Robust discovery of partial differential equations in complex situations

@article{Xu2021RobustDO,
  title={Robust discovery of partial differential equations in complex situations},
  author={Hao Xu and Dongxiao Zhang},
  journal={ArXiv},
  year={2021},
  volume={abs/2106.00008}
}
Data-driven discovery of partial differential equations (PDEs) has achieved considerable development in recent years. Several aspects of problems have been resolved by sparse regression-based and neural network-based methods. However, the performances of existing methods lack stability when dealing with complex situations, including sparse data with high noise, high-order derivatives and shock waves, which bring obstacles to calculating derivatives accurately. Therefore, a robust PDE discovery… Expand
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