The fdaPDE core library is a C++ header-only library for Partial Differential Equation discretization, computational geometry, unconstrained nonlinear optimization, linear algebra and much more.

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. A new ...

For instance, partial saturation of two or more fluid components ... this effective method is that it retains the nonuniform fluid pressure distribution in space; as a result, the wave equation ...

This article introduces and applies new methods to determine the exact solutions of partial differential equations that will increase our understanding of the capabilities of applied models in ...