Eitan Tadmor Home Page

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Eitan Tadmor
Distinguished University Professor
Department of Mathematics
Institute for Physical Science & Technology
Director, Center for Scientific Computation and Mathematical Modeling (CSCAMM)


Mail:	CSCAMM, 4149 CSIC Building #406
	Paint Branch Drive
	University of Maryland
	College Park, MD 20742-2389
Tel:	301.405.0648
Fax:	301.314.6674
Email:
Assistant:	Ms. Valerie Lum, 301.405.0652,

A personal view of mathematical research:

I remember being in a hotel room in 1967 ... read more...

Citations ISIHighlyCited.com list of most cited researchers in mathematics • Math SciNet profile ...

Founding Co-Director of the NSF Institute for Pure and Applied mathematics (IPAM) at UCLA

Selected talks: A list of selected invited addresses

Selected references on modern developments of • Entropy stability • Convergence rate • Spectral viscosity

CentPack: A package of high-resolution central schemes for nonlinear conservation laws

NSF Focus Research Group: Kinetic Description of Multiscale Phenomena

Research overview Computational Methods in Applied Mathematics 4(3) (2004) 265-270

IMS Interview IMPRINTS June 2005, p.15.

David Gottlieb's 2008 SIAM J. von Neumann Lecture: The Effect of Local Features on Global Expansions

Selected Lectures

Selected Publications [Complete list of publications] [List of publications by subject classification]

Multiscale image representation using integro-differential equations (with P. Athavale) Inverse Problems and Imaging 3(4) (2009) 693-710.
Constraint preserving schemes using potential-based fluxes. I. Multidimensional transport equations II. Genuinely multi-dimensional central schemes for systems of conservation laws. III. Genuinely multi-dimensional schemes for the MHD equations (with S. Mishra) Preprints.
An improved local blow-up condition for Euler-Poisson equations with attractive forcing (with B. Cheng) Physica D 238 (2009) 2062-2066.
Energy preserving and energy stable schemes for the shallow water equations (with U. Fjordholm & S. Mishra) in "Foundations of Computational Mathematics", Proc. FoCM held in Hong Kong 2008 (F. Cucker, A. Pinkus & M. Todd, eds), London Math. Soc. Lecture Notes Ser. 363, 2009 pp. 93-139.
Global regularity of the 4D Restricted Euler Equations (with H. Liu & D. Wei) Physica D
Energy-preserving and stable approximations for the two-dimensional shallow water equations (with W. Zhong) in "Mathematics and Computation - A Contemporary View", Proc. of the Third Abel Symposium held in Ålesund, Norway May 2006 (H. Munthe-Kaas & B. Owren eds.), Springer 2008, pp. 67-94.
From particle to kinetic and hydrodynamic descriptions of flocking (with S.-Y. Ha) Kinetic and Related Models 1(3) (2008) 415-435.
L² Stability Analysis of the Central Discontinuous Galerkin Method and a Comparison between the Central and Regular Discontinuous Galerkin Methods (with Y.-J. Liu, C.-W. Shu & M. Zhang) M2AN 42 (2008) 593-607 [highlighted paper].
Multiscale hierarchical decomposition of images with applications to deblurring, denoising and segmentation (with S. Nezzar & L.Vese) Communications in Math. Sciences 6(2) (2008) 281-307.
Novel edge detection methods for incomplete and noisy spectral data (with J. Zou) J. Fourier Anal. Applications 14(5) (2008) 744-763.
Recovery of edges from spectral data with noise---a new perspective (with S. Engelberg) SINUM 46(5) (2008), 2620-2635.
Long time existence of smooth solutions for the rapidly rotating shallow-water and Euler equations (with B. Cheng) SIAM J. Math. Anal. 39(5) (2008) 1668-1685.
Filters, mollifiers and the computation of the Gibbs phenomenon Acta Numerica 16 (2007) 305-378.
Central discontinuous Galerkin methods on overlapping cells with a non-oscillatory hierarchical reconstruction (with Y.-J. Liu, C.-W. Shu & M. Zhang) SINUM 45(6) (2007), 2442-2467.
Velocity averaging, kinetic formulations and regularizing effects in quasilinear PDEs (with T. Tao) Communications Pure & Applied Math. 60 (2007), 1488-1521.
On the existence and compactness of a two-dimensional resonant system of conservation laws (with K. Karlsen & M. Rascle) Communications in Math. Sciences 5(2) (2007), 253-265.

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Entropy stability theory for difference approximations of nonlinear conservation laws and related time dependent problems Acta Numerica 12 (2003), 451-512.
Hyperbolic Problems: Theory, Numerics, Applications Proceedings of the Ninth International Conference on Hyperbolic Problems held in CalTech, Pasadena, March 25-29, 2002 (with T. Hou), Springer-Verlag, ISBN: 3-540-44333-9, 2003. Table of content
High resolution methods for time dependent problems with piecewise smooth solutions "International Congress of Mathematicians", Proceedings of the ICM02 Beijing 2002 (Li Tatsien, ed.), Vol. III: Invited lectures, Higher Education Press (2002) 747-757.
On a new scale of regularity spaces with applications to Euler's equations Nonlinearity 14 (2001) 513-532.
Strong stability-preserving high-order time discretization methods (with S. Gottlieb & C.-W. Shu) SIAM Review 43 (2001) 89-112.
New high resolution central schemes for nonlinear conservation laws and convection-diffusion equations (with A. Kurganov) JCP, 160 (2000) 241-282.
Approximate solutions of the incompressible Euler equations with no concentrations (with M. Lopes Filho & H. J. Nussenzveig) Annal. De L'institut Henri Poincare (c) Non Linear Analysis, 17 (2000) 371-412.
Approximate solution of nonlinear conservation laws and related equations "Recent Advances in Partial Differential Equations and Applications" 1996 Venice Conference R. Spigler and S. Venakides eds.), AMS Proc. Symp. Appl. Math. 54 (1998) 325-368.
A kinetic formulation of multidimensional scalar conservation laws and related equations (with P.-L. Lions & B. Perthame) J. Amer. Math. Soc. 7 (1994) 169-191.
On the stability of the unsmoothed Fourier method for hyperbolic equations (with J. Goodman & T. Hou) Numer. Math. 67(1) (1994), 93-129.
Local error estimates for discontinuous solutions of nonlinear hyperbolic equations SINUM 28 (1991) 891-906.
A kinetic equation with kinetic entropy functions for scalar conservation Laws (with B. Perthame) Comm. Math. Phys. 136 (1991) 501-517.
Non-oscillatory central differencing for hyperbolic conservation laws (with H. Nessyahu) JCP 87 (1990) 408-463.
An O(N²) method for computing the eigensystem of N x N symmetric tridiagonal matrices by the divide and conquer approach (with D. Gill) SIAM J. Scientific Computing 11 (1990) 161-173.
Convergence of spectral methods for nonlinear conservation laws SINUM 26 (1989) 30-44.
Numerical viscosity and the entropy condition for conservative difference schemes Math. Comp. 43 (1984) 369-381
The equivalence of L²-stability, the resolvent condition and strict H-stability LAA 41 (1981) 151-159.
Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. II (with M. Goldberg) Math. Comp. 36 (1981) 603-626.

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