814 citations · 2k across the 47 of their papers we have counts for
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math.NA2008★ 22 cited
An exactly conservative particle method for one dimensional scalar conservation laws
Yossi Farjoun, Benjamin Seibold
A particle scheme for scalar conservation laws in one space dimension is presented. Particles representing the solution are moved according to their characteristic velocities. Part…
math.NA2008★ 49 cited
Minimal positive stencils in meshfree finite difference methods for the Poisson equation
Benjamin Seibold
Meshfree finite difference methods for the Poisson equation approximate the Laplace operator on a point cloud. Desirable are positive stencils, i.e. all neighbor entries are of the…
math.NA2008★ 8 cited
Solving One Dimensional Scalar Conservation Laws by Particle Management
Yossi Farjoun, Benjamin Seibold
We present a meshfree numerical solver for scalar conservation laws in one space dimension. Points representing the solution are moved according to their characteristic velocities.…