43 citations · 292 across the 26 of their papers we have counts for
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math.NA2018
Computing the Dirichlet-Neumann Operator on a Cylinder
Saad Qadeer, Jon Wilkening
The computation of the Dirichlet-Neumann operator for the Laplace equation is the primary challenge for the numerical simulation of the ideal fluid equations. The techniques used c…
math.AP2018★ 5 cited
Rigorous Asymptotic Models of Water Waves
C. H. Arthur Cheng, Rafael Granero-Belinchon, Steve Shkoller +1
We develop a rigorous asymptotic derivation for two mathematical models of water waves that capture the full nonlinearity of the Euler equations up to quadratic and cubic interacti…