We propose and experimentally demonstrate an on-chip silicon photonic differential-equation solver that can be used to solve second-order constant-coefficient ordinary-differential-equations (ODEs).

O penAI's large language model (LLM) ChatGPT is surprisingly good at piloting spacecraft, according to a team that trained it ...

Code associated with the paper: Learning data-driven discretizations for partial differential equations. Yohai Bar-Sinai, Stephan Hoyer, Jason Hickey, Michael P. Brenner. Proceedings of the National ...

R. G. Nascimento, K. Fricke, F. A. C. Viana, " A tutorial on solving ordinary differential equations using Python and hybrid physics-informed neural network," Engineering Applications of Artificial ...

Stuart, C.A. and Zhou, H.S. (1999) Applying the Mountain Pass Theorem to an Asymptotically Linear Elliptic Equation on Rn. Communications in Partial Differential Equations, 24, 1731-1758.

The reconfigurable intelligent surface (RIS) is considered as a promising new technology for reconfiguring wireless communication environments. To acquire the channel information accurately and ...