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- Haim Nessyahu, Eitan Tadmor
- 1990

Many of the recently developed high-resolution schemes for hyperbolic conservation laws are based on upwind diierencing. The building block of these schemes is the averaging of an approximate Godunov solver; its time consuming part involves the eld-by-eld decomposition which is required in order to identify the \direction of the wind." Instead, we propose… (More)

- Alexander Kurganov, Eitan Tadmor
- 2000

Central schemes may serve as universal finite-difference methods for solving non-linear convection–diffusion equations in the sense that they are not tied to the specific eigenstructure of the problem, and hence can be implemented in a straightforward manner as black-box solvers for general conservation laws and related equations governing the spontaneous… (More)

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- Eitan Tadmor
- 2003

We study the entropy stability of difference approximations to nonlinear hy-perbolic conservation laws, and related time-dependent problems governed by additional dissipative and dispersive forcing terms. We employ a comparison principle as the main tool for entropy stability analysis, comparing the entropy production of a given scheme against properly… (More)

- Eitan Tadmor
- 1992

Let u(x; t) be the possibly discontinuous entropy solution of a nonlinear scalar conservation law with smooth initial data. Suppose u"(x; t) is the solution of an approximate viscosity regularization, where " > 0 is the small viscosity amplitude. We show that by post-processing the small viscosity approximation u", we can recover pointwise values of u and… (More)

- P L Lions, B Perthame, E Tadmor
- 1993

We consider the 2 x 2 hyperbolic system of isentropic gas dynamics, in both Eulerian or Lagrangian variables (also called the p-system). We show that they can be reformulated as a kinetic equation, using an additional kinetic variable. Such a formulation was first obtained by the authors in the case of multidimensional scalar conservation laws. A new… (More)

The central scheme of Nessyahu and Tadmor [J. 408–463] solves hyperbolic conservation laws on a staggered mesh and avoids solving Riemann problems across cell boundaries. To overcome the difficulty of excessive numerical dissipation for small time steps, the recent work of Kurganov and Tadmor [J. employs a variable control volume, which in turn yields a… (More)

- Steven Schochet, Eitan Tadmor
- 1992

ROSENAO [R] has recently proposed a regularized version of the Chapman-Enskog expansion of hydrodynamics. This regularized expansion resembles the usual Navier-Stokes viscosity terms at low wave numbers, but unlike the latter, it has the advantage of being a bounded macroscopic approximation to the linearized collision operator. In this paper we study the… (More)

- Eitan Tadmor
- 1989

We discuss the convergence of Fourier method for scalar nonlinear conservation laws which exhibit spontaneous shock discontinuities. Numerical tests indicate that the convergence may (and in fact in some cases we prove it must) fail, with or without post-processing of the numerical solution. Instead, we introduce here a new kind of spectrally accurate… (More)

We construct, analyze, and implement a new nonoscillatory high-resolution scheme for two-dimensional hyperbolic conservation laws. The scheme is a predictor-corrector method which consists of two steps: starting with given cell averages, we first predict pointvalues which are based on nonoscillatory piecewise-linear reconstructions from the given cell… (More)