most citedOn quadrature rules for solving Partial Differential Equations using Neural Networks

42 citations · 43 across the 2 of their papers we have counts for

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math.NA2022★ 1 cited

Adaptive Deep Learning Method for Solving Partial Differential Equations

Ángel J. Omella, David Pardo

We introduce an adaptive algorithm to solve Partial Differential Equations using a Deep Neural Network. The proposed method restricts to tensor product meshes and optimizes the…

math.NA2021★ 42 cited

On quadrature rules for solving Partial Differential Equations using Neural Networks

Jon A. Rivera, Jamie M. Taylor, Ángel J. Omella +1

Neural Networks have been widely used to solve Partial Differential Equations. These methods require to approximate definite integrals using quadrature rules. Here, we illustrate v…