most citedThe evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 2. The Cauchy problem on a finite interval

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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…