35 citations · 94 across the 7 of their papers we have counts for
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math.AP2015★ 35 cited
The Linear KdV Equation with an Interface
Bernard Deconinck, Natalie E. Sheils, David A. Smith
The interface problem for the linear Korteweg-de Vries (KdV) equation in one-dimensional piecewise homogeneous domains is examined by constructing an explicit solution in each doma…
math.AP2015★ 26 cited
Heat equation on a network using the Fokas method
N. E. Sheils, D. A. Smith
The problem of heat conduction on networks of multiply connected rods is solved by providing an explicit solution of the one-dimensional heat equation in each domain. The size and…