Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

Traditional Physics-Informed Neural Networks (PINNs) can approximate solutions to differential equations, but they lack rigorous error bounds. Our Learn and Verify ...

DPM-Solver-v3 is a training-free ODE solver dedicated to fast sampling of diffusion models, equipped with precomputed empirical model statistics (EMS) to boost the convergence speed up to 40%.

Abstract: This paper establishes the non-Fourier heat conduction model to describe the heat transfer process of mono-crystalline silicon under the condition of unstable thermal field and thermal shock ...