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Many of the recently developed high-resolution schemes for hyperbolic conservation laws are based on upwind di erencing. The building block of these schemes is the averaging of an approximate Godunovâ€¦ (More)

Central schemes may serve as universal finite-difference methods for solving nonlinear convectionâ€“diffusion equations in the sense that they are not tied to the specific eigenstructure of theâ€¦ (More)

- Sigal Gottlieb, Chi-Wang Shu, Eitan Tadmor
- SIAM Review
- 2001

In this paper we review and further develop a class of strong stability-preserving (SSP) high-order time discretizations for semidiscrete method of lines approximations of partial differentialâ€¦ (More)

- Eitan Tadmor
- 2003

To this end, we introduce general families of entropy-conservative schemes, interesting in their own right. The present treatment of such schemes extends our earlier recipe for construction ofâ€¦ (More)

- Eitan Tadmor
- 2010

Discrete approximations to hyperbolic systems of conservation laws are studied. We quantify the amount of numerical viscosity present in such schemes, and relate it to their entropy stability byâ€¦ (More)

- Eitan Tadmor, Suzanne Nezzar, Luminita A. Vese
- Multiscale Modeling & Simulation
- 2004

We propose a new multiscale image decomposition which offers a hierarchical, adaptive representation for the different features in general images. The starting point is a variational decomposition ofâ€¦ (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 inâ€¦ (More)

- Guang-Shan Jiang, Eitan Tadmor
- SIAM J. Scientific Computing
- 1998

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 twoâ€¦ (More)

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,â€¦ (More)

We report here on our numerical study of the two-dimensional Riemann problem for the compressible Euler equations. Compared with the relatively simple 1-D configurations, the 2-D case consists of aâ€¦ (More)