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most citedOptimizing a DIscrete Loss (ODIL) to solve forward and inverse problems for partial differential equations using machine learning tools

51 citations · 202 across the 13 of their papers we have counts for

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math.NA2022★ 51 cited

Optimizing a DIscrete Loss (ODIL) to solve forward and inverse problems for partial differential equations using machine learning tools

Petr Karnakov, Sergey Litvinov, Petros Koumoutsakos

We introduce the Optimizing a Discrete Loss (ODIL) framework for the numerical solution of Partial Differential Equations (PDE) using machine learning tools. The framework formulat…