Computer graphics and geometry processing research provide the tools needed to simulate physical phenomena like fire and flames, aiding the creation of visual effects in video games and movies as well ...

Physics-informed neural networks (PINNs) often struggle to solve stiff partial differential equations (PDEs) with moving boundaries, such as convection-dominated droplet drying with shrinking domains ...

Numerical methods for partial differential equations (PDEs) provide systematic frameworks for approximating solutions to mathematical models that describe physical, biological and engineering systems.

Course on using spectral methods to solve partial differential equations. We will cover the exponential convergence of spectral methods for periodic and non-periodic problem, and a general framework ...

OpenAI released its solution to the Navier-Stokes problem. The Millennium Prize’s seven famous mathematical problems offer a ...

Methods for solving linear, ordinary, and partial differential equations of mathematical physics. Green's functions, distribution theory, integral equations, transforms, potential theory, diffusion ...