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20062012
most citedAn exactly conservative particle method for one dimensional scalar conservation laws

22 citations · 80 across the 17 of their papers we have counts for

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6 papers · 1 filter

math.NA2012

The sound of an evolving floating sculpture

Benjamin Seibold, Yossi Farjoun

Commissioned by MIT's in-house artist Jane Philbrick, we evolve an abstract 2D surface (resembling Marta Pan's 1961 "Sculpture Flottante I") under mean curvature, all the while cal…

math.NA2012

A characteristic particle method for traffic flow simulations on highway networks

Yossi Farjoun, Benjamin Seibold

A characteristic particle method for the simulation of first order macroscopic traffic models on road networks is presented. The approach is based on the method "particleclaw", whi…

math.NA2010★ 2 cited

An exact particle method for scalar conservation laws and its application to stiff reaction kinetics

Yossi Farjoun, Benjamin Seibold

An "exact" method for scalar one-dimensional hyperbolic conservation laws is presented. The approach is based on the evolution of shock particles, separated by local similarity sol…

math.NA2009★ 6 cited

A rarefaction-tracking method for hyperbolic conservation laws

Yossi Farjoun, Benjamin Seibold

We present a numerical method for scalar conservation laws in one space dimension. The solution is approximated by local similarity solutions. While many commonly used approaches a…

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★ 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.…