The high-order approximation of SPDEs with multiplicative noise via amplitude equations
From MaRDI portal
Publication:6118871
DOI10.1016/j.cnsns.2024.107937arXiv2308.15882MaRDI QIDQ6118871
Publication date: 21 March 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2308.15882
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modulation equation for SPDEs in unbounded domains with space-time white noise -- linear theory
- Qualitative properties of local random invariant manifolds for SPDEs with quadratic nonlinearity
- Variational approach to closure of nonlinear dynamical systems: autonomous case
- Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations
- Averaging principle for a class of stochastic reaction-diffusion equations
- Amplitude equation for SPDEs with quadratic nonlinearities
- Semigroups of linear operators and applications to partial differential equations
- Higher-order implicit strong numerical schemes for stochastic differential equations
- The stochastic Landau equation as an amplitude equation
- Internal layers for a singularly perturbed second-order quasilinear differential equation with discontinuous right-hand side
- Multiscale expansion of invariant measures for SPDEs
- Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise
- Stochastic attractor bifurcation of the one-dimensional Swift-Hohenberg equation with multiplicative noise
- Langevin equations in the small-mass limit: higher-order approximations
- Fast-diffusion limit for reaction-diffusion equations with degenerate multiplicative and additive noise
- Modulation equation and SPDEs on unbounded domains
- Finite-horizon parameterizing manifolds, and applications to suboptimal control of nonlinear parabolic PDEs
- Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions
- A Khasminskii type averaging principle for stochastic reaction-diffusion equations
- Invariant manifolds for random dynamical systems with slow and fast variables
- Modulation equations: Stochastic bifurcation in large domains
- Introduction to Perturbation Methods
- Approximation of Stochastic Invariant Manifolds
- Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations
- The impact of multiplicative noise in SPDEs close to bifurcation via amplitude equations
- Effective Macroscopic Dynamics of Stochastic Partial Differential Equations in Perforated Domains
- Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities
- Stochastic attractor bifurcation for the two‐dimensional Swift‐Hohenberg equation
- Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
- Modulation Equation for Stochastic Swift--Hohenberg Equation
- Amplitude equations for SPDEs driven by fractional additive noise with small hurst parameter
- Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes
- Singularly Perturbed Renormalization Group Method and Its Significance in Dynamical Systems Theory
- Stochastic Equations in Infinite Dimensions
- Approximation of Smooth Stable Invariant Manifolds for Stochastic Partial Differential Equations
- Amplitude equations for SPDEs with cubic nonlinearities
- APPROXIMATION OF THE STOCHASTIC RAYLEIGH–BÉNARD PROBLEM NEAR THE ONSET OF CONVECTION AND RELATED PROBLEMS
- Higher-order approximations in the averaging principle of multiscale systems
This page was built for publication: The high-order approximation of SPDEs with multiplicative noise via amplitude equations
