a Fully Discrete Finite Element Approximation of the Stochastic Cahn--Hilliard Equation
• Stochastic Cahn-Hilliard equation
• Approximation of the invariant distribution for a class of ergodic SPDEs using an explicit tamed exponential Euler scheme
• FRACTIONAL ORDER SOBOLEV SPACES FOR THE NEUMANN LAPLACIAN AND THE VECTOR LAPLACIAN
• Error Estimates of Semidiscrete and Fully Discrete Finite Element Methods for the Cahn--Hilliard--Cook equation
• Strong Convergence of Full Discretization for Stochastic Cahn--Hilliard Equation Driven by Additive Noise
• Stochastic Equations in Infinite Dimensions
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Spinodal decomposition for the Cahn-Hilliard-Cook equation
• Weak convergence of the backward Euler method for stochastic Cahn-Hilliard equation with additive noise
• Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations