This repository implements a Physics-Informed Neural Network (PINN) to solve the 2D wave equation using deep learning. The implementation incorporates physical constraints directly into the loss ...

The numerical results of the polynomial solution of the optimization problem with a free phase are presented. The case of a complex polynomial of the first degree is considered. This polynomial shows ...

The Birkhoff equations for the evolution of vortex sheets are regularized in a way proposed by Krasny. The convergence of numerical approximations to a fixed regularization is studied theoretically ...

Because it's costly and cumbersome to transport large structures such as satellite dishes into space, aerospace Ph.D. student ...

I write about money. I’ve been reviewing tax software and services as a freelancer for PCMag since 1993. Along the way, I took on reviews of other types of business and personal finance technology.

Mathematicians have been mystified by ocean waves for centuries. But new research could be a very large step in the wave prediction world.