Eitan Tadmor

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Eitan Tadmor (* 1954 ) is an Israeli mathematician who deals with numerics and theory of partial differential equations (PDE) and with scientific computing.

Eitan Tadmor, Oberwolfach 2010

life and work

Tadmor attended university courses with Gideon Zwas and Moshe Goldberg as a student in Tel Aviv in the early 1970s, obtained his mathematics diploma in 1975 and received his doctorate in 1978 from the University of Tel Aviv with Saul Abarbanel ( Scheme-Independent Stability Criteria for Difference Approximations to Hyperbolic Initial Boundary Value Systems ). He then worked as a post-doctoral student with Heinz-Otto Kreiss at Caltech and at the ICASE (Institute for Computer Applications in Science and Engineering) at NASA's Langley Research Center . From 1983 to 1998 he was professor at Tel Aviv University and from 1995 at the University of California, Los Angeles , where he was one of the founders and co-directors of the Institute for Pure and Applied Mathematics (IPAM) of the National Science Foundation (2000 / 2001 as director). He is Professor at the University of Maryland at College Park , where he is Director of the Center for Scientific Computation and Mathematical Modeling (CSAMM) and Distinguished University Professor.

In the 1970s he dealt with the stability of various approximation methods for initial value problems of linear multidimensional hyperbolic systems and he introduced numerical viscosity coefficients in finite difference methods and their stability analysis. He worked with Stanley Osher , among others . He also introduced viscosity into spectral methods ( Spectral Viscosity , SV).

Around 1990 he was the first to develop high-resolution non-oscillating methods ( central schemes ) for multidimensional conservation laws (Nessyahu-Tadmor and Kurganov-Tadmor method). They belong to the finite volume method .

With Pierre-Louis Lions and Benoit Perthame , he investigated the relationship between macroscopic equations (such as the Euler equations of hydrodynamics ) and kinetic theory.

With S. Engelberg and H. Liu he found a critical swell behavior in the initial conditions for global regularity of the solutions in hyperbolic-elliptical PDE such as the Euler-Poisson equations, later also found in other equations (such as the Euler equation with Coriolis force, where the rotation prevents the formation of singularities in finite time).

He is a fellow of the American Mathematical Society . He was invited speaker at the International Congress of Mathematicians in Beijing in 2002 (High resolution methods for time dependent problems and piecewise smooth solutions). He gave the DiPerna lecture in 2000 .

Fonts

  • A review of numerical methods for nonlinear partial differential equations. Bulletin AMS, Volume 49, 2012, pp. 507-554.
  • Stability analysis of finite-difference, pseudospectral and Fourier-Galerkin approximations for time-dependent problems. SIAM Rev., 29, 1987, pp. 525-555.
  • Entropy stability theory for reference approximations of nonlinear conservation laws and related time dependent problems , Acta Numerica, 2003, pp. 451-512.

Web links

Individual evidence

  1. ↑ Eitan Tadmor in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Website on this at CSAMM
  3. ↑ Alexander Kurganov, Eitan Tadmor New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection-Diffusion Equations , J. Comp. Phys., 160, 2000, pp. 214-282. The method is a successor to the method proposed by H. Nessyahu and Tadmor in 1990: Non-oscillatory central differencing for hyperbolic conservation laws , J. Comp. Phys., 87, 1990, 408-463
  4. ↑ Engelberg, Liu, Tadberg Critical thresholds in Euler-Poisson equations , Indiana Univ. Math. J., 50, 2001, pp. 109-157
personal data
SURNAME Tadmor, Eitan
BRIEF DESCRIPTION Israeli mathematician
DATE OF BIRTH 1954