Reaction-diffusion equations underpin the modelling of a vast array of natural and engineered phenomena, ranging from the spread of invasive species and epidemic outbreaks to phase transitions in ...

SIAM Journal on Applied Mathematics, Vol. 39, No. 2 (Oct., 1980), pp. 272-289 (18 pages) In this paper we consider the determination of an unknown diffusion coefficient in a nonlinear diffusion ...

We study the Bayesian problems of detecting a change in the drift rate of an observable diffusion process with linear and exponential penalty costs for a detection delay. The optimal times of alarms ...

Future iterations of AI-generated art are set to be more realistic thanks to an upcoming version of Stable Diffusion that specifically tackles the problem of depicting fingers and hands. According to ...