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





To download pdf file for faster download of postscript file
Back to Top

The Numerical Radius

  • M. Goldberg, E. Tadmor & G. Zwas
    The numerical radius and spectral matrices
    Linear and Multilinear Algebra 2 (1975), 317-326.

  • M. Goldberg, E. Tadmor & G. Zwas
    Numerical radius of positive matrices
    Linear Algebra and its Applications 12 (1975), 209-214.

  • M. Goldberg & E. Tadmor
    On the numerical radius and its applications
    Linear Algebra and its Applications 42 (1982), 263-284.

  • S. Friedland & E. Tadmor
    Optimality of the Lax-Wendroff condition
    Linear Algebra and its Applications 56 (1984), 121-129.

To download pdf file for faster download of postscript file
Back to Top

Stability and power-boundedness

  • E. Tadmor
    The equivalence of L2-stability, the resolvent condition and strict H-stability
    Linear Algebra and its Applications 41 (1981), 151-159.

  • E. Tadmor
    Complex symmetric matrices with strongly stable iterates
    Linear Algebra and Its Applications 78 (1986), 65-77.

  • E. Tadmor
    The resolvent condition and uniform power-boundedness
    "Haifa Conference on Matrix Theory", Report (A. Berman, Y. Censor and H. Schneider, eds.)
    Linear Algebra and Its Applications
    80 (1986), 250-252.

To download pdf file for faster download of postscript file
Back to Top

Stability of Runge-Kutta schemes

  • D. Levy & E. Tadmor
    From semi-discrete to fully-discrete: stability of Runge-Kutta schemes by the energy method
    SIAM Review 40 (1998) 40-73.

  • S. Gottlieb, C.-W. Shu & E. Tadmor
    Strong stability-preserving high order time discretization methods
    SIAM Review 43 (2001) 89-112.

  • E. Tadmor
    From semi-discrete to fully discrete: stability of Runge-Kutta schemes by the energy method. II
    in ``Collected Lectures on the Preservation of Stability under Discretization'', Lecture Notes from Colorado State University Conference, Fort Collins, CO, 2001 (D. Estep and S. Tavener, eds.) Proceedings in Applied Mathematics 109, SIAM 2002, 25-49.

To download pdf file for faster download of postscript file
Back to Top

Stability of difference and spectral approximations for initial value problems

  • E. Tadmor
    Stability analysis of finite-difference, pseudospectral and Fourier-Galerkin approximations for time-dependent problems
    SIAM Review 29 (1987), 525-555.

  • E. Tadmor
    Spectral methods for hyperbolic problems
    "Methodes numeriques d'ordre eleve pour les ondes en regime transitoire", Lecture notes delivered at Ecole des Ondes, Inria - Rocquencourt January 24-28 (1994).

To download pdf file for faster download of postscript file
Back to Top

Stability of difference approximations for initial-boundary value problems

  • M. Goldberg & E. Tadmor
    Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. I
    Mathematics of Computation 32 (1978), 1097-1107.

  • M. Goldberg & E. Tadmor
    Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. II
    Mathematics of Computation 36 (1981), 603-626.

  • E. Tadmor
    The unconditional instability of inflow-dependent boundary conditions in difference approximations to hyperbolic systems
    "Numerical Boundary Condition Procedures", Proceedings of the 1981 NASA Ames Research Center Symposium on Numerical Boundary Condition Procedures (P. Kutler, ed.), NASA Ames 1982, pp. 323-329.

  • E. Tadmor
    The unconditional instability of inflow-dependent boundary conditions in difference approximations to hyperbolic systems
    Mathematics of Computation 41 (1983), 309-319.

  • M. Goldberg & E. Tadmor
    Convenient stability criteria for difference approximations of hyperbolic initial-boundary value problems
    Mathematics of Computation 44 (1985), 361-377.

  • M. Goldberg & E. Tadmor [MR 87b:65144]
    New stability criteria for difference approximations of hyperbolic initial-boundary value problems
    "Large-Scale Computations in Fluid Mechanics", Lectures in Applied Mathematics, Vol. 22-Part 1 (B. E. Engquist, S. Osher, and R. C. J. Somerville, eds.), American Mathematical Society, Rhode Island, (1985), 177-192.

  • M. Goldberg & E. Tadmor
    Convenient stability criteria for difference approximations of hyperbolic initial-boundary value problems. II
    Mathematics of Computation 48 (1987), 503-520.

  • M. Goldberg E. Tadmor [MR 991363]
    Simple stability criteria for difference approximations of hyperbolic initial-boundary value problems
    "Nonlinear Hyperbolic Equations - Theory, Computation Methods, and Applications", Proceedings of the Second International Conference on Nonlinear Hyperbolic Problems, Notes on Numerical Fluid Mechanics, Vol. 24 (J. Ballmann and R. Jeltsch eds.), Vieweg Verlag (1988), 179-185.

To download pdf file for faster download of postscript file
Back to Top

Hyperbolic problems. Systems with different time scales

  • E. Tadmor [MR 84i:35097]
    Hyperbolic systems with different time scales
    Communications on Pure and Applied Mathematics 35 (1982), 839-866.

  • T. Hou & E. Tadmor [Springer online catalogue] [Table of content]
    Hyperbolic Problems: Theory, Numerics, Applications
    Proceedings of the Ninth International Conference on Hyperbolic Problems held in CalTech, Pasadena, March 25-29, 2002, Springer-Verlag (2003) ISBN: 3-540-44333-9.

To download pdf file for faster download of postscript file
Back to Top

Convection diffusion problems. Regularity and homogenization

  • E. Tadmor
    The well-posedness of the Kuramoto-Sivashinsky equation
    SIAM Journal on Mathematical Analysis 17 (1986), 884-893.

  • E. Tadmor & T. Tassa
    On the homogenization of oscillatory solutions to scalar convection-diffusion equations
    Advances in Mathematical Sciences and Applications 7(1) (1997), 93-117.

  • E. Tadmor
    Burgers' equation with vanishing hyper-viscosity
    Communications in Math. Sciences 2 (2), (2004) 317-324.

To download pdf file for faster download of postscript file
Back to Top

Incompressible Euler and related equations

  • M. Lopes Filho, H. J. Nussenzveig & E. Tadmor
    Approximate solutios of the incompressible Euler equations with no concentrations
    Annales De L'institut Henri Poincare (c) Non Linear Analysis 17 (2000), 371-412.

  • E. Tadmor
    On a new scale of regularity spaces with applications to Euler's equations
    Nonlinearity 14 (2001), 513-532.

To download pdf file for faster download of postscript file
Back to Top

Critical threshold phenomena in Euler dynamics

  • S. Engelberg, H. Liu & E. Tadmor
    Critical thresholds in Euler-Poisson equations
    Indiana University Math journal  50 (2001), 109-157..

  • H. Liu & E. Tadmor
    Critical thresholds in a convolution model for nonlinear conservation laws
    SIAM Journal on Mathematical Analysis 33 (2001), 930-945.

  • H. Liu & E. Tadmor
    Spectral dynamics of the velocity gradient field in restricted flows
    Communications in Mathematical Physics 228 (2002), 435-466.

  • H. Liu & E. Tadmor
    Semi-classical limit of the nonlinear Schrödinger-Poisson equation with sub-critical initial data
    Methods and Applications in Analysis 9(4) (2002), 517-532.

  • H. Liu & E. Tadmor
    Critical thresholds in 2D restricted Euler-Poisson equations
    SIAM Journal of Applied Mathematics63 (2003) 1889-1910.

  • H. Liu & E. Tadmor
    Critical thresholds and conditional stability for Euler equations and related models
    ``Hyperbolic Problems: Theory, Numerics, Applications'',
    Proceedings of the 9th International Conference in Pasadena, Mar. 2002 (T. Hou and E. Tadmor, eds.), Springer, 2003, pp. 227-240.

  • H. Liu & E. Tadmor
    Rotation prevents finite-time breakdown
    Physica D 188 (2004) 262-276.

  • E. Tadmor & D. Wei
    On the global regularity of sub-critical Euler-Poisson equations with pressure
    Journal of the European Mathematical Society, accepted

  • B. Cheng & E. Tadmor
    Long time existence of smooth solutions for the rapidly rotating shallow-water and Euler equations
    SIAM Journal on Mathematical Analysis 39(5) (2008) 1668-1685.

To download pdf file for faster download of postscript file
Back to Top

Nonlinear conservation laws. Entropy and regularity

  • E. Tadmor
    A minimum entropy principle in the gas dynamics equations
    Applied Numerical Mathematics 2 (1986), 211-219.

  • E. Tadmor [Abstract]
    Entropy functions for symmetric systems of conservation laws
    Journal of Mathematical Analysis and Applications 122(2) (1987), 355-359.

  • E. Tadmor & T. Tassa
    On the piecewise regularity of entropy solutions to scalar conservation laws
    Communications on Partial Differential Equations 18 (1993), 1631-1652.

  • E. Tadmor, M. Rascle & P. Bagnerini
    Compensated compactness for 2D conservation laws
    Journal of Hyperbolic Differential Equations 2(3) (2005) 697-712.

  • K. Karlsen, M. Rascle & E. Tadmor
    On the existence and compactness of a two-dimensional resonant system of conservation laws
    Communications in Mathematical Sciences 5(2) (2007) 253-265.

To download pdf file for faster download of postscript file
Back to Top

Kinetic formulations of nonlinear conservation laws and related equations

  • B. Perthame & E. Tadmor
    A kinetic equation with kinetic entropy functions for scalar conservation Laws
    Communications in Mathematical Physics, 136 (1991), 501-517.

  • P.-L. Lions, B. Perthame & E. Tadmor [MR 91k:35156]
    Formulation cinetique des lois de conservation scalaires multidimensionelles
    Comptes Rendus de l'Academie des Sciences, Paris, Serie I (1991), 97-102.

  • S. Schochet & E. Tadmor
    Regularized Chapman-Enskog expansion for scalar conservation laws
    Archive for Rational Mechanics and Analysis 119 (1992), 95-107.

  • P.-L. Lions, P. Perthame & E. Tadmor
    A kinetic formulation of multidimensional scalar conservation laws and related equations
    Journal of the American Mathematical Society 7 (1994), 169-191.

  • P.-L. Lions, P. Perthame & E. Tadmor
    Kinetic formulation of the isentropic gas dynamics and p-systems
    Communications in Mathematical Physics 163 (1994), 415-431.

  • E. Tadmor & T. Tao
    Velocity averaging, kinetic formulations and regularizing effects in quasilinear PDEs
    Communications on Pure & Applied Mathematics 60 (2007), 1488-1521.

To download pdf file for faster download of postscript file
Back to Top

Approximate methods for nonlinear conservation laws. Reviews

  • E. Tadmor
    Approximate solution of nonlinear conservation laws and related equations
    "Recent Advances in Partial Differential Equations and Applications" Proceedings of the 1996 Venice Conference in honor of Peter D. Lax and Louis Nirenberg on their 70th Birthday (R. Spigler and S. Venakides eds.), AMS Proceedings of Symposia in Applied Mathematics, 54 (1998) 325-368.

  • E. Tadmor [html file]
    Approximate solutions of nonlinear conservation laws
    "Advanced Numerical Approximation of Nonlinear Hyperbolic Equations" C.I.M.E. course in Cetraro, Italy, June 1997 (A. Quarteroni ed.), Lecture notes in Mathematics 1697, Springer Verlag, (1998) 1-149.

  • E. Tadmor
    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.

  • E. Tadmor
    Entropy stability theory for difference approximations of nonlinear conservation laws and related time dependent problems
    Acta Numerica v. 12 (2003), 451-512.

To download pdf file for faster download of postscript file
Back to Top

Finite difference approximations. Total-variation and entropy stability

  • E. Tadmor
    The large-time behavior of the scalar, genuinely nonlinear Lax-Friedrichs scheme
    Mathematics of Computation 43 (1984), 353-368.

  • E. Tadmor
    Numerical viscosity and the entropy condition for conservative difference schemes
    Mathematics of Computation 43 (1984), 369-381.

  • E. Tadmor [MR 86c: 35100] [Abstract]
    Skew self-adjoint form for systems of conservation laws
    Journal of Mathematical Analysis and Applications 103(2) (1984) 428-442.

  • E. Tadmor
    Entropy conservative finite element schemes
    "Numerical Methods for Compressible Flows - Finite Difference Element and Volume Techniques", Proceedings of the winter annual meeting of the American Society of Mechanical Engineering AMD-Vol. 78 (T. E. Tezduyar and T.J.R. Hughes, eds.) (1986), 149-158.

  • E. Tadmor
    The numerical viscosity of entropy stable schemes for systems of conservation laws. I.
    Mathematics of Computation 49 (1987), 91-103.

  • E. Tadmor [MR 88i:65111]
    The entropy dissipation by numerical viscosity in nonlinear conservative difference schemes
    "Nonlinear Hyperbolic Problems", Proceedings of a 1986 Advanced Research Workshop, Lecture Notes in Mathematics, Vol. 1270 (C. Carasso, P.-A. Raviart and D. Serre, eds.), Springer-Verlag (1987), 52-63.

  • S. Osher & E. Tadmor
    On the convergence of difference approximations to scalar conservation laws
    Mathematics of Computation 50 (1988), 19-51.

  • E. Tadmor
    Convenient total variation diminishing conditions for nonlinear difference schemes
    SIAM Journal on Numerical Analysis 25 (1988), 1002-1014.

  • E. Tadmor
    On the entropy stability of difference schemes: a comparison principle and a homotopy approach
    ``Hyperbolic Problems: Theory, Numerics, Applications'', vol. I., Proceedings of the 10th International Conference, Osaka, Sep. 2004 (F. Asukura, H. Aiso, S. Kawashima, A. Matsumura, S. Nishibata & K. Nishihara, eds.), Yokohama Publishers, 2006 pp. 195-204.

  • E. Tadmor & W. Zhong
    Entropy stable approximations of Navier-Stokes equations with no artificial numerical viscosity
    J. of Hyperbolic Differential Equations 3(3) (2006) 529-559.

  • E. Tadmor & W. Zhong
    Novel entropy stable schemes for 1D and 2D fluid equations
    in ``Hyperbolic Problems: Theory, Numerics, Applications'',
    Proceedings of the 11th International Conference in Lyon, July 2006 (S. Benzoni-Gavage and D. Serre, eds.), Springer 2007, pp. 1111-1120.

  • E. Tadmor & W. Zhong
    Energy-preserving and stable approximations for the two-dimensional shallow water equations
    preprint

To download pdf file for faster download of postscript file
Back to Top

Approximation of nonlinear conservation laws. Convergence rate estimates

  • E. Tadmor
    Local error estimates for discontinuous solutions of nonlinear hyperbolic equations
    SIAM Journal on Numerical Analysis, 28 (1991), 891-906.

  • H. Nessyahu & E. Tadmor
    The convergence rate of approximate solutions for nonlinear scalar conservation laws
    SIAM Journal on Numerical Analysis, 29 (1992), 1505-1519.

  • H. Nessyahu, E. Tadmor & T. Tassa
    The convergence rate of Godunov type schemes
    SIAM Journal on Numerical Analysis, 31 (1994), 1-16.

  • A. Kurganov & E. Tadmor
    Stiff systems of hyperbolic conservation laws: convergence and error estimates
    SIAM Journal on Mathematical Analysis, 28 (1997) 1446-1456.

  • E. Tadmor & T. Tang
    Pointwise error estimates for scalar conservation laws with piecewise smooth solutions
    SIAM Journal on Numerical Analysis 36 (1999) 1739-1756.

  • E. Tadmor & T. Tang
    Pointwise convergence rate for nonlinear conservation laws
    ``Hyperbolic Problems: Theory, Numerics, Applications'', Proceedings of the 7 th International Conference in Zurich, Feb. 1998 (M. Fey and R. Jeltsch, eds.), Int'l Series Numer. Math., Vol. 130, Birkhauser, 1999, 925-934.

  • C.-T. Lin & E. Tadmor
    L1-stability and error estimates for approximate Hamilton-Jacobi solutions
    Numerische Mathematik 87 (2001) 701-735.

  • E. Tadmor & T. Tang
    Pointwise error estimates for relaxation approximations to conservation laws
    SIAM Journal on Mathematical Analysis 32 (2001), 870-886.

To download pdf file for faster download of postscript file
Back to Top

Non-oscillatory central schemes. I. Nonlinear conservation laws

  • H. Nessyahu & E. Tadmor
    Non-oscillatory central differencing for hyperbolic conservation laws
    Journal of Computational Physics 87 (1990), 408-463.

  • X-D. Liu & E. Tadmor
    Third order nonoscillatory central scheme for hyperbolic conservation laws
    Numerische Mathematik 79 (1998), 397-425.

  • G.-S. Jiang & E. Tadmor
    Non-oscillatory central schemes for multidimensional hyperbolic conservation laws
    SIAM Journal on Scientific Computing 19 (1998), 1892-1917.

  • D. Levy & E. Tadmor
    Non-oscillatory boundary treatment for staggered central schemes

  • G.-S. Jiang, D. Levy, C.-T. Lin, S. Osher & E. Tadmor
    High-resolution non-oscillatory central schemes with non-staggered grids for hyperbolic conservation laws
    SIAM Journal on Numerical Analysis, 35 (1998) 2147-2168.

  • A. Kurganov & E. Tadmor
    New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
    Journal of Computational Physics, 160 (2000) 214-282.

  • A. Kurganov & E. Tadmor
    Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
    Numerical Methods for Partial Differential Equations, 18 (2002) 548-608.

  • J. Balbas, E. Tadmor, & C.-C. Wu  [Numerical simulations]
    Non-oscillatory central schemes for one- and two-dimensional MHD equations
    Journal of Computational Physics 201 (2004) 261-285.
     
  • J. Balbas & E. Tadmor 
    A central differencing simulation of the Orszag-Tang vortex system
    IEEE Transactions on Plasma Science, The 4th Triennial Special Issue on Images in Plasma Science 33(2) (2005) 470-471.
     
  • J. Balbas & E. Tadmor 
    Non-oscillatory central schemes for one- and two-dimensional MHD equations. II: high-order semi-discrete schemes
    SIAM Journal on Scientific Computing 28 (2006) 533-560.
     
  • Y.-J. Liu, C.-W. Shu, E. Tadmor  & M. Zhang
    Central discontinuous Galerkin methods on overlapping cells with a non-oscillatory hierarchical reconstruction
    SIAM Jounrnal on Numerical Analysis 45(6) (2007) 2442-2467.
  • Y.-J. Liu, C.-W. Shu, E. Tadmor  & M. Zhang
    Non-Oscillatory hierarchical reconstruction for central and finite volume schemes
    Communications in Computational Physics 2(5) (2007) 933-963.
  • Y.-J. Liu, C.-W. Shu, E. Tadmor  & M. Zhang
    L2-stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods
    Preprint

     

To download pdf file for faster download of postscript file
Back to Top

Non-oscillatory central schemes. II. Incompressible Euler equations

  • R. Kupferman & E. Tadmor
    A fast high-resolution second-order central scheme for incompressible flows
    Proceedings of the National Academy of Sciences 94 (1997) 4848-4852.

  • D. Levy & E. Tadmor, reprint with embedded figures: , preprint with original figures:
    Non-oscillatory central schemes for the incompressible 2-D Euler equations
    Mathematical Research Letters, 4(3) (1997) 321-340.

To download pdf file for faster download of postscript file
Back to Top

Non-oscillatory central schemes. III. Hamilton-Jacobi equations

  • C.-T. Lin & E. Tadmor
    L1-stability and error estimates for approximate Hamilton-Jacobi solutions
    Numerische Mathematik 87 (2001) 701-735.

  • C.-T. Lin & E. Tadmor
    High-resolution non-oscillatory central scheme for Hamilton-Jacobi equations
    SIAM Journal on Scientific Computation 21 (2000) 2163-2186.

  • A. Kurganov & E. Tadmor
    New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations
    Journal of Computational Physics 160 (2000) 720-742.

To download pdf file for faster download of postscript file
Back to Top

Spectral recovery and detection of edges in spectral data

  • D. Gottlieb & E. Tadmor [MR 90a:65041]
    Recovering pointwise values of discontinuous data within spectral accuracy
    "Progress and Supercomputing in Computational Fluid Dynamics", Proceedings of a 1984 U.S.-Israel Workshop, Progress in Scientific Computing, Vol. 6 (E. M. Murman and S. S. Abarbanel, eds.), Birkhauser, Boston (1985), 357-375.

  • E. Tadmor
    The exponential accuracy of Fourier and Chebyshev differencing methods
    SIAM Journal on Numerical Analysis 23 (1986), 1-10.

  • S. Abarbanel, D. Gottlieb & E. Tadmor (1986)
    Spectral methods for discontinuous problems
    "Numerical Methods for Fluid Dynamics II", Proceedings of the 1985 Conference on Numerical Methods for Fluid Dynamics (K. W. Morton and M. J. Baines, eds.), Clarendon Press, Oxford (1986), 129-153.

  • A. Gelb & E. Tadmor
    Detection of edges in spectral data
    Applied and Computational Harmonic Analysis 7 (1999) 101-135.

  • A. Gelb & E. Tadmor
    Detection of edges in spectral data II. Nonlinear enhancement
    SIAM Journal on Mumerical Analysis 38 (2000), 1389-1408.

  • E. Tadmor & J. Tanner
    Adaptive mollifiers -- high resolution recovery of piecewise smooth data from its spectral information
    Foundations of Computational Mathematics 2(2) (2002) 155-189.

  • A. Gelb & E. Tadmor
    Spectral reconstruction of one- and two-dimensional piecewise smooth functions from their discrete data
    Mathematical Modeling and Numerical Analysis 36 (2002) 155-175.

  • E. Tadmor & J. Tanner
    An adaptive order Godunov type central scheme
    ``Hyperbolic Problems: Theory, Numerics, Applications'',
    Proceedings of the 9th International Conference in Pasadena, Mar. 2002 (T. Hou and E. Tadmor, eds.), Springer, 2003, pp. 871-880.

  • E. Tadmor & J. Tanner
    Adaptive filters for piecewise smooth spectral data
    IMA Journal of Numerical Analysis 25(4) (2005) 635-647.

  • A. Gelb & E. Tadmor
    Adaptive edge detectors for piecewise smooth data based on the minmod limiter
    Journal of Scientific Computing 28(2-3) (2006) 279-306.

  • E. Tadmor
    Filters, mollifiers and the computation of the Gibbs phenomenon
    Acta Numerica 16 (2007) 305-378.

  • S. Engelberg & E. Tadmor
    Recovery of edges from spectral data with noise---a new perspective
    Preprint

  • E. Tadmor & J. Zou
    Novel edge detection methods for incomplete and noisy spectral data
    Preprint

To download pdf file for faster download of postscript file
Back to Top

Stability and convergence of spectral methods

  • D. Gottlieb, L. Lustman & E. Tadmor
    Stability analysis of spectral methods for hyperbolic initial-boundary value systems
    SIAM Journal on Numerical Analysis 24 (1987), 241-256.

  • D. Gottlieb, L. Lustman & E. Tadmor
    Convergence of spectral methods for hyperbolic initial-boundary value systems
    SIAM Journal on Numerical Analysis 24 (1987), 532-537.

  • D. Gottlieb & E. Tadmor
    The CFL condition for spectral approximations to hyperbolic initial-boundary value problems
    Mathematics of Computation 56 (1991), 565-588.

  • J. Goodman, T. Hou & E. Tadmor
    On the stability of the unsmoothed Fourier method for hyperbolic equations
    Numerische Mathematik 67(1) (1994), 93-129.

To download pdf file for faster download of postscript file
Back to Top

Spectral viscosity approximations

  • E. Tadmor
    Convergence of spectral methods for nonlinear conservation laws
    SIAM Journal on Numerical Analysis 26 (1989), 30-44.

  • E. Tadmor
    Convergence of the spectral viscosity method for nonlinear conservation laws
    "11th International Conference on Numerical Methods in Fluid Dynamics", Lecture Notes in Physics, Vol. 323 (D. L. Dwoyer, M. Y. Hussaini, and R. G. Voigt, eds.), Springer-Verlag (1989), 548-552.

  • Y. Maday & E. Tadmor
    Analysis of the spectral vanishing viscosity method for periodic conservation laws
    SIAM Journal on Numerical analysis 26 (1989), 854-870.

  • E. Tadmor
    Shock capturing by the spectral viscosity method
    "Spectral and High Order Methods for Partial Differential Equations", Como, 1989
    Computer Methods in Applied Mechanics and Engineering
    78 (1990), 197-208.

  • E. Tadmor [MR 92b:65076]
    Essentially non-oscillatory spectral viscosity approximations
    "Hyperbolic Problems - Theory, Numerical Methods and Applications", Proceedings of the 3rd International Conference on Hyperbolic Problems, Vol. II (B. Engquist and B. Gustafsson, eds.), Studentlitteratur and Chartwell-Bratt (1991), 861-873.

  • Y. Maday, S. M. Ould Kaber & E. Tadmor
    Legendre pseudospectral viscosity method for nonlinear conservation laws
    SIAM Journal on Numerical Analysis 30 (1993), 321-342.

  • E. Tadmor
    Total-variation and error estimates for spectral viscosity approximations
    Mathematics of Computation 60 (1993), 245-256.

  • E. Tadmor
    Super viscosity and spectral approximations of nonlinear conservation laws
    "Numerical Methods for Fluid Dynamics IV", Proceedings of the 1992 Conference on Numerical Methods for Fluid Dynamics, (M. J. Baines and K. W. Morton, eds.), Clarendon Press, Oxford 1993, pp. 69-82.

  • G.-Q. Chen, Q. Du & E. Tadmor
    Spectral viscosity approximations to multidimensional scalar conservation laws
    Mathematics of Computation 61 (1993), 629-643.

  • A. Gelb & E. Tadmor
    Enhanced spectral viscosity approximations for conservation laws
    Applied Numerical Mathematics 33 (2000), 3-21.

  • B.-Y. Guo, H.-P. Ma & E. Tadmor
    Spectral vanishing viscosity method for nonlinear conservation laws
    SIAM Journal on Numerical Analysis 39 (2001), 1254-1268.

To download pdf file for faster download of postscript file
Back to Top

Image processing. Multiscale representations

  • E. Tadmor, S. Nezzar & L. Vese
    A multiscale image representation using hierarchical (BV,L2) decompositions
    Multiscale Modeling and Simulations 2(4) (2004) 554-579.

  • E. Tadmor, S. Nezzar & L. Vese
    Multiscale hierarchical decomposition of images with applications to deblurring, denoising and segmentation
    Communications in Mathematical Sceinces 6(2) (2008).

To download pdf file for faster download of postscript file
Back to Top

Eigensolvers. The divide and conquer method

  • D. Gill & E. Tadmor
    An O(N2) method for computing the eigensystem of N x N symmetric tridiagonal matrices by the divide and conquer approach; Short communication
    Linear Algebra and its Applications 120, (1989), 257-258 .

  • D. Gill & E. Tadmor
    An O(N2) method for computing the eigensystem of N x N symmetric tridiagonal matrices by the divide and conquer approach
    SIAM Journal on Scientific and Statistical Computing 11 (1990), 161-173.