An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations

@article{Chung2019AnAD,
  title={An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations},
  author={E. Chung and S. Pun and Z. Zhang},
  journal={J. Comput. Appl. Math.},
  year={2019},
  volume={356},
  pages={302-313}
}
  • E. Chung, S. Pun, Z. Zhang
  • Published 2019
  • Mathematics, Computer Science
  • J. Comput. Appl. Math.
  • Abstract In this paper, we propose a dynamically low-dimensional approximation method to solve a class of time-dependent multiscale stochastic diffusion equations. In Cheng et al. (2013) a dynamically bi-orthogonal (DyBO) method was developed to explore low-dimensional structures of stochastic partial differential equations (SPDEs) and solve them efficiently. However, when the SPDEs have multiscale features in physical space, the original DyBO method becomes expensive. To address this issue, we… CONTINUE READING

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