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.

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.

Deep learning to solve forward-backward stochastic differential equations Pricing vanilla and exotic options with a deep learning approach for PDEs ...

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 ...