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