most citedThree Ways to Solve Partial Differential Equations with Neural Networks -- A Review

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

collaborators

3 papers

math.NA2021★ 2 cited

Three Ways to Solve Partial Differential Equations with Neural Networks -- A Review

Jan Blechschmidt, Oliver G. Ernst

Neural networks are increasingly used to construct numerical solution methods for partial differential equations. In this expository review, we introduce and contrast three importa…

math.NA2019

Error estimation for second-order PDEs in non-variational form

Jan Blechschmidt, Roland Herzog, Max Winkler

Second-order partial differential equations in non-divergence form are considered. Equations of this kind typically arise as subproblems for the solution of Hamilton-Jacobi-Bellman…

cs.LG2019

The Oracle of DLphi

Dominik Alfke, Weston Baines, Jan Blechschmidt +24

We present a novel technique based on deep learning and set theory which yields exceptional classification and prediction results. Having access to a sufficiently large amount of l…