A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

Abstract: We proposed an optimisation algorithm based on the sequence-to-sequence (Seq2Seq) stacking of the gate recurrent unit (GRU) model to characterise and approximate the forward problem of ...

Abstract: Partial integral equation (PIE) representation of a partial differential equation (PDE) allows using computationally tractable algorithms for analysis, simulation, and optimal control.

Solving partial differential equations (PDEs) is a required step in the simulation of natural and engineering systems. The associated computational costs significantly increase when exploring various ...

This Hyundai helped change the brand's image. Unfortunately, the world's love for JDM didn't help things, even if it was a ...

To demonstrate its practical application, the code solves a PDE derived from a predator-prey model. This model is renowned for generating solutions that exhibit Turing patterns, which are observed in ...

Learn how concave mirrors form images with a clear, step-by-step explanation that makes the mirror equation easy to understand. This lesson covers ray diagrams, focal length, image position, and ...