For the task of solving PDEs, finite difference (FD) methods are particularly easy to implement. Finite element methods are more flexible geometrically, but tend to be difficult to make very accurate.

Numerically solving hyperbolic partial differential equations (PDEs) within domains featuring discontinuous PDE parameters is an important process in a number of scientific fields. Here, we discuss a ...

Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. In high ...