Spatially adaptive stochastic numerical methods for intrinsic fluctuations in reaction-diffusion systems

DOI10.1016/j.jcp.2010.01.012zbMath1187.65004OpenAlexW2011541632MaRDI QIDQ964272

Paul J. Atzberger

Publication date: 15 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.01.012

zbMATH Keywords

numerical examplespattern formationstochastic partial differential equationsreaction-diffusion systemsadaptive methodsreaction-diffusionstatistical physicsstochastic numerical methodsfluctuation-dissipation principlegradient sensingGray-Scott reactionsMAC discretizationmultilevel meshes

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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)

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