Convergence of the spectral Galerkin method for the stochastic reaction-diffusion-advection equation

DOI10.1016/j.jmaa.2016.09.028zbMath1352.65020OpenAlexW2519564372MaRDI QIDQ333862

Yanzhi Zhang, Li Yang

Publication date: 31 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.09.028

zbMATH Keywords

Burgers' equationconvergence ratespectral Galerkin methodnumerical simulationsGalerkin approximationAllen-Cahn equationstochastic reaction-diffusion-advection equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (2)

Strong convergence for explicit space-time discrete numerical approximation methods for stochastic Burgers equations ⋮ Numerical approximation for fractional diffusion equation forced by a tempered fractional Gaussian noise

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The numerical approximation of stochastic partial differential equations
• Global solutions of reaction-diffusion systems
• Weak convergence of a numerical method for a stochastic heat equation
• Spectral collocation method for stochastic Burgers equation driven by additive noise
• On the stochastic Burgers' equation in the real line
• Rate of weak convergence of the finite element method for the stochastic heat equation with additive noise
• Convergence of the spectral method for stochastic Ginzburg-Landau equation driven by space-time white noise
• Well-posedness of stochastic partial differential equations with Lyapunov condition
• Order of Convergence of Splitting Schemes for Both Deterministic and Stochastic Nonlinear Schrödinger Equations
• Large fluctuations for a nonlinear heat equation with noise
• Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises
• Stochastic burgers equation with correlated noise
• Galerkin Approximations for the Stochastic Burgers Equation
• On the discretization in time of parabolic stochastic partial differential equations
• Stochastic Burgers' equation
• Stochastic Equations in Infinite Dimensions

This page was built for publication: Convergence of the spectral Galerkin method for the stochastic reaction-diffusion-advection equation