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• W2072969946 abstract "We present an algorithm for adaptive mesh refinement applied to mesoscopic stochastic simulations of spatially evolving reaction–diffusion processes. The transition rates for the diffusion process are derived on adaptive, locally refined structured meshes. Convergence of the diffusion process is presented and the fluctuations of the stochastic process are verified. Furthermore, a refinement criterion is proposed for the evolution of the adaptive mesh. The method is validated in simulations of reaction–diffusion processes as described by the Fisher–Kolmogorov and Gray–Scott equations." @default.
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• W2072969946 date "2011-01-01" @default.
• W2072969946 modified "2023-10-17" @default.
• W2072969946 title "Adaptive mesh refinement for stochastic reaction–diffusion processes" @default.
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• W2072969946 doi "https://doi.org/10.1016/j.jcp.2010.08.035" @default.
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