Noise propagation in hybrid models of nonlinear systems: the Ginzburg-Landau equation

DOI10.1016/J.JCP.2014.01.015zbMath1349.65541OpenAlexW2045218772MaRDI QIDQ348868

Søren Taverniers, Francis J. Alexander, Daniel M. Tartakovsky

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.01.015

zbMATH Keywords

Ising modelstochastic partial differential equationhybrid methodsalgorithm refinementclosure methods

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Molecular, statistical, and kinetic theories in solid mechanics (74A25) Ginzburg-Landau equations (35Q56) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (3)

Conservative tightly-coupled simulations of stochastic multiscale systems ⋮ On the use of reverse Brownian motion to accelerate hybrid simulations ⋮ Uncertainty Quantification for Markov Random Fields

Cites Work

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• Algorithm refinement for the stochastic Burgers' equation
• A survey of numerical methods for stochastic differential equations
• Algorithm refinement for stochastic partial differential equations. I: Linear diffusion.
• Hybrid Simulations of Reaction-Diffusion Systems in Porous Media
• Stochastic averaging of nonlinear flows in heterogeneous porous media
• Beitrag zur Theorie des Ferromagnetismus
• Time-Dependent Statistics of the Ising Model

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