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 ...

Elliptic and parabolic partial differential equations form the mathematical backbone of phenomena ranging from steady-state heat conduction and electrostatics to time-dependent diffusion and fluid ...

Controllability of parabolic partial differential equations concerns the capacity to guide the evolution of diffusion-type systems—such as heat flow or chemical concentration—towards a desired state ...

We consider the Heston model as an example of a parameterized parabolic partial differential equation. A space-time variational formulation is derived that allows for parameters in the coefficients ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...