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math.NA2022★ 1 cited
How much can one learn from a single solution of a PDE?
Hongkai Zhao, Yimin Zhong
Linear evolution PDE , where is a strongly elliptic operator independent of time, is studied as an example to show if one can supe…
math.NA2022★ 1 cited
How much can one learn a partial differential equation from its solution?
Yuchen He, Hongkai Zhao, Yimin Zhong
In this work we study the problem about learning a partial differential equation (PDE) from its solution data. PDEs of various types are used as examples to illustrate how much the…