Eitan Tadmor Home Page

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. Agi Alipio, 301.405.0652,

    Citations ISIHighlyCited.com list of most cited researchers in mathematics
    Founding Co-Director of the NSF Institute for Pure and Applied mathematics (IPAM) at UCLA
    Research overview Computational Methods in Applied Mathematics 4(3) (2004) 265-270
    Selected talks A list of selected invited addresses
    IMS Public Lecture The Mathematics of Scientific Computation; IMS Interview IMPRINTS June 2005, p.15.
    CentPack:A package of high-resolution central schemes for nonlinear conservation laws
    My lineage

Selected Lectures

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

Numerical Methods for Nonlinear Partial Differential Equations Encyclopedia of Complexity and Systems Science, Springer (2009)
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.
From particle to kinetic and hydrodynamic descriptions of flocking (with S.-Y. Ha) Kinetic and Related Models 1(3) (2008) 415-435.
On the finite time blow-up of the Euler-Poisson equations in Rⁿ (with D. Chae) Communications in Mathematical Sciences, accepted.
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) Preprint
On the global regularity of sub-critical Euler-Poisson equations with pressure (with D. Wei) J. European Math. Society 10 (2008), 757-769.
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.
Entropy stability theory for difference approximations of nonlinear conservation laws and related time dependent problems Acta Numerica 12 (2003), 451-512.

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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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