139 citations · 187 across the 8 of their papers we have counts for
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math.NA2016★ 1 cited
Jump splicing schemes for elliptic interface problems and the incompressible Navier-Stokes equations
Ben Preskill, James A. Sethian
We present a general framework for accurately evaluating finite difference operators in the presence of known discontinuities across an interface. Using these techniques, we develo…
math.NA2003★ 5 cited
Fast algorithms for optimal control, anisotropic front propagation and multiple arrivals
J. A. Sethian
We review some recent work in fast, efficient and accurate methods to compute viscosity solutions and non-viscosity solutions to static Hamilton-Jacobi equations which arise in opt…