!!Eitan Tadmor - Selected Publications
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1   E. Tadmor, Convergence of spectral methods for nonlinear conservation laws, SIAM J. Numerical Analysis 26 (1989) 30-44.\\   Here we introduced the Spectral Viscosity (SV) method as a systematic approach for treating shock discontinuities in spectral calculations (cited 459).\\
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2   H. Nessyahu and E. Tadmor, Non-oscillatory central differencing for hyperbolic conservation laws,   J. of Computational Physics 87 (1990) 408-463.\\
This paper introduced the Nessyahu-Tadmor (NT) scheme - the forerunner for the class of high-resolution "central schemes" (cited 1508).\\
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3   P.-L. Lions, B. Perthame and E. Tadmor, A kinetic formulation of multidimensional scalar conservation laws and related equations, J. American Math. Society 7 (1994) 169-191 (cited 581).\\
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4   S. Gottlieb, C.-W. Shu and E. Tadmor, High order time discretization methods with the strong stability property,  SIAM Review 43 (2001) 89-112.\\
We construct, analyze and implement the class of strong stability-preserving (SSP) high-order time discretizations (cited 2225). \\
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5   E. Tadmor,  Entropy stability theory for difference approximations of nonlinear conservation laws and related time dependent problems, Acta Numerica 12 (2003), 451-512.\\
The paper provides a state-of-the-art summary for the body of works during 1987-2007 on the topic of entropy stability (cited  456).\\
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6   E. Tadmor, S. Nezzar and L. Vese, A multiscale image representation using hierarchical (BV,  L^2) decompositions, Multiscale Modeling & Simulation 2 (2004) 554-579.\\
The paper introduces a novel hierarchical decomposition of images, the forerunner of recently developed iteration methods in image processing (cited 244). \\
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7   E. Tadmor and Terence Tao, Velocity averaging, Kinetic formulations and regularizing effects in quasi-linear PDEs, Communications Pure & Applied Mathematics 60 (2007), 1488-1521 (cited 67)\\
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8    S. Motsch and E. Tadmor, New model for self-organized dynamics and its flocking behavior, J. Statistical Physics, 144 (2014), 923-947.\\
The paper introduced the Mostch-Tadmor model (cited 400). \\
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9   U. Fjordholm, R, Kappeli S. Mishra and E. Tadmor, Construction of approximate entropy measure valued solutions for hyperbolic systems of conservation laws. Foundations on Computational Mathematics  17 (2017), 763-827.\\
We present the first detailed numerical procedure which constructs stable approximations to entropy measure valued solutions and provide sufficient conditions of entropic convergence (cited 114).\\
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10   R. Shvydkoy and E. Tadmor, Topologically-based fractional diffusion and emergent dynamics with short-range interactions.
SIMA 52(6) (2020) 5792-5839.\\
We introduce a new class of models for emergent dynamics based on  short-range kernels  adapted to topological neighborhoods, and  prove flocking behavior  via an application of a De Giorgi-type method (cited 18).\\
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__Current bibliometric information:__\\
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__Google Scholar:__  H-index 69, i10-index 156, citations 20,438\\
__Since 2017:__ H-index 38, i10-index 103, citations 7,280\\
__MathSciNet:__ 7,248 citations by 4,054 authors