399 citations · 1.2k across the 66 of their papers we have counts for
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math.NA2011★ 69 cited
ENO reconstruction and ENO interpolation are stable
Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor
We prove stability estimates for the ENO reconstruction and ENO interpolation procedures. In particular, we show that the jump of the reconstructed ENO pointvalues at each cell int…
math.AP2011★ 4 cited
A variational representation of weak solutions for the pressureless Euler-Poisson equations
Eitan Tadmor, Dongming Wei
We derive an explicit formula for global weak solutions of the one dimensional system of pressure-less Euler-Poisson equations. Our variational formulation is an extension of the w…
math.AP2011★ 399 cited
A new model for self-organized dynamics and its flocking behavior
Sebastien Motsch, Eitan Tadmor
We introduce a model for self-organized dynamics which, we argue, addresses several drawbacks of the celebrated Cucker-Smale (C-S) model. The proposed model does not only take into…