Clarkson University researchers have developed an artificial intelligence tool that can uncover the mathematical equations ...

Nvidia introduces Diffusion Nemotron, a 60-billion parameter two-tower AI model that uses parallel block processing to speed up text generation.

A drop of dye added to a glass of water undergoes ordinary diffusion. However, when placed on the surface of a foam, the dye spreads differently—diffusion becomes anomalous. An example of this is the ...

Abstract: Multiplicative noise removal is a challenging task in image processing. Inspired by the impressive performance of nonlinear diffusion models in additive noise removal, we address this ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues. The trajectory of a storm ...

Modeling complex dynamical systems such as the reaction-diffusion processes have largely relied on partial differential equations (PDEs). However, due to insufficient prior knowledge on the concerned ...

Simo Särkkä and Arno Solin (2019). Applied Stochastic Differential Equations. Cambridge University Press. Cambridge, UK. The book can be ordered through Cambridge University Press or, e.g., from ...

Abstract: The streamer discharge physical process can be described by the coupled Poisson’s equation and the convection–diffusion equation. It is a multi-physical field problem involving ...

In this study, finite element and finite difference methods were used for numerical calculations. The law of slurry diffusion in the inclined plane cracks is summarized in this study. Further, the ...