Loughborough University

output

20022026

most citedA deep convolutional neural network model for rapid prediction of fluvial flood inundation

368 citations

Showing 2014 · math.PRShow all

2 papers · 2 filters

math.PR2014★ 12 cited

On the behaviour of stochastic heat equations on bounded domains

Mohammud Foondun, Eulalia Nualart

Consider the following equation $\partial_{t} u_{t} (x) = \frac{1}{2} \partial_{xx} u_{t} (x) + λσ (u_{t} (x)) W ˙ (t, x)$ on an interval. Under Dirichlet boundary condition, we show that in t…

math.PR2014

Analysis of the gradient of the solution to a stochastic heat equation via fractional Brownian motion

Mohammud Foondun, Davar Khoshnevisan, Pejman Mahboubi

Consider the stochastic partial differential equation $\partial_{t} u = Lu + σ (u) ξ$ , where $ξ$ denotes space-time white noise and $L := - (- Δ)^{α /2}$ denotes the fractional Laplace operat…