Solving time-dependent parametric PDEs by multiclass classification-based reduced order model

  title={Solving time-dependent parametric PDEs by multiclass classification-based reduced order model},
  author={Chen Cui and Kai Jiang and Shi Shu},
In this paper, we propose a network model, the multiclass classification-based reduced order model (MC-ROM), for solving time-dependent parametric partial differential equations (PPDEs). This work is inspired by the observation of applying the deep learning-based reduced order model (DL-ROM) [14] to solve diffusion-dominant PPDEs. We find that the DL-ROM has a good approximation for some special model parameters, but it cannot approximate the drastic changes of the solution as time evolves. Based… 



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