1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.NA2023
A Shape-Newton Method for Free-boundary Problems Subject to The Bernoulli Boundary Condition
Yiyun Fan, John Billingham, Kristoffer van der Zee
We develop a shape-Newton method for solving generic free-boundary problems where one of the free-boundary conditions is governed by the Bernoulli equation. The Newton-like scheme…
math.AP2023★ 1 cited
The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 2. The Cauchy problem on a finite interval
D. J. Needham, J. Billingham
In the second part of this series of papers, we address the same Cauchy problem that was considered in part 1, namely the nonlocal Fisher-KPP equation in one spatial dimension, \[…
math.AP2023
The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line
D. J. Needham, J. Billingham, N. M. Ladas +1
We study the Cauchy problem on the real line for the nonlocal Fisher-KPP equation in one spatial dimension, \[ u_t = D u_{xx} + u(1-ϕ*u), \] where is a spatial convolution wi…