Developing algorithms for solving high-dimensional partial differential equations (PDEs) has been an exceedingly difficult task for a long time, due to the notoriously difficult problem known as the ...

Facebook researchers built a new neural network that can solve complex mathematical equations, even those dealing with calculus. Here's how it works.

Additionally, by combining Porous-DeepONet with DeepM&Mnet to address the challenge of solving multiphysics coupled PNP equations, computation times were dramatically reduced by a factor of 50.

Partial differential equations can describe everything from planetary motion to plate tectonics, but they’re notoriously hard to solve.

Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...