Grain boundaries are critical to the behavior of polycrystalline materials, governing properties such as strength, stability, and failure. A key lever for tuning these properties is grain boundary ...

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

Common adult length is ~3-5 m; reliably documented giants reach ~5.5 m, with larger lengths sometimes reported but hard to verify.

Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, U.K.

The behavior of many engineering structures, excited from external stresses, is governed by differential equations. We can solve most of these differential equations analytically as long as we ...