A new hybrid quantum-classical operator splitting method solves nonlinear parabolic PDEs up to 100 dimensions with provably ...

Uncover the latest and most impactful research in Partial Differential Equations on Manifolds. Explore pioneering discoveries, insightful ideas and new methods from leading researchers in the field.

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 ...

In fields such as physics and engineering, partial differential equations (PDEs) are used to model complex physical processes to generate insight into how some of the most complicated physical and ...

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 ...

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

A partial differential equation (PDE) is a mathematical equation that involves multiple independent variables, an unknown function that is dependent on those variables, and partial derivatives of the ...

In a new SSRN paper, the Abu Dhabi-based quant researcher traces the equations behind modern option pricing back to their ...

In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. Partial Differential Equations (PDEs) ...