Eitan Tadmor: List of Publications (General Listing)

List of publications [by chronological order] Other lists of publications: [by subject classification] [selected] [significant ] [my ArXiv publications]
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[1975-1980] [1981-1985] [1986-1990] [1991-1995] [1996-2000] [2001-2005] [2006-2010] [2011-2015] [2016-2020] [2021-2025]

1975 - 1980	Back to Top
M. Goldberg, E. Tadmor & G. Zwas (1975) The numerical radius and spectral matrices Linear and Multilinear Algebra 2 (1975), 317-326. M. Goldberg, E. Tadmor & G. Zwas (1975) Numerical radius of positive matrices Linear Algebra and its Applications 12 (1975), 209-214. M. Goldberg & E. Tadmor (1978) 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 (1978) Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. II Mathematics of Computation 36 (1981), 603-626.
1981 - 1985	Back to Top
E. Tadmor (1981) The equivalence of L²-stability, the resolvent condition and strict H-stability Linear Algebra and its Applications 41 (1981), 151-159. M. Goldberg & E. Tadmor (1982) On the numerical radius and its applications Linear Algebra and its Applications 42 (1982), 263-284. E. Tadmor (1982) 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) 323-332. E. Tadmor (1982) Hyperbolic systems with different time scales Communications on Pure and Applied Mathematics 35 (1982), 839-866. E. Tadmor (1983) The unconditional instability of inflow-dependent boundary conditions in difference approximations to hyperbolic systems Mathematics of Computation 41 (1983), 309-319. S. Friedland & E. Tadmor (1984) Optimality of the Lax-Wendroff condition Linear Algebra and its Applications 56 (1984), 121-129. E. Tadmor (1984) Skew selfadjoint form for systems of conservation laws Journal of Mathematical Analysis and Applications 103(2) (1984), 428-442. E. Tadmor (1984) The large-time behavior of the scalar, genuinely nonlinear Lax-Friedrichs scheme Mathematics of Computation 43 (1984), 353-368. E. Tadmor (1984) Numerical viscosity and the entropy condition for conservative difference schemes Mathematics of Computation 43 (1984), 369-381 M. Goldberg & E. Tadmor (1985) Convenient stability criteria for difference approximations of hyperbolic initial-boundary value problems Mathematics of Computation 44 (1985), 361-377. D. Gottlieb & E. Tadmor (1985) 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 [SIAM Rev 28(4) 1986] M. Goldberg & E. Tadmor (1985) New stability criteria for difference approximations of hyperbolic initial-boundary value problems ``Large-Scale Computations in Fluid Mechanics'', Proceedings of the 15^th AMS-SIAM Summer seminar on Applied Mathematics held in Scripps Institution, San Diego, 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.
1986 - 1990	Back to Top
E. Tadmor (1986) The exponential accuracy of Fourier and Chebyshev differencing methods SIAM Journal on Numerical Analysis 23 (1986), 1-10. E. Tadmor (1986) The well-posedness of the Kuramoto-Sivashinsky equation SIAM Journal on Mathematical Analysis 17 (1986), 884-893. 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. E. Tadmor (1986) Complex symmetric matrices with strongly stable iterates Linear Algebra and Its Applications 78 (1986), 65-77. E. Tadmor (1986) 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. E. Tadmor (1986) A minimum entropy principle in the gas dynamics equations Applied Numerical Mathematics 2 (1986), 211-219. E. Tadmor (1986) 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 (T. E. Tezduyar and T.J.R. Hughes, eds.), AMD-Vol. 78 (1986), 149-158. E. Tadmor (1987) Entropy functions for symmetric systems of conservation laws Journal of Mathematical Analysis and Applications 122(2) (1987), 355-359. M. Goldberg & E. Tadmor (1987) Convenient stability criteria for difference approximations of hyperbolic initial-boundary value problems. II Mathematics of Computation 48 (1987), 503-520. D. Gottlieb, L. Lustman & E. Tadmor (1987) 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 (1987) Convergence of spectral methods for hyperbolic initial-boundary value systems SIAM Journal on Numerical Analysis 24 (1987), 532-537. E. Tadmor (1987) The numerical viscosity of entropy stable schemes for systems of conservation laws. I. Mathematics of Computation 49 (1987), 91-103. E. Tadmor (1987) 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, pp. 52-63. E. Tadmor (1987) Stability analysis of finite-difference, pseudospectral and Fourier-Galerkin approximations for time-dependent problems SIAM Review 29 (1987), 525-555. S. Osher & E. Tadmor (1988) On the convergence of difference approximations to scalar conservation laws Mathematics of Computation 50 (1988), 19-51. E. Tadmor (1988) Convenient total variation diminishing conditions for nonlinear difference schemes SIAM Journal on Numerical Analysis 25 (1988), 1002-1014. M. Goldberg & E. Tadmor (1988) Simple stability criteria for difference approximations of hyperbolic initial-boundary value problems ``Nonlinear Hyperbolic Equations - Theory, Computation Methods, and Applications", Proceedings of the 2^nd International Conference on Nonlinear Hyperbolic Problems, Notes on Numerical Fluid Mechanics, Vol. 24 (J. Ballmann and R. Jeltsch eds.), Vieweg Verlag (1988), 179-185. E. Tadmor (1989) Convergence of spectral methods for nonlinear conservation laws SIAM Journal on Numerical Analysis 26 (1989), 30-44. E. Tadmor (1989) 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 (1989) Analysis of the spectral vanishing method for periodic conservation laws SIAM Journal on Numerical Analysis 26 (1989), 854-870. D. Gill & E. Tadmor (1990) An O(N²) method for computing the eigensystem of N x N symmetric tri-diagonal matrices by the divide and conquer approach SIAM Journal on Scientific and Statistical Computing 11 (1990), 161-173. H. Nessyahu & E. Tadmor (1990) Non-oscillatory central differencing for hyperbolic conservation laws Journal of Computational Physics 87 (1990), 408-463. E. Tadmor (1990) Shock capturing by the spectral viscosity method ``Spcetral and High Order Methods for Partial Differential Equations", Proceedings of the ICOSAHOM 1989 Conference held in Como, Italy, June 1989 (C. Canuto and A. Quarteroni, eds) North-Holland (1990) 197-208. E. Tadmor (1990) Shock capturing by the spectral viscosity method Computer Methods in Applied Mechanics and Engineering 78 (1990), 197-208.
1991 - 1995	Back to Top
P.-L. Lions, B. Perthame & E. Tadmor (1991) Formulation cinétique des Lois de conservation scalaires Multidimensionelles Comptes Rendus de l'Académie des Sciences, Paris, 312, Série I (1991), 97-102. E. Tadmor (1991) Essentially non-oscillatory spectral viscosity approximations ``Hyperbolic Problems - Theory, Numerical Methods and Applications", Proceedings of the 3^rd International Conference on Hyperbolic Problems, Vol. II (B. Engquist and B. Gustafsson, eds.), Studentlitteratur and Chartwell-Bratt (1991), 861-873. B. Perthame & E. Tadmor (1991) A kinetic equation with kinetic entropy functions for scalar conservation Laws Communications in Mathematical Physics 136 (1991), 501-517. D. Gottlieb & E. Tadmor (1991) The CFL condition for spectral approximations to hyperbolic initial-boundary value problems Mathematics of Computation 56 (1991), 565-588. E. Tadmor (1991) Local error estimates for discontinuous solutions of nonlinear hyperbolic equations SIAM Journal on Numerical Analysis 28 (1991), 891-906. S. Schochet & E. Tadmor (1992) Regularized Chapman-Enskog expansion for scalar conservation laws Archive for Rational Mechanics and Analysis 119 (1992), 95-107 H. Nessyahu & E. Tadmor (1992) The convergence rate of approximate solutions for nonlinear scalar conservation laws SIAM Journal on Numerical Analysis 29 (1992), 1505-1519. E. Tadmor (1993) Total-variation and error estimates for spectral viscosity approximations Mathematics of Computation 60 (1993), 245-256. Y. Maday, S. M. Ould-Kaber & E. Tadmor (1993) Legendre pseudospectral viscosity method for nonlinear conservation laws SIAM Journal on Numerical Analysis 30 (1993), 321-342. E. Tadmor (1993) 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) 69-82. E. Tadmor & T. Tassa (1993) On the piecewise regularity of entropy solutions to scalar conservation laws Communications on Partial Differential Equations 18 (1993), 1631-1652. G.-Q. Chen, Q. Du & E. Tadmor (1993) Spectral viscosity approximations to multidimensional scalar conservation laws Mathematics of Computation 61 (1993), 629-643. P.-L. Lions, P. Perthame & E. Tadmor (1994) A kinetic formulation of multidimensional scalar conservation laws and related equations Journal of the American Mathematical Society 7 (1994), 169-191. H. Nessyahu, E. Tadmor & T. Tassa (1994) The convergence rate of Godunov type schemes SIAM Journal on Numerical Analysis 31 (1994), 1-16. J. Goodman, T. Hou & E. Tadmor (1994) On the stability of the unsmoothed Fourier method for hyperbolic equations Numerische Mathematik 67(1) (1994), 93-129. E. Tadmor (1994) 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). P.-L. Lions, P. Perthame & E. Tadmor (1994) Kinetic formulation of the isentropic gas dynamics and p-systems Communications in Mathematical Physics 163 (1994), 415-431.
1996 - 2000	Back to Top
E. Tadmor & T. Tassa (1997) On the homogenization of oscillatory solutions to scalar convection-diffusion equations Advances in Mathematical Sciences and Applications 7(1) (1997), 93-117. R. Kupferman & E. Tadmor (1997) 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 (1997) Non-oscillatory central schemes for the incompressible 2-D Euler equations (and with original figures) Mathematical Research Letters 4(3) (1997), 321-340. A. Kurganov & E. Tadmor (1997) Stiff systems of hyperbolic conservation laws: convergence and error estimates SIAM Journal on Mathematical Analysis 28 (1997), 1446-1456. D. Levy & E. Tadmor (1997) Non-oscillatory boundary treatment for staggered central schemes X-D. Liu & E. Tadmor (1998) Third order nonoscillatory central scheme for hyperbolic conservation laws Numerische Mathematik 79 (1998), 397-425. G.-S. Jiang & E. Tadmor (1998) Non-oscillatory central schemes for multidimensional hyperbolic conservation laws SIAM Journal on Scientific Computing 19 (1998), 1892-1917. E. Tadmor (1998) Approximate solution of nonlinear conservation laws and related equations ``Recent Advances in Partial Differential Equations and Applications" Proceedings of a Conference in honor of the 70^th birthdays of Peter D. Lax and Louis Nirenberg, June 1996, Venice (R. Spigler and S. Venakides eds.), AMS Proceedings of Symposia in Applied Mathematics 54 (1998), 325-368. D. Levy & E. Tadmor (1998) From semi-discrete to fully-discrete: stability of Runge-Kutta schemes by the energy method SIAM Review 40 (1998), 40-73. E. Tadmor (1998) Approximate solutions of nonlinear conservation laws ``Advanced Numerical Approximation of Nonlinear Hyperbolic Equations", Lecture notes in Mathematics 1697, 1997 C.I.M.E. course in Cetraro, Italy, June 1997 (A. Quarteroni ed.), Springer Verlag 1998, 1-149. G.-S. Jiang, D. Levy, C.-T. Lin, S. Osher & E. Tadmor (1998) High-resolution non-oscillatory central schemes with non-staggered grids for hyperbolic conservation laws SIAM Journal on Numerical Analysis, 35 (1998), 2147-2168. A. Gelb & E. Tadmor (1999) Detection of edges in spectral data Applied and Computational Harmonic Analysis, 7 (1999) 101-135. E. Tadmor & T. Tang (1999) Pointwise error estimates for scalar conservation laws with piecewise smooth solutions SIAM Journal on Numerical Analysis, 36 (1999), 1739-1756. E. Tadmor & T. Tang (1999) 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. A. Gelb & E. Tadmor (2000) Enhanced spectral viscosity approximations for conservation laws Applied Numerical Mathematics, 33 (2000) 3-21. C.-T. Lin & E. Tadmor (2000) High-resolution non-oscillatory central scheme for Hamilton-Jacobi equations SIAM Journal on Scientific Computations, 21 (2000) 2163-2186. M. Lopes Filho, H. J. Nussenzveig & E. Tadmor (2000) Approximate solutios of the incompressible Euler equations with no concentrations Annales de l'institut Henri Poincare (c) Non Linear Analysis, 17 (2000) 371-412. A. Kurganov & E. Tadmor (2000) New high resolution central schemes for nonlinear conservation laws and convection-diffusion equations Journal of Computational Physics, 160 (2000) 241-282. A. Kurganov & E. Tadmor (2000) New High-Resolution Semi-Discrete Central Schemes for Hamilton-Jacobi Equations Journal of Computational Physics, 160 (2000) 720-742. A. Gelb & E. Tadmor (2000) Detection of Edges in Spectral Data II. Nonlinear Enhancement SIAM Journal on Numerical Analysis 38 (2000) 1389-1408.
2001 - 2005	Back to Top
E. Tadmor & T. Tang (2001) Pointwise error estimates for relaxation approximations to conservation laws SIAM Journal on Mathematical Analysis 32 (2001), 870-886. C.-T. Lin & E. Tadmor (2001) L¹-stability and error estimates for approximate Hamilton-Jacobi solutions Numerische Mathematik 87 (2001) 701-735. E. Tadmor (2001) From semi-discrete to fully discrete: stability of Runge-Kutta schemes by the energy method. II ``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. S. Gottlieb, C.-W. Shu & E. Tadmor (2001) Strong stability preserving high order time discretization methods SIAM Review 43 (2001) 89-112. E. Tadmor (2001) On a new scale of regularity spaces with applications to Euler's equations Nonlinearity 14 (2001) 513-532. S. Engelberg, H. Liu & E. Tadmor (2001) Critical thresholds in Euler-Poisson equations Indiana University Math journal 50 (2001), 109-157 B.-Y. Guo, H.-P. Ma & E. Tadmor (2001) Spectral vanishing viscosity method for nonlinear conservation laws SIAM Journal on Numerical Analysis 39 (2001), 1254-1268. H. Liu & E. Tadmor (2001) Critical thresholds in a convolution model for nonlinear conservation laws SIAM Journal on Mathematical Analysis 33 (2001), 930-945 A. Kurganov & E. Tadmor (2002) Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers Numerical Methods for Partial Differential Equations, 18 (2002) 548-608. E. Tadmor & J. Tanner (2002) 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 (2002) Spectral reconstruction of one- and two-dimensional piecewise smooth functions from their discrete Data Mathematical Modeling and Numerical Analysis 36 (2002), 155-175. H.. Liu & E. Tadmor (2002) Spectral dynamics of the velocity gradient field in restricted flows Communications in Mathematical Physics 228 (2002), 435-466. E. Tadmor (2002) 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. H. Liu & E. Tadmor (2002) Semi-classical Limit of the Nonlinear Schrödinger-Poisson Equation with Sub-critical Initial Data Methods and Applications in Analysis 9(4) (2002), 517-532. T. Hou & E. Tadmor (2003) Hyperbolic Problems: Theory, Numerics, Applications Proceedings of the Ninth International Conference on Hyperbolic Problems held in CalTech, Pasadena, Mar., 2002 Springer-Verlag 2003, ISBN: 3-540-44333-9. H. Liu & E. Tadmor (2003) Critical thresholds in 2D restricted Euler-Poisson equations SIAM Journal of Applied Mathematics 63 (2003) 1889-1910. H. Liu & E. Tadmor (2003) Critical thresholds and conditional stability for Euler equations and related models ``Hyperbolic Problems: Theory, Numerics, Applications'', Proceedings of the 9^th International Conference on Hyperbolic Problems, Pasadena, Mar. 2002 (T. Hou and E. Tadmor, eds.), Springer (2003) 227-240. E. Tadmor & J. Tanner (2003) An adaptive order Godunov type central scheme ``Hyperbolic Problems: Theory, Numerics, Applications'', Proceedings of the 9^th International Conference on Hyperbolic Problems, Pasadena, Mar. 2002 (T. Hou and E. Tadmor, eds.) Springer (2003) 871-880. E. Tadmor (2003) Entropy stability theory for difference approximations of nonlinear conservation laws and related time dependent problems Acta Numerica 12 (2003), 451-512. H. Liu & E. Tadmor (2004) Rotation prevents finite-time breakdown Physica D 188 (2004) 262-276 E. Tadmor, S. Nezzar & L. Vese (2004) A multiscale image representation using hierarchical (BV,L²) decompositions Multiscale Modeling & Simulation 2 (4) (2004) 554-579 J. Balbas, E. Tadmor, & C.-C. Wu (2004) Non-oscillatory central schemes for one- and two-dimensional MHD equations Journal of Computational Physics 201 (2004) 261-285. [Numerical simulations] E. Tadmor (2004) Burgers' equation with vanishing hyper-viscosity Communications in Math. Sciences 2 (2), (2004) 317-324 E. Tadmor & J. Tanner (2005) Adaptive filters for piecewise smooth spectral data IMA Journal of Numerical Analysis 25(4) (2005) 635-647. E. Tadmor, M. Rascle & P. Bagnerini (2005) Compensated compactness for 2D conservation laws Journal of Hyperbolic Differential Equations 2(3) (2005) 697-712. J. Balbas & E. Tadmor (2005) A central differencing simulation of the Orszag-Tang vortex system IEEE Transactions on Plasma Science, The 4^th Triennial Special Issue on Images in Plasma Science 33(2) (2005) 470-471.
2006 - 2010	Back to Top
E. Tadmor (2006) On the entropy stability of difference schemes: a comparison principle and a homotopy approach ``Hyperbolic Problems: Theory, Numerics, Applications'', vol. I., Proceedings of the 10^th International Conference, Osaka, Sep. 2004 (F. Asukura, H. Aiso, S. Kawashima, A. Matsumura, S. Nishibata & K. Nishihara, eds.), Yokohama Publishers (2006) 195-204. A. Gelb & E. Tadmor (2006) Adaptive edge detectors for piecewise smooth data based on the minmod limiter Journal of Scientific Computing 23(2-3) (2006) 279-306. J. Balbas & E. Tadmor (2006) 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. E. Tadmor & W. Zhong (2006) Entropy stable approximations of Navier-Stokes equations with no artificial numerical viscosity Journal of Hyperbolic Differential Equations 3(3) (2006) 529-559. E. Tadmor & T. Tao (2007) Velocity averaging, kinetic formulations and regularizing effects in quasilinear PDEs Communications on Pure & Applied Mathematics 60 (2007), 1488-1521. Y.-J. Liu, C.-W. Shu, E. Tadmor & M. Zhang (2007) Central discontinuous Galerkin methods on overlapping cells with a non-oscillatory hierarchical reconstruction SIAM Journal on Numerical Analysis, 45(6) (2007), 2442-2467. K. Karlsen, M. Rascle & E. Tadmor (2007) On the existence and compactness of a two-dimensional resonant system of conservation laws Communications in Mathematical Sciences 5(2) (2007) 253-265. Y.-J. Liu, C.-W. Shu, E. Tadmor & M. Zhang (2007) Non-oscillatory hierarchical reconstruction for central and finite volume schemes Communications in Computational Physics 2(5) (2007) 933-963. E. Tadmor (2007) Filters, mollifiers and the computation of the Gibbs phenomenon Acta Numerica 16 (2007) 305-378. E. Tadmor & W. Zhong (2007) Novel entropy stable schemes for 1D and 2D fluid equations ``Hyperbolic Problems: Theory, Numerics, Applications'', Proceedings of the 11^th International Conference held in Lyon, July 2006 (S. Benzoni-Gavage and D. Serre, eds.), Springer (2007) 1111-1120. Y.-J. Liu, C.-W. Shu, E. Tadmor & M. Zhang (2008) L²-stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods Mathematical Modeling and Numerical Analysis 42 (2008) 593-607 [highlighted paper]. B. Cheng & E. Tadmor (2008) 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. E. Tadmor & D. Wei (2008) On the global regularity of sub-critical Euler-Poisson equations with pressure Journal of the European Mathematical Society, 10 (2008), 757-769. E. Tadmor, S. Nezzar & L. Vese (2008) Multiscale hierarchical decomposition of images with applications to deblurring, denoising and segmentation Communications in Mathematical Sciences 6(2) (2008) 281-307. S. Engelberg & E. Tadmor (2008) Recovery of edges from spectral data with noise---a new perspective SIAM Journal on Numerical Analysis 46(5) (2008), 2620-2635. E. Tadmor & W. Zhong (2008) Energy-preserving and stable approximations for the two-dimensional shallow water equations ``Mathematics and Computation - A Contemporary View", Proceedings of the Third Abel Symposium held in Ålesund, Norway May 2006 (H. Munthe-Kaas & B. Owren eds.), Abel Symposia 3, Springer (2008) 67-94. E. Tadmor & J. Zou (2008) Novel edge detection methods for incomplete and noisy spectral data Journal of Fourier Analysis and Applications 14(5) (2008) 744-763. D. Chae & E. Tadmor (2008) On the finite time blow-up of the Euler-Poisson equations in Rⁿ Communications in Mathematical Sceinces 6(3) (2008) 785-789. S.-Y. Ha & E. Tadmor (2008) From particle to kinetic and hydrodynamic descriptions of flocking Kinetic and Related Models 1(3) (2008) 415-435. U. Fjordholm, S. Mishra & E. Tadmor (2009) Energy preserving and energy stable schemes for the shallow water equations ``Foundations of Computational Mathematics", Proceedings of FoCM held in Hong Kong 2008 (F. Cucker, A. Pinkus & M. Todd, eds), London Math. Soc. Lecture Notes Ser. 363 (2009) 93-139. B. Cheng & E. Tadmor (2009) An improved local blow-up condition for Euler-Poisson equations with attractive forcing Physica D 238 (2009) 2062-2066. E. Tadmor & P. Athavale (2009) Multiscale image representation using integro-differential equations Inverse Problems and Imaging 3(4) (2009) 693-710. E.Tadmor, J.-G. Liu & A. Tzavaras (2009) Hyperbolic Problems: Theory, Numerics, Applications Proceedings of the Twelfth International Conference on Hyperbolic Problems held at the University of Maryland, College Park, June 9-13, 2008, AMS Proceedings of Symposia in Applied Mathematics, 2009 Vol. 67.1: Plenary & Invited Talks, ISBN: 978-0-8218-4729-9 Vol. 67.2: Contributed Talks, ISBN: 978-0-8218-4730-5. M. Lukacova - Medvidova & E. Tadmor (2009) On the entropy stability of Roe-type finite volume methods ``Hyperbolic Problems: Theory, Numerics, Applications'', Proceedings of the 12th International Conference held in University of Maryland, June 2008 (E. Tadmor, J.-G. Liu & A. Tzavaras, eds.), AMS Proc. Symp. Applied Math., 67(2) (2009) 765-774. A. Madrane & E. Tadmor (2009) Entropy stability of Roe-type upwind finite volume methods on unstructured grids ``Hyperbolic Problems: Theory, Numerics, Applications'', Proceedings of the 12th International Conference held in University of Maryland, June 2008 (E. Tadmor, J.-G. Liu & A. Tzavaras, eds.), AMS Proc. Symp. Applied Math., 67(2) (2009) 775-784. S. Mishra & E. Tadmor (2009) Vorticity preserving schemes using potential-based fluxes for the system wave equation ``Hyperbolic Problems: Theory, Numerics, Applications'', Proceedings of the 12th International Conference held in University of Maryland, June 2008 (E. Tadmor, J.-G. Liu & A. Tzavaras, eds.), AMS Proc. Symp. Applied Math., 67(2) (2009) 795-804. S. Mishra & E. Tadmor (2010) Constraint preserving schemes using potential-based fluxes. I. Multidimensional transport equations Communications in Computational Physics 9(3) (2010), 688-710. S. Mishra & E. Tadmor (2010) Potential-based, constraint preserving, genuinely multi-dimensional schemes for systems of conservation laws ``Nonlinear Partial Differential Equations'', Proceedings of the 2008-2009 Special Year in Nonlinear PDEs held in Center Advanced Study, Oslo (H. Holden & K. Karlsen, eds.), AMS Contemporary Mathematics 526 (2010), 295-314. P. Athavale & E. Tadmor (2010) Novel integro-differential equations in image processing and its applications ``Computational Imaging VIII'', Proceedings of SPIE meeting held Jan. 2010, San Jose (C. A. Bouman, I. Pollak, P. J. Wolfe eds.), vol. 7533, 75330S. B. Cheng & Tadmor (2010) Approximate periodic solutions for the rapidly rotating shallow-water and related equations ``Water Waves. Theory and Experiment'', Proceedings of the Conference held in Howard University, May 2008 (M. F. Mahmood, D. Henderson, H. Segur, eds), World Scientific (2010), pp. 69-78. H. Liu, E. Tadmor & D. Wei (2010) Global regularity of the 4D Restricted Euler Equations Physica D 239 (2010) 1225-1231.
2011 - 2015	Back to Top
P. Athavale & E. Tadmor (2011) Integro-differential equations based on (BV, L¹) image decomposition SIAM Journal on Imaging Sciences 4(1) (2011), 300-312. E. Tadmor (2011) Selected topics in approximate solutions of nonlinear conservation laws. High-resolution central schemes ``Nonlinear Conservation Laws and Applications'' (A. Bressan, G.-Q. Chen, M. Lewicka and D. Wang, eds), IMA Volumes in Mathematics and its Applications #153, Springer NY, (2011), pp. 101-122. U. Fjordholm, S. Mishra & E. Tadmor (2011) Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography Journal of Computational Physics 230 (2011), 5587-5609. S. Mishra & E. Tadmor (2011) Constraint preserving schemes using potential-based fluxes. II. Genuinely multi-dimensional schemes for systems of conservation laws SIAM Journal on Numerical Analysis 49(3) (2011), 1023-1045. Y.-J. Liu, C.-W. Shu, E. Tadmor & M. Zhang (2011) Central local discontinuous Galerkin methods on overlapping cells for diffusion equations Mathematical Modeling and Numerical Analysis 45 (2011), 1009-1032. E. Tadmor & C. Tan (2011) Hierarchical construction of bounded solutions of div U=F in critical regularity spaces ``Nonlinear Partial Differential Equations'', Proceedings of the 2010 Abel Symposium held in Oslo, Sep. 2010 (H. Holden & K. Karlsen eds.), Abel Symposia 7, Springer 2011, 255-269. S. Motsch & E. Tadmor (2011) A new model for self-organized dynamics and its flocking behavior Journal of Statistical Physics 144(5) (2011) 923-947. D. Wei, E. Tadmor & H. Bae (2012) Critical thresholds in multi-dimensional Euler-Poisson equations with radial symmetry Communications in Mathematical Sciences 10(1) (2012), 75-86. Back to Top S. Mishra & E. Tadmor (2012) Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for the MHD equations Mathematical Modeling and Numerical Analysis 46 (2012), 661-680. U. Fjordholm, S. Mishra & E. Tadmor (2012) Arbitrarily high order accurate entropy stable essentially non-oscillatory schemes for systems of conservation laws SIAM Journal on Numerical Analysis 50(2), (2012) 544-573. E. Tadmor & K. Waagan (2012) Adaptive spectral viscosity for hyperbolic conservation laws SIAM journal on Scientific Computation 34(2) (2012), A993-A1009. U. Fjordholm, S. Mishra & E. Tadmor (2012) ENO reconstruction and ENO interpolation are stable (+errata) Foundation of Computational Mathematics 13(2) (2012), 139-159. H. Bae, A. Biswas & E. Tadmor (2012) Analyticity and decay estimates of the Navier-Stokes equations in critical Besov spaces Archive for rational Mechanics and Analysis 205 (2012), 963-991. U. Fjordholm, S. Mishra & E. Tadmor (2012) Entropy stable ENO scheme ``Hyperbolic Problems: Theory, Numerics, Applications'', Proceedings of the 13th International Conference held in Beijing, June 2010 (T. Li & S. Jiang, eds.), vol 1, Contemporary Appl. Math., Higher Ed. Press 17 (2012) 12-27. E. Tadmor (2012) A review of numerical methods for nonlinear partial differential equations Bulletin of the AMS, 49(4) (2012) 507-554. A. Biswas & E. Tadmor (2014) Dissipation versus quadratic nonlinearity: from a priori energy bound to higher-order regularizing effect Nonlinearity 27 (2014) 545-562. E. Tadmor & C. Tan (2014) Critical thresholds in flocking hydrodynamics with nonlocal alignment Proceedings of the Royal Society A 372:20130401 (2014). C. Bardos & E. Tadmor (2014) Stability and spectral convergence of Fourier method for nonlinear problems. On the shortcomings of the 2/3 de-aliasing method Numerische Mathematik 129 (2014) 749-782. S. Motsch & E. Tadmor (2014) Heterophilious dynamics enhances consensus SIAM Review 56(4) (2014) 577–621. E. Tadmor (2015) Mathematical aspects of self-organized dynamics: consensus, emergence of leaders, and social hydrodynamics SIAM News 48(9) 2015.
2016 - 2020	Back to Top
J. A. Carrillo, Y.-P. Choi E. Tadmor & C. Tan (2016) Critical thresholds in 1D Euler equations with nonlocal forces Mathematical Models and Methods in Applied Sciences 26(1) (2016) 185-206. E. Tadmor (2016) Perfect derivatives, conservative differences and entropy stable computation of hyperbolic conservation laws Discrete and Continuous Dynamical Systems-A 36(8) (2016) 4579-4598. E. Tadmor (2016) Hierarchical construction of bounded solutions in critical regularity spaces Communications in Pure & Applied Mathematics 69(6) (2016) 1087-1109. U. Fjordholm, S. Mishra & E. Tadmor (2016) On the computation of measure-valued solutions Acta Numerica 25 (2016) 567-679. E. Tadmor (2016) Entropy stable schemes Handbook of Numerical Methods for Hyperbolic problems. Vol. XVII (R. Abgrall and C.-W. Shu, eds), Elsevier (2016) pp. 467-493. U. Fjordholm, R, Kappeli, S. Mishra & E. Tadmor (2017) Construction of approximate entropy measure valued solutions for hyperbolic systems of conservation laws Foundations of Computational Mathematics 17 (2017) 763–827. R. Shvydkoy & E. Tadmor (2017) Eulerian dynamics with a commutator forcing (with erratum) Transactions of Mathematics and its Applications 1(1) (2017) 1-26. S. He & E. Tadmor (2017) Global regularity of two-dimensional flocking hydrodynamics Comptes rendus - Mathématique Ser. I 355 (2017) 795–805. R. Shvydkoy & E. Tadmor (2017) Eulerian dynamics with a commutator forcing II: flocking Discrete and Continuous Dynamical Systems-A 37(11) (2017) 5503-5520. R. Shvydkoy & E. Tadmor (2018) Eulerian dynamics with a commutator forcing III: Fractional diffusion of order 0<α<1 Physica D, 376-377 (2018) 131-137 A. Chertock, S. Cui, A. Kurganov, S.-N. Özcan & E. Tadmor (2018) Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes Journal of Computational Physics 358 (2018) 36–52. S. He & E. Tadmor (2019) Suppressing chemotactic blow-up through a fast splitting scenario on the plane Archive for Rational Mechanics and Analysis 232 (2019) 951-986. O. Bhatoo, A. Peer, E. Tadmor, D. Tangman & A. Saib Efficient conservative second order central upwind schemes for option pricing problems Journal of Computational Finance 22(5) (2019) 71-101. J. Morales, J. Peszek & E. Tadmor (2019) Flocking with short-range interactions Journal of Statistical Physics 176 (2019) 382-397. O. Bhatoo, A. Peer, E. Tadmor, D. Tangman & A. Saib (2019) Conservative third-order central-upwind schemes for option pricing Pproblems Vietnam Journal of Mathematics 47 (2019) 813-833. A. Gouasmi, K. Duraisamy, S. M. Murman & E. Tadmor (2020) A minimum entropy principle in the compressible multicomponent Euler equations Mathematical Modelling and Numerical Analysis 54 (2020) 373-389. R. Shu & E. Tadmor (2020) Flocking hydrodynamics with external potentials Archive for Rational Mechanics and Analysis 238 (2020) 347-381. R. Shvydkoy & E. Tadmor (2020) Topologically-based fractional diffusion and emergent dynamics with short-range interactions SIAM J. Math. Anal.52(6) (2020) 5792-5839. B. Gess, J. Sauer & E. Tadmor (2020) Optimal regularity in time and space for the porous medium equation Analysis & PDE 13(8) (2020) 2441-2480.
2021 - 2025	Back to Top
R. Shu & E. Tadmor (2021) Anticipation breeds alignment Archive for Rational Mechanics and Analysis 240 (2021) 203-241. E. Tadmor (2021) On the mathematics of swarming: emergent behavior in alignment dynamics Notices of the AMS 68(4) (2021) 493-503. S. He & E. Tadmor (2021) A game of alignment: collective behavior of multi-species Annal. de l'institut Henri Poincare (c) Non Linear Analysis 38(4) (2021) 1031-1053. R. Shvydkoy & E. Tadmor (2021) Multi-flocks: emergent dynamics in systems with multi-scale collective behavior Multiscale Modeling and Simulation 19(2) (2021) 1115-1141. R. Shu & E. Tadmor (2021) Newtonian repulsion and radial confinement: convergence towards steady state Mathematical Models and Methods in Applied Sciences 31(7) (2021) 1297-1321. S. He & E. Tadmor (2021) Multi-species Patlak-Keller-Segel system Indiana University Math Journal 70(4) (2021) 1577-1624. D. Hardin, E. Saff, R. Shu & E. Tadmor (2021) Dynamics of particles on a curve with pairwise hyper-singular repulsion Discrete & Continuous Dynamical Systems 41(12) (2021) 5509-5536. S. He, E. Tadmor & A. Zlatoš (2022) On the fast spreading scenario Communications of the AMS 2 (2022) 149-171. D. Lear, T. M. Leslie, R. Shvydkoy & E. Tadmor (2022) Geometric structure of mass concentration sets for pressureless Euler alignment systems Advances in Mathmematics 401(4) (2022) 108290. E. Tadmor & C. Tan (2022) Critical threshold for global regularity of Euler-Monge-Ampère system with radial symmetry SIAM Journal on Mathematical Analysis 54(4) (2022) 4277-4296. P.-E Jabin, H.-Y. Lin & E. Tadmor (2022) Commutator method for averaging lemmas Analysis & PDE 15(6) (2022) 1561-1584. A new commutator method for averaging lemmas Séminaire Laurent Schwartz — EDP et applications (2019-2020), Talk no. 10 (2020) J. Lu & E. Tadmor (2023) Hydrodynamic alignment with pressure II. Multispecies Quarterly of Applied Mathematics 81(2) (2023) 259-279. S. Foucart, E. Tadmor & M. Zhong (2023) On the sparsity of LASSO minimizers in sparse data recovery Constructive Approximation 57 (2023) 901-919. E. Tadmor (2023) Long time and large crowd dynamics of discrete Cucker-Smale alignment models Pure and Applied Functional Analysis8(2) (2023) 603-626. E. Tadmor (2023) Swarming: hydrodynamic alignment with pressure Bulletin of the AMS 60(3) (2023) 285-325. J. Greene, E. Tadmor & M. Zhong (2023) The emergence of lines of hierarchy in collective motion of biological systems Physical Biology 20 (2023) 055001. J. Lu & E. Tadmor (2024) Revisiting high-resolution schemes with van-Albada slope limiter Communications on Applied Mathematics and Computation 6 (2024) 1924–1953. E. Tadmor & A. Zenginoglu (2024) Swarm-based optimization with random descent Acta Applicandae Mathematicae 190(2) (2024). Y.-P. Choi, D.-h. Kim, D. Koo & E. Tadmor (2024) Critical thresholds in pressureless Euler-Poisson equations with background states ArXiv:2402.12839 (2024). Z. Ding, M. Guerra, Q. Li & E. Tadmor (2024) Swarm-based gradient descent meets simulated annealing SIAM Journal on Numerical Analysis ArXiv2404.18015 (2024). A. Cohen, R. DeVore & E. Tadmor (2024) Constructions of bounded solutions of div u=f in critical spaces in ``Multiscale, Nonlinear and Adaptive Approximation II'' (R. DeVore and A. Kunoth, eds), Springer, ISBN: 9783031758010, 2024 pp. 177-200. J. Lu, E. Tadmor & A. Zenginoglu (2024) Swarm-based gradient descent method for non-convex optimization Communications of the AMS (2024). E. Tadmor (2024) On the stability of Runge-Kutta methods for arbitrarily large systems of ODEs Communications on Pure & Applied Mathematics (2024).
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