This work introduces a model-agnostic framework for training and inference to enable accurate partial differential equation solving (down to double precision) for problems with arbitrary sizes and ...

This repository contains the numerical examples for the paper Prediction error certification for PINNs: Theory, computation, and application to Stokes flow [1]. In ...

Data-driven models that act as surrogates for computationally costly 3D topology optimization techniques are very popular because they help alleviate multiple time-consuming 3D finite element analyses ...

This repository uses differentiable PDE solvers for optimal control problems. Therein, two different approaches are shown: $$\begin{align*} \min_{f^{\text{guess ...

Non-photochemical quenching (NPQ) is a protective mechanism used by plants to safely dissipate excess absorbed light energy as heat, minimizing photo-oxidative damage. Although the importance of NPQ ...

Tidally locked exoplanets have a permanent day side and night side. Understanding the atmospheric circulation on these planets is crucial for interpreting telescope observations and assessing their ...

The Supporting Information is available free of charge on the ACS Publications website at DOI: 10.1021/acs.jpcc.8b04742. Validation of the simulation methods and force fields; comparison of 2D-COFs ...