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math.ST2017★ 26 cited
On Approximation for Fractional Stochastic Partial Differential Equations on the Sphere
Vo V. Anh, Philip Broadbridge, Andriy Olenko +1
This paper gives the exact solution in terms of the Karhunen-Loève expansion to a fractional stochastic partial differential equation on the unit sphere $\mathbb{S}^{2}\subset \mat…
nlin.SI2017
Integrable Discrete Model for One-dimensional Soil Water Infiltration
Dimetre Triadis, Philip Broadbridge, Kenji Kajiwara +1
We propose an integrable discrete model of one-dimensional soil water infiltration. This model is based on the continuum model by Broadbridge and White, which takes the form of non…