An adaptive algorithm for simulation of stochastic reaction-diffusion processes

@article{Ferm2010AnAA,
  title={An adaptive algorithm for simulation of stochastic reaction-diffusion processes},
  author={Lars Ferm and Andreas Hellander and Per L{\"o}tstedt},
  journal={J. Comput. Physics},
  year={2010},
  volume={229},
  pages={343-360}
}
We propose an adaptive hybrid method suitable for stochastic simulation of diffusion dominated reaction-diffusion processes. For such systems, simulation of the diffusion requires the predominant part of the computing time. In order to reduce the computational work, the diffusion in parts of the domain is treated macroscopically, in other parts with the tau-leap method and in the remaining parts with Gillespie’s stochastic simulation algorithm (SSA) as implemented in the next subvolume method… CONTINUE READING

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